Fix lgamma_r/lgammaf_r/lgammal_r for -0.

Upstream has implemented lgammal/lgammal_r for ld128, and fixed the
sign problem we reported with all the lgamma*_r functions and -0.

Bug: 17471883
Change-Id: Ibb175d9cab67efae75f1010796fd44c9ba6ce4fc

8 files changed, 472 insertions, 102 deletions

diff --git a/libm/Android.mk b/libm/Android.mk
index 78223ca..60f4cb8 100644
--- a/libm/Android.mk
+++ b/libm/Android.mk
@@ -187,6 +187,7 @@ libm_ld_src_files = \
     upstream-freebsd/lib/msun/src/e_atanhl.c \
     upstream-freebsd/lib/msun/src/e_fmodl.c \
     upstream-freebsd/lib/msun/src/e_hypotl.c \
+    upstream-freebsd/lib/msun/src/e_lgammal.c \
     upstream-freebsd/lib/msun/src/e_remainderl.c \
     upstream-freebsd/lib/msun/src/e_sqrtl.c \
     upstream-freebsd/lib/msun/src/s_asinhl.c \
@@ -224,6 +225,7 @@ libm_ld_src_files = \
 
 libm_ld_src_files += \
     upstream-freebsd/lib/msun/ld128/invtrig.c \
+    upstream-freebsd/lib/msun/ld128/e_lgammal_r.c \
     upstream-freebsd/lib/msun/ld128/k_cosl.c \
     upstream-freebsd/lib/msun/ld128/k_sinl.c \
     upstream-freebsd/lib/msun/ld128/k_tanl.c \
diff --git a/libm/include/math.h b/libm/include/math.h
index 1fcc578..1542374 100644
--- a/libm/include/math.h
+++ b/libm/include/math.h
@@ -459,9 +459,12 @@ long double	tanhl(long double);
 long double	tanl(long double);
 long double	tgammal(long double);
 long double	truncl(long double);
-
 #endif /* __ISO_C_VISIBLE >= 1999 */
 
+#if __BSD_VISIBLE
+long double	lgammal_r(long double, int *);
+#endif
+
 #if defined(__USE_GNU)
 void sincos(double, double*, double*);
 void sincosf(float, float*, float*);
diff --git a/libm/upstream-freebsd/lib/msun/ld128/e_lgammal_r.c b/libm/upstream-freebsd/lib/msun/ld128/e_lgammal_r.c
new file mode 100644
index 0000000..13f8f75
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/ld128/e_lgammal_r.c
@@ -0,0 +1,333 @@
+/* @(#)e_lgamma_r.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/*
+ * See e_lgamma_r.c for complete comments.
+ *
+ * Converted to long double by Steven G. Kargl.
+ */
+
+#include "fpmath.h"
+#include "math.h"
+#include "math_private.h"
+
+static const volatile double vzero = 0;
+
+static const double
+zero=  0,
+half=  0.5,
+one =  1;
+
+static const long double
+pi  =  3.14159265358979323846264338327950288e+00L;
+/*
+ * Domain y in [0x1p-119, 0.28], range ~[-1.4065e-36, 1.4065e-36]:
+ * |(lgamma(2 - y) + y / 2) / y - a(y)| < 2**-119.1
+ */
+static const long double
+a0  =  7.72156649015328606065120900824024296e-02L,
+a1  =  3.22467033424113218236207583323018498e-01L,
+a2  =  6.73523010531980951332460538330282217e-02L,
+a3  =  2.05808084277845478790009252803463129e-02L,
+a4  =  7.38555102867398526627292839296001626e-03L,
+a5  =  2.89051033074152328576829509522483468e-03L,
+a6  =  1.19275391170326097618357349881842913e-03L,
+a7  =  5.09669524743042462515256340206203019e-04L,
+a8  =  2.23154758453578096143609255559576017e-04L,
+a9  =  9.94575127818397632126978731542755129e-05L,
+a10 =  4.49262367375420471287545895027098145e-05L,
+a11 =  2.05072127845117995426519671481628849e-05L,
+a12 =  9.43948816959096748454087141447939513e-06L,
+a13 =  4.37486780697359330303852050718287419e-06L,
+a14 =  2.03920783892362558276037363847651809e-06L,
+a15 =  9.55191070057967287877923073200324649e-07L,
+a16 =  4.48993286185740853170657139487620560e-07L,
+a17 =  2.13107543597620911675316728179563522e-07L,
+a18 =  9.70745379855304499867546549551023473e-08L,
+a19 =  5.61889970390290257926487734695402075e-08L,
+a20 =  6.42739653024130071866684358960960951e-09L,
+a21 =  3.34491062143649291746195612991870119e-08L,
+a22 = -1.57068547394315223934653011440641472e-08L,
+a23 =  1.30812825422415841213733487745200632e-08L;
+/*
+ * Domain x in [tc-0.24, tc+0.28], range ~[-6.3201e-37, 6.3201e-37]:
+ * |(lgamma(x) - tf) - t(x - tc)| < 2**-120.3.
