diff options
| -rw-r--r-- | lib/msun/Makefile | 12 | ||||
| -rw-r--r-- | lib/msun/Symbol.map | 3 | ||||
| -rw-r--r-- | lib/msun/man/acosh.3 | 33 | ||||
| -rw-r--r-- | lib/msun/man/asinh.3 | 33 | ||||
| -rw-r--r-- | lib/msun/man/atanh.3 | 33 | ||||
| -rw-r--r-- | lib/msun/src/e_acosh.c | 6 | ||||
| -rw-r--r-- | lib/msun/src/e_acoshl.c | 89 | ||||
| -rw-r--r-- | lib/msun/src/e_atanh.c | 6 | ||||
| -rw-r--r-- | lib/msun/src/e_atanhl.c | 74 | ||||
| -rw-r--r-- | lib/msun/src/math.h | 6 | ||||
| -rw-r--r-- | lib/msun/src/s_asinh.c | 6 | ||||
| -rw-r--r-- | lib/msun/src/s_asinhl.c | 91 |
12 files changed, 344 insertions, 48 deletions
diff --git a/lib/msun/Makefile b/lib/msun/Makefile index 43e4b0b..14db97e 100644 --- a/lib/msun/Makefile +++ b/lib/msun/Makefile @@ -94,10 +94,10 @@ SYMBOL_MAPS= ${SYM_MAPS} COMMON_SRCS+= s_copysignl.c s_fabsl.c s_llrintl.c s_lrintl.c s_modfl.c .if ${LDBL_PREC} != 53 # If long double != double use these; otherwise, we alias the double versions. -COMMON_SRCS+= e_acosl.c e_asinl.c e_atan2l.c e_fmodl.c \ - e_hypotl.c e_remainderl.c e_sqrtl.c \ +COMMON_SRCS+= e_acoshl.c e_acosl.c e_asinl.c e_atan2l.c e_atanhl.c \ + e_fmodl.c e_hypotl.c e_remainderl.c e_sqrtl.c \ invtrig.c k_cosl.c k_sinl.c k_tanl.c \ - s_atanl.c s_cbrtl.c s_ceill.c s_cosl.c s_cprojl.c \ + s_asinhl.c s_atanl.c s_cbrtl.c s_ceill.c s_cosl.c s_cprojl.c \ s_csqrtl.c s_exp2l.c s_expl.c s_floorl.c s_fmal.c \ s_frexpl.c s_logbl.c s_logl.c s_nanl.c s_nextafterl.c \ s_nexttoward.c s_remquol.c s_rintl.c s_scalbnl.c \ @@ -138,11 +138,11 @@ MAN= acos.3 acosh.3 asin.3 asinh.3 atan.3 atan2.3 atanh.3 \ complex.3 MLINKS+=acos.3 acosf.3 acos.3 acosl.3 -MLINKS+=acosh.3 acoshf.3 +MLINKS+=acosh.3 acoshf.3 acosh.3 acoshl.3 MLINKS+=asin.3 asinf.3 asin.3 asinl.3 -MLINKS+=asinh.3 asinhf.3 +MLINKS+=asinh.3 asinhf.3 asinh.3 asinhl.3 MLINKS+=atan.3 atanf.3 atan.3 atanl.3 -MLINKS+=atanh.3 atanhf.3 +MLINKS+=atanh.3 atanhf.3 atanh.3 atanhl.3 MLINKS+=atan2.3 atan2f.3 atan2.3 atan2l.3 \ atan2.3 carg.3 atan2.3 cargf.3 atan2.3 cargl.3 MLINKS+=cacos.3 cacosf.3 cacos.3 cacosh.3 cacos.3 cacoshf.3 \ diff --git a/lib/msun/Symbol.map b/lib/msun/Symbol.map index 045ac92..f244af4 100644 --- a/lib/msun/Symbol.map +++ b/lib/msun/Symbol.map @@ -237,6 +237,9 @@ FBSD_1.3 { fegetround; fesetround; fesetenv; + acoshl; + asinhl; + atanhl; cacos; cacosf; cacosh; diff --git a/lib/msun/man/acosh.3 b/lib/msun/man/acosh.3 index cd04bb7..b32c2ea 100644 --- a/lib/msun/man/acosh.3 +++ b/lib/msun/man/acosh.3 @@ -28,12 +28,13 @@ .\" from: @(#)acosh.3 5.2 (Berkeley) 5/6/91 .\" $FreeBSD$ .