BSD 4.4 Lite Lib Sources

4 files changed, 1123 insertions, 0 deletions

diff --git a/lib/msun/bsdsrc/b_exp.c b/lib/msun/bsdsrc/b_exp.c
new file mode 100644
index 0000000..9b4f045
--- /dev/null
+++ b/lib/msun/bsdsrc/b_exp.c
@@ -0,0 +1,203 @@
+/*
+ * Copyright (c) 1985, 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[] = "@(#)exp.c	8.1 (Berkeley) 6/4/93";
+#endif /* not lint */
+
+/* EXP(X)
+ * RETURN THE EXPONENTIAL OF X
+ * DOUBLE PRECISION (IEEE 53 bits, VAX D FORMAT 56 BITS)
+ * CODED IN C BY K.C. NG, 1/19/85; 
+ * REVISED BY K.C. NG on 2/6/85, 2/15/85, 3/7/85, 3/24/85, 4/16/85, 6/14/86.
+ *
+ * Required system supported functions:
+ *	scalb(x,n)	
+ *	copysign(x,y)	
+ *	finite(x)
+ *
+ * Method:
+ *	1. Argument Reduction: given the input x, find r and integer k such 
+ *	   that
+ *	                   x = k*ln2 + r,  |r| <= 0.5*ln2 .  
+ *	   r will be represented as r := z+c for better accuracy.
+ *
+ *	2. Compute exp(r) by 
+ *
+ *		exp(r) = 1 + r + r*R1/(2-R1),
+ *	   where
+ *		R1 = x - x^2*(p1+x^2*(p2+x^2*(p3+x^2*(p4+p5*x^2)))).
+ *
+ *	3. exp(x) = 2^k * exp(r) .
+ *
+ * Special cases:
+ *	exp(INF) is INF, exp(NaN) is NaN;
+ *	exp(-INF)=  0;
+ *	for finite argument, only exp(0)=1 is exact.
+ *
+ * Accuracy:
+ *	exp(x) returns the exponential of x nearly rounded. In a test run
+ *	with 1,156,000 random arguments on a VAX, the maximum observed
+ *	error was 0.869 ulps (units in the last place).
+ *
+ * Constants:
+ * The hexadecimal values are the intended ones for the following constants.
+ * The decimal values may be used, provided that the compiler will convert
+ * from decimal to binary accurately enough to produce the hexadecimal values
+ * shown.
+ */
+
+#include "mathimpl.h"
+
+vc(ln2hi,  6.9314718055829871446E-1  ,7217,4031,0000,f7d0,   0, .B17217F7D00000)
+vc(ln2lo,  1.6465949582897081279E-12 ,bcd5,2ce7,d9cc,e4f1, -39, .E7BCD5E4F1D9CC)
+vc(lnhuge, 9.4961163736712506989E1   ,ec1d,43bd,9010,a73e,   7, .BDEC1DA73E9010)
+vc(lntiny,-9.5654310917272452386E1   ,4f01,c3bf,33af,d72e,   7,-.BF4F01D72E33AF)
+vc(invln2, 1.4426950408889634148E0   ,aa3b,40b8,17f1,295c,   1, .B8AA3B295C17F1)
+vc(p1,     1.6666666666666602251E-1  ,aaaa,3f2a,a9f1,aaaa,  -2, .AAAAAAAAAAA9F1)
+vc(p2,    -2.7777777777015591216E-3  ,0b60,bc36,ec94,b5f5,  -8,-.B60B60B5F5EC94)
+vc(p3,     6.6137563214379341918E-5  ,b355,398a,f15f,792e, -13, .8AB355792EF15F)
+vc(p4,    -1.6533902205465250480E-6  ,ea0e,b6dd,5f84,2e93, -19,-.DDEA0E2E935F84)
+vc(p5,     4.1381367970572387085E-8  ,bb4b,3431,2683,95f5, -24, .B1BB4B95F52683)
+
+#ifdef vccast
+#define    ln2hi    vccast(ln2hi)
+#define    ln2lo    vccast(ln2lo)
+#define   lnhuge    vccast(lnhuge)
+#define   lntiny    vccast(lntiny)
+#define   invln2    vccast(invln2)
+#define       p1    vccast(p1)
+#define       p2    vccast(p2)
+#define       p3    vccast(p3)
+#define       p4    vccast(p4)
+#define       p5    vccast(p5)
+#endif
+
+ic(p1,     1.6666666666666601904E-1,  -3,  1.555555555553E)