+ */
+static const long double
+tc  =  1.46163214496836234126265954232572133e+00L,
+tf  = -1.21486290535849608095514557177691584e-01L,
+tt  =  1.57061739945077675484237837992951704e-36L,
+t0  = -1.99238329499314692728655623767019240e-36L,
+t1  = -6.08453430711711404116887457663281416e-35L,
+t2  =  4.83836122723810585213722380854828904e-01L,
+t3  = -1.47587722994530702030955093950668275e-01L,
+t4  =  6.46249402389127526561003464202671923e-02L,
+t5  = -3.27885410884813055008502586863748063e-02L,
+t6  =  1.79706751152103942928638276067164935e-02L,
+t7  = -1.03142230366363872751602029672767978e-02L,
+t8  =  6.10053602051788840313573150785080958e-03L,
+t9  = -3.68456960831637325470641021892968954e-03L,
+t10 =  2.25976482322181046611440855340968560e-03L,
+t11 = -1.40225144590445082933490395950664961e-03L,
+t12 =  8.78232634717681264035014878172485575e-04L,
+t13 = -5.54194952796682301220684760591403899e-04L,
+t14 =  3.51912956837848209220421213975000298e-04L,
+t15 = -2.24653443695947456542669289367055542e-04L,
+t16 =  1.44070395420840737695611929680511823e-04L,
+t17 = -9.27609865550394140067059487518862512e-05L,
+t18 =  5.99347334438437081412945428365433073e-05L,
+t19 = -3.88458388854572825603964274134801009e-05L,
+t20 =  2.52476631610328129217896436186551043e-05L,
+t21 = -1.64508584981658692556994212457518536e-05L,
+t22 =  1.07434583475987007495523340296173839e-05L,
+t23 = -7.03070407519397260929482550448878399e-06L,
+t24 =  4.60968590693753579648385629003100469e-06L,
+t25 = -3.02765473778832036018438676945512661e-06L,
+t26 =  1.99238771545503819972741288511303401e-06L,
+t27 = -1.31281299822614084861868817951788579e-06L,
+t28 =  8.60844432267399655055574642052370223e-07L,
+t29 = -5.64535486432397413273248363550536374e-07L,
+t30 =  3.99357783676275660934903139592727737e-07L,
+t31 = -2.95849029193433121795495215869311610e-07L,
+t32 =  1.37790144435073124976696250804940384e-07L;
+/*
+ * Domain y in [-0.1, 0.232], range ~[-1.4046e-37, 1.4181e-37]:
+ * |(lgamma(1 + y) + 0.5 * y) / y - u(y) / v(y)| < 2**-122.8
+ */
+static const long double
+u0  = -7.72156649015328606065120900824024311e-02L,
+u1  =  4.24082772271938167430983113242482656e-01L,
+u2  =  2.96194003481457101058321977413332171e+00L,
+u3  =  6.49503267711258043997790983071543710e+00L,
+u4  =  7.40090051288150177152835698948644483e+00L,
+u5  =  4.94698036296756044610805900340723464e+00L,
+u6  =  2.00194224610796294762469550684947768e+00L,
+u7  =  4.82073087750608895996915051568834949e-01L,
+u8  =  6.46694052280506568192333848437585427e-02L,
+u9  =  4.17685526755100259316625348933108810e-03L,
+u10 =  9.06361003550314327144119307810053410e-05L,
+v1  =  5.15937098592887275994320496999951947e+00L,
+v2  =  1.14068418766251486777604403304717558e+01L,
+v3  =  1.41164839437524744055723871839748489e+01L,
+v4  =  1.07170702656179582805791063277960532e+01L,
+v5  =  5.14448694179047879915042998453632434e+00L,
+v6  =  1.55210088094585540637493826431170289e+00L,
+v7  =  2.82975732849424562719893657416365673e-01L,
+v8  =  2.86424622754753198010525786005443539e-02L,
+v9  =  1.35364253570403771005922441442688978e-03L,
+v10 =  1.91514173702398375346658943749580666e-05L,
+v11 = -3.25364686890242327944584691466034268e-08L;
+/*
+ * Domain x in (2, 3], range ~[-1.3341e-36, 1.3536e-36]:
+ * |(lgamma(y+2) - 0.5 * y) / y - s(y)/r(y)| < 2**-120.1
+ * with y = x - 2.
