diff options
Diffstat (limited to 'sysdeps/ieee754/ldbl-96')
-rw-r--r-- | sysdeps/ieee754/ldbl-96/e_acoshl.c | 19 | ||||
-rw-r--r-- | sysdeps/ieee754/ldbl-96/e_asinl.c | 7 | ||||
-rw-r--r-- | sysdeps/ieee754/ldbl-96/e_atan2l.c | 29 | ||||
-rw-r--r-- | sysdeps/ieee754/ldbl-96/e_atanhl.c | 23 | ||||
-rw-r--r-- | sysdeps/ieee754/ldbl-96/e_coshl.c | 46 | ||||
-rw-r--r-- | sysdeps/ieee754/ldbl-96/e_gammal_r.c | 13 | ||||
-rw-r--r-- | sysdeps/ieee754/ldbl-96/e_hypotl.c | 17 | ||||
-rw-r--r-- | sysdeps/ieee754/ldbl-96/e_j0l.c | 138 | ||||
-rw-r--r-- | sysdeps/ieee754/ldbl-96/e_j1l.c | 156 | ||||
-rw-r--r-- | sysdeps/ieee754/ldbl-96/e_jnl.c | 41 | ||||
-rw-r--r-- | sysdeps/ieee754/ldbl-96/e_lgammal_r.c | 30 | ||||
-rw-r--r-- | sysdeps/ieee754/ldbl-96/e_remainderl.c | 23 | ||||
-rw-r--r-- | sysdeps/ieee754/ldbl-96/e_sinhl.c | 21 | ||||
-rw-r--r-- | sysdeps/ieee754/ldbl-96/s_asinhl.c | 22 |
14 files changed, 130 insertions, 455 deletions
diff --git a/sysdeps/ieee754/ldbl-96/e_acoshl.c b/sysdeps/ieee754/ldbl-96/e_acoshl.c index 5d4fa1deda..6f709b7bdf 100644 --- a/sysdeps/ieee754/ldbl-96/e_acoshl.c +++ b/sysdeps/ieee754/ldbl-96/e_acoshl.c @@ -14,10 +14,6 @@ * ==================================================== */ -#if defined(LIBM_SCCS) && !defined(lint) -static char rcsid[] = "$NetBSD: $"; -#endif - /* __ieee754_acoshl(x) * Method : * Based on @@ -35,20 +31,12 @@ static char rcsid[] = "$NetBSD: $"; #include "math.h" #include "math_private.h" -#ifdef __STDC__ static const long double -#else -static long double -#endif one = 1.0, ln2 = 6.931471805599453094287e-01L; /* 0x3FFE, 0xB17217F7, 0xD1CF79AC */ -#ifdef __STDC__ - long double __ieee754_acoshl(long double x) -#else - long double __ieee754_acoshl(x) - long double x; -#endif +long double +__ieee754_acoshl(long double x) { long double t; u_int32_t se,i0,i1; @@ -57,7 +45,7 @@ ln2 = 6.931471805599453094287e-01L; /* 0x3FFE, 0xB17217F7, 0xD1CF79AC */ return (x-x)/(x-x); } else if(se >=0x401d) { /* x > 2**30 */ if(se >=0x7fff) { /* x is inf of NaN */ - return x+x; + return x+x; } else return __ieee754_logl(x)+ln2; /* acoshl(huge)=logl(2x) */ } else if(((se-0x3fff)|i0|i1)==0) { @@ -70,3 +58,4 @@ ln2 = 6.931471805599453094287e-01L; /* 0x3FFE, 0xB17217F7, 0xD1CF79AC */ return __log1pl(t+__sqrtl(2.0*t+t*t)); } } +strong_alias (__ieee754_acoshl, __acoshl_finite) diff --git a/sysdeps/ieee754/ldbl-96/e_asinl.c b/sysdeps/ieee754/ldbl-96/e_asinl.c index 1cad623d43..d813039311 100644 --- a/sysdeps/ieee754/ldbl-96/e_asinl.c +++ b/sysdeps/ieee754/ldbl-96/e_asinl.c @@ -12,9 +12,9 @@ /* Long double expansions are Copyright (C) 2001 Stephen L. Moshier <moshier@na-net.ornl.gov> - and are incorporated herein by permission of the author. The author + and are incorporated herein by permission of the author. The author reserves the right to distribute this material elsewhere under different - copying permissions. These modifications are distributed here under + copying permissions. These modifications are distributed here