32  * Domain y in [0x1p-119, 0.28], range ~[-1.4065e-36, 1.4065e-36]:
33  * |(lgamma(2 - y) + y / 2) / y - a(y)| < 2**-119.1
36 a0  =  7.72156649015328606065120900824024296e-02L,
37 a1  =  3.22467033424113218236207583323018498e-01L,
38 a2  =  6.73523010531980951332460538330282217e-02L,
39 a3  =  2.05808084277845478790009252803463129e-02L,
40 a4  =  7.38555102867398526627292839296001626e-03L,
41 a5  =  2.89051033074152328576829509522483468e-03L,
42 a6  =  1.19275391170326097618357349881842913e-03L,
43 a7  =  5.09669524743042462515256340206203019e-04L,
44 a8  =  2.23154758453578096143609255559576017e-04L,
45 a9  =  9.94575127818397632126978731542755129e-05L,
46 a10 =  4.49262367375420471287545895027098145e-05L,
47 a11 =  2.05072127845117995426519671481628849e-05L,
48 a12 =  9.43948816959096748454087141447939513e-06L,
49 a13 =  4.37486780697359330303852050718287419e-06L,
50 a14 =  2.03920783892362558276037363847651809e-06L,
51 a15 =  9.55191070057967287877923073200324649e-07L,
52 a16 =  4.48993286185740853170657139487620560e-07L,
53 a17 =  2.13107543597620911675316728179563522e-07L,
54 a18 =  9.70745379855304499867546549551023473e-08L,
55 a19 =  5.61889970390290257926487734695402075e-08L,
56 a20 =  6.42739653024130071866684358960960951e-09L,
57 a21 =  3.34491062143649291746195612991870119e-08L,
58 a22 = -1.57068547394315223934653011440641472e-08L,
59 a23 =  1.30812825422415841213733487745200632e-08L;
61  * Domain x in [tc-0.24, tc+0.28], range ~[-6.3201e-37, 6.3201e-37]:
62  * |(lgamma(x) - tf) - t(x - tc)| < 2**-120.3.
66 tf  = -1.21486290535849608095514557177691584e-01L,
67 tt  =  1.57061739945077675484237837992951704e-36L,
68 t0  = -1.99238329499314692728655623767019240e-36L,
69 t1  = -6.08453430711711404116887457663281416e-35L,
70 t2  =  4.83836122723810585213722380854828904e-01L,
71 t3  = -1.47587722994530702030955093950668275e-01L,
72 t4  =  6.46249402389127526561003464202671923e-02L,
73 t5  = -3.27885410884813055008502586863748063e-02L,
74 t6  =  1.79706751152103942928638276067164935e-02L,
75 t7  = -1.03142230366363872751602029672767978e-02L,
76 t8  =  6.10053602051788840313573150785080958e-03L,
77 t9  = -3.68456960831637325470641021892968954e-03L,
78 t10 =  2.25976482322181046611440855340968560e-03L,
79 t11 = -1.40225144590445082933490395950664961e-03L,
80 t12 =  8.78232634717681264035014878172485575e-04L,
81 t13 = -5.54194952796682301220684760591403899e-04L,
82 t14 =  3.51912956837848209220421213975000298e-04L,
83 t15 = -2.24653443695947456542669289367055542e-04L,
84 t16 =  1.44070395420840737695611929680511823e-04L,
85 t17 = -9.27609865550394140067059487518862512e-05L,
86 t18 =  5.99347334438437081412945428365433073e-05L,
87 t19 = -3.88458388854572825603964274134801009e-05L,
88 t20 =  2.52476631610328129217896436186551043e-05L,
89 t21 = -1.64508584981658692556994212457518536e-05L,
90 t22 =  1.07434583475987007495523340296173839e-05L,
91 t23 = -7.03070407519397260929482550448878399e-06L,
92 t24 =  4.60968590693753579648385629003100469e-06L,
93 t25 = -3.02765473778832036018438676945512661e-06L,
94 t26 =  1.99238771545503819972741288511303401e-06L,
95 t27 = -1.31281299822614084861868817951788579e-06L,
96 t28 =  8.60844432267399655055574642052370223e-07L,
97 t29 = -5.64535486432397413273248363550536374e-07L,
98 t30 =  3.99357783676275660934903139592727737e-07L,
99 t31 = -2.95849029193433121795495215869311610e-07L,
100 t32 =  1.37790144435073124976696250804940384e-07L;
102  * Domain y in [-0.1, 0.232], range ~[-1.4046e-37, 1.4181e-37]:
103  * |(lgamma(1 + y) + 0.5 * y) / y - u(y) / v(y)| < 2**-122.8
106 u0  = -7.72156649015328606065120900824024311e-02L,
107 u1  =  4.24082772271938167430983113242482656e-01L,
113 u7  =  4.82073087750608895996915051568834949e-01L,
114 u8  =  6.46694052280506568192333848437585427e-02L,
115 u9  =  4.17685526755100259316625348933108810e-03L,
116 u10 =  9.06361003550314327144119307810053410e-05L,
123 v7  =  2.82975732849424562719893657416365673e-01L,
124 v8  =  2.86424622754753198010525786005443539e-02L,
125 v9  =  1.35364253570403771005922441442688978e-03L,
126 v10 =  1.91514173702398375346658943749580666e-05L,
127 v11 = -3.25364686890242327944584691466034268e-08L;
129  * Domain x in (2, 3], range ~[-1.3341e-36, 1.3536e-36]:
130  * |(lgamma(y+2) - 0.5 * y) / y - s(y)/r(y)| < 2**-120.1
131  * with y = x - 2.