+ */
+static const long double
+s0  = -7.72156649015328606065120900824024297e-02L,
+s1  =  1.23221687850916448903914170805852253e-01L,
+s2  =  5.43673188699937239808255378293820020e-01L,
+s3  =  6.31998137119005233383666791176301800e-01L,
+s4  =  3.75885340179479850993811501596213763e-01L,
+s5  =  1.31572908743275052623410195011261575e-01L,
+s6  =  2.82528453299138685507186287149699749e-02L,
+s7  =  3.70262021550340817867688714880797019e-03L,
+s8  =  2.83374000312371199625774129290973648e-04L,
+s9  =  1.15091830239148290758883505582343691e-05L,
+s10 =  2.04203474281493971326506384646692446e-07L,
+s11 =  9.79544198078992058548607407635645763e-10L,
+r1  =  2.58037466655605285937112832039537492e+00L,
+r2  =  2.86289413392776399262513849911531180e+00L,
+r3  =  1.78691044735267497452847829579514367e+00L,
+r4  =  6.89400381446725342846854215600008055e-01L,
+r5  =  1.70135865462567955867134197595365343e-01L,
+r6  =  2.68794816183964420375498986152766763e-02L,
+r7  =  2.64617234244861832870088893332006679e-03L,
+r8  =  1.52881761239180800640068128681725702e-04L,
+r9  =  4.63264813762296029824851351257638558e-06L,
+r10 =  5.89461519146957343083848967333671142e-08L,
+r11 =  1.79027678176582527798327441636552968e-10L;
+/*
+ * Domain z in [8, 0x1p70], range ~[-9.8214e-35, 9.8214e-35]:
+ * |lgamma(x) - (x - 0.5) * (log(x) - 1) - w(1/x)| < 2**-113.0
+ */
+static const long double
+w0  =  4.18938533204672741780329736405617738e-01L,
+w1  =  8.33333333333333333333333333332852026e-02L,
+w2  = -2.77777777777777777777777727810123528e-03L,
+w3  =  7.93650793650793650791708939493907380e-04L,
+w4  = -5.95238095238095234390450004444370959e-04L,
+w5  =  8.41750841750837633887817658848845695e-04L,
+w6  = -1.91752691752396849943172337347259743e-03L,
+w7  =  6.41025640880333069429106541459015557e-03L,
+w8  = -2.95506530801732133437990433080327074e-02L,
+w9  =  1.79644237328444101596766586979576927e-01L,
+w10 = -1.39240539108367641920172649259736394e+00L,
+w11 =  1.33987701479007233325288857758641761e+01L,
+w12 = -1.56363596431084279780966590116006255e+02L,
+w13 =  2.14830978044410267201172332952040777e+03L,
+w14 = -3.28636067474227378352761516589092334e+04L,
+w15 =  5.06201257747865138432663574251462485e+05L,
+w16 = -6.79720123352023636706247599728048344e+06L,
+w17 =  6.57556601705472106989497289465949255e+07L,
+w18 = -3.26229058141181783534257632389415580e+08L;
+
+static long double
+sin_pil(long double x)
+{
+	volatile long double vz;
+	long double y,z;
+	uint64_t lx, n;
+	uint16_t hx;
+
+	y = -x;
+
+	vz = y+0x1.p112;
+	z = vz-0x1.p112;
+	if (z == y)
+	    return zero;
+
+	vz = y+0x1.p110;
+	EXTRACT_LDBL128_WORDS(hx,lx,n,vz);
+	z = vz-0x1.p110;
+	if (z > y) {
+	    z -= 0.25;
+	    n--;
+	}
+	n &= 7;
+	y = y - z + n * 0.25L;
+
+	switch (n) {
+	    case 0:   y =  __kernel_sinl(pi*y,zero,0); break;
+	    case 1:
+	    case 2:   y =  __kernel_cosl(pi*(0.5-y),zero); break;
+	    case 3: 
+	    case 4:   y =  __kernel_sinl(pi*(one-y),zero,0); break;
+	    case 5:
+	    case 6:   y = -__kernel_cosl(pi*(y-1.5),zero); break;