under the following terms: This library is free software; you can redistribute it and/or @@ -45,7 +45,7 @@ * = pio2_hi - (2*(s+s*z*R(z)) - pio2_lo) * For x<=0.98, let pio4_hi = pio2_hi/2, then * f = hi part of s; - * c = sqrt(z) - f = (z-f*f)/(s+f) ...f+c=sqrt(z) + * c = sqrt(z) - f = (z-f*f)/(s+f) ...f+c=sqrt(z) * and * asin(x) = pi/2 - 2*(s+s*z*R(z)) * = pio4_hi+(pio4-2s)-(2s*z*R(z)-pio2_lo) @@ -159,3 +159,4 @@ __ieee754_asinl (x) else return -t; } +strong_alias (__ieee754_asinl, __asinl_finite) diff --git a/sysdeps/ieee754/ldbl-96/e_atan2l.c b/sysdeps/ieee754/ldbl-96/e_atan2l.c index 0759458c2f..535d0d6123 100644 --- a/sysdeps/ieee754/ldbl-96/e_atan2l.c +++ b/sysdeps/ieee754/ldbl-96/e_atan2l.c @@ -14,15 +14,11 @@ * ==================================================== */ -#if defined(LIBM_SCCS) && !defined(lint) -static char rcsid[] = "$NetBSD: $"; -#endif - /* __ieee754_atan2l(y,x) * Method : * 1. Reduce y to positive by atan2(y,x)=-atan2(-y,x). * 2. Reduce x to positive by (if x and y are unexceptional): - * ARG (x+iy) = arctan(y/x) ... if x > 0, + * ARG (x+iy) = arctan(y/x) ... if x > 0, * ARG (x+iy) = pi - arctan[y/(-x)] ... if x < 0, * * Special cases: @@ -48,11 +44,7 @@ static char rcsid[] = "$NetBSD: $"; #include "math.h" #include "math_private.h" -#ifdef __STDC__ static const long double -#else -static long double -#endif tiny = 1.0e-4900L, zero = 0.0, pi_o_4 = 7.85398163397448309628202E-01L, /* 0x3FFE, 0xC90FDAA2, 0x2168C235 */ @@ -60,12 +52,8 @@ pi_o_2 = 1.5707963267948966192564E+00L, /* 0x3FFF, 0xC90FDAA2, 0x2168C235 */ pi = 3.14159265358979323851281E+00L, /* 0x4000, 0xC90FDAA2, 0x2168C235 */ pi_lo = -5.01655761266833202345176e-20L;/* 0xBFBE, 0xECE675D1, 0xFC8F8CBB */ -#ifdef __STDC__ - long double __ieee754_atan2l(long double y, long double x) -#else - long double __ieee754_atan2l(y,x) - long double y,x; -#endif +long double +__ieee754_atan2l (long double y, long double x) { long double z; int32_t k,m,hx,hy,ix,iy; @@ -87,7 +75,7 @@ pi_lo = -5.01655761266833202345176e-20L;/* 0xBFBE, 0xECE675D1, 0xFC8F8CBB */ if((iy|ly)==0) { switch(m) { case 0: - case 1: return y; /* atan(+-0,+anything)=+-0 */ + case 1: return y; /* atan(+-0,+anything)=+-0 */ case 2: return pi+tiny;/* atan(+0,-anything) = pi */ case 3: return -pi-tiny;/* atan(-0,-anything) =-pi */ } @@ -118,19 +106,20 @@ pi_lo = -5.01655761266833202345176e-20L;/* 0xBFBE, 0xECE675D1, 0xFC8F8CBB */ /* compute y/x */ k = sy-sx; - if(k > 70) z=pi_o_2+0.5*pi_lo; /* |y/x| > 2**70 */ - else if(sx>=0x8000&&k<-70) z=0.0; /* |y|/x < -2**70 */ + if(k > 70) z=pi_o_2+0.5*pi_lo; /* |y/x| > 2**70 */ + else if(sx>=0x8000&&k<-70) z=0.0; /* |y|/x < -2**70 */ else z=__atanl(fabsl(y/x)); /* safe to do y/x */ switch (m) { case 0: return z ; /* atan(+,+) */ case 1: { - u_int32_t sz; + u_int32_t sz; GET_LDOUBLE_EXP(sz,z); SET_LDOUBLE_EXP(z,sz ^ 0x8000); } return z ; /* atan(-,+) */ case 2: return pi-(z-pi_lo);/* atan(+,-) */ default: /* case 3 */ - return (z-pi_lo)-pi;/* atan(-,-) */ + return (z-pi_lo)-pi;/* atan(-,-) */ } } +strong_alias (__ieee754_atan2l, __atan2l_finite) diff --git a/sysdeps/ieee754/ldbl-96/e_atanhl.c b/sysdeps/ieee754/ldbl-96/e_atanhl.c index fdcd1e9fe8..5a2aebef3e 100644 --- a/sysdeps/ieee754/ldbl-96/e_atanhl.c +++ b/sysdeps/ieee754/ldbl-96/e_atanhl.c @@ -14,10 +14,6 @@ * ==================================================== */ -#if defined(LIBM_SCCS) && !defined(lint) -static char rcsid[] = "$NetBSD: $"; -#endif - /* __ieee754_atanhl(x) * Method : * 1.Reduced x to positive by atanh(-x) = -atanh(x) @@ -26,7 +22,7 @@ static char rcsid[] = "$NetBSD: $"; * atanhl(x) = --- * log(1 + -------) = 0.5 * log1p(2 * --------) * 2 1 - x 1 - x * - * For x<0.5 + * For x<0.5 * atanhl(x) = 0.5*log1pl(2x+2x*x/(1-x)) * * Special cases: @@ -39,24 +35,12 @@ static char rcsid[] = "$NetBSD: $"; #include "math.h" #include "math_private.h" -#ifdef __STDC__ static const long double one = 1.0, huge = 1e4900L; -#else -static long double one = 1.0, huge = 1e4900L; -#endif -#ifdef __STDC__ static const long double zero = 0.0; -#else -static double long zero = 0.0; -#endif -#ifdef __STDC__ - long double __ieee754_atanhl(long double x) -#else - long double __ieee754_atanhl(x) - long double x; -#endif +long double +__ieee754_atanhl(long double x) { long double t; int32_t ix; @@ -77,3 +61,4 @@ static double long zero = 0.0; t = 0.5*__log1pl((x+x)/(one-x)); if(se<=0x7fff) return t; else return -t; } +strong_alias (__ieee754_atanhl, __atanhl_finite) diff --git a/sysdeps/ieee754/ldbl-96/e_coshl.c b/sysdeps/ieee754/ldbl-96/e_coshl.c index 8c38fa4da2..6113f0719f 100644 --- a/sysdeps/ieee754/ldbl-96/e_coshl.c +++ b/sysdeps/ieee754/ldbl-96/e_coshl.c @@ -18,13 +18,13 @@ static char rcsid[] = "$NetBSD: e_cosh.c,v 1.7 1995/05/10 20:44:58 jtc Exp $"; * mathematically coshl(x) if defined to be (exp(x)+exp(-x))/2 * 1. Replace x by |x| (coshl(x) = coshl(-x)). * 2. - * [ exp(x) - 1 ]^2 + * [ exp(x) - 1 ]^2 * 0 <= x <= ln2/2 : coshl(x) := 1 + ------------------- - * 2*exp(x) + * 2*exp(x) * - * exp(x) + 1/exp(x) + * exp(x) + 1/exp(x) * ln2/2 <= x <= 22 : coshl(x) := ------------------- - * 2 + * 2 * 22 <= x <= lnovft : coshl(x) := expl(x)/2 * lnovft <= x <= ln2ovft: coshl(x) := expl(x/2)/2 * expl(x/2) * ln2ovft < x : coshl(x) := huge*huge (overflow) @@ -37,18 +37,10 @@ static char rcsid[] = "$NetBSD: e_cosh.c,v 1.7 1995/05/10 20:44:58 jtc Exp $"; #include "math.h" #include "math_private.h" -#ifdef __STDC__ static const long double one = 1.0, half=0.5, huge = 1.0e4900L; -#else -static long double one = 1.0, half=0.5, huge = 1.0e4900L; -#endif -#ifdef __STDC__ - long double __ieee754_coshl(long double x) -#else - long double __ieee754_coshl(x) - long double x; -#endif +long double +__ieee754_coshl (long double x) { long double t,w; int32_t ex; @@ -58,19 +50,17 @@ static long double one = 1.0, half=0.5, huge = 1.0e4900L; GET_LDOUBLE_WORDS(ex,mx,lx,x); ex &= 0x7fff; - /* x is INF or NaN */ - if(ex==0x7fff) return x*x; - - /* |x| in [0,0.5*ln2], return 1+expm1l(|x|)^2/(2*expl(|x|)) */ - if(ex < 0x3ffd || (ex == 0x3ffd && mx < 0xb17217f7u)) { - t = __expm1l(fabsl(x)); - w = one+t; - if (ex<0x3fbc) return w; /* cosh(tiny) = 1 */ - return one+(t*t)/(w+w); - } - - /* |x| in [0.5*ln2,22], return (exp(|x|)+1/exp(|x|)/2; */ + /* |x| in [0,22] */ if (ex < 0x4003 || (ex == 0x4003 && mx < 0xb0000000u)) { + /* |x| in [0,0.5*ln2], return 1+expm1l(|x|)^2/(2*expl(|x|)) */ + if(ex < 0x3ffd || (ex == 0x3ffd && mx < 0xb17217f7u)) { + t = __expm1l(fabsl(x)); + w = one+t; + if (ex<0x3fbc) return w; /* cosh(tiny) = 1 */ + return one+(t*t)/(w+w); + } + + /* |x| in [0.5*ln2,22], return (exp(|x|)+1/exp(|x|)/2; */ t = __ieee754_expl(fabsl(x)); return half*t+half/t; } @@ -88,6 +78,10 @@ static long double one = 1.0, half=0.5, huge = 1.0e4900L; return t*w; } + /* x is INF or NaN */ + if(ex==0x7fff) return x*x; + /* |x| >= log(2*maxdouble), cosh(x) overflow */ return huge*huge; } +strong_alias (__ieee754_coshl, __coshl_finite) diff --git a/sysdeps/ieee754/ldbl-96/e_gammal_r.c b/sysdeps/ieee754/ldbl-96/e_gammal_r.c index dd956fed95..40c18ea584 100644 --- a/sysdeps/ieee754/ldbl-96/e_gammal_r.c +++ b/sysdeps/ieee754/ldbl-96/e_gammal_r.c @@ -1,5 +1,5 @@ /* Implementation of gamma function according to ISO C. - Copyright (C) 1997, 1999, 2001, 2003, 2004 Free Software Foundation, Inc. + Copyright (C) 1997,1999,2001,2003,2004,2011 Free Software Foundation, Inc. This file is part of the GNU C Library. Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997. @@ -32,25 +32,27 @@ __ieee754_gammal_r (long double x, int *signgamp) GET_LDOUBLE_WORDS (es, hx, lx, x); - if (((es & 0x7fff) | hx | lx) == 0) + if (__builtin_expect (((es & 0x7fff) | hx | lx) == 0, 0)) { /* Return value for x == 0 is Inf with divide by zero exception. */ *signgamp = 0; return 1.0 / x; } - if (es == 0xffffffff && ((hx & 0x7fffffff) | lx) == 0) + if (__builtin_expect (es == 0xffffffff && ((hx & 0x7fffffff) | lx) == 0, 0)) { /* x == -Inf. According to ISO this is NaN. */ *signgamp = 0; return x - x; } - if ((es & 0x7fff) == 0x7fff && ((hx & 0x7fffffff) | lx) != 0) + if (__builtin_expect ((es & 0x7fff) == 0x7fff, 0) + && ((hx & 0x7fffffff) | lx) != 0) { /* NaN, return it. */ *signgamp = 0; return x; } - if ((es & 0x8000) != 0 && x < 0xffffffff && __rintl (x) == x) + if (__builtin_expect ((es & 0x8000) != 0, 0) + && x < 0xffffffff && __rintl (x) == x) { /* Return value for integer x < 0 is NaN with invalid exception. */ *signgamp = 0; @@ -60,3 +62,4 @@ __ieee754_gammal_r (long double x, int *signgamp) /* XXX FIXME. */ return __ieee754_expl (__ieee754_lgammal_r (x, signgamp)); } +strong_alias (__ieee754_gammal_r, __gammal_r_finite) diff --git a/sysdeps/ieee754/ldbl-96/e_hypotl.c b/sysdeps/ieee754/ldbl-96/e_hypotl.c index 1a40c556dc..a59320b067 100644 --- a/sysdeps/ieee754/ldbl-96/e_hypotl.c +++ b/sysdeps/ieee754/ldbl-96/e_hypotl.c @@ -14,10 +14,6 @@ * ==================================================== */ -#if defined(LIBM_SCCS) && !defined(lint) -static char rcsid[] = "$NetBSD: $"; -#endif - /* __ieee754_hypotl(x,y) * * Method : @@ -46,8 +42,8 @@ static char rcsid[] = "$NetBSD: $"; * hypot(x,y) is NAN if x or y is NAN. * * Accuracy: - * hypot(x,y) returns sqrt(x^2+y^2) with error less - * than 1 ulps (units in the last place) + * hypot(x,y) returns sqrt(x^2+y^2) with error less + * than 1 ulps (units in the last place) */ #include "math.h" @@ -72,7 +68,7 @@ static char rcsid[] = "$NetBSD: $"; SET_LDOUBLE_EXP(b,eb); /* b <- |b| */ if((ea-eb)>0x46) {return a+b;} /* x/y > 2**70 */ k=0; - if(ea > 0x5f3f) { /* a>2**8000 */ + if(__builtin_expect(ea > 0x5f3f,0)) { /* a>2**8000 */ if(ea == 0x7fff) { /* Inf or NaN */ u_int32_t exp,high,low; w = a+b; /* for sNaN */ @@ -87,9 +83,9 @@ static char rcsid[] = "$NetBSD: $"; SET_LDOUBLE_EXP(a,ea); SET_LDOUBLE_EXP(b,eb); } - if(eb < 0x20bf) { /* b < 2**-8000 */ + if(__builtin_expect(eb < 0x20bf, 0)) { /* b < 2**-8000 */ if(eb == 0) { /* subnormal b or 0 */ - u_int32_t exp,high,low; + u_int32_t exp,high,low; GET_LDOUBLE_WORDS(exp,high,low,b); if((high|low)==0) return a; SET_LDOUBLE_WORDS(t1, 0x7ffd, 0, 0); /* t1=2^16382 */ @@ -97,7 +93,7 @@ static char rcsid[] = "$NetBSD: $"; a *= t1; k -= 16382; } else { /* scale a and b by 2^9600 */ - ea += 0x2580; /* a *= 2^9600 */ + ea += 0x2580; /* a *= 2^9600 */ eb += 0x2580; /* b *= 2^9600 */ k -= 9600; SET_LDOUBLE_EXP(a,ea); @@ -131,3 +127,4 @@ static char rcsid[] = "$NetBSD: $"; return t1*w; } else return w; } +strong_alias (__ieee754_hypotl, __hypotl_finite) diff --git a/sysdeps/ieee754/ldbl-96/e_j0l.c b/sysdeps/ieee754/ldbl-96/e_j0l.c index 12c906bcbc..ce1f0f7563 100644 --- a/sysdeps/ieee754/ldbl-96/e_j0l.c +++ b/sysdeps/ieee754/ldbl-96/e_j0l.c @@ -11,9 +11,9 @@ /* Long double expansions are Copyright (C) 2001 Stephen L. Moshier <moshier@na-net.ornl.gov> - and are incorporated herein by permission of the author. The author + and are incorporated herein by permission of the author. The author reserves the right to distribute this material elsewhere under different - copying permissions. These modifications are distributed here under + copying permissions. These modifications are distributed here under the following terms: This library is free software; you can redistribute it and/or @@ -74,17 +74,9 @@ #include "math.h" #include "math_private.h" -#ifdef __STDC__ static long double pzero (long double), qzero (long double); -#else -static long double pzero (), qzero (); -#endif -#ifdef __STDC__ static const long double -#else -static long double -#endif huge = 1e4930L, one = 1.0L, invsqrtpi = 5.6418958354775628694807945156077258584405e-1L, @@ -109,20 +101,10 @@ static long double /* 1.000000000000000000000000000000000000000E0L,*/ }; -#ifdef __STDC__ static const long double zero = 0.0; -#else -static long double zero = 0.0; -#endif -#ifdef __STDC__ long double __ieee754_j0l (long double x) -#else -long double -__ieee754_j0l (x) - long double x; -#endif { long double z, s, c, ss, cc, r, u, v; int32_t ix; @@ -130,7 +112,7 @@ __ieee754_j0l (x) GET_LDOUBLE_WORDS (se, i0, i1, x); ix = se & 0x7fff; - if (ix >= 0x7fff) + if (__builtin_expect (ix >= 0x7fff, 0)) return one / (x * x); x = fabsl (x); if (ix >= 0x4000) /* |x| >= 2.0 */ @@ -150,7 +132,7 @@ __ieee754_j0l (x) * j0(x) = 1/sqrt(pi) * (P(0,x)*cc - Q(0,x)*ss) / sqrt(x) * y0(x) = 1/sqrt(pi) * (P(0,x)*ss + Q(0,x)*cc) / sqrt(x) */ - if (ix > 0x4080) /* 2^129 */ + if (__builtin_expect (ix > 0x4080, 0)) /* 2^129 */ z = (invsqrtpi * cc) / __ieee754_sqrtl (x); else { @@ -160,7 +142,7 @@ __ieee754_j0l (x) } return z; } - if (ix < 0x3fef) /* |x| < 2**-16 */ + if (__builtin_expect (ix < 0x3fef, 0)) /* |x| < 2**-16 */ { if (huge + x > one) { /* raise inexact if x != 0 */ @@ -183,16 +165,13 @@ __ieee754_j0l (x) return ((one + u) * (one - u) + z * (r / s)); } } +strong_alias (__ieee754_j0l, __j0l_finite) /* y0(x) = 2/pi ln(x) J0(x) + U(x^2)/V(x^2) 0 < x <= 2 peak relative error 1.7e-21 */ -#ifdef __STDC__ static const long double -#else -static long double -#endif U[6] = { -1.054912306975785573710813351985351350861E10L, 2.520192609749295139432773849576523636127E10L, @@ -201,11 +180,7 @@ U[6] = { -3.440684087134286610316661166492641011539E5L, 1.005524356159130626192144663414848383774E3L, }; -#ifdef __STDC__ static const long double -#else -static long double -#endif V[5] = { 1.429337283720789610137291929228082613676E11L, 2.492593075325119157558811370165695013002E9L, @@ -215,14 +190,8 @@ V[5] = { /* 1.000000000000000000000000000000000000000E0L */ }; -#ifdef __STDC__ long double __ieee754_y0l (long double x) -#else -long double -__ieee754_y0l (x) - long double x; -#endif { long double z, s, c, ss, cc, u, v; int32_t ix; @@ -231,11 +200,11 @@ __ieee754_y0l (x) GET_LDOUBLE_WORDS (se, i0, i1, x); ix = se & 0x7fff; /* Y0(NaN) is NaN, y0(-inf) is Nan, y0(inf) is 0 */ - if (se & 0x8000) + if (__builtin_expect (se & 0x8000, 0)) return zero / (zero * x); - if (ix >= 0x7fff) + if (__builtin_expect (ix >= 0x7fff, 0)) return one / (x + x * x); - if ((i0 | i1) == 0) + if (__builtin_expect ((i0 | i1) == 0, 0)) return -HUGE_VALL + x; /* -inf and overflow exception. */ if (ix >= 0x4000) { /* |x| >= 2.0 */ @@ -266,7 +235,7 @@ __ieee754_y0l (x) else ss = z / cc; } - if (ix > 0x4080) /* 1e39 */ + if (__builtin_expect (ix > 0x4080, 0)) /* 1e39 */ z = (invsqrtpi * ss) / __ieee754_sqrtl (x); else { @@ -276,7 +245,7 @@ __ieee754_y0l (x) } return z; } - if (ix <= 0x3fde) /* x < 2^-33 */ + if (__builtin_expect (ix <= 0x3fde, 0)) /* x < 2^-33 */ { z = -7.380429510868722527629822444004602747322E-2L + tpi * __ieee754_logl (x); @@ -287,17 +256,14 @@ __ieee754_y0l (x) v = V[0] + z * (V[1] + z * (V[2] + z * (V[3] + z * (V[4] + z)))); return (u / v + tpi * (__ieee754_j0l (x) * __ieee754_logl (x))); } +strong_alias (__ieee754_y0l, __y0l_finite) /* The asymptotic expansions of pzero is * 1 - 9/128 s^2 + 11025/98304 s^4 - ..., where s = 1/x. * For x >= 2, We approximate pzero by * pzero(x) = 1 + s^2 R(s^2) / S(s^2) */ -#ifdef __STDC__ static const long double pR8[7] = { -#else -static long double pR8[7] = { -#endif /* 8 <= x <= inf Peak relative error 4.62 */ -4.094398895124198016684337960227780260127E-9L, @@ -308,11 +274,7 @@ static long double pR8[7] = { -5.827178869301452892963280214772398135283E-2L, -2.087563267939546435460286895807046616992E-2L, }; -#ifdef __STDC__ static const long double pS8[6] = { -#else -static long double pS8[6] = { -#endif 5.823145095287749230197031108839653988393E-8L, 1.279281986035060320477759999428992730280E-5L, 9.132668954726626677174825517150228961304E-4L, @@ -322,11 +284,7 @@ static long double pS8[6] = { /* 1.000000000000000000000000000000000000000E0L, */ }; -#ifdef __STDC__ static const long double pR5[7] = { -#else -static long double pR5[7] = { -#endif /* 4.54541015625 <= x <= 8 Peak relative error 6.51E-22 */ -2.041226787870240954326915847282179737987E-7L, @@ -337,11 +295,7 @@ static long double pR5[7] = { -8.641175552716402616180994954177818461588E-2L, -1.354654710097134007437166939230619726157E-2L, }; -#ifdef __STDC__ static const long double pS5[6] = { -#else -static long double pS5[6] = { -#endif 2.903078099681108697057258628212823545290E-6L, 3.253948449946735405975737677123673867321E-4L, 1.181269751723085006534147920481582279979E-2L, @@ -351,11 +305,7 @@ static long double pS5[6] = { /* 1.000000000000000000000000000000000000000E0L, */ }; -#ifdef __STDC__ static const long double pR3[7] = { -#else -static long double pR3[7] = { -#endif /* 2.85711669921875 <= x <= 4.54541015625 peak relative error 5.25e-21 */ -5.755732156848468345557663552240816066802E-6L, @@ -366,11 +316,7 @@ static long double pR3[7] = { -1.193350853469302941921647487062620011042E-1L, -8.567802507331578894302991505331963782905E-3L, }; -#ifdef __STDC__ static const long double pS3[6] = { -#else -static long double pS3[6] = { -#endif 8.185931139070086158103309281525036712419E-5L, 5.398016943778891093520574483111255476787E-3L, 1.130589193590489566669164765853409621081E-1L, @@ -380,11 +326,7 @@ static long double pS3[6] = { /* 1.000000000000000000000000000000000000000E0L, */ }; -#ifdef __STDC__ static const long double pR2[7] = { -#else -static long double pR2[7] = { -#endif /* 2 <= x <= 2.85711669921875 peak relative error 2.64e-21 */ -1.219525235804532014243621104365384992623E-4L, @@ -395,11 +337,7 @@ static long double pR2[7] = { -1.556241316844728872406672349347137975495E-1L, -5.355423239526452209595316733635519506958E-3L, }; -#ifdef __STDC__ static const long double pS2[6] = { -#else -static long double pS2[6] = { -#endif 1.734442793664291412489066256138894953823E-3L, 7.158111826468626405416300895617986926008E-2L, 9.153839713992138340197264669867993552641E-1L, @@ -409,20 +347,10 @@ static long double pS2[6] = { /* 1.000000000000000000000000000000000000000E0L, */ }; -#ifdef __STDC__ static long double pzero (long double x) -#else -static long double -pzero (x) - long double x; -#endif { -#ifdef __STDC__ const long double *p, *q; -#else - long double *p, *q; -#endif long double z, r, s; int32_t ix; u_int