1 files changed, 0 insertions, 316 deletions
diff --git a/libm/bsdsrc/b_tgamma.c b/libm/bsdsrc/b_tgamma.c
deleted file mode 100644
index ff6c5ac..0000000
--- a/libm/bsdsrc/b_tgamma.c
+++ /dev/null
@@ -1,316 +0,0 @@
-/*-
- * Copyright (c) 1992, 1993
- *	The Regents of the University of California.  All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in the
- *    documentation and/or other materials provided with the distribution.
- * 3. All advertising materials mentioning features or use of this software
- *    must display the following acknowledgement:
- *	This product includes software developed by the University of
- *	California, Berkeley and its contributors.
- * 4. Neither the name of the University nor the names of its contributors
- *    may be used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
- * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
- * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
- * ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
- * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
- * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
- * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
- * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
- * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
- * SUCH DAMAGE.
- */
-
-#ifndef lint
-static char sccsid[] = "@(#)gamma.c	8.1 (Berkeley) 6/4/93";
-#endif /* not lint */
-#include <sys/cdefs.h>
-/* __FBSDID("$FreeBSD: src/lib/msun/bsdsrc/b_tgamma.c,v 1.7 2005/09/19 11:28:19 bde Exp $"); */
-
-/*
- * This code by P. McIlroy, Oct 1992;
- *
- * The financial support of UUNET Communications Services is greatfully
- * acknowledged.
- */
-
-//#include <math.h>
-#include "../include/math.h"
-#include "mathimpl.h"
-#include <errno.h>
-
-/* METHOD:
- * x < 0: Use reflection formula, G(x) = pi/(sin(pi*x)*x*G(x))
- * 	At negative integers, return +Inf, and set errno.
- *
- * x < 6.5:
- *	Use argument reduction G(x+1) = xG(x) to reach the
- *	range [1.066124,2.066124].  Use a rational
- *	approximation centered at the minimum (x0+1) to
- *	ensure monotonicity.
- *
- * x >= 6.5: Use the asymptotic approximation (Stirling's formula)
- *	adjusted for equal-ripples:
- *
- *	log(G(x)) ~= (x-.5)*(log(x)-1) + .5(log(2*pi)-1) + 1/x*P(1/(x*x))
- *
- *	Keep extra precision in multiplying (x-.5)(log(x)-1), to
- *	avoid premature round-off.
- *
- * Special values:
- *	non-positive integer:	Set overflow trap; return +Inf;
- *	x > 171.63:		Set overflow trap; return +Inf;
- *	NaN: 			Set invalid trap;  return NaN
- *
- * Accuracy: Gamma(x) is accurate to within
- *	x > 0:  error provably < 0.9ulp.
- *	Maximum observed in 1,000,000 trials was .87ulp.
- *	x < 0:
- *	Maximum observed error < 4ulp in 1,000,000 trials.
- */
-
-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);
-
-/*
- * Rational approximation, A0 + x*x*P(x)/Q(x), on the interval
- * [1.066.., 2.066..] accurate to 4.25e-19.
- */
-#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
-/*
- * Constants for large x approximation (x in [6, Inf])
- * (Accurate to 2.8*10^-19 absolute)
- */
-#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
-
-static const double zero = 0., one = 1.0, tiny = 1e-300;
-
-double
-tgamma(x)
-	double x;
-{
-	struct Double u;
-
-	if (x >= 6) {
-		if(x > 171.63)
-			return(one/zero);
-		u = large_gam(x);
-		return(__exp__D(u.a, u.b));
-	} else if (x >= 1.0 + LEFT + x0)
-		return (small_gam(x));
-	else if (x > 1.e-17)
-		return (smaller_gam(x));
-	else if (x > -1.e-17) {
-		if (x == 0.0)
-			return (one/x);
-		one+1e-20;		/* Raise inexact flag. */
-		return (one/x);
-	} else if (!finite(x))
-		return (x*x);		/* x = NaN, -Inf */
-	else
-		return (neg_gam(x));
-}
-/*
- * Accurate to max(ulp(1/128) absolute, 2^-66 relative) error.
- */
-static struct Double
-large_gam(x)
-	double x;
-{
-	double z, p;
-	struct Double t, u, v;
-
-	z = one/(x*x);
-	p = Pa0+z*(Pa1+z*(Pa2+z*(Pa3+z*(Pa4+z*(Pa5+z*(Pa6+z*Pa7))))));
-	p = p/x;
-
-	u = __log__D(x);
-	u.a -= one;
-	v.a = (x -= .5);
-	TRUNC(v.a);
-	v.b = x - v.a;
-	t.a = v.a*u.a;			/* t = (x-.5)*(log(x)-1) */
-	t.b = v.b*u.a + x*u.b;
-	/* return t.a + t.b + lns2pi_hi + lns2pi_lo + p */
-	t.b += lns2pi_lo; t.b += p;
-	u.a = lns2pi_hi + t.b; u.a += t.a;
-	u.b = t.a - u.a;
-	u.b += lns2pi_hi; u.b += t.b;
-	return (u);
-}
-/*
- * Good to < 1 ulp.  (provably .90 ulp; .87 ulp on 1,000,000 runs.)