+	    default:  y =  __kernel_sinl(pi*(y-2.0),zero,0); break;
+	    }
+	return -y;
+}
+
+
+long double
+lgammal_r(long double x, int *signgamp)
+{
+	long double nadj,p,p1,p2,p3,q,r,t,w,y,z;
+	uint64_t llx,lx;
+	int i;
+	uint16_t hx;
+
+	EXTRACT_LDBL128_WORDS(hx, lx, llx, x);
+
+	if((hx & 0x7fff) == 0x7fff) {	/* erfl(nan)=nan */
+		i = (hx>>15)<<1;
+		return (1-i)+one/x;	/* erfl(+-inf)=+-1 */
+	}
+
+    /* purge off +-inf, NaN, +-0, tiny and negative arguments */
+	*signgamp = 1;
+	if((hx & 0x7fff) == 0x7fff)	/* x is +-Inf or NaN */
+		return x*x;
+	if((hx==0||hx==0x8000)&&lx==0) {
+	    if (hx&0x8000)
+		*signgamp = -1;
+	    return one/vzero;
+	}
+
+   /* purge off tiny and negative arguments */
+	if(fabsl(x)<0x1p-119L) {
+	    if(hx&0x8000) {
+	        *signgamp = -1;
+	        return -logl(-x);
+	    } else return -logl(x);
+	}
+	if(hx&0x8000) {
+	    if(fabsl(x)>=0x1p112)
+		return one/vzero;
+	    t = sin_pil(x);
+	    if(t==zero) return one/vzero;
+	    nadj = logl(pi/fabsl(t*x));
+	    if(t<zero) *signgamp = -1;
+	    x = -x;
+	}
+
+	if(x == 1 || x ==2) r = 0;
+	else if(x<2) {
+	    if(x<=0.8999996185302734) {
+		r = -logl(x);
+		if(x>=0.7315998077392578) {y = 1-x; i= 0;}
+		else if(x>=0.2316399812698364) {y= x-(tc-1); i=1;}
+	  	else {y = x; i=2;}
+	    } else {
+	  	r = 0;
+	        if(x>=1.7316312789916992) {y=2-x;i=0;}
+	        else if(x>=1.2316322326660156) {y=x-tc;i=1;}
+		else {y=x-1;i=2;}
+	    }
+	    switch(i) {
+	      case 0:
+		z = y*y;
+		p1 = a0+z*(a2+z*(a4+z*(a6+z*(a8+z*(a10+z*(a12+z*(a14+z*(a16+
+		    z*(a18+z*(a20+z*a22))))))))));
+		p2 = z*(a1+z*(a3+z*(a5+z*(a7+z*(a9+z*(a11+z*(a13+z*(a15+
+		    z*(a17+z*(a19+z*(a21+z*a23)))))))))));
+		p  = y*p1+p2;
+		r  += (p-y/2); break;
+	      case 1:
+		p = t0+y*t1+tt+y*y*(t2+y*(t3+y*(t4+y*(t5+y*(t6+y*(t7+y*(t8+
+		    y*(t9+y*(t10+y*(t11+y*(t12+y*(t13+y*(t14+y*(t15+y*(t16+
+		    y*(t17+y*(t18+y*(t19+y*(t20+y*(t21+y*(t22+y*(t23+
+		    y*(t24+y*(t25+y*(t26+y*(t27+y*(t28+y*(t29+y*(t30+
+		    y*(t31+y*t32))))))))))))))))))))))))))))));
+		r += (tf + p); break;
+	      case 2:
+		p1 = y*(u0+y*(u1+y*(u2+y*(u3+y*(u4+y*(u5+y*(u6+y*(u7+
+		    y*(u8+y*(u9+y*u10))))))))));
+		p2 = one+y*(v1+y*(v2+y*(v3+y*(v4+y*(v5+y*(v6+y*(v7+
+		    y*(v8+y*(v9+y*(v10+y*v11))))))))));
+		r += (-y/2 + p1/p2);
+	    }
+	}
+	else if(x<8) {
+	    i = x;
+	    y = x-i;
+	    p = y*(s0+y*(s1+y*(s2+y*(s3+y*(s4+y*(s5+y*(s6+y*(s7+y*(s8+
+		y*(s9+y*(s10+y*s11)))))))))));
+	    q = one+y*(r1+y*(r2+y*(r3+y*(r4+y*(r5+y*(r6+y*(r7+y*(r8+
+		y*(r9+y*(r10+y*r11))))))))));
+	    r = y/2+p/q;
+	    z = 1;	/* lgamma(1+s) = log(s) + lgamma(s) */
+	    switch(i) {
+	    case 7: z *= (y+6);		/* FALLTHRU */
+	    case 6: z *= (y+5);		/* FALLTHRU */
+	    case 5: z *= (y+4);		/* FALLTHRU */
+	    case 4: z *= (y+3);		/* FALLTHRU */
+	    case 3: z *= (y+2);		/* FALLTHRU */
+		    r += logl(z); break;
+	    }
+	} else if (x < 0x1p119L) {
+	    t = logl(x);
+	    z = one/x;
+	    y = z*z;
+	    w = w0+z*(w1+y*(w2+y*(w3+y*(w4+y*(w5+y*(w6+y*(w7+y*(w8+
