Index: head/lib/msun/src/e_coshl.c =================================================================== --- head/lib/msun/src/e_coshl.c (revision 306526) +++ head/lib/msun/src/e_coshl.c (revision 306527) @@ -1,130 +1,132 @@ /* from: FreeBSD: head/lib/msun/src/e_coshl.c XXX */ /* * ==================================================== * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #include __FBSDID("$FreeBSD$"); /* * See e_cosh.c for complete comments. * * Converted to long double by Bruce D. Evans. */ #include #ifdef __i386__ #include #endif #include "fpmath.h" #include "math.h" #include "math_private.h" #include "k_expl.h" #if LDBL_MAX_EXP != 0x4000 /* We also require the usual expsign encoding. */ #error "Unsupported long double format" #endif #define BIAS (LDBL_MAX_EXP - 1) static const volatile long double huge = 0x1p10000L, tiny = 0x1p-10000L; #if LDBL_MANT_DIG == 64 /* * Domain [-1, 1], range ~[-1.8211e-21, 1.8211e-21]: * |cosh(x) - c(x)| < 2**-68.8 */ static const union IEEEl2bits C4u = LD80C(0xaaaaaaaaaaaaac78, -5, 4.16666666666666682297e-2L); #define C4 C4u.e static const double C2 = 0.5, C6 = 1.3888888888888616e-3, /* 0x16c16c16c16b99.0p-62 */ C8 = 2.4801587301767953e-5, /* 0x1a01a01a027061.0p-68 */ C10 = 2.7557319163300398e-7, /* 0x127e4fb6c9b55f.0p-74 */ C12 = 2.0876768371393075e-9, /* 0x11eed99406a3f4.0p-81 */ C14 = 1.1469537039374480e-11, /* 0x1938c67cd18c48.0p-89 */ C16 = 4.8473490896852041e-14; /* 0x1b49c429701e45.0p-97 */ #elif LDBL_MANT_DIG == 113 /* * Domain [-1, 1], range ~[-2.3194e-37, 2.3194e-37]: * |cosh(x) - c(x)| < 2**-121.69 */ static const long double C4 = 4.16666666666666666666666666666666225e-2L, /* 0x1555555555555555555555555554e.0p-117L */ C6 = 1.38888888888888888888888888889434831e-3L, /* 0x16c16c16c16c16c16c16c16c1dd7a.0p-122L */ C8 = 2.48015873015873015873015871870962089e-5L, /* 0x1a01a01a01a01a01a01a017af2756.0p-128L */ C10 = 2.75573192239858906525574318600800201e-7L, /* 0x127e4fb7789f5c72ef01c8a040640.0p-134L */ C12 = 2.08767569878680989791444691755468269e-9L, /* 0x11eed8eff8d897b543d0679607399.0p-141L */ C14= 1.14707455977297247387801189650495351e-11L, /* 0x193974a8c07c9d24ae169a7fa9b54.0p-149L */ C16 = 4.77947733238737883626416876486279985e-14L; /* 0x1ae7f3e733b814d4e1b90f5727fe4.0p-157L */ static const double C2 = 0.5, C18 = 1.5619206968597871e-16, /* 0x16827863b9900b.0p-105 */ C20 = 4.1103176218528049e-19, /* 0x1e542ba3d3c269.0p-114 */ C22 = 8.8967926401641701e-22, /* 0x10ce399542a014.0p-122 */ C24 = 1.6116681626523904e-24, /* 0x1f2c981d1f0cb7.0p-132 */ C26 = 2.5022374732804632e-27; /* 0x18c7ecf8b2c4a0.0p-141 */ #else #error "Unsupported long double format" #endif /* LDBL_MANT_DIG == 64 */ /* log(2**16385 - 0.5) rounded up: */ static const float o_threshold = 1.13572168e4; /* 0xb174de.0p-10 */ long double coshl(long double x) { long double hi,lo,x2,x4; +#if LDBL_MANT_DIG == 113 double dx2; +#endif uint16_t ix; GET_LDBL_EXPSIGN(ix,x); ix &= 0x7fff; /* x is INF or NaN */ if(ix>=0x7fff) return x*x; ENTERI(); /* |x| < 1, return 1 or c(x) */ if(ix<0x3fff) { if (ix o_threshold, cosh(x) overflow */ RETURNI(huge*huge); } Index: head/lib/msun/src/e_sinhl.c =================================================================== --- head/lib/msun/src/e_sinhl.c (revision 306526) +++ head/lib/msun/src/e_sinhl.c (revision 306527) @@ -1,131 +1,134 @@ /* from: FreeBSD: head/lib/msun/src/e_sinhl.c XXX */ /* * ==================================================== * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #include __FBSDID("$FreeBSD$"); /* * See e_sinh.c for complete comments. * * Converted to long double by Bruce D. Evans. */ #include #ifdef __i386__ #include #endif #include "fpmath.h" #include "math.h" #include "math_private.h" #include "k_expl.h" #if LDBL_MAX_EXP != 0x4000 /* We also require the usual expsign encoding. */ #error "Unsupported long double format" #endif #define BIAS (LDBL_MAX_EXP - 1) static const long double shuge = 0x1p16383L; #if LDBL_MANT_DIG == 64 /* * Domain [-1, 1], range ~[-6.6749e-22, 6.6749e-22]: * |sinh(x)/x - s(x)| < 2**-70.3 */ static const union IEEEl2bits S3u = LD80C(0xaaaaaaaaaaaaaaaa, -3, 1.66666666666666666658e-1L); #define S3 S3u.e static const double S5 = 8.3333333333333332e-3, /* 0x11111111111111.0p-59 */ S7 = 1.9841269841270074e-4, /* 0x1a01a01a01a070.0p-65 */ S9 = 2.7557319223873889e-6, /* 0x171de3a5565fe6.0p-71 */ S11 = 2.5052108406704084e-8, /* 0x1ae6456857530f.0p-78 */ S13 = 1.6059042748655297e-10, /* 0x161245fa910697.0p-85 */ S15 = 7.6470006914396920e-13, /* 0x1ae7ce4eff2792.0p-93 */ S17 = 2.8346142308424267e-15; /* 0x19882ce789ffc6.0p-101 */ #elif LDBL_MANT_DIG == 113 /* * Domain [-1, 1], range ~[-2.9673e-36, 2.9673e-36]: * |sinh(x)/x - s(x)| < 2**-118.0 */ static const long double S3 = 1.66666666666666666666666666666666033e-1L, /* 0x1555555555555555555555555553b.0p-115L */ S5 = 8.33333333333333333333333333337643193e-3L, /* 0x111111111111111111111111180f5.0p-119L */ S7 = 1.98412698412698412698412697391263199e-4L, /* 0x1a01a01a01a01a01a01a0176aad11.0p-125L */ S9 = 2.75573192239858906525574406205464218e-6L, /* 0x171de3a556c7338faac243aaa9592.0p-131L */ S11 = 2.50521083854417187749675637460977997e-8L, /* 0x1ae64567f544e38fe59b3380d7413.0p-138L */ S13 = 1.60590438368216146368737762431552702e-10L, /* 0x16124613a86d098059c7620850fc2.0p-145L */ S15 = 7.64716373181980539786802470969096440e-13L, /* 0x1ae7f3e733b814193af09ce723043.0p-153L */ S17 = 2.81145725434775409870584280722701574e-15L; /* 0x1952c77030c36898c3fd0b6dfc562.0p-161L */ static const double S19= 8.2206352435411005e-18, /* 0x12f49b4662b86d.0p-109 */ S21= 1.9572943931418891e-20, /* 0x171b8f2fab9628.0p-118 */ S23 = 3.8679983530666939e-23, /* 0x17617002b73afc.0p-127 */ S25 = 6.5067867911512749e-26; /* 0x1423352626048a.0p-136 */ #else #error "Unsupported long double format" #endif /* LDBL_MANT_DIG == 64 */ /* log(2**16385 - 0.5) rounded up: */ static const float o_threshold = 1.13572168e4; /* 0xb174de.0p-10 */ long double sinhl(long double x) { long double hi,lo,x2,x4; - double dx2,s; +#if LDBL_MANT_DIG == 113 + double dx2; +#endif + double s; int16_t ix,jx; GET_LDBL_EXPSIGN(jx,x); ix = jx&0x7fff; /* x is INF or NaN */ if(ix>=0x7fff) return x+x; ENTERI(); s = 1; if (jx<0) s = -1; /* |x| < 64, return x, s(x), or accurate s*(exp(|x|)/2-1/exp(|x|)/2) */ if (ix<0x4005) { /* |x|<64 */ if (ix1) RETURNI(x); /* sinh(tiny) = tiny with inexact */ if (ix<0x3fff) { /* |x|<1 */ x2 = x*x; #if LDBL_MANT_DIG == 64 x4 = x2*x2; RETURNI(((S17*x2 + S15)*x4 + (S13*x2 + S11))*(x2*x*x4*x4) + ((S9*x2 + S7)*x2 + S5)*(x2*x*x2) + S3*(x2*x) + x); #elif LDBL_MANT_DIG == 113 dx2 = x2; RETURNI(((((((((((S25*dx2 + S23)*dx2 + S21)*x2 + S19)*x2 + S17)*x2 + S15)*x2 + S13)*x2 + S11)*x2 + S9)*x2 + S7)*x2 + S5)* (x2*x*x2) + S3*(x2*x) + x); #endif } k_hexpl(fabsl(x), &hi, &lo); RETURNI(s*(lo - 0.25/(hi + lo) + hi)); } /* |x| in [64, o_threshold], return correctly-overflowing s*exp(|x|)/2 */ if (fabsl(x) <= o_threshold) RETURNI(s*hexpl(fabsl(x))); /* |x| > o_threshold, sinh(x) overflow */ return x*shuge; } Index: head/lib/msun/src/s_tanhl.c =================================================================== --- head/lib/msun/src/s_tanhl.c (revision 306526) +++ head/lib/msun/src/s_tanhl.c (revision 306527) @@ -1,172 +1,174 @@ /* from: FreeBSD: head/lib/msun/src/s_tanhl.c XXX */ /* @(#)s_tanh.c 5.1 93/09/24 */ /* * ==================================================== * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #include __FBSDID("$FreeBSD$"); /* * See s_tanh.c for complete comments. * * Converted to long double by Bruce D. Evans. */ #include #ifdef __i386__ #include #endif #include "math.h" #include "math_private.h" #include "fpmath.h" #include "k_expl.h" #if LDBL_MAX_EXP != 0x4000 /* We also require the usual expsign encoding. */ #error "Unsupported long double format" #endif #define BIAS (LDBL_MAX_EXP - 1) static const volatile double tiny = 1.0e-300; static const double one = 1.0; #if LDBL_MANT_DIG == 64 /* * Domain [-0.25, 0.25], range ~[-1.6304e-22, 1.6304e-22]: * |tanh(x)/x - t(x)| < 2**-72.3 */ static const union IEEEl2bits T3u = LD80C(0xaaaaaaaaaaaaaa9f, -2, -3.33333333333333333017e-1L); #define T3 T3u.e static const double T5 = 1.3333333333333314e-1, /* 0x1111111111110a.0p-55 */ T7 = -5.3968253968210485e-2, /* -0x1ba1ba1ba1a1a1.0p-57 */ T9 = 2.1869488531393817e-2, /* 0x1664f488172022.0p-58 */ T11 = -8.8632352345964591e-3, /* -0x1226e34bc138d5.0p-59 */ T13 = 3.5921169709993771e-3, /* 0x1d6d371d3e400f.0p-61 */ T15 = -1.4555786415756001e-3, /* -0x17d923aa63814d.0p-62 */ T17 = 5.8645267876296793e-4, /* 0x13378589b85aa7.0p-63 */ T19 = -2.1121033571392224e-4; /* -0x1baf0af80c4090.0p-65 */ #elif LDBL_MANT_DIG == 113 /* * Domain [-0.25, 0.25], range ~[-2.4211e-37, 2.4211e-37]: * |tanh(x)/x - t(x)| < 2**121.6 */ static const long double T3 = -3.33333333333333333333333333333332980e-1L, /* -0x1555555555555555555555555554e.0p-114L */ T5 = 1.33333333333333333333333333332707260e-1L, /* 0x1111111111111111111111110ab7b.0p-115L */ T7 = -5.39682539682539682539682535723482314e-2L, /* -0x1ba1ba1ba1ba1ba1ba1ba17b5fc98.0p-117L */ T9 = 2.18694885361552028218693591149061717e-2L, /* 0x1664f4882c10f9f32d6b1a12a25e5.0p-118L */ T11 = -8.86323552990219656883762347736381851e-3L, /* -0x1226e355e6c23c8f5a5a0f386cb4d.0p-119L */ T13 = 3.59212803657248101358314398220822722e-3L, /* 0x1d6d3d0e157ddfb403ad3637442c6.0p-121L */ T15 = -1.45583438705131796512568010348874662e-3L; /* -0x17da36452b75e150c44cc34253b34.0p-122L */ static const double T17 = 5.9002744094556621e-4, /* 0x1355824803668e.0p-63 */ T19 = -2.3912911424260516e-4, /* -0x1f57d7734c8dde.0p-65 */ T21 = 9.6915379535512898e-5, /* 0x1967e18ad6a6ca.0p-66 */ T23 = -3.9278322983156353e-5, /* -0x1497d8e6b75729.0p-67 */ T25 = 1.5918887220143869e-5, /* 0x10b1319998cafa.0p-68 */ T27 = -6.4514295231630956e-6, /* -0x1b0f2b71b218eb.0p-70 */ T29 = 2.6120754043964365e-6, /* 0x15e963a3cf3a39.0p-71 */ T31 = -1.0407567231003314e-6, /* -0x1176041e656869.0p-72 */ T33 = 3.4744117554063574e-7; /* 0x1750fe732cab9c.0p-74 */ #endif /* LDBL_MANT_DIG == 64 */ static inline long double divl(long double a, long double b, long double c, long double d, long double e, long double f) { long double inv, r; float fr, fw; _2sumF(a, c); b = b + c; _2sumF(d, f); e = e + f; inv = 1 / (d + e); r = (a + b) * inv; fr = r; r = fr; fw = d + e; e = d - fw + e; d = fw; r = r + (a - d * r + b - e * r) * inv; return r; } long double tanhl(long double x) { long double hi,lo,s,x2,x4,z; +#if LDBL_MANT_DIG == 113 double dx2; +#endif int16_t jx,ix; GET_LDBL_EXPSIGN(jx,x); ix = jx&0x7fff; /* x is INF or NaN */ if(ix>=0x7fff) { if (jx>=0) return one/x+one; /* tanh(+-inf)=+-1 */ else return one/x-one; /* tanh(NaN) = NaN */ } ENTERI(); /* |x| < 40 */ if (ix < 0x4004 || fabsl(x) < 40) { /* |x|<40 */ if (__predict_false(ix= 40, return +-1 */ } else { z = one - tiny; /* raise inexact flag */ } s = 1; if (jx<0) s = -1; RETURNI(s*z); }