zetac.c File Reference

#include "mconf.h"
#include "lanczos.h"

Include dependency graph for zetac.c:

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Macros
#define	MAXL2   127
#define	SQRT_2_PI   0.79788456080286535587989

Functions
double	riemann_zeta (double x)
static double	zeta_reflection (double)
double	zetac (double x)
static double	zetac_positive (double)
static double	zetac_smallneg (double)

Variables
static double	A [11]
static const double	azetac []
static double	B [10]
double	MACHEP
static double	P [9]
static double	Q [8]
static double	R [6]
static double	S [5]
static double	TAYLOR0 [10]

Macro Definition Documentation

MAXL2

#define MAXL2   127

Definition at line 175 of file zetac.c.

SQRT_2_PI

#define SQRT_2_PI   0.79788456080286535587989

Definition at line 176 of file zetac.c.

Function Documentation

riemann_zeta()

double riemann_zeta

(

double

x

)

Definition at line 211 of file zetac.c.

zeta_reflection()

static double zeta_reflection ( double  x )

inlinestatic

Definition at line 311 of file zetac.c.

zetac()

double zetac

(

double

x

)

Definition at line 188 of file zetac.c.

zetac_positive()

static double zetac_positive ( double  x )

inlinestatic

Definition at line 234 of file zetac.c.

zetac_smallneg()

static double zetac_smallneg ( double  x )

inlinestatic

Definition at line 301 of file zetac.c.

Variable Documentation

A

double A[11]

static

Initial value:

= {
    8.70728567484590192539E6,
    1.76506865670346462757E8,
    2.60889506707483264896E10,
    5.29806374009894791647E11,
    2.26888156119238241487E13,
    3.31884402932705083599E14,
    5.13778997975868230192E15,
    -1.98123688133907171455E15,
    -9.92763810039983572356E16,
    7.82905376180870586444E16,
    9.26786275768927717187E16,
}

Definition at line 115 of file zetac.c.

azetac

const double azetac[]

static

Definition at line 55 of file zetac.c.

B

double B[10]

static

Initial value:

= {
    
    -7.92625410563741062861E6,
    -1.60529969932920229676E8,
    -2.37669260975543221788E10,
    -4.80319584350455169857E11,
    -2.07820961754173320170E13,
    -2.96075404507272223680E14,
    -4.86299103694609136686E15,
    5.34589509675789930199E15,
    5.71464111092297631292E16,
    -1.79915597658676556828E16,
}

Definition at line 129 of file zetac.c.

MACHEP

double MACHEP

Definition at line 54 of file const.c.

P

double P[9]

static

Initial value:

= {
    5.85746514569725319540E11,
    2.57534127756102572888E11,
    4.87781159567948256438E10,
    5.15399538023885770696E9,
    3.41646073514754094281E8,
    1.60837006880656492731E7,
    5.92785467342109522998E5,
    1.51129169964938823117E4,
    2.01822444485997955865E2,
}

Definition at line 90 of file zetac.c.

Q

double Q[8]

static

Initial value:

= {
    
    3.90497676373371157516E11,
    5.22858235368272161797E10,
    5.64451517271280543351E9,
    3.39006746015350418834E8,
    1.79410371500126453702E7,
    5.66666825131384797029E5,
    1.60382976810944131506E4,
    1.96436237223387314144E2,
}

Definition at line 102 of file zetac.c.

R

double R[6]

static

Initial value:

= {
    -3.28717474506562731748E-1,
    1.55162528742623950834E1,
    -2.48762831680821954401E2,
    1.01050368053237678329E3,
    1.26726061410235149405E4,
    -1.11578094770515181334E5,
}

Definition at line 144 of file zetac.c.

S

double S[5]

static

Initial value:

= {
    
    1.95107674914060531512E1,
    3.17710311750646984099E2,
    3.03835500874445748734E3,
    2.03665876435770579345E4,
    7.43853965136767874343E4,
}

Definition at line 153 of file zetac.c.

TAYLOR0

double TAYLOR0[10]

static

Initial value:

= {
    -1.0000000009110164892,
    -1.0000000057646759799,
    -9.9999983138417361078e-1,
    -1.0000013011460139596,
    -1.000001940896320456,
    -9.9987929950057116496e-1,
    -1.000785194477042408,
    -1.0031782279542924256,
    -9.1893853320467274178e-1,
    -1.5,
}

Definition at line 162 of file zetac.c.