+		y*(w9+y*(w10+y*(w11+y*(w12+y*(w13+y*(w14+y*(w15+y*(w16+
+		y*(w17+y*w18)))))))))))))))));
+	    r = (x-half)*(t-one)+w;
+	} else 
+	    r =  x*(logl(x)-1);
+	if(hx&0x8000) r = nadj - r;
+	return r;
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/e_lgamma.c b/libm/upstream-freebsd/lib/msun/src/e_lgamma.c
index 4674d9b..43f5175 100644
--- a/libm/upstream-freebsd/lib/msun/src/e_lgamma.c
+++ b/libm/upstream-freebsd/lib/msun/src/e_lgamma.c
@@ -21,6 +21,8 @@ __FBSDID("$FreeBSD$");
  * Method: call __ieee754_lgamma_r
  */
 
+#include <float.h>
+
 #include "math.h"
 #include "math_private.h"
 
@@ -31,3 +33,7 @@ __ieee754_lgamma(double x)
 {
 	return __ieee754_lgamma_r(x,&signgam);
 }
+
+#if (LDBL_MANT_DIG == 53)
+__weak_reference(lgamma, lgammal);
+#endif
diff --git a/libm/upstream-freebsd/lib/msun/src/e_lgamma_r.c b/libm/upstream-freebsd/lib/msun/src/e_lgamma_r.c
index 7a95ea4..a6fd691 100644
--- a/libm/upstream-freebsd/lib/msun/src/e_lgamma_r.c
+++ b/libm/upstream-freebsd/lib/msun/src/e_lgamma_r.c
@@ -83,6 +83,8 @@ __FBSDID("$FreeBSD$");
  *	
  */
 
+#include <float.h>
+
 #include "math.h"
 #include "math_private.h"
 
@@ -212,7 +214,11 @@ __ieee754_lgamma_r(double x, int *signgamp)
 	*signgamp = 1;
 	ix = hx&0x7fffffff;
 	if(ix>=0x7ff00000) return x*x;
-	if((ix|lx)==0) return one/vzero;
+	if((ix|lx)==0) {
+	   if(hx<0)
+		*signgamp = -1;
+	    return one/vzero;
+	}
 	if(ix<0x3b900000) {	/* |x|<2**-70, return -log(|x|) */
 	    if(hx<0) {
 	        *signgamp = -1;
@@ -250,7 +256,7 @@ __ieee754_lgamma_r(double x, int *signgamp)
 		p1 = a0+z*(a2+z*(a4+z*(a6+z*(a8+z*a10))));
 		p2 = z*(a1+z*(a3+z*(a5+z*(a7+z*(a9+z*a11)))));
 		p  = y*p1+p2;
-		r  += (p-0.5*y); break;
+		r  += (p-y/2); break;
 	      case 1:
 		z = y*y;
 		w = z*y;
@@ -273,11 +279,11 @@ __ieee754_lgamma_r(double x, int *signgamp)
 	    r = half*y+p/q;
 	    z = one;	/* lgamma(1+s) = log(s) + lgamma(s) */
 	    switch(i) {
-	    case 7: z *= (y+6.0);	/* FALLTHRU */
-	    case 6: z *= (y+5.0);	/* FALLTHRU */
-	    case 5: z *= (y+4.0);	/* FALLTHRU */
-	    case 4: z *= (y+3.0);	/* FALLTHRU */
-	    case 3: z *= (y+2.0);	/* FALLTHRU */
+	    case 7: z *= (y+6);		/* FALLTHRU */
+	    case 6: z *= (y+5);		/* FALLTHRU */
+	    case 5: z *= (y+4);		/* FALLTHRU */
+	    case 4: z *= (y+3);		/* FALLTHRU */
+	    case 3: z *= (y+2);		/* FALLTHRU */
 		    r += __ieee754_log(z); break;
 	    }
     /* 8.0 <= x < 2**58 */
@@ -293,3 +299,8 @@ __ieee754_lgamma_r(double x, int *signgamp)
 	if(hx<0) r = nadj - r;
 	return r;
 }
+
+#if (LDBL_MANT_DIG == 53)
+__weak_reference(lgamma_r, lgammal_r);
+#endif
+
diff --git a/libm/upstream-freebsd/lib/msun/src/e_lgammaf_r.c b/libm/upstream-freebsd/lib/msun/src/e_lgammaf_r.c
index 9a7ab39..9d23053 100644
--- a/libm/upstream-freebsd/lib/msun/src/e_lgammaf_r.c
+++ b/libm/upstream-freebsd/lib/msun/src/e_lgammaf_r.c
@@ -1,5 +1,6 @@
 /* e_lgammaf_r.c -- float version of e_lgamma_r.c.
  * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ * Conversion to float fixed By Steven G. Kargl.