134 s0  = -7.72156649015328606065120900824024297e-02L,
135 s1  =  1.23221687850916448903914170805852253e-01L,
136 s2  =  5.43673188699937239808255378293820020e-01L,
137 s3  =  6.31998137119005233383666791176301800e-01L,
138 s4  =  3.75885340179479850993811501596213763e-01L,
139 s5  =  1.31572908743275052623410195011261575e-01L,
140 s6  =  2.82528453299138685507186287149699749e-02L,
141 s7  =  3.70262021550340817867688714880797019e-03L,
142 s8  =  2.83374000312371199625774129290973648e-04L,
143 s9  =  1.15091830239148290758883505582343691e-05L,
144 s10 =  2.04203474281493971326506384646692446e-07L,
145 s11 =  9.79544198078992058548607407635645763e-10L,
149 r4  =  6.89400381446725342846854215600008055e-01L,
150 r5  =  1.70135865462567955867134197595365343e-01L,
151 r6  =  2.68794816183964420375498986152766763e-02L,
152 r7  =  2.64617234244861832870088893332006679e-03L,
153 r8  =  1.52881761239180800640068128681725702e-04L,
154 r9  =  4.63264813762296029824851351257638558e-06L,
155 r10 =  5.89461519146957343083848967333671142e-08L,
156 r11 =  1.79027678176582527798327441636552968e-10L;
158  * Domain z in [8, 0x1p70], range ~[-9.8214e-35, 9.8214e-35]:
159  * |lgamma(x) - (x - 0.5) * (log(x) - 1) - w(1/x)| < 2**-113.0
162 w0  =  4.18938533204672741780329736405617738e-01L,
163 w1  =  8.33333333333333333333333333332852026e-02L,
164 w2  = -2.77777777777777777777777727810123528e-03L,
165 w3  =  7.93650793650793650791708939493907380e-04L,
166 w4  = -5.95238095238095234390450004444370959e-04L,
167 w5  =  8.41750841750837633887817658848845695e-04L,
168 w6  = -1.91752691752396849943172337347259743e-03L,
169 w7  =  6.41025640880333069429106541459015557e-03L,
170 w8  = -2.95506530801732133437990433080327074e-02L,
171 w9  =  1.79644237328444101596766586979576927e-01L,
172 w10 = -1.39240539108367641920172649259736394e+00L,
174 w12 = -1.56363596431084279780966590116006255e+02L,
176 w14 = -3.28636067474227378352761516589092334e+04L,
178 w16 = -6.79720123352023636706247599728048344e+06L,
180 w18 = -3.26229058141181783534257632389415580e+08L;
186 	long double y,z;  in sin_pil()  local
190 	y = -x;  in sin_pil()
192 	vz = y+0x1.p112;  in sin_pil()
193 	z = vz-0x1.p112;  in sin_pil()
194 	if (z == y)  in sin_pil()
197 	vz = y+0x1.p110;  in sin_pil()
199 	z = vz-0x1.p110;  in sin_pil()
200 	if (z > y) {  in sin_pil()
201 	    z -= 0.25;  in sin_pil()
202 	    n--;  in sin_pil()
205 	y = y - z + n * 0.25;  in sin_pil()
208 	    case 0:   y =  __kernel_sinl(pi*y,zero,0); break;  in sin_pil()
210 	    case 2:   y =  __kernel_cosl(pi*(0.5-y),zero); break;  in sin_pil()
212 	    case 4:   y =  __kernel_sinl(pi*(one-y),zero,0); break;  in sin_pil()
214 	    case 6:   y = -__kernel_cosl(pi*(y-1.5),zero); break;  in sin_pil()
215 	    default:  y =  __kernel_sinl(pi*(y-2.0),zero,0); break;  in sin_pil()
217 	return -y;  in sin_pil()