+ic(p2,    -2.7777777777015593384E-3,  -9, -1.6C16C16BEBD93)
+ic(p3,     6.6137563214379343612E-5, -14,  1.1566AAF25DE2C)
+ic(p4,    -1.6533902205465251539E-6, -20, -1.BBD41C5D26BF1)
+ic(p5,     4.1381367970572384604E-8, -25,  1.6376972BEA4D0)
+ic(ln2hi,  6.9314718036912381649E-1,  -1,  1.62E42FEE00000)
+ic(ln2lo,  1.9082149292705877000E-10,-33,  1.A39EF35793C76)
+ic(lnhuge, 7.1602103751842355450E2,    9,  1.6602B15B7ECF2)
+ic(lntiny,-7.5137154372698068983E2,    9, -1.77AF8EBEAE354)
+ic(invln2, 1.4426950408889633870E0,    0,  1.71547652B82FE)
+
+double exp(x)
+double x;
+{
+	double  z,hi,lo,c;
+	int k;
+
+#if !defined(vax)&&!defined(tahoe)
+	if(x!=x) return(x);	/* x is NaN */
+#endif	/* !defined(vax)&&!defined(tahoe) */
+	if( x <= lnhuge ) {
+		if( x >= lntiny ) {
+
+		    /* argument reduction : x --> x - k*ln2 */
+
+			k=invln2*x+copysign(0.5,x);	/* k=NINT(x/ln2) */
+
+		    /* express x-k*ln2 as hi-lo and let x=hi-lo rounded */
+
+			hi=x-k*ln2hi;
+			x=hi-(lo=k*ln2lo);
+
+		    /* return 2^k*[1+x+x*c/(2+c)]  */
+			z=x*x;
+			c= x - z*(p1+z*(p2+z*(p3+z*(p4+z*p5))));
+			return  scalb(1.0+(hi-(lo-(x*c)/(2.0-c))),k);
+
+		}
+		/* end of x > lntiny */
+
+		else 
+		     /* exp(-big#) underflows to zero */
+		     if(finite(x))  return(scalb(1.0,-5000));
+
+		     /* exp(-INF) is zero */
+		     else return(0.0);
+	}
+	/* end of x < lnhuge */
+
+	else 
+	/* exp(INF) is INF, exp(+big#) overflows to INF */
+	    return( finite(x) ?  scalb(1.0,5000)  : x);
+}
+
+/* returns exp(r = x + c) for |c| < |x| with no overlap.  */
+
+double __exp__D(x, c)
+double x, c;
+{
+	double  z,hi,lo, t;
+	int k;
+
+#if !defined(vax)&&!defined(tahoe)
+	if (x!=x) return(x);	/* x is NaN */
+#endif	/* !defined(vax)&&!defined(tahoe) */
+	if ( x <= lnhuge ) {
+		if ( x >= lntiny ) {
+
+		    /* argument reduction : x --> x - k*ln2 */
+			z = invln2*x;
+			k = z + copysign(.5, x);
+
+		    /* express (x+c)-k*ln2 as hi-lo and let x=hi-lo rounded */
+
+			hi=(x-k*ln2hi);			/* Exact. */
+			x= hi - (lo = k*ln2lo-c);
+		    /* return 2^k*[1+x+x*c/(2+c)]  */
+			z=x*x;
+			c= x - z*(p1+z*(p2+z*(p3+z*(p4+z*p5))));
+			c = (x*c)/(2.0-c);
+
+			return  scalb(1.+(hi-(lo - c)), k);
+		}
+		/* end of x > lntiny */
+
+		else 
+		     /* exp(-big#) underflows to zero */
+		     if(finite(x))  return(scalb(1.0,-5000));
+
+		     /* exp(-INF) is zero */
+		     else return(0.0);
+	}
+	/* end of x < lnhuge */
+
+	else 
+	/* exp(INF) is INF, exp(+big#) overflows to INF */
+	    return( finite(x) ?  scalb(1.0,5000)  : x);
+}
diff --git a/lib/msun/bsdsrc/b_log.c b/lib/msun/bsdsrc/b_log.c
new file mode 100644
index 0000000..ae18672
--- /dev/null
+++ b/lib/msun/bsdsrc/b_log.c
@@ -0,0 +1,486 @@
+/*
+ * 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[] = "@(#)log.c	8.2 (Berkeley) 11/30/93";
+#endif /* not lint */
+
+#include <math.h>
+#include <errno.h>
+
+#include "mathimpl.h"
+
+/* Table-driven natural logarithm.