  */
 
 /*
@@ -22,72 +23,63 @@ __FBSDID("$FreeBSD$");
 static const volatile float vzero = 0;
 
 static const float
-zero=  0.0000000000e+00,
-half=  5.0000000000e-01, /* 0x3f000000 */
-one =  1.0000000000e+00, /* 0x3f800000 */
+zero=  0,
+half=  0.5,
+one =  1,
 pi  =  3.1415927410e+00, /* 0x40490fdb */
-a0  =  7.7215664089e-02, /* 0x3d9e233f */
-a1  =  3.2246702909e-01, /* 0x3ea51a66 */
-a2  =  6.7352302372e-02, /* 0x3d89f001 */
-a3  =  2.0580807701e-02, /* 0x3ca89915 */
-a4  =  7.3855509982e-03, /* 0x3bf2027e */
-a5  =  2.8905137442e-03, /* 0x3b3d6ec6 */
-a6  =  1.1927076848e-03, /* 0x3a9c54a1 */
-a7  =  5.1006977446e-04, /* 0x3a05b634 */
-a8  =  2.2086278477e-04, /* 0x39679767 */
-a9  =  1.0801156895e-04, /* 0x38e28445 */
-a10 =  2.5214456400e-05, /* 0x37d383a2 */
-a11 =  4.4864096708e-05, /* 0x383c2c75 */
-tc  =  1.4616321325e+00, /* 0x3fbb16c3 */
-tf  = -1.2148628384e-01, /* 0xbdf8cdcd */
-/* tt = -(tail of tf) */
-tt  =  6.6971006518e-09, /* 0x31e61c52 */
-t0  =  4.8383611441e-01, /* 0x3ef7b95e */
-t1  = -1.4758771658e-01, /* 0xbe17213c */
-t2  =  6.4624942839e-02, /* 0x3d845a15 */
-t3  = -3.2788541168e-02, /* 0xbd064d47 */
-t4  =  1.7970675603e-02, /* 0x3c93373d */
-t5  = -1.0314224288e-02, /* 0xbc28fcfe */
-t6  =  6.1005386524e-03, /* 0x3bc7e707 */
-t7  = -3.6845202558e-03, /* 0xbb7177fe */
-t8  =  2.2596477065e-03, /* 0x3b141699 */
-t9  = -1.4034647029e-03, /* 0xbab7f476 */
-t10 =  8.8108185446e-04, /* 0x3a66f867 */
-t11 = -5.3859531181e-04, /* 0xba0d3085 */
-t12 =  3.1563205994e-04, /* 0x39a57b6b */
-t13 = -3.1275415677e-04, /* 0xb9a3f927 */
-t14 =  3.3552918467e-04, /* 0x39afe9f7 */
-u0  = -7.7215664089e-02, /* 0xbd9e233f */
-u1  =  6.3282704353e-01, /* 0x3f2200f4 */
-u2  =  1.4549225569e+00, /* 0x3fba3ae7 */
-u3  =  9.7771751881e-01, /* 0x3f7a4bb2 */
-u4  =  2.2896373272e-01, /* 0x3e6a7578 */
-u5  =  1.3381091878e-02, /* 0x3c5b3c5e */
-v1  =  2.4559779167e+00, /* 0x401d2ebe */
-v2  =  2.1284897327e+00, /* 0x4008392d */
-v3  =  7.6928514242e-01, /* 0x3f44efdf */
-v4  =  1.0422264785e-01, /* 0x3dd572af */
-v5  =  3.2170924824e-03, /* 0x3b52d5db */
-s0  = -7.7215664089e-02, /* 0xbd9e233f */
-s1  =  2.1498242021e-01, /* 0x3e5c245a */
-s2  =  3.2577878237e-01, /* 0x3ea6cc7a */
-s3  =  1.4635047317e-01, /* 0x3e15dce6 */
-s4  =  2.6642270386e-02, /* 0x3cda40e4 */
-s5  =  1.8402845599e-03, /* 0x3af135b4 */
-s6  =  3.1947532989e-05, /* 0x3805ff67 */
-r1  =  1.3920053244e+00, /* 0x3fb22d3b */
-r2  =  7.2193557024e-01, /* 0x3f38d0c5 */
-r3  =  1.7193385959e-01, /* 0x3e300f6e */
-r4  =  1.8645919859e-02, /* 0x3c98bf54 */
-r5  =  7.7794247773e-04, /* 0x3a4beed6 */
-r6  =  7.3266842264e-06, /* 0x36f5d7bd */
-w0  =  4.1893854737e-01, /* 0x3ed67f1d */
-w1  =  8.3333335817e-02, /* 0x3daaaaab */
-w2  = -2.7777778450e-03, /* 0xbb360b61 */
-w3  =  7.9365057172e-04, /* 0x3a500cfd */
-w4  = -5.9518753551e-04, /* 0xba1c065c */
-w5  =  8.3633989561e-04, /* 0x3a5b3dd2 */
-w6  = -1.6309292987e-03; /* 0xbad5c4e8 */
+/*
+ * Domain y in [0x1p-27, 0.27], range ~[-3.4599e-10, 3.4590e-10]:
+ * |(lgamma(2 - y) + 0.5 * y) / y - a(y)| < 2**-31.4
+ */
+a0  =  7.72156641e-02, /* 0x3d9e233f */
+a1  =  3.22467119e-01, /* 0x3ea51a69 */
+a2  =  6.73484802e-02, /* 0x3d89ee00 */
+a3  =  2.06395667e-02, /* 0x3ca9144f */
+a4  =  6.98275631e-03, /* 0x3be4cf9b */
+a5  =  4.11768444e-03, /* 0x3b86eda4 */
+/*
+ * Domain x in [tc-0.24, tc+0.28], range ~[-5.6577e-10, 5.5677e-10]:
+ * |(lgamma(x) - tf) - t(x - tc)| < 2**-30.8.
