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GammaSeries.cc File Reference

#include "CommonTools/Statistics/src/GammaSeries.h"
#include "CommonTools/Statistics/src/GammaLn.h"
#include <iostream>
#include <cmath>

Go to the source code of this file.

Defines
#define	EPS   3.0e-7
#define	ITMAX   100
Functions
float	GammaSeries (float a, float x)
	Returns the series summation of the series representation of the incomplete gamma function P(a,x).

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Define Documentation

#define EPS   3.0e-7

Definition at line 7 of file GammaSeries.cc.

#define ITMAX   100

Definition at line 6 of file GammaSeries.cc.

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Function Documentation

float GammaSeries	(	float	a,
		float	x
	)

Returns the series summation of the series representation of the incomplete gamma function P(a,x).

source: Numerical Recipes

Definition at line 9 of file GammaSeries.cc.

References TestMuL1L2Filter_cff::cerr, lat::endl(), EPS, index, ITMAX, and sum().

Referenced by IncompleteGammaComplement::ln(), and IncompleteGammaComplement::value().

{
  if( x < 0.0 ) 
    std::cerr << "GammaSeries::negative argument x" << std::endl;

  if( x == 0. )
    return 0.;

  // coefficient c_n of x^n is Gamma(a)/Gamma(a+1+n), which leads to the
  // recurrence relation c_n = c_(n-1) / (a+n-1) with c_0 = 1/a
  double term = 1/a;
  double sum = term;
  double aplus = a;
  for( int index = 1; index <= ITMAX; index++) {
    ++aplus;
    term *= x/aplus;
    sum += term;
    if( fabs(term) < fabs(sum)*EPS )
      // global coefficient e^-x * x^a / Gamma(a)
      return sum;
  }
  std::cerr << "GammaSeries::a too large, ITMAX too small" << std::endl;
  return 0.;
}

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