\" -.Dd January 14, 2005 +.Dd June 9, 2013 .Dt ACOSH 3 .Os .Sh NAME .Nm acosh , -.Nm acoshf +.Nm acoshf , +.Nm acoshl .Nd inverse hyperbolic cosine functions .Sh LIBRARY .Lb libm @@ -43,11 +44,14 @@ .Fn acosh "double x" .Ft float .Fn acoshf "float x" +.Ft long double +.Fn acoshl "long double x" .Sh DESCRIPTION The -.Fn acosh -and the -.Fn acoshf +.Fn acosh , +.Fn acoshf , +and +.Fn acoshl functions compute the inverse hyperbolic cosine of the real argument @@ -55,11 +59,7 @@ argument For a discussion of error due to roundoff, see .Xr math 3 . .Sh RETURN VALUES -The -.Fn acosh -and the -.Fn acoshf -functions +These functions return the inverse hyperbolic cosine of .Ar x . If the argument is less than 1, @@ -73,6 +73,13 @@ raises an invalid exception and returns an \*(Na. .Xr math 3 .Sh HISTORY The -.Fn acosh -function appeared in -.Bx 4.3 . +.Fn acosh , +.Fn acoshf , +and +.Fn acoshl +functions appeared in +.Bx 4.3 , +.Fx 2.0 , +and +.Fx 10.0 , +respectively. diff --git a/lib/msun/man/asinh.3 b/lib/msun/man/asinh.3 index 6dba217..bab8da6 100644 --- a/lib/msun/man/asinh.3 +++ b/lib/msun/man/asinh.3 @@ -28,12 +28,13 @@ .\" from: @(#)asinh.3 6.4 (Berkeley) 5/6/91 .\" $FreeBSD$ .\" -.Dd May 6, 1991 +.Dd June 9, 2013 .Dt ASINH 3 .Os .Sh NAME .Nm asinh , -.Nm asinhf +.Nm asinhf , +.Nm asinhl .Nd inverse hyperbolic sine functions .Sh LIBRARY .Lb libm @@ -43,11 +44,14 @@ .Fn asinh "double x" .Ft float .Fn asinhf "float x" +.Ft long double +.Fn asinhl "long double x" .Sh DESCRIPTION The -.Fn asinh -and the -.Fn asinhf +.Fn asinh , +.Fn asinhf , +and +.Fn asinhl functions compute the inverse hyperbolic sine of the real argument @@ -55,11 +59,7 @@ argument For a discussion of error due to roundoff, see .Xr math 3 . .Sh RETURN VALUES -The -.Fn asinh -and the -.Fn asinhf -functions +These functions return the inverse hyperbolic sine of .Ar x . .Sh SEE ALSO @@ -69,6 +69,13 @@ return the inverse hyperbolic sine of .Xr math 3 .Sh HISTORY The -.Fn asinh -function appeared in -.Bx 4.3 . +.Fn asinh , +.Fn asinhf , +and +.Fn asinhl +functions appeared in +.Bx 4.3 , +.Fx 2.0 , +and +.Fx 10.0 , +respectively. diff --git a/lib/msun/man/atanh.3 b/lib/msun/man/atanh.3 index 0638a1f..7763c46 100644 --- a/lib/msun/man/atanh.3 +++ b/lib/msun/man/atanh.3 @@ -28,12 +28,13 @@ .\" from: @(#)atanh.3 5.2 (Berkeley) 5/6/91 .\" $FreeBSD$ .\" -.Dd January 14, 2005 +.Dd June 9, 2013 .Dt ATANH 3 .Os .Sh NAME .Nm atanh , -.Nm atanhf +.Nm atanhf , +.Nm atanhl .Nd inverse hyperbolic tangent functions .Sh LIBRARY .Lb libm @@ -43,11 +44,14 @@ .Fn atanh "double x" .Ft float .Fn atanhf "float x" +.Ft long double +.Fn atanhl "long double x" .Sh DESCRIPTION The -.Fn atanh -and the -.Fn atanhf +.Fn atanh , +.Fn atanhf , +and +.Fn atanhl functions compute the inverse hyperbolic tangent of the real argument @@ -55,11 +59,7 @@ argument For a discussion of error