+ *
+ * This code was derived, with minor modifications, from:
+ *	Peter Tang, "Table-Driven Implementation of the
+ *	Logarithm in IEEE Floating-Point arithmetic." ACM Trans.
+ *	Math Software, vol 16. no 4, pp 378-400, Dec 1990).
+ *
+ * Calculates log(2^m*F*(1+f/F)), |f/j| <= 1/256,
+ * where F = j/128 for j an integer in [0, 128].
+ *
+ * log(2^m) = log2_hi*m + log2_tail*m
+ * since m is an integer, the dominant term is exact.
+ * m has at most 10 digits (for subnormal numbers),
+ * and log2_hi has 11 trailing zero bits.
+ *
+ * log(F) = logF_hi[j] + logF_lo[j] is in tabular form in log_table.h
+ * logF_hi[] + 512 is exact.
+ *
+ * log(1+f/F) = 2*f/(2*F + f) + 1/12 * (2*f/(2*F + f))**3 + ...
+ * the leading term is calculated to extra precision in two
+ * parts, the larger of which adds exactly to the dominant
+ * m and F terms.
+ * There are two cases:
+ *	1. when m, j are non-zero (m | j), use absolute
+ *	   precision for the leading term.
+ *	2. when m = j = 0, |1-x| < 1/256, and log(x) ~= (x-1).
+ *	   In this case, use a relative precision of 24 bits.
+ * (This is done differently in the original paper)
+ *
+ * Special cases:
+ *	0	return signalling -Inf
+ *	neg	return signalling NaN
+ *	+Inf	return +Inf
+*/
+
+#if defined(vax) || defined(tahoe)
+#define _IEEE		0
+#define TRUNC(x)	x = (double) (float) (x)
+#else
+#define _IEEE		1
+#define endian		(((*(int *) &one)) ? 1 : 0)
+#define TRUNC(x)	*(((int *) &x) + endian) &= 0xf8000000
+#define infnan(x)	0.0
+#endif
+
+#define N 128
+
+/* Table of log(Fj) = logF_head[j] + logF_tail[j], for Fj = 1+j/128.
+ * Used for generation of extend precision logarithms.
+ * The constant 35184372088832 is 2^45, so the divide is exact.
+ * It ensures correct reading of logF_head, even for inaccurate
+ * decimal-to-binary conversion routines.  (Everybody gets the
+ * right answer for integers less than 2^53.)
+ * Values for log(F) were generated using error < 10^-57 absolute
+ * with the bc -l package.
+*/
+static double	A1 = 	  .08333333333333178827;
+static double	A2 = 	  .01250000000377174923;
+static double	A3 =	 .002232139987919447809;
+static double	A4 =	.0004348877777076145742;
+
+static double logF_head[N+1] = {
+	0.,
+	.007782140442060381246,
+	.015504186535963526694,
+	.023167059281547608406,
+	.030771658666765233647,
+	.038318864302141264488,
+	.045809536031242714670,
+	.053244514518837604555,
+	.060624621816486978786,
+	.067950661908525944454,
+	.075223421237524235039,
+	.082443669210988446138,
+	.089612158689760690322,
+	.096729626458454731618,
+	.103796793681567578460,
+	.110814366340264314203,
+	.117783035656430001836,
+	.124703478501032805070,
+	.131576357788617315236,
+	.138402322859292326029,
+	.145182009844575077295,
+	.151916042025732167530,
+	.158605030176659056451,
+	.165249572895390883786,
+	.171850256926518341060,
+	.178407657472689606947,
+	.184922338493834104156,
+	.191394852999565046047,
+	.197825743329758552135,
+	.204215541428766300668,
+	.210564769107350002741,
+	.216873938300523150246,
+	.223143551314024080056,
+	.229374101064877322642,
+	.235566071312860003672,
+	.241719936886966024758,
+	.247836163904594286577,
+	.253915209980732470285,
+	.259957524436686071567,
+	.265963548496984003577,
+	.271933715484010463114,
+	.277868451003087102435,
+	.283768173130738432519,
+	.289633292582948342896,
+	.295464212893421063199,
+	.301261330578199704177,
+	.307025035294827830512,
+	.312755710004239517729,
+	.318453731118097493890,
+	.324119468654316733591,
+	.329753286372579168528,
+	.335355541920762334484,
+	.340926586970454081892,
+	.346466767346100823488,
+	.351976423156884266063,
+	.357455888922231679316,
+	.362905493689140712376,
+	.368325561158599157352,
+	.373716409793814818840,
+	.379078352934811846353,
