37  * Domain y in [0x1p-70, 0.27], range ~[-4.5264e-22, 4.5264e-22]:
38  * |(lgamma(2 - y) + y / 2) / y - a(y)| < 2**-70.9
41 a0u = LD80C(0x9e233f1bed863d26, -4,  7.72156649015328606028e-02L),
42 a1u = LD80C(0xa51a6625307d3249, -2,  3.22467033424113218889e-01L),
43 a2u = LD80C(0x89f000d2abafda8c, -4,  6.73523010531979398946e-02L),
44 a3u = LD80C(0xa8991563eca75f26, -6,  2.05808084277991211934e-02L),
45 a4u = LD80C(0xf2027e10634ce6b6, -8,  7.38555102796070454026e-03L),
46 a5u = LD80C(0xbd6eb76dd22187f4, -9,  2.89051035162703932972e-03L),
47 a6u = LD80C(0x9c562ab05e0458ed, -10,  1.19275351624639999297e-03L),
48 a7u = LD80C(0x859baed93ee48e46, -11,  5.09674593842117925320e-04L),
49 a8u = LD80C(0xe9f28a4432949af2, -13,  2.23109648015769155122e-04L),
50 a9u = LD80C(0xd12ad0d9b93c6bb0, -14,  9.97387167479808509830e-05L),
51 a10u= LD80C(0xb7522643c78a219b, -15,  4.37071076331030136818e-05L),
52 a11u= LD80C(0xca024dcdece2cb79, -16,  2.40813493372040143061e-05L),
53 a12u= LD80C(0xbb90fb6968ebdbf9, -19,  2.79495621083634031729e-06L),
54 a13u= LD80C(0xba1c9ffeeae07b37, -17,  1.10931287015513924136e-05L);
70  * Domain x in [tc-0.24, tc+0.28], range ~[-6.1205e-22, 6.1205e-22]:
71  * |(lgamma(x) - tf) -  t(x - tc)| < 2**-70.5
75 tfu  = LD80C(0xf8cdcde61c520e0f, -4, -1.21486290535849608093e-01L),
76 ttu  = LD80C(0xd46ee54b27d4de99, -69, -2.81152980996018785880e-21L),
77 t0u  = LD80C(0x80b9406556a62a6b, -68,  3.40728634996055147231e-21L),
78 t1u  = LD80C(0xc7e9c6f6df3f8c39, -67, -1.05833162742737073665e-20L),
79 t2u  = LD80C(0xf7b95e4771c55d51, -2,  4.83836122723810583532e-01L),
80 t3u  = LD80C(0x97213c6e35e119ff, -3, -1.47587722994530691476e-01L),
81 t4u  = LD80C(0x845a14a6a81dc94b, -4,  6.46249402389135358063e-02L),
82 t5u  = LD80C(0x864d46fa89997796, -5, -3.27885410884846056084e-02L),
83 t6u  = LD80C(0x93373cbd00297438, -6,  1.79706751150707171293e-02L),
84 t7u  = LD80C(0xa8fcfca7eddc8d1d, -7, -1.03142230361450732547e-02L),
85 t8u  = LD80C(0xc7e7015ff4bc45af, -8,  6.10053603296546099193e-03L),
86 t9u  = LD80C(0xf178d2247adc5093, -9, -3.68456964904901200152e-03L),
87 t10u = LD80C(0x94188d58f12e5e9f, -9,  2.25976420273774583089e-03L),
88 t11u = LD80C(0xb7cbaef14e1406f1, -10, -1.40224943666225639823e-03L),
89 t12u = LD80C(0xe63a671e6704ea4d, -11,  8.78250640744776944887e-04L),
90 t13u = LD80C(0x914b6c9cae61783e, -11, -5.54255012657716808811e-04L),
91 t14u = LD80C(0xb858f5bdb79276fe, -12,  3.51614951536825927370e-04L),
92 t15u = LD80C(0xea73e744c34b9591, -13, -2.23591563824520112236e-04L),
93 t16u = LD80C(0x99aeabb0d67ba835, -13,  1.46562869351659194136e-04L),
94 t17u = LD80C(0xd7c6938325db2024, -14, -1.02889866046435680588e-04L),
95 t18u = LD80C(0xe24cb1e3b0474775, -15,  5.39540265505221957652e-05L);
119  * Domain y in [-0.1, 0.232], range ~[-8.1938e-22, 8.3815e-22]:
120  * |(lgamma(1 + y) + 0.5 * y) / y - u(y) / v(y)| < 2**-71.2
123 u0u = LD80C(0x9e233f1bed863d27, -4, -7.72156649015328606095e-02L),
124 u1u = LD80C(0x98280ee45e4ddd3d, -1,  5.94361239198682739769e-01L),
127 u4u = LD80C(0xa5a9ca6f5bc62163, -1,  6.47122051417476492989e-01L),
128 u5u = LD80C(0xc980e49cd5b019e6, -4,  9.83903751718671509455e-02L),
129 u6u = LD80C(0xff636a8bdce7025b, -9,  3.89691687802305743450e-03L),
133 v4u = LD80C(0xd2f2dc3638567e9f, -2,  4.12009126299534668571e-01L),
134 v5u = LD80C(0xa07d9b0851070f41, -5,  3.91822868305682491442e-02L),
135 v6u = LD80C(0xe3cd8318f7adb2c4, -11,  8.68998648222144351114e-04L);
150  * Domain x in (2, 3], range ~[-3.3648e-22, 3.4416e-22]:
151  * |(lgamma(y+2) - 0.5 * y) / y - s(y)/r(y)| < 2**-72.3
152  * with y = x - 2.
155 s0u = LD80C(0x9e233f1bed863d27, -4, -7.72156649015328606095e-02L),
156 s1u = LD80C(0xd3ff0dcc7fa91f94, -3,  2.07027640921219389860e-01L),
157 s2u = LD80C(0xb2bb62782478ef31, -2,  3.49085881391362090549e-01L),
158 s3u = LD80C(0xb49f7438c4611a74, -3,  1.76389518704213357954e-01L),
159 s4u = LD80C(0x9a957008fa27ecf9, -5,  3.77401710862930008071e-02L),
160 s5u = LD80C(0xda9b389a6ca7a7ac, -9,  3.33566791452943399399e-03L),
161 s6u = LD80C(0xbc7a2263faf59c14, -14,  8.98728786745638844395e-05L),
163 r2u = LD80C(0xd9aec89de08e3da6, -1,  8.50323236984473285866e-01L),
164 r3u = LD80C(0xeab7ae5057c443f9, -3,  2.29216312078225806131e-01L),
165 r4u = LD80C(0xf29707d9bd2b1e37, -6,  2.96130326586640089145e-02L),
166 r5u = LD80C(0xd376c2f09736c5a3, -10,  1.61334161411590662495e-03L),
167 r6u = LD80C(0xc985983d0cd34e3d, -16,  2.40232770710953450636e-05L),
168 r7u = LD80C(0xe5c7a4f7fc2ef13d, -25, -5.34997929289167573510e-08L);
184  * Domain z in [8, 0x1p70], range ~[-3.0235e-22, 3.0563e-22]:
185  * |lgamma(x) - (x - 0.5) * (log(x) - 1) - w(1/x)| < 2**-71.7
188 w0u = LD80C(0xd67f1c864beb4a69, -2,  4.18938533204672741776e-01L),
189 w1u = LD80C(0xaaaaaaaaaaaaaaa1, -4,  8.33333333333333332678e-02L),
190 w2u = LD80C(0xb60b60b60b5491c9, -9, -2.77777777777760927870e-03L),
191 w3u = LD80C(0xd00d00cf58aede4c, -11,  7.93650793490637233668e-04L),
192 w4u = LD80C(0x9c09bf626783d4a5, -11, -5.95238023926039051268e-04L),
193 w5u = LD80C(0xdca7cadc5baa517b, -11,  8.41733700408000822962e-04L),
194 w6u = LD80C(0xfb060e361e1ffd07, -10, -1.91515849570245136604e-03L),
195 w7u = LD80C(0xcbd5101bb58d1f2b, -8,  6.22046743903262649294e-03L),
196 w8u = LD80C(0xad27a668d32c821b, -6, -2.11370706734662081843e-02L);
211 	long double y,z;  in sin_pil()  local
215 	y = -x;  in sin_pil()
217 	vz = y+0x1p63;  in sin_pil()
218 	z = vz-0x1p63;  in sin_pil()
219 	if (z == y)  in sin_pil()
222 	vz = y+0x1p61;  in sin_pil()
224 	z = vz-0x1p61;  in sin_pil()
225 	if (z > y) {  in sin_pil()
226 	    z -= 0.25;			/* adjust to round down */  in sin_pil()
227 	    n--;  in sin_pil()
229 	n &= 7;				/* octant of y mod 2 */  in sin_pil()
230 	y = y - z + n * 0.25;		/* y mod 2 */  in sin_pil()
233 	    case 0:   y =  __kernel_sinl(pi*y,zero,0); break;  in sin_pil()
235 	    case 2:   y =  __kernel_cosl(pi*(0.5-y),zero); break;  in sin_pil()
237 	    case 4:   y =  __kernel_sinl(pi*(one-y),zero,0); break;  in sin_pil()
239 	    case 6:   y = -__kernel_cosl(pi*(y-1.5),zero); break;  in sin_pil()
240 	    default:  y =  __kernel_sinl(pi*(y-2.0),zero,0); break;  in sin_pil()
242 	return -y;  in sin_pil()
248 	long double nadj,p,p1,p2,q,r,t,w,y,z;  in lgammal_r()  local
255     /* purge +-Inf and NaNs */  in lgammal_r()
262     /* purge +-0 and tiny arguments */  in lgammal_r()
263 	*signgamp = 1-2*(hx>>15);  in lgammal_r()
264 	if(ix<0x3fff-67) {		/* |x|<2**-(p+3), return -log(|x|) */  in lgammal_r()
267 	    RETURNI(-logl(fabsl(x)));  in lgammal_r()
273 	    if(ix>=0x3fff+63) 		/* |x|>=2**(p-1), must be -integer */  in lgammal_r()
276 	    if(t==zero) RETURNI(one/vzero); /* -integer */  in lgammal_r()
278 	    if(t<zero) *signgamp = -1;  in lgammal_r()
279 	    x = -x;  in lgammal_r()
291      * 8.9999961853027344e-01 3ffe e666600000000000  in lgammal_r()
292      * 7.3159980773925781e-01 3ffe bb4a200000000000  in lgammal_r()
293      * 2.3163998126983643e-01 3ffc ed33080000000000  in lgammal_r()
297 	    if(x<8.9999961853027344e-01) {  in lgammal_r()
298 		r = -logl(x);  in lgammal_r()
299 		if(x>=7.3159980773925781e-01) {y = 1-x; i= 0;}  in lgammal_r()
300 		else if(x>=2.3163998126983643e-01) {y= x-(tc-1); i=1;}  in lgammal_r()
301 		else {y = x; i=2;}  in lgammal_r()
304 		if(x>=1.7316312789916992e+00) {y=2-x;i=0;}  in lgammal_r()
305 		else if(x>=1.2316322326660156e+00) {y=x-tc;i=1;}  in lgammal_r()
306 		else {y=x-1;i=2;}  in lgammal_r()
310 		z = y*y;  in lgammal_r()
313 		p  = y*p1+p2;  in lgammal_r()
314 		r  += p-y/2; break;  in lgammal_r()
316 		p = t0+y*t1+tt+y*y*(t2+y*(t3+y*(t4+y*(t5+y*(t6+y*(t7+y*(t8+  in lgammal_r()
317 		    y*(t9+y*(t10+y*(t11+y*(t12+y*(t13+y*(t14+y*(t15+y*(t16+  in lgammal_r()
318 		    y*(t17+y*t18))))))))))))))));  in lgammal_r()
321 		p1 = y*(u0+y*(u1+y*(u2+y*(u3+y*(u4+y*(u5+y*u6))))));  in lgammal_r()
322 		p2 = 1+y*(v1+y*(v2+y*(v3+y*(v4+y*(v5+y*v6)))));  in lgammal_r()
323 		r += p1/p2-y/2;  in lgammal_r()
329 	    y = x-i;  in lgammal_r()
330 	    p = y*(s0+y*(s1+y*(s2+y*(s3+y*(s4+y*(s5+y*s6))))));  in lgammal_r()
331 	    q = 1+y*(r1+y*(r2+y*(r3+y*(r4+y*(r5+y*(r6+y*r7))))));  in lgammal_r()
332 	    r = y/2+p/q;  in lgammal_r()
335 	    case 7: z *= (y+6);		/* FALLTHRU */  in lgammal_r()
336 	    case 6: z *= (y+5);		/* FALLTHRU */  in lgammal_r()
337 	    case 5: z *= (y+4);		/* FALLTHRU */  in lgammal_r()
338 	    case 4: z *= (y+3);		/* FALLTHRU */  in lgammal_r()
339 	    case 3: z *= (y+2);		/* FALLTHRU */  in lgammal_r()
346 	    y = z*z;  in lgammal_r()
347 	    w = w0+z*(w1+y*(w2+y*(w3+y*(w4+y*(w5+y*(w6+y*(w7+y*w8)))))));  in lgammal_r()
348 	    r = (x-half)*(t-one)+w;  in lgammal_r()
351 	    r =  x*(logl(x)-1);  in lgammal_r()
352 	if(hx&0x8000) r = nadj - r;  in lgammal_r()