Faddeeva.cc File Reference

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

Include dependency graph for Faddeeva.cc:

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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

_GNU_SOURCE

#define _GNU_SOURCE

Definition at line 212 of file Faddeeva.cc.

C

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

Definition at line 246 of file Faddeeva.cc.

FADDEEVA

#define FADDEEVA

(

name

)

Faddeeva_ ## name

Definition at line 219 of file Faddeeva.cc.

FADDEEVA_RE

#define FADDEEVA_RE

(

name

)

Faddeeva_ ## name ## _re

Definition at line 220 of file Faddeeva.cc.

Inf

#define Inf   (1./0.)

Definition at line 247 of file Faddeeva.cc.

NaN

#define NaN   (0./0.)

Definition at line 248 of file Faddeeva.cc.

USE_CONTINUED_FRACTION

#define USE_CONTINUED_FRACTION   1

Typedef Documentation

cmplx

typedef double complex cmplx

Definition at line 217 of file Faddeeva.cc.

Function Documentation

cpolar()

static cmplx cpolar ( double  r, double  t  )

inlinestatic

Definition at line 251 of file Faddeeva.cc.

References C, octave::math::isnan(), and r.

Referenced by Faddeeva_w().

erfcx_y100()

static double erfcx_y100 ( double  y100 )

static

Definition at line 1004 of file Faddeeva.cc.

Referenced by Faddeeva_erfcx_re().

Faddeeva_Dawson()

cmplx Faddeeva_Dawson	(	cmplx	z,
		double	relerr
	)

Definition at line 465 of file Faddeeva.cc.

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

Faddeeva_Dawson_re()

double Faddeeva_Dawson_re

(

double

x

)

Definition at line 458 of file Faddeeva.cc.

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

Faddeeva_erf()

cmplx Faddeeva_erf	(	cmplx	z,
		double	relerr
	)

Definition at line 303 of file Faddeeva.cc.

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

Faddeeva_erf_re()

double Faddeeva_erf_re

(

double

x

)

Definition at line 271 of file Faddeeva.cc.

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

Faddeeva_erfc()

cmplx Faddeeva_erfc	(	cmplx	z,
		double	relerr
	)

Definition at line 424 of file Faddeeva.cc.

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

Faddeeva_erfc_re()

double Faddeeva_erfc_re

(

double

x

)

Definition at line 409 of file Faddeeva.cc.

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

Faddeeva_erfcx()

cmplx Faddeeva_erfcx	(	cmplx	z,
		double	relerr
	)

Definition at line 265 of file Faddeeva.cc.

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

Faddeeva_erfcx_re()

double Faddeeva_erfcx_re

(

double

x

)

Definition at line 1413 of file Faddeeva.cc.

References erfcx_y100(), and x.

Faddeeva_erfi()

cmplx Faddeeva_erfi	(	cmplx	z,
		double	relerr
	)

Definition at line 395 of file Faddeeva.cc.

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

Faddeeva_erfi_re()

double Faddeeva_erfi_re

(

double

x

)

Definition at line 402 of file Faddeeva.cc.

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

Faddeeva_w()

cmplx Faddeeva_w	(	cmplx	z,
		double	relerr
	)

Definition at line 671 of file Faddeeva.cc.

References a2, C, octave::math::copysign(), cpolar(), Faddeeva::erfcx(), expa2n2, FADDEEVA, FADDEEVA_RE, octave::math::floor(), octave::math::isinf(), octave::math::isnan(), n, NaN, octave::math::pi, sinc(), sinh_taylor(), sqr(), Faddeeva::w_im(), octave::wi, and x.

Faddeeva_w_im()

double Faddeeva_w_im

(

double

x

)

Definition at line 1855 of file Faddeeva.cc.

References w_im_y100(), and x.

sinc()

static double sinc ( double  x, double  sinx  )

inlinestatic

Definition at line 600 of file Faddeeva.cc.

References x.

Referenced by Faddeeva_w().

sinh_taylor()

static double sinh_taylor ( double  x )

inlinestatic

Definition at line 605 of file Faddeeva.cc.

References x.

Referenced by Faddeeva_w().

sqr()

static double sqr ( double  x )

inlinestatic

Definition at line 610 of file Faddeeva.cc.

References x.

Referenced by Faddeeva_w().

w_im_y100()

static double w_im_y100 ( double  y100, double  x  )

static

Definition at line 1449 of file Faddeeva.cc.

References NaN, and x.

Referenced by Faddeeva_w_im().

Variable Documentation

expa2n2

const double expa2n2[]

static

Definition at line 614 of file Faddeeva.cc.

Referenced by Faddeeva_w().