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-rw-r--r--trunk/missing/tgamma.c92
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diff --git a/trunk/missing/tgamma.c b/trunk/missing/tgamma.c
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--- a/trunk/missing/tgamma.c
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-/* tgamma.c - public domain implementation of function tgamma(3m)
-
-reference - Haruhiko Okumura: C-gengo niyoru saishin algorithm jiten
- (New Algorithm handbook in C language) (Gijyutsu hyouron
- sha, Tokyo, 1991) [in Japanese]
- http://oku.edu.mie-u.ac.jp/~okumura/algo/
-*/
-
-/***********************************************************
- gamma.c -- Gamma function
-***********************************************************/
-#include "ruby/config.h"
-#include <math.h>
-#include <errno.h>
-
-#ifdef HAVE_LGAMMA_R
-
-double tgamma(double x)
-{
- int sign;
- double d;
- if (x == 0.0) { /* Pole Error */
- errno = ERANGE;
- return 1/x < 0 ? -HUGE_VAL : HUGE_VAL;
- }
- if (x < 0) {
- static double zero = 0.0;
- double i, f;
- f = modf(-x, &i);
- if (f == 0.0) { /* Domain Error */
- errno = EDOM;
- return zero/zero;
- }
- }
- d = lgamma_r(x, &sign);
- return sign * exp(d);
-}
-
-#else
-
-#include <errno.h>
-#define PI 3.14159265358979324 /* $\pi$ */
-#define LOG_2PI 1.83787706640934548 /* $\log 2\pi$ */
-#define N 8
-
-#define B0 1 /* Bernoulli numbers */
-#define B1 (-1.0 / 2.0)
-#define B2 ( 1.0 / 6.0)
-#define B4 (-1.0 / 30.0)
-#define B6 ( 1.0 / 42.0)
-#define B8 (-1.0 / 30.0)
-#define B10 ( 5.0 / 66.0)
-#define B12 (-691.0 / 2730.0)
-#define B14 ( 7.0 / 6.0)
-#define B16 (-3617.0 / 510.0)
-
-static double
-loggamma(double x) /* the natural logarithm of the Gamma function. */
-{
- double v, w;
-
- v = 1;
- while (x < N) { v *= x; x++; }
- w = 1 / (x * x);
- return ((((((((B16 / (16 * 15)) * w + (B14 / (14 * 13))) * w
- + (B12 / (12 * 11))) * w + (B10 / (10 * 9))) * w
- + (B8 / ( 8 * 7))) * w + (B6 / ( 6 * 5))) * w
- + (B4 / ( 4 * 3))) * w + (B2 / ( 2 * 1))) / x
- + 0.5 * LOG_2PI - log(v) - x + (x - 0.5) * log(x);
-}
-
-double tgamma(double x) /* Gamma function */
-{
- if (x == 0.0) { /* Pole Error */
- errno = ERANGE;
- return 1/x < 0 ? -HUGE_VAL : HUGE_VAL;
- }
- if (x < 0) {
- int sign;
- static double zero = 0.0;
- double i, f;
- f = modf(-x, &i);
- if (f == 0.0) { /* Domain Error */
- errno = EDOM;
- return zero/zero;
- }
- sign = (fmod(i, 2.0) != 0.0) ? 1 : -1;
- return sign * PI / (sin(PI * f) * exp(loggamma(1 - x)));
- }
- return exp(loggamma(x));
-}
-#endif