+ */
+tc  =  1.46163213e+00, /* 0x3fbb16c3 */
+tf  = -1.21486291e-01, /* 0xbdf8cdce */
+t0  = -2.94064460e-11, /* 0xae0154b7 */
+t1  = -2.35939837e-08, /* 0xb2caabb8 */
+t2  =  4.83836412e-01, /* 0x3ef7b968 */
+t3  = -1.47586212e-01, /* 0xbe1720d7 */
+t4  =  6.46013096e-02, /* 0x3d844db1 */
+t5  = -3.28450352e-02, /* 0xbd068884 */
+t6  =  1.86483748e-02, /* 0x3c98c47a */
+t7  = -9.89206228e-03, /* 0xbc221251 */
+/*
+ * Domain y in [-0.1, 0.232], range ~[-8.4931e-10, 8.7794e-10]:
+ * |(lgamma(1 + y) + 0.5 * y) / y - u(y) / v(y)| < 2**-31.2
+ */
+u0  = -7.72156641e-02, /* 0xbd9e233f */
+u1  =  7.36789703e-01, /* 0x3f3c9e40 */
+u2  =  4.95649040e-01, /* 0x3efdc5b6 */
+v1  =  1.10958421e+00, /* 0x3f8e06db */
+v2  =  2.10598111e-01, /* 0x3e57a708 */
+v3  = -1.02995494e-02, /* 0xbc28bf71 */
+/*
+ * Domain x in (2, 3], range ~[-5.5189e-11, 5.2317e-11]:
+ * |(lgamma(y+2) - 0.5 * y) / y - s(y)/r(y)| < 2**-35.0
+ * with y = x - 2.
+ */
+s0 = -7.72156641e-02, /* 0xbd9e233f */
+s1 =  2.69987404e-01, /* 0x3e8a3bca */
+s2 =  1.42851010e-01, /* 0x3e124789 */
+s3 =  1.19389519e-02, /* 0x3c439b98 */
+r1 =  6.79650068e-01, /* 0x3f2dfd8c */
+r2 =  1.16058730e-01, /* 0x3dedb033 */
+r3 =  3.75673687e-03, /* 0x3b763396 */
+/*
+ * Domain z in [8, 0x1p24], range ~[-1.2640e-09, 1.2640e-09]:
+ * |lgamma(x) - (x - 0.5) * (log(x) - 1) - w(1/x)| < 2**-29.6.
+ */
+w0 =  4.18938547e-01, /* 0x3ed67f1d */
+w1 =  8.33332464e-02, /* 0x3daaaa9f */
+w2 = -2.76129087e-03; /* 0xbb34f6c6 */
 
 static float
 sin_pif(float x)
@@ -140,7 +132,11 @@ __ieee754_lgammaf_r(float x, int *signgamp)
 	*signgamp = 1;
 	ix = hx&0x7fffffff;
 	if(ix>=0x7f800000) return x*x;
-	if(ix==0) return one/vzero;
+	if(ix==0) {
+	    if(hx<0)
+		*signgamp = -1;
+	    return one/vzero;
+	}
 	if(ix<0x35000000) {	/* |x|<2**-21, return -log(|x|) */
 	    if(hx<0) {
 	        *signgamp = -1;
@@ -168,55 +164,50 @@ __ieee754_lgammaf_r(float x, int *signgamp)
 	  	else {y = x; i=2;}
 	    } else {
 	  	r = zero;
-	        if(ix>=0x3fdda618) {y=(float)2.0-x;i=0;} /* [1.7316,2] */
+	        if(ix>=0x3fdda618) {y=2-x;i=0;} /* [1.7316,2] */
 	        else if(ix>=0x3F9da620) {y=x-tc;i=1;} /* [1.23,1.73] */
 		else {y=x-one;i=2;}
 	    }
 	    switch(i) {
 	      case 0:
 		z = y*y;
-		p1 = a0+z*(a2+z*(a4+z*(a6+z*(a8+z*a10))));
-		p2 = z*(a1+z*(a3+z*(a5+z*(a7+z*(a9+z*a11)))));
+		p1 = a0+z*(a2+z*a4);
+		p2 = z*(a1+z*(a3+z*a5));
 		p  = y*p1+p2;
-		r  += (p-(float)0.5*y); break;
+		r  += (p-y/2); break;
 	      case 1:
-		z = y*y;
-		w = z*y;
-		p1 = t0+w*(t3+w*(t6+w*(t9 +w*t12)));	/* parallel comp */
-		p2 = t1+w*(t4+w*(t7+w*(t10+w*t13)));
-		p3 = t2+w*(t5+w*(t8+w*(t11+w*t14)));
-		p  = z*p1-(tt-w*(p2+y*p3));
+		p = t0+y*t1+y*y*(t2+y*(t3+y*(t4+y*(t5+y*(t6+y*t7)))));
 		r += (tf + p); break;
 	      case 2:
-		p1 = y*(u0+y*(u1+y*(u2+y*(u3+y*(u4+y*u5)))));
-		p2 = one+y*(v1+y*(v2+y*(v3+y*(v4+y*v5))));
-		r += (-(float)0.5*y + p1/p2);
+		p1 = y*(u0+y*(u1+y*u2));
+		p2 = one+y*(v1+y*(v2+y*v3));
+		r += (p1/p2-y/2);
 	    }
 	}
 	else if(ix<0x41000000) { 			/* x < 8.0 */
-	    i = (int)x;
-	    y = x-(float)i;
-	    p = y*(s0+y*(s1+y*(s2+y*(s3+y*(s4+y*(s5+y*s6))))));
-	    q = one+y*(r1+y*(r2+y*(r3+y*(r4+y*(r5+y*r6)))));
-	    r = half*y+p/q;
+	    i = x;
+	    y = x-i;
+	    p = y*(s0+y*(s1+y*(s2+y*s3)));
+	    q = one+y*(r1+y*(r2+y*r3));
+	    r = y/2+p/q;
 	    z = one;	/* lgamma(1+s) = log(s) + lgamma(s) */
 	    switch(i) {
-	    case 7: z *= (y+(float)6.0);	/* FALLTHRU */
-	    case 6: z *= (y+(float)5.0);	/* FALLTHRU */
-	    case 5: z *= (y+(float)4.0);	/* FALLTHRU */
-	    case 4: z *= (y+(float)3.0);	/* FALLTHRU */
-	    case 3: z *= (y+(float)2.0);	/* FALLTHRU */
+	    case 7: z *= (y+6);		/* FALLTHRU */
+	    case 6: z *= (y+5);		/* FALLTHRU */
+	    case 5: z *= (y+4);		/* FALLTHRU */
+	    case 4: z *= (y+3);		/* FALLTHRU */
+	    case 3: z *= (y+2);		/* FALLTHRU */
 		    r += __ieee754_logf(z); break;
 	    }
-    /* 8.0 <= x < 2**58 */
-	} else if (ix < 0x5c800000) {
+    /* 8.0 <= x < 2**24 */
+	} else if (ix < 0x4b800000) {
 	    t = __ieee754_logf(x);
 	    z = one/x;
 	    y = z*z;
-	    w = w0+z*(w1+y*(w2+y*(w3+y*(w4+y*(w5+y*w6)))));
+	    w = w0+z*(w1+y*w2);
 	    r = (x-half)*(t-one)+w;
 	} else
-    /* 2**58 <= x <= inf */
+    /* 2**24 <= x <= inf */
 	    r =  x*(__ieee754_logf(x)-one);
 	if(hx<0) r = nadj - r;
 	return r;
diff --git a/libm/upstream-freebsd/lib/msun/src/e_lgammal.c b/libm/upstream-freebsd/lib/msun/src/e_lgammal.c
new file mode 100644
index 0000000..ebc2fc7
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_lgammal.c
@@ -0,0 +1,25 @@
+/* @(#)e_lgamma.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include "math.h"
+#include "math_private.h"
+
+extern int signgam;
+
+long double
+lgammal(long double x)
+{
+	return lgammal_r(x,&signgam);
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/imprecise.c b/libm/upstream-freebsd/lib/msun/src/imprecise.c
index 92fb2d0..08cd239 100644
--- a/libm/upstream-freebsd/lib/msun/src/imprecise.c
+++ b/libm/upstream-freebsd/lib/msun/src/imprecise.c
@@ -60,5 +60,4 @@ DECLARE_WEAK(powl);
 	long double imprecise_ ## f ## l(long double v) { return f(v); }\
 	DECLARE_WEAK(f ## l)
 
-DECLARE_IMPRECISE(lgamma);
 DECLARE_IMPRECISE(tgamma);