Genfun::DefiniteIntegral::Clockwork::XtMidpointQuadratureRule Class Reference

Inheritance diagram for Genfun::DefiniteIntegral::Clockwork::XtMidpointQuadratureRule:

Public Member Functions
	XtMidpointQuadratureRule ()
	~XtMidpointQuadratureRule ()
virtual double	integrate (const AbsFunction &function, double a, double b, unsigned int j) const
virtual unsigned int	stepMultiplier () const
virtual unsigned int	numFunctionCalls () const
Public Member Functions inherited from Genfun::DefiniteIntegral::Clockwork::QuadratureRule
	QuadratureRule ()
virtual	~QuadratureRule ()
virtual double	integrate (const AbsFunction &function, double a, double b, unsigned int j) const =0
virtual unsigned int	stepMultiplier () const =0
virtual unsigned int	numFunctionCalls () const =0

Detailed Description

Definition at line 77 of file DefiniteIntegral.cc.

Constructor & Destructor Documentation

XtMidpointQuadratureRule()

Genfun::DefiniteIntegral::Clockwork::XtMidpointQuadratureRule::XtMidpointQuadratureRule ( )

inline

Definition at line 82 of file DefiniteIntegral.cc.

:retVal(0),nFunctionCalls(0) {};

~XtMidpointQuadratureRule()

Genfun::DefiniteIntegral::Clockwork::XtMidpointQuadratureRule::~XtMidpointQuadratureRule ( )

inline

Definition at line 85 of file DefiniteIntegral.cc.

{};

Member Function Documentation

integrate()

double Genfun::DefiniteIntegral::Clockwork::XtMidpointQuadratureRule::integrate ( const AbsFunction &  function, double  a, double  b, unsigned int  j  ) const

virtual

Implements Genfun::DefiniteIntegral::Clockwork::QuadratureRule.

Definition at line 246 of file DefiniteIntegral.cc.

                                                                                                                                              {
    unsigned int it, j;
    if (n==1) {
      retVal = (bb-aa)*(function((aa+bb)/2.0));
      nFunctionCalls+=1;
    }
    else { 
      for (it=1,j=1;j<n-1;j++)  it *=3;
      double tnm=it;
      double del  = (bb-aa)/(3.0*tnm);
      double ddel = del+del;
      double x=aa+0.5*del;
      double sum=0;
      for (j=1;j<=it;j++) {
    sum +=function(x);
    x+=ddel;
    sum +=function(x);
    x+=del;
    nFunctionCalls+=2;
      }
      retVal = (retVal+(bb-aa)*sum/tnm)/3.0;
    }
    return retVal;
  }

numFunctionCalls()

virtual unsigned int Genfun::DefiniteIntegral::Clockwork::XtMidpointQuadratureRule::numFunctionCalls ( ) const

inlinevirtual

Implements Genfun::DefiniteIntegral::Clockwork::QuadratureRule.

Definition at line 97 of file DefiniteIntegral.cc.

{return nFunctionCalls;};

stepMultiplier()

virtual unsigned int Genfun::DefiniteIntegral::Clockwork::XtMidpointQuadratureRule::stepMultiplier ( ) const

inlinevirtual

Implements Genfun::DefiniteIntegral::Clockwork::QuadratureRule.

Definition at line 94 of file DefiniteIntegral.cc.

{return 3;}

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

• DefiniteIntegral.cc