due to roundoff, see .Xr math 3 . .Sh RETURN VALUES -The -.Fn atanh -and the -.Fn atanhf -functions +These functions return the inverse hyperbolic tangent of .Ar x if successful. @@ -76,6 +76,13 @@ If .Xr math 3 .Sh HISTORY The -.Fn atanh -function appeared in -.Bx 4.3 . +.Fn atanh , +.Fn atanhf , +and +.Fn atanhl +functions appeared in +.Bx 4.3 , +.Fx 2.0 , +and +.Fx 10.0 , +respectively. diff --git a/lib/msun/src/e_acosh.c b/lib/msun/src/e_acosh.c index a0cc6cb..358c8bd 100644 --- a/lib/msun/src/e_acosh.c +++ b/lib/msun/src/e_acosh.c @@ -29,6 +29,8 @@ __FBSDID("$FreeBSD$"); * acosh(NaN) is NaN without signal. */ +#include <float.h> + #include "math.h" #include "math_private.h" @@ -60,3 +62,7 @@ __ieee754_acosh(double x) return log1p(t+sqrt(2.0*t+t*t)); } } + +#if LDBL_MANT_DIG == 53 +__weak_reference(acosh, acoshl); +#endif diff --git a/lib/msun/src/e_acoshl.c b/lib/msun/src/e_acoshl.c new file mode 100644 index 0000000..b9f3aed --- /dev/null +++ b/lib/msun/src/e_acoshl.c @@ -0,0 +1,89 @@ +/* from: FreeBSD: head/lib/msun/src/e_acosh.c 176451 2008-02-22 02:30:36Z das */ + +/* @(#)e_acosh.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_acosh.c for complete comments. + * + * Converted to long double by David Schultz <das@FreeBSD.ORG> and + * Bruce D. Evans. + */ + +#include <float.h> +#ifdef __i386__ +#include <ieeefp.h> +#endif + +#include "fpmath.h" +#include "math.h" +#include "math_private.h" + +/* EXP_LARGE is the threshold above which we use acosh(x) ~= log(2x). */ +#if LDBL_MANT_DIG == 64 +#define EXP_LARGE 34 +#elif LDBL_MANT_DIG == 113 +#define EXP_LARGE 58 +#else +#error "Unsupported long double format" +#endif + +#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 double +one = 1.0; + +#if LDBL_MANT_DIG == 64 +static const union IEEEl2bits +u_ln2 = LD80C(0xb17217f7d1cf79ac, -1, 6.93147180559945309417e-1L); +#define ln2 u_ln2.e +#elif LDBL_MANT_DIG == 113 +static const long double +ln2 = 6.93147180559945309417232121458176568e-1L; /* 0x162e42fefa39ef35793c7673007e6.0p-113 */ +#else +#error "Unsupported long double format" +#endif + +long double +acoshl(long double x) +{ + long double t; + int16_t hx; + + ENTERI(); + GET_LDBL_EXPSIGN(hx, x); + if (hx < 0x3fff) { /* x < 1, or misnormal */ + RETURNI((x-x)/(x-x)); + } else if (hx >= BIAS + EXP_LARGE) { /* x >= LARGE */ + if (hx >= 0x7fff) { /* x is inf, NaN or misnormal */ + RETURNI(x+x); + } else + RETURNI(logl(x)+ln2); /* acosh(huge)=log(2x), or misnormal */ + } else if (hx == 0x3fff && x == 1) { + RETURNI(0.0); /* acosh(1) = 0 */ + } else if (hx >= 0x4000) { /* LARGE > x >= 2, or misnormal */ + t=x*x; + RETURNI(logl(2.0*x-one/(x+sqrtl(t-one)))); + } else { /* 1<x<2 */ + t = x-one; + RETURNI(log1pl(t+sqrtl(2.0*t+t*t))); + } +} diff --git a/lib/msun/src/e_atanh.c b/lib/msun/src/e_atanh.c index ab8a2e1..422ff26 100644 --- a/lib/msun/src/e_atanh.c +++ b/lib/msun/src/e_atanh.c @@ -33,6 +33,8 @@ __FBSDID("$FreeBSD$"); * */ +#include <float.h> + #include "math.h" #include "math_private.h" @@ -60,3 +62,7 @@ __ieee754_atanh(double x) t = 0.5*log1p((x+x)/(one-x)); if(hx>=0) return t; else return -t; } + +#if LDBL_MANT_DIG == 53 +__weak_reference(atanh, atanhl); +#endif diff --git a/lib/msun/src/e_atanhl.c b/lib/msun/src/e_atanhl.c new file mode 100644 index 0000000..11d56ea --- /dev/null +++ b/lib/msun/src/e_atanhl.c @@ -0,0 +1,74 @@ +/* from: FreeBSD: head/lib/msun/src/e_atanh.c 176451 2008-02-22 02:30:36Z das */ + +/* @(#)e_atanh.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_atanh.c for complete comments. + * + * Converted to long double by David Schultz <das@FreeBSD.ORG> and + * Bruce D. Evans. + */ + +#include <float.h> +#ifdef __i386__ +#include <ieeefp.h> +#endif + +#include "fpmath.h" +#include "math.h" +#include "math_private.h" + +/* EXP_TINY is the threshold below which we use atanh(x) ~= x. */ +#if LDBL_MANT_DIG == 64 +#define EXP_TINY -34 +#elif LDBL_MANT_DIG == 113 +#define EXP_TINY -58 +#else +#error "Unsupported long double format" +#endif + +#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 double one = 1.0, huge = 1e300; +static const double zero = 0.0; + +long double +atanhl(long double x) +{ + long double t; + uint16_t hx, ix; + + ENTERI(); + GET_LDBL_EXPSIGN(hx, x); + ix = hx & 0x7fff; + if (ix >= 0x3fff) /* |x| >= 1, or NaN or misnormal */ + RETURNI(fabsl(x) == 1 ? x / zero : (x - x) / (x - x)); + if (ix < BIAS + EXP_TINY && (huge + x) > zero) + RETURNI(x); /* x is tiny */ + SET_LDBL_EXPSIGN(x, ix); + if (ix < 0x3ffe) { /* |x| < 0.5, or misnormal */ + t = x+x; + t = 0.5*log1pl(t+t*x/(one-x)); + } else + t = 0.5*log1pl((x+x)/(one-x)); + RETURNI((hx & 0x8000) == 0 ? t : -t); +} diff --git a/lib/msun/src/math.h b/lib/msun/src/math.h index 8d0d478..d831f15 100644 --- a/lib/msun/src/math.h +++ b/lib/msun/src/math.h @@ -395,9 +395,12 @@ float significandf(float); * long double versions of ISO/POSIX math functions */ #if __ISO_C_VISIBLE >= 1999 +long double acoshl(long double); long double acosl(long double); +long double asinhl(long double); long double asinl(long double); long double atan2l(long double, long double); +long double atanhl(long double); long double atanl(long double); long double cbrtl(long double); long double ceill(long double); @@ -461,9 +464,6 @@ __END_DECLS */ __BEGIN_DECLS -long double acoshl(long double); -long double asinhl(long double); -long double atanhl(long double); long double coshl(long double); long