+	.384411698910298582632,
+	.389716751140440464951,
+	.394993808240542421117,
+	.400243164127459749579,
+	.405465108107819105498,
+	.410659924985338875558,
+	.415827895143593195825,
+	.420969294644237379543,
+	.426084395310681429691,
+	.431173464818130014464,
+	.436236766774527495726,
+	.441274560805140936281,
+	.446287102628048160113,
+	.451274644139630254358,
+	.456237433481874177232,
+	.461175715122408291790,
+	.466089729924533457960,
+	.470979715219073113985,
+	.475845904869856894947,
+	.480688529345570714212,
+	.485507815781602403149,
+	.490303988045525329653,
+	.495077266798034543171,
+	.499827869556611403822,
+	.504556010751912253908,
+	.509261901790523552335,
+	.513945751101346104405,
+	.518607764208354637958,
+	.523248143765158602036,
+	.527867089620485785417,
+	.532464798869114019908,
+	.537041465897345915436,
+	.541597282432121573947,
+	.546132437597407260909,
+	.550647117952394182793,
+	.555141507540611200965,
+	.559615787935399566777,
+	.564070138285387656651,
+	.568504735352689749561,
+	.572919753562018740922,
+	.577315365035246941260,
+	.581691739635061821900,
+	.586049045003164792433,
+	.590387446602107957005,
+	.594707107746216934174,
+	.599008189645246602594,
+	.603290851438941899687,
+	.607555250224322662688,
+	.611801541106615331955,
+	.616029877215623855590,
+	.620240409751204424537,
+	.624433288012369303032,
+	.628608659422752680256,
+	.632766669570628437213,
+	.636907462236194987781,
+	.641031179420679109171,
+	.645137961373620782978,
+	.649227946625615004450,
+	.653301272011958644725,
+	.657358072709030238911,
+	.661398482245203922502,
+	.665422632544505177065,
+	.669430653942981734871,
+	.673422675212350441142,
+	.677398823590920073911,
+	.681359224807238206267,
+	.685304003098281100392,
+	.689233281238557538017,
+	.693147180560117703862
+};
+
+static double logF_tail[N+1] = {
+	0.,
+	-.00000000000000543229938420049,
+	 .00000000000000172745674997061,
+	-.00000000000001323017818229233,
+	-.00000000000001154527628289872,
+	-.00000000000000466529469958300,
+	 .00000000000005148849572685810,
+	-.00000000000002532168943117445,
+	-.00000000000005213620639136504,
+	-.00000000000001819506003016881,
+	 .00000000000006329065958724544,
+	 .00000000000008614512936087814,
+	-.00000000000007355770219435028,
+	 .00000000000009638067658552277,
+	 .00000000000007598636597194141,
+	 .00000000000002579999128306990,
+	-.00000000000004654729747598444,
+	-.00000000000007556920687451336,
+	 .00000000000010195735223708472,
+	-.00000000000017319034406422306,
+	-.00000000000007718001336828098,
+	 .00000000000010980754099855238,
+	-.00000000000002047235780046195,
+	-.00000000000008372091099235912,
+	 .00000000000014088127937111135,
+	 .00000000000012869017157588257,
+	 .00000000000017788850778198106,
+	 .00000000000006440856150696891,
+	 .00000000000016132822667240822,
+	-.00000000000007540916511956188,
+	-.00000000000000036507188831790,
+	 .00000000000009120937249914984,
+	 .00000000000018567570959796010,
+	-.00000000000003149265065191483,
+	-.00000000000009309459495196889,
+	 .00000000000017914338601329117,
+	-.00000000000001302979717330866,
+	 .00000000000023097385217586939,
+	 .00000000000023999540484211737,
+	 .00000000000015393776174455408,
+	-.00000000000036870428315837678,
+	 .00000000000036920375082080089,
+	-.00000000000009383417223663699,
+	 .00000000000009433398189512690,
+	 .00000000000041481318704258568,
+	-.00000000000003792316480209314,
+	 .00000000000008403156304792424,
+	-.00000000000034262934348285429,
+	 .00000000000043712191957429145,
+	-.00000000000010475750058776541,
+	-.00000000000011118671389559323,
+	 .00000000000037549577257259853,
+	 .00000000000013912841212197565,
+	 .00000000000010775743037572640,
+	 .00000000000029391859187648000,
+	-.00000000000042790509060060774,