- * It also has correct monotonicity.
- */
-static double
-small_gam(x)
-	double x;
-{
-	double y, ym1, t;
-	struct Double yy, r;
-	y = x - one;
-	ym1 = y - one;
-	if (y <= 1.0 + (LEFT + x0)) {
-		yy = ratfun_gam(y - x0, 0);
-		return (yy.a + yy.b);
-	}
-	r.a = y;
-	TRUNC(r.a);
-	yy.a = r.a - one;
-	y = ym1;
-	yy.b = r.b = y - yy.a;
-	/* Argument reduction: G(x+1) = x*G(x) */
-	for (ym1 = y-one; ym1 > LEFT + x0; y = ym1--, yy.a--) {
-		t = r.a*yy.a;
-		r.b = r.a*yy.b + y*r.b;
-		r.a = t;
-		TRUNC(r.a);
-		r.b += (t - r.a);
-	}
-	/* Return r*tgamma(y). */
-	yy = ratfun_gam(y - x0, 0);
-	y = r.b*(yy.a + yy.b) + r.a*yy.b;
-	y += yy.a*r.a;
-	return (y);
-}
-/*
- * Good on (0, 1+x0+LEFT].  Accurate to 1ulp.
- */
-static double
-smaller_gam(x)
-	double x;
-{
-	double t, d;
-	struct Double r, xx;
-	if (x < x0 + LEFT) {
-		t = x, TRUNC(t);
-		d = (t+x)*(x-t);
-		t *= t;
-		xx.a = (t + x), TRUNC(xx.a);
-		xx.b = x - xx.a; xx.b += t; xx.b += d;
-		t = (one-x0); t += x;
-		d = (one-x0); d -= t; d += x;
-		x = xx.a + xx.b;
-	} else {
-		xx.a =  x, TRUNC(xx.a);
-		xx.b = x - xx.a;
-		t = x - x0;
-		d = (-x0 -t); d += x;
-	}
-	r = ratfun_gam(t, d);
-	d = r.a/x, TRUNC(d);
-	r.a -= d*xx.a; r.a -= d*xx.b; r.a += r.b;
-	return (d + r.a/x);
-}
-/*
- * returns (z+c)^2 * P(z)/Q(z) + a0
- */
-static struct Double
-ratfun_gam(z, c)
-	double z, c;
-{
-	double p, q;
-	struct Double r, t;
-
-	q = Q0 +z*(Q1+z*(Q2+z*(Q3+z*(Q4+z*(Q5+z*(Q6+z*(Q7+z*Q8)))))));
-	p = P0 + z*(P1 + z*(P2 + z*(P3 + z*P4)));
-
-	/* return r.a + r.b = a0 + (z+c)^2*p/q, with r.a truncated to 26 bits. */
-	p = p/q;
-	t.a = z, TRUNC(t.a);		/* t ~= z + c */
-	t.b = (z - t.a) + c;
-	t.b *= (t.a + z);
-	q = (t.a *= t.a);		/* t = (z+c)^2 */
-	TRUNC(t.a);
-	t.b += (q - t.a);
-	r.a = p, TRUNC(r.a);		/* r = P/Q */
-	r.b = p - r.a;
-	t.b = t.b*p + t.a*r.b + a0_lo;
-	t.a *= r.a;			/* t = (z+c)^2*(P/Q) */
-	r.a = t.a + a0_hi, TRUNC(r.a);
-	r.b = ((a0_hi-r.a) + t.a) + t.b;
-	return (r);			/* r = a0 + t */
-}
-
-static double
-neg_gam(x)
-	double x;
-{
-	int sgn = 1;
-	struct Double lg, lsine;
-	double y, z;
-
-	y = floor(x + .5);
-	if (y == x)		/* Negative integer. */
-		return (one/zero);
-	z = fabs(x - y);
-	y = .5*ceil(x);
-	if (y == ceil(y))
-		sgn = -1;
-	if (z < .25)
-		z = sin(M_PI*z);
-	else
-		z = cos(M_PI*(0.5-z));
-	/* Special case: G(1-x) = Inf; G(x) may be nonzero. */
-	if (x < -170) {
-		if (x < -190)
-			return ((double)sgn*tiny*tiny);
-		y = one - x;		/* exact: 128 < |x| < 255 */
-		lg = large_gam(y);
-		lsine = __log__D(M_PI/z);	/* = TRUNC(log(u)) + small */
-		lg.a -= lsine.a;		/* exact (opposite signs) */
-		lg.b -= lsine.b;
-		y = -(lg.a + lg.b);
-		z = (y + lg.a) + lg.b;
-		y = __exp__D(y, z);
-		if (sgn < 0) y = -y;
-		return (y);
-	}
-	y = one-x;
-	if (one-y == x)
-		y = tgamma(y);
-	else		/* 1-x is inexact */
-		y = -x*tgamma(-x);
-	if (sgn < 0) y = -y;
-	return (M_PI / (y*z));
-}