cgamdev.cpp File Reference

(* $Id$)

$Id$ More...

#include <fvar.hpp>

Go to the source code of this file.

Defines
#define	EPS   1.e-9
#define	FPMIN   1.0e-30
#define	ITMAX   200
Functions
double	cumd_gamma (double x, double a)
double	gammp (double a, double x)
void	gcf (double &gammcf, double a, double x, double &gln)
	Incomplete gamma function.
double	get_initial_u (double a, double y)
void	gser (double &gamser, double a, double x, double &gln)
	Incomplete gamma function.
double	inv_cumd_gamma (double y, double a)
double	Sn (double x, double a)

---

Detailed Description

$Id$

Author: David Fournier Copyright (c) 2008-2012 Regents of the University of California

This file deals with the Incomplete Gamma Functions of constant types. All supporting mathematical functions required to compute the Inmomplete Gamma Function are included. They being: log gamma, and some polynomial evaluation functions.

Definition in file cgamdev.cpp.

---

Define Documentation

#define EPS   1.e-9

Definition at line 18 of file cgamdev.cpp.

#define FPMIN   1.0e-30

Definition at line 20 of file cgamdev.cpp.

Referenced by gcf().

#define ITMAX   200

Definition at line 17 of file cgamdev.cpp.

Referenced by gcf(), and gser().

---

Function Documentation

double cumd_gamma	(	double	x,
		double	a
	)

Definition at line 39 of file cgamdev.cpp.

Referenced by inv_cumd_gamma().

double gammp	(	double	a,
		double	x
	)

Definition at line 24 of file cgamdev.cpp.

Referenced by inv_cumd_gamma().

static void gcf	(	double &	gammcf,
		double	a,
		double	x,
		double &	gln
	)

Incomplete gamma function.

Continued fraction approximation.

The implementation of this algorithm was inspired by "Numerical Recipes in C", 2nd edition, Press, Teukolsky, Vetterling, Flannery, chapter 6

Definition at line 60 of file cgamdev.cpp.

Referenced by cumd_gamma(), and gammp().

static double get_initial_u	(	double	a,
		double	y
	)

Definition at line 152 of file cgamdev.cpp.

Referenced by inv_cumd_gamma().

static void gser	(	double &	gamser,
		double	a,
		double	x,
		double &	gln
	)

Incomplete gamma function.

Series approximation.

The implementation of this algorithm was inspired by "Numerical Recipes in C", 2nd edition, Press, Teukolsky, Vetterling, Flannery, chapter 6

Definition at line 93 of file cgamdev.cpp.

Referenced by cumd_gamma(), and gammp().

double inv_cumd_gamma	(	double	y,
		double	a
	)

Definition at line 125 of file cgamdev.cpp.

Referenced by gamma_deviate(), inv_cumd_gamma(), and norm_to_gamma().

double Sn	(	double	x,
		double	a
	)

Definition at line 178 of file vgamdev.cpp.

Referenced by get_initial_u().