+	 .00000000000022774076114039555,
+	 .00000000000010849569622967912,
+	-.00000000000023073801945705758,
+	 .00000000000015761203773969435,
+	 .00000000000003345710269544082,
+	-.00000000000041525158063436123,
+	 .00000000000032655698896907146,
+	-.00000000000044704265010452446,
+	 .00000000000034527647952039772,
+	-.00000000000007048962392109746,
+	 .00000000000011776978751369214,
+	-.00000000000010774341461609578,
+	 .00000000000021863343293215910,
+	 .00000000000024132639491333131,
+	 .00000000000039057462209830700,
+	-.00000000000026570679203560751,
+	 .00000000000037135141919592021,
+	-.00000000000017166921336082431,
+	-.00000000000028658285157914353,
+	-.00000000000023812542263446809,
+	 .00000000000006576659768580062,
+	-.00000000000028210143846181267,
+	 .00000000000010701931762114254,
+	 .00000000000018119346366441110,
+	 .00000000000009840465278232627,
+	-.00000000000033149150282752542,
+	-.00000000000018302857356041668,
+	-.00000000000016207400156744949,
+	 .00000000000048303314949553201,
+	-.00000000000071560553172382115,
+	 .00000000000088821239518571855,
+	-.00000000000030900580513238244,
+	-.00000000000061076551972851496,
+	 .00000000000035659969663347830,
+	 .00000000000035782396591276383,
+	-.00000000000046226087001544578,
+	 .00000000000062279762917225156,
+	 .00000000000072838947272065741,
+	 .00000000000026809646615211673,
+	-.00000000000010960825046059278,
+	 .00000000000002311949383800537,
+	-.00000000000058469058005299247,
+	-.00000000000002103748251144494,
+	-.00000000000023323182945587408,
+	-.00000000000042333694288141916,
+	-.00000000000043933937969737844,
+	 .00000000000041341647073835565,
+	 .00000000000006841763641591466,
+	 .00000000000047585534004430641,
+	 .00000000000083679678674757695,
+	-.00000000000085763734646658640,
+	 .00000000000021913281229340092,
+	-.00000000000062242842536431148,
+	-.00000000000010983594325438430,
+	 .00000000000065310431377633651,
+	-.00000000000047580199021710769,
+	-.00000000000037854251265457040,
+	 .00000000000040939233218678664,
+	 .00000000000087424383914858291,
+	 .00000000000025218188456842882,
+	-.00000000000003608131360422557,
+	-.00000000000050518555924280902,
+	 .00000000000078699403323355317,
+	-.00000000000067020876961949060,
+	 .00000000000016108575753932458,
+	 .00000000000058527188436251509,
+	-.00000000000035246757297904791,
+	-.00000000000018372084495629058,
+	 .00000000000088606689813494916,
+	 .00000000000066486268071468700,
+	 .00000000000063831615170646519,
+	 .00000000000025144230728376072,
+	-.00000000000017239444525614834
+};
+
+double
+#ifdef _ANSI_SOURCE
+log(double x)
+#else
+log(x) double x;
+#endif
+{
+	int m, j;
+	double F, f, g, q, u, u2, v, zero = 0.0, one = 1.0;
+	volatile double u1;
+
+	/* Catch special cases */
+	if (x <= 0)
+		if (_IEEE && x == zero)	/* log(0) = -Inf */
+			return (-one/zero);
+		else if (_IEEE)		/* log(neg) = NaN */
+			return (zero/zero);
+		else if (x == zero)	/* NOT REACHED IF _IEEE */
+			return (infnan(-ERANGE));
+		else
+			return (infnan(EDOM));
+	else if (!finite(x))
+		if (_IEEE)		/* x = NaN, Inf */
+			return (x+x);
+		else
+			return (infnan(ERANGE));
+	
+	/* Argument reduction: 1 <= g < 2; x/2^m = g;	*/
+	/* y = F*(1 + f/F) for |f| <= 2^-8		*/
+
+	m = logb(x);
+	g = ldexp(x, -m);
+	if (_IEEE && m == -1022) {
+		j = logb(g), m += j;
+		g = ldexp(g, -j);
+	}
+	j = N*(g-1) + .5;
+	F = (1.0/N) * j + 1;	/* F*128 is an integer in [128, 512] */
+	f = g - F;
+
+	/* Approximate expansion for log(1+f/F) ~= u + q */
+	g = 1/(2*F+f);
+	u = 2*f*g;
+	v = u*u;
+	q = u*v*(A1 + v*(A2 + v*(A3 + v*A4)));
+
+    /* case 1: u1 = u rounded to 2^-43 absolute.  Since u < 2^-8,
+     * 	       u1 has at most 35 bits, and F*u1 is exact, as F has < 8 bits.
