b_tgamma.c File Reference

#include "cdefs-compat.h"
#include <openlibm_math.h>
#include "mathimpl.h"

Include dependency graph for b_tgamma.c:

Macros
#define	LEFT   -.3955078125 /* left boundary for rat. approx */
#define	x0   .461632144968362356785 /* xmin - 1 */
#define	a0_hi   0.88560319441088874992
#define	a0_lo   -.00000000000000004996427036469019695
#define	P0   6.21389571821820863029017800727e-01
#define	P1   2.65757198651533466104979197553e-01
#define	P2   5.53859446429917461063308081748e-03
#define	P3   1.38456698304096573887145282811e-03
#define	P4   2.40659950032711365819348969808e-03
#define	Q0   1.45019531250000000000000000000e+00
#define	Q1   1.06258521948016171343454061571e+00
#define	Q2   -2.07474561943859936441469926649e-01
#define	Q3   -1.46734131782005422506287573015e-01
#define	Q4   3.07878176156175520361557573779e-02
#define	Q5   5.12449347980666221336054633184e-03
#define	Q6   -1.76012741431666995019222898833e-03
#define	Q7   9.35021023573788935372153030556e-05
#define	Q8   6.13275507472443958924745652239e-06
#define	lns2pi_hi   0.418945312500000
#define	lns2pi_lo   -.000006779295327258219670263595
#define	Pa0   8.33333333333333148296162562474e-02
#define	Pa1   -2.77777777774548123579378966497e-03
#define	Pa2   7.93650778754435631476282786423e-04
#define	Pa3   -5.95235082566672847950717262222e-04
#define	Pa4   8.41428560346653702135821806252e-04
#define	Pa5   -1.89773526463879200348872089421e-03
#define	Pa6   5.69394463439411649408050664078e-03
#define	Pa7   -1.44705562421428915453880392761e-02

Functions
static double	neg_gam (double)
static double	small_gam (double)
static double	smaller_gam (double)
static struct Double	large_gam (double)
static struct Double	ratfun_gam (double, double)
OLM_DLLEXPORT double	tgamma (double x)

Variables
static const double	zero = 0.
static const double	one = 1.0
static const double	tiny = 1e-300

Macro Definition Documentation

a0_hi

#define a0_hi   0.88560319441088874992

a0_lo

#define a0_lo   -.00000000000000004996427036469019695

LEFT

#define LEFT   -.3955078125 /* left boundary for rat. approx */

lns2pi_hi

#define lns2pi_hi   0.418945312500000

lns2pi_lo

#define lns2pi_lo   -.000006779295327258219670263595

P0

#define P0   6.21389571821820863029017800727e-01

P1

#define P1   2.65757198651533466104979197553e-01

P2

#define P2   5.53859446429917461063308081748e-03

P3

#define P3   1.38456698304096573887145282811e-03

P4

#define P4   2.40659950032711365819348969808e-03

Pa0

#define Pa0   8.33333333333333148296162562474e-02

Pa1

#define Pa1   -2.77777777774548123579378966497e-03

Pa2

#define Pa2   7.93650778754435631476282786423e-04

Pa3

#define Pa3   -5.95235082566672847950717262222e-04

Pa4

#define Pa4   8.41428560346653702135821806252e-04

Pa5

#define Pa5   -1.89773526463879200348872089421e-03

Pa6

#define Pa6   5.69394463439411649408050664078e-03

Pa7

#define Pa7   -1.44705562421428915453880392761e-02

Q0

#define Q0   1.45019531250000000000000000000e+00

Q1

#define Q1   1.06258521948016171343454061571e+00

Q2

#define Q2   -2.07474561943859936441469926649e-01

Q3

#define Q3   -1.46734131782005422506287573015e-01

Q4

#define Q4   3.07878176156175520361557573779e-02

Q5

#define Q5   5.12449347980666221336054633184e-03

Q6

#define Q6   -1.76012741431666995019222898833e-03

Q7

#define Q7   9.35021023573788935372153030556e-05

Q8

#define Q8   6.13275507472443958924745652239e-06

x0

#define x0   .461632144968362356785 /* xmin - 1 */

Function Documentation

large_gam()

static struct Double large_gam ( double  x )

static

Referenced by neg_gam(), and tgamma().

neg_gam()

static double neg_gam ( double  x )

static

References __exp__D(), __log__D(), Double::a, Double::b, ceil(), cos(), large_gam(), one, sin(), tgamma(), tiny, z, and zero.

Referenced by tgamma().

ratfun_gam()

static struct Double ratfun_gam ( double  z, double  c  )

static

Referenced by small_gam(), and smaller_gam().

small_gam()

static double small_gam ( double  x )

static

References Double::a, Double::b, LEFT, one, r, ratfun_gam(), t, TRUNC, and x0.

Referenced by tgamma().

smaller_gam()

static double smaller_gam ( double  x )

static

References Double::a, Double::b, LEFT, one, r, ratfun_gam(), t, TRUNC, and x0.

Referenced by tgamma().

tgamma()

OLM_DLLEXPORT double tgamma

(

double

x

)

References __exp__D(), isfinite, isgreater, isgreaterequal, large_gam(), LEFT, neg_gam(), one, small_gam(), smaller_gam(), tiny, u, x0, and zero.

Referenced by neg_gam(), tgamma_test(), and tgammaf().

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Variable Documentation

one

const double one = 1.0

static

Referenced by neg_gam(), small_gam(), smaller_gam(), and tgamma().

tiny

const double tiny = 1e-300

static

Referenced by neg_gam(), and tgamma().

zero

const double zero = 0.

static

Referenced by _writeMemory(), neg_gam(), and tgamma().