223 	long double nadj,p,p1,p2,p3,q,r,t,w,y,z;  in lgammal_r()  local
230     /* purge +-Inf and NaNs */  in lgammal_r()
235    /* purge +-0 and tiny arguments */  in lgammal_r()
236 	*signgamp = 1-2*(hx>>15);  in lgammal_r()
237 	if(ix<0x3fff-116) {		/* |x|<2**-(p+3), return -log(|x|) */  in lgammal_r()
240 	    return -logl(fabsl(x));  in lgammal_r()
246 	    if(ix>=0x3fff+112) 		/* |x|>=2**(p-1), must be -integer */  in lgammal_r()
251 	    if(t<zero) *signgamp = -1;  in lgammal_r()
252 	    x = -x;  in lgammal_r()
259 	    if(x<=8.9999961853027344e-01) {  in lgammal_r()
260 		r = -logl(x);  in lgammal_r()
261 		if(x>=7.3159980773925781e-01) {y = 1-x; i= 0;}  in lgammal_r()
262 		else if(x>=2.3163998126983643e-01) {y= x-(tc-1); i=1;}  in lgammal_r()
263 	  	else {y = x; i=2;}  in lgammal_r()
266 	        if(x>=1.7316312789916992e+00) {y=2-x;i=0;}  in lgammal_r()
267 	        else if(x>=1.2316322326660156e+00) {y=x-tc;i=1;}  in lgammal_r()
268 		else {y=x-1;i=2;}  in lgammal_r()
272 		z = y*y;  in lgammal_r()
277 		p  = y*p1+p2;  in lgammal_r()
278 		r  += p-y/2; break;  in lgammal_r()
280 		p = t0+y*t1+tt+y*y*(t2+y*(t3+y*(t4+y*(t5+y*(t6+y*(t7+y*(t8+  in lgammal_r()
281 		    y*(t9+y*(t10+y*(t11+y*(t12+y*(t13+y*(t14+y*(t15+y*(t16+  in lgammal_r()
282 		    y*(t17+y*(t18+y*(t19+y*(t20+y*(t21+y*(t22+y*(t23+  in lgammal_r()
283 		    y*(t24+y*(t25+y*(t26+y*(t27+y*(t28+y*(t29+y*(t30+  in lgammal_r()
284 		    y*(t31+y*t32))))))))))))))))))))))))))))));  in lgammal_r()
287 		p1 = y*(u0+y*(u1+y*(u2+y*(u3+y*(u4+y*(u5+y*(u6+y*(u7+  in lgammal_r()
288 		    y*(u8+y*(u9+y*u10))))))))));  in lgammal_r()
289 		p2 = one+y*(v1+y*(v2+y*(v3+y*(v4+y*(v5+y*(v6+y*(v7+  in lgammal_r()
290 		    y*(v8+y*(v9+y*(v10+y*v11))))))))));  in lgammal_r()
291 		r += p1/p2-y/2;  in lgammal_r()
297 	    y = x-i;  in lgammal_r()
298 	    p = y*(s0+y*(s1+y*(s2+y*(s3+y*(s4+y*(s5+y*(s6+y*(s7+y*(s8+  in lgammal_r()
299 		y*(s9+y*(s10+y*s11)))))))))));  in lgammal_r()
300 	    q = one+y*(r1+y*(r2+y*(r3+y*(r4+y*(r5+y*(r6+y*(r7+y*(r8+  in lgammal_r()
301 		y*(r9+y*(r10+y*r11))))))))));  in lgammal_r()
302 	    r = y/2+p/q;  in lgammal_r()
305 	    case 7: z *= (y+6);		/* FALLTHRU */  in lgammal_r()
306 	    case 6: z *= (y+5);		/* FALLTHRU */  in lgammal_r()
307 	    case 5: z *= (y+4);		/* FALLTHRU */  in lgammal_r()
308 	    case 4: z *= (y+3);		/* FALLTHRU */  in lgammal_r()
309 	    case 3: z *= (y+2);		/* FALLTHRU */  in lgammal_r()
316 	    y = z*z;  in lgammal_r()
317 	    w = w0+z*(w1+y*(w2+y*(w3+y*(w4+y*(w5+y*(w6+y*(w7+y*(w8+  in lgammal_r()
318 		y*(w9+y*(w10+y*(w11+y*(w12+y*(w13+y*(w14+y*(w15+y*(w16+  in lgammal_r()
319 		y*(w17+y*w18)))))))))))))))));  in lgammal_r()
320 	    r = (x-half)*(t-one)+w;  in lgammal_r()
323 	    r =  x*(logl(x)-1);  in lgammal_r()
324 	if(hx&0x8000) r = nadj - r;  in lgammal_r()