+     *         It also adds exactly to |m*log2_hi + log_F_head[j] | < 750
+    */
+	if (m | j)
+		u1 = u + 513, u1 -= 513;
+
+    /* case 2:	|1-x| < 1/256. The m- and j- dependent terms are zero;
+     * 		u1 = u to 24 bits.
+    */
+	else
+		u1 = u, TRUNC(u1);
+	u2 = (2.0*(f - F*u1) - u1*f) * g;
+			/* u1 + u2 = 2f/(2F+f) to extra precision.	*/
+
+	/* log(x) = log(2^m*F*(1+f/F)) =				*/
+	/* (m*log2_hi+logF_head[j]+u1) + (m*log2_lo+logF_tail[j]+q);	*/
+	/* (exact) + (tiny)						*/
+
+	u1 += m*logF_head[N] + logF_head[j];		/* exact */
+	u2 = (u2 + logF_tail[j]) + q;			/* tiny */
+	u2 += logF_tail[N]*m;
+	return (u1 + u2);
+}
+
+/*
+ * Extra precision variant, returning struct {double a, b;};
+ * log(x) = a+b to 63 bits, with a is rounded to 26 bits.
+ */
+struct Double
+#ifdef _ANSI_SOURCE
+__log__D(double x)
+#else
+__log__D(x) double x;
+#endif
+{
+	int m, j;
+	double F, f, g, q, u, v, u2, one = 1.0;
+	volatile double u1;
+	struct Double r;
+
+	/* Argument reduction: 1 <= g < 2; x/2^m = g;	*/
+	/* y = F*(1 + f/F) for |f| <= 2^-8		*/
+
+	m = logb(x);
+	g = ldexp(x, -m);
+	if (_IEEE && m == -1022) {
+		j = logb(g), m += j;
+		g = ldexp(g, -j);
+	}
+	j = N*(g-1) + .5;
+	F = (1.0/N) * j + 1;
+	f = g - F;
+
+	g = 1/(2*F+f);
+	u = 2*f*g;
+	v = u*u;
+	q = u*v*(A1 + v*(A2 + v*(A3 + v*A4)));
+	if (m | j)
+		u1 = u + 513, u1 -= 513;
+	else
+		u1 = u, TRUNC(u1);
+	u2 = (2.0*(f - F*u1) - u1*f) * g;
+
+	u1 += m*logF_head[N] + logF_head[j];
+
+	u2 +=  logF_tail[j]; u2 += q;
+	u2 += logF_tail[N]*m;
+	r.a = u1 + u2;			/* Only difference is here */
+	TRUNC(r.a);
+	r.b = (u1 - r.a) + u2;
+	return (r);
+}
diff --git a/lib/msun/bsdsrc/b_tgamma.c b/lib/msun/bsdsrc/b_tgamma.c
new file mode 100644
index 0000000..5d270f0
--- /dev/null
+++ b/lib/msun/bsdsrc/b_tgamma.c
@@ -0,0 +1,336 @@
+/*-
+ * 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 */
+
+/*
+ * This code by P. McIlroy, Oct 1992;
+ *
+ * The financial support of UUNET Communications Services is greatfully
+ * acknowledged.
+ */
+
+#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 __P((double));
+static double small_gam __P((double));
+static double smaller_gam __P((double));
+static struct Double large_gam __P((double));
+static struct Double ratfun_gam __P((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;
+static int endian;
+/*
+ * TRUNC sets trailing bits in a floating-point number to zero.
+ * is a temporary variable.
+ */
+#if defined(vax) || defined(tahoe)
+#define _IEEE		0
+#define TRUNC(x)	x = (double) (float) (x)
+#else
+#define _IEEE		1
+#define TRUNC(x)	*(((int *) &x) + endian) &= 0xf8000000
+#define infnan(x)	0.0
+#endif
+
+double
+gamma(x)
+	double x;
+{
+	struct Double u;
+	endian = (*(int *) &one) ? 1 : 0;
+
+	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)
+			if (!_IEEE) return (infnan(ERANGE));
+			else return (one/x);
+		one+1e-20;		/* Raise inexact flag. */
+		return (one/x);
+	} else if (!finite(x)) {
+		if (_IEEE)		/* x = NaN, -Inf */
+			return (x*x);
+		else
+			return (infnan(EDOM));
+	 } 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;
+	int i;
+	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, x1;
+	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*gamma(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;
+{
+	int i;
+	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. */
+		if(!_IEEE)
+			return (infnan(ERANGE));
+		else
+			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 = gamma(y);
+	else		/* 1-x is inexact */
+		y = -x*gamma(-x);
+	if (sgn < 0) y = -y;
+	return (M_PI / (y*z));
+}
diff --git a/lib/msun/bsdsrc/mathimpl.h b/lib/msun/bsdsrc/mathimpl.h
new file mode 100644
index 0000000..6a2a37d
--- /dev/null
+++ b/lib/msun/bsdsrc/mathimpl.h
@@ -0,0 +1,98 @@
+/*
+ * Copyright (c) 1988, 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.
+ *
+ *	@(#)mathimpl.h	8.1 (Berkeley) 6/4/93
+ */
+
+#include <sys/cdefs.h>
+#include <math.h>
+
+#if defined(vax)||defined(tahoe)
+
+/* Deal with different ways to concatenate in cpp */
+#  ifdef __STDC__
+#    define	cat3(a,b,c) a ## b ## c
+#  else
+#    define	cat3(a,b,c) a/**/b/**/c
+#  endif
+
+/* Deal with vax/tahoe byte order issues */
+#  ifdef vax
+#    define	cat3t(a,b,c) cat3(a,b,c)
+#  else
+#    define	cat3t(a,b,c) cat3(a,c,b)
+#  endif
+
+#  define vccast(name) (*(const double *)(cat3(name,,x)))
+
+   /*
+    * Define a constant to high precision on a Vax or Tahoe.
+    *
+    * Args are the name to define, the decimal floating point value,
+    * four 16-bit chunks of the float value in hex
+    * (because the vax and tahoe differ in float format!), the power
+    * of 2 of the hex-float exponent, and the hex-float mantissa.
+    * Most of these arguments are not used at compile time; they are
+    * used in a post-check to make sure the constants were compiled
+    * correctly.
+    *
+    * People who want to use the constant will have to do their own
+    *     #define foo vccast(foo)
+    * since CPP cannot do this for them from inside another macro (sigh).
+    * We define "vccast" if this needs doing.
+    */
+#  define vc(name, value, x1,x2,x3,x4, bexp, xval) \
+	const static long cat3(name,,x)[] = {cat3t(0x,x1,x2), cat3t(0x,x3,x4)};
+
+#  define ic(name, value, bexp, xval) ;
+
+#else	/* vax or tahoe */
+
+   /* Hooray, we have an IEEE machine */
+#  undef vccast
+#  define vc(name, value, x1,x2,x3,x4, bexp, xval) ;
+
+#  define ic(name, value, bexp, xval) \
+	const static double name = value;
+
+#endif	/* defined(vax)||defined(tahoe) */
+
+
+/*
+ * Functions internal to the math package, yet not static.
+ */
+extern double	__exp__E();
+extern double	__log__L();
+
+struct Double {double a, b;};
+double __exp__D __P((double, double));
+struct Double __log__D __P((double));