double erfcl(long double); long double erfl(long double); diff --git a/lib/msun/src/s_asinh.c b/lib/msun/src/s_asinh.c index f3fdf74..cbb3d46 100644 --- a/lib/msun/src/s_asinh.c +++ b/lib/msun/src/s_asinh.c @@ -24,6 +24,8 @@ __FBSDID("$FreeBSD$"); * := sign(x)*log1p(|x| + x^2/(1 + sqrt(1+x^2))) */ +#include <float.h> + #include "math.h" #include "math_private.h" @@ -54,3 +56,7 @@ asinh(double x) } if(hx>0) return w; else return -w; } + +#if LDBL_MANT_DIG == 53 +__weak_reference(asinh, asinhl); +#endif diff --git a/lib/msun/src/s_asinhl.c b/lib/msun/src/s_asinhl.c new file mode 100644 index 0000000..ba28f59 --- /dev/null +++ b/lib/msun/src/s_asinhl.c @@ -0,0 +1,91 @@ +/* from: FreeBSD: head/lib/msun/src/e_acosh.c 176451 2008-02-22 02:30:36Z das */ + +/* @(#)s_asinh.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 <sys/cdefs.h> +__FBSDID("$FreeBSD$"); + +/* + * See s_asinh.c for complete comments. + * + * Converted to long double by David Schultz <das@FreeBSD.ORG> and + * Bruce D. Evans. + */ + +#include <float.h> +#ifdef __i386__ +#include <ieeefp.h> +#endif + +#include "fpmath.h" +#include "math.h" +#include "math_private.h" + +/* EXP_LARGE is the threshold above which we use asinh(x) ~= log(2x). */ +/* EXP_TINY is the threshold below which we use asinh(x) ~= x. */ +#if LDBL_MANT_DIG == 64 +#define EXP_LARGE 34 +#define EXP_TINY -34 +#elif LDBL_MANT_DIG == 113 +#define EXP_LARGE 58 +#define EXP_TINY -58 +#else +#error "Unsupported long double format" +#endif + +#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 double +one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */ +huge= 1.00000000000000000000e+300; + +#if LDBL_MANT_DIG == 64 +static const union IEEEl2bits +u_ln2 = LD80C(0xb17217f7d1cf79ac, -1, 6.93147180559945309417e-1L); +#define ln2 u_ln2.e +#elif LDBL_MANT_DIG == 113 +static const long double +ln2 = 6.93147180559945309417232121458176568e-1L; /* 0x162e42fefa39ef35793c7673007e6.0p-113 */ +#else +#error "Unsupported long double format" +#endif + +long double +asinhl(long double x) +{ + long double t, w; + uint16_t hx, ix; + + ENTERI(); + GET_LDBL_EXPSIGN(hx, x); + ix = hx & 0x7fff; + if (ix >= 0x7fff) RETURNI(x+x); /* x is inf, NaN or misnormal */ + if (ix < BIAS + EXP_TINY) { /* |x| < TINY, or misnormal */ + if (huge + x > one) RETURNI(x); /* return x inexact except 0 */ + } + if (ix >= BIAS + EXP_LARGE) { /* |x| >= LARGE, or misnormal */ + w = logl(fabsl(x))+ln2; + } else if (ix >= 0x4000) { /* LARGE > |x| >= 2.0, or misnormal */ + t = fabsl(x); + w = logl(2.0*t+one/(sqrtl(x*x+one)+t)); + } else { /* 2.0 > |x| >= TINY, or misnormal */ + t = x*x; + w =log1pl(fabsl(x)+t/(one+sqrtl(one+t))); + } + RETURNI((hx & 0x8000) == 0 ? w : -w); +} |
