#include <G4SimpleIntegration.hh>

Public Member Functions
	G4SimpleIntegration (function pFunction)

	G4SimpleIntegration (function pFunction, G4double pTolerance)

	~G4SimpleIntegration ()=default

	G4SimpleIntegration (const G4SimpleIntegration &)=delete

G4SimpleIntegration &	operator= (const G4SimpleIntegration &)=delete

G4double	Trapezoidal (G4double xInitial, G4double xFinal, G4int iterationNumber)

G4double	MidPoint (G4double xInitial, G4double xFinal, G4int iterationNumber)

G4double	Gauss (G4double xInitial, G4double xFinal, G4int iterationNumber)

G4double	Simpson (G4double xInitial, G4double xFinal, G4int iterationNumber)

G4double	AdaptGaussIntegration (G4double xInitial, G4double xFinal)

Protected Member Functions
G4double	Gauss (G4double xInitial, G4double xFinal)

void	AdaptGauss (G4double xInitial, G4double xFinal, G4double &sum, G4int &depth)

Detailed Description

Definition at line 45 of file G4SimpleIntegration.hh.

Constructor & Destructor Documentation

◆ G4SimpleIntegration() [1/3]

G4SimpleIntegration::G4SimpleIntegration ( function pFunction )

explicit

Definition at line 34 of file G4SimpleIntegration.cc.

35 : fFunction(pFunction)

36{}

◆ G4SimpleIntegration() [2/3]

G4SimpleIntegration::G4SimpleIntegration	(	function	pFunction,
		G4double	pTolerance
	)

Definition at line 38 of file G4SimpleIntegration.cc.

  : fFunction(pFunction)
  , fTolerance(pTolerance)
{}

◆ ~G4SimpleIntegration()

G4SimpleIntegration::~G4SimpleIntegration ( )

default

◆ G4SimpleIntegration() [3/3]

G4SimpleIntegration::G4SimpleIntegration ( const G4SimpleIntegration & )

delete

Member Function Documentation

◆ AdaptGauss()

void G4SimpleIntegration::AdaptGauss	(	G4double	xInitial,
		G4double	xFinal,
		G4double &	sum,
		G4int &	depth
	)

protected

Definition at line 132 of file G4SimpleIntegration.cc.

{
  if(depth > fMaxDepth)
  {
    G4Exception("G4SimpleIntegration::AdaptGauss()", "Error", FatalException,
                "Function varies too rapidly !");
  }
  G4double xMean     = (xInitial + xFinal) / 2.0;
  G4double leftHalf  = Gauss(xInitial, xMean);
  G4double rightHalf = Gauss(xMean, xFinal);
  G4double full      = Gauss(xInitial, xFinal);
  if(std::fabs(leftHalf + rightHalf - full) < fTolerance)
  {
    sum += full;
  }
  else
  {
    ++depth;
    AdaptGauss(xInitial, xMean, sum, depth);
    AdaptGauss(xMean, xFinal, sum, depth);
  }
}

Referenced by AdaptGauss(), and AdaptGaussIntegration().

◆ AdaptGaussIntegration()

G4double G4SimpleIntegration::AdaptGaussIntegration	(	G4double	xInitial,
		G4double	xFinal
	)

Definition at line 111 of file G4SimpleIntegration.cc.

{
  G4int depth  = 0;
  G4double sum = 0.0;
  AdaptGauss(xInitial, xFinal, sum, depth);
  return sum;
}

◆ Gauss() [1/2]

G4double G4SimpleIntegration::Gauss	(	G4double	xInitial,
		G4double	xFinal
	)

protected

Definition at line 120 of file G4SimpleIntegration.cc.

{
  static const G4double root = 1.0 / std::sqrt(3.0);
 
  G4double xMean = (xInitial + xFinal) / 2.0;
  G4double Step  = (xFinal - xInitial) / 2.0;
  G4double delta = Step * root;
  G4double sum   = (fFunction(xMean + delta) + fFunction(xMean - delta));
 
  return sum * Step;
}

◆ Gauss() [2/2]

G4double G4SimpleIntegration::Gauss	(	G4double	xInitial,
		G4double	xFinal,
		G4int	iterationNumber
	)

Definition at line 74 of file G4SimpleIntegration.cc.

{
  G4double x                 = 0.;
  static const G4double root = 1.0 / std::sqrt(3.0);
  G4double Step              = (xFinal - xInitial) / (2.0 * iterationNumber);
  G4double delta             = Step * root;
  G4double mean              = 0.0;
  for(G4int i = 0; i < iterationNumber; ++i)
  {
    x = (2 * i + 1) * Step;
    mean += (fFunction(x + delta) + fFunction(x - delta));
  }
  return mean * Step;
}

Referenced by AdaptGauss().

◆ MidPoint()

G4double G4SimpleIntegration::MidPoint	(	G4double	xInitial,
		G4double	xFinal,
		G4int	iterationNumber
	)

Definition at line 60 of file G4SimpleIntegration.cc.

{
  G4double Step = (xFinal - xInitial) / iterationNumber;
  G4double x    = xInitial + 0.5 * Step;
  G4double mean = fFunction(x);
  for(G4int i = 1; i < iterationNumber; ++i)
  {
    x += Step;
    mean += fFunction(x);
  }
  return mean * Step;
}

◆ operator=()

G4SimpleIntegration & G4SimpleIntegration::operator= ( const G4SimpleIntegration & )

delete

◆ Simpson()

G4double G4SimpleIntegration::Simpson	(	G4double	xInitial,
		G4double	xFinal,
		G4int	iterationNumber
	)

Definition at line 90 of file G4SimpleIntegration.cc.

{
  G4double Step  = (xFinal - xInitial) / iterationNumber;
  G4double x     = xInitial;
  G4double xPlus = xInitial + 0.5 * Step;
  G4double mean  = (fFunction(xInitial) + fFunction(xFinal)) * 0.5;
  G4double sum   = fFunction(xPlus);
  for(G4int i = 1; i < iterationNumber; ++i)
  {
    x += Step;
    xPlus += Step;
    mean += fFunction(x);
    sum += fFunction(xPlus);
  }
  mean += 2.0 * sum;
  return mean * Step / 3.0;
}

◆ Trapezoidal()

G4double G4SimpleIntegration::Trapezoidal	(	G4double	xInitial,
		G4double	xFinal,
		G4int	iterationNumber
	)

Definition at line 46 of file G4SimpleIntegration.cc.

{
  G4double Step = (xFinal - xInitial) / iterationNumber;
  G4double mean = (fFunction(xInitial) + fFunction(xFinal)) * 0.5;
  G4double x    = xInitial;
  for(G4int i = 1; i < iterationNumber; ++i)
  {
    x += Step;
    mean += fFunction(x);
  }
  return mean * Step;
}

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

Public Member Functions

Protected Member Functions