Faddeeva.cc File Reference

#include "Faddeeva.h"
#include <float.h>
#include <math.h>

Include dependency graph for Faddeeva.cc:

Go to the source code of this file.

Macros
#define	_GNU_SOURCE
#define	C(a, b)   ((a) + I*(b))
#define	FADDEEVA(name)   Faddeeva_ ## name
#define	FADDEEVA_RE(name)   Faddeeva_ ## name ## _re
#define	Inf   (1./0.)
#define	NaN   (0./0.)
#define	USE_CONTINUED_FRACTION   1

Typedefs
typedef double complex	cmplx

Functions
static cmplx	cpolar (double r, double t)
static double	erfcx_y100 (double y100)
cmplx	Faddeeva_Dawson (cmplx z, double relerr)
double	Faddeeva_Dawson_re (double x)
cmplx	Faddeeva_erf (cmplx z, double relerr)
double	Faddeeva_erf_re (double x)
cmplx	Faddeeva_erfc (cmplx z, double relerr)
double	Faddeeva_erfc_re (double x)
cmplx	Faddeeva_erfcx (cmplx z, double relerr)
double	Faddeeva_erfcx_re (double x)
cmplx	Faddeeva_erfi (cmplx z, double relerr)
double	Faddeeva_erfi_re (double x)
cmplx	Faddeeva_w (cmplx z, double relerr)
double	Faddeeva_w_im (double x)
static double	sinc (double x, double sinx)
static double	sinh_taylor (double x)
static double	sqr (double x)
static double	w_im_y100 (double y100, double x)

Variables
static const double	expa2n2 []

Macro Definition Documentation

#define _GNU_SOURCE

Definition at line 219 of file Faddeeva.cc.

#define C	(		a,
			b
	)		((a) + I*(b))

Definition at line 253 of file Faddeeva.cc.

Referenced by cpolar(), DEFUN_DLD(), Faddeeva_Dawson(), Faddeeva_erf(), Faddeeva_erfc(), Faddeeva_erfcx(), Faddeeva_erfi(), Faddeeva_w(), Fbsxfun(), kron(), and xpow().

#define FADDEEVA

(

name

)

Faddeeva_ ## name

Definition at line 226 of file Faddeeva.cc.

Referenced by Faddeeva_Dawson(), Faddeeva_Dawson_re(), Faddeeva_erf(), Faddeeva_erfc(), Faddeeva_erfcx(), Faddeeva_erfi(), Faddeeva_erfi_re(), and Faddeeva_w().

#define FADDEEVA_RE

(

name

)

Faddeeva_ ## name ## _re

Definition at line 227 of file Faddeeva.cc.

Referenced by Faddeeva_Dawson(), Faddeeva_erf(), Faddeeva_erf_re(), Faddeeva_erfc(), Faddeeva_erfc_re(), and Faddeeva_w().

#define Inf   (1./0.)

Definition at line 254 of file Faddeeva.cc.

Referenced by Faddeeva_erf(), Faddeeva_erfc(), Faddeeva_erfi_re(), and install_data_fcns().

#define NaN   (0./0.)

Definition at line 255 of file Faddeeva.cc.

Referenced by Faddeeva_Dawson(), Faddeeva_erf(), Faddeeva_w(), install_data_fcns(), and w_im_y100().

#define USE_CONTINUED_FRACTION   1

Typedef Documentation

typedef double complex cmplx

Definition at line 224 of file Faddeeva.cc.

Function Documentation

static cmplx cpolar ( double  r, double  t  )

inlinestatic

Definition at line 258 of file Faddeeva.cc.

References C.

Referenced by Faddeeva_w().

static double erfcx_y100 ( double  y100 )

static

Definition at line 1011 of file Faddeeva.cc.

Referenced by Faddeeva_erfcx_re().

cmplx Faddeeva_Dawson	(	cmplx	z,
		double	relerr
	)

Definition at line 472 of file Faddeeva.cc.

References C, Faddeeva::erfcx(), FADDEEVA, FADDEEVA_RE, NaN, Faddeeva::w(), Faddeeva::w_im(), and x.

double Faddeeva_Dawson_re

(

double

x

)

Definition at line 465 of file Faddeeva.cc.

References FADDEEVA, Faddeeva::w_im(), and x.

cmplx Faddeeva_erf	(	cmplx	z,
		double	relerr
	)

Definition at line 310 of file Faddeeva.cc.

References C, Faddeeva::erf(), FADDEEVA, FADDEEVA_RE, Inf, NaN, Faddeeva::w(), Faddeeva::w_im(), and x.

double Faddeeva_erf_re

(

double

x

)

Definition at line 278 of file Faddeeva.cc.

References Faddeeva::erf(), Faddeeva::erfcx(), FADDEEVA_RE, and x.

cmplx Faddeeva_erfc	(	cmplx	z,
		double	relerr
	)

Definition at line 431 of file Faddeeva.cc.

References C, Faddeeva::erfcx(), FADDEEVA, FADDEEVA_RE, Inf, Faddeeva::w(), Faddeeva::w_im(), and x.

double Faddeeva_erfc_re

(

double

x

)

Definition at line 416 of file Faddeeva.cc.

References Faddeeva::erfc(), Faddeeva::erfcx(), FADDEEVA_RE, and x.

cmplx Faddeeva_erfcx	(	cmplx	z,
		double	relerr
	)

Definition at line 272 of file Faddeeva.cc.

References C, FADDEEVA, and Faddeeva::w().

double Faddeeva_erfcx_re

(

double

x

)

Definition at line 1420 of file Faddeeva.cc.

References erfcx_y100(), and x.

cmplx Faddeeva_erfi	(	cmplx	z,
		double	relerr
	)

Definition at line 402 of file Faddeeva.cc.

References C, Faddeeva::erf(), and FADDEEVA.

double Faddeeva_erfi_re

(

double

x

)

Definition at line 409 of file Faddeeva.cc.

References FADDEEVA, Inf, Faddeeva::w_im(), and x.

cmplx Faddeeva_w	(	cmplx	z,
		double	relerr
	)

Definition at line 678 of file Faddeeva.cc.

References a2, C, c1, cpolar(), Faddeeva::erfcx(), expa2n2, FADDEEVA, FADDEEVA_RE, floor(), NaN, sinc(), sinh_taylor(), sqr(), Faddeeva::w_im(), wi, and x.

double Faddeeva_w_im

(

double

x

)

Definition at line 1862 of file Faddeeva.cc.

References w_im_y100(), and x.

static double sinc ( double  x, double  sinx  )

inlinestatic

Definition at line 607 of file Faddeeva.cc.

References x.

Referenced by Faddeeva_w().

static double sinh_taylor ( double  x )

inlinestatic

Definition at line 612 of file Faddeeva.cc.

References x.

Referenced by Faddeeva_w().

static double sqr ( double  x )

inlinestatic

Definition at line 617 of file Faddeeva.cc.

References x.

Referenced by Faddeeva_w().

static double w_im_y100 ( double  y100, double  x  )

static

Definition at line 1456 of file Faddeeva.cc.

References NaN, and x.

Referenced by Faddeeva_w_im().

Variable Documentation

const double expa2n2[]

static

Definition at line 621 of file Faddeeva.cc.

Referenced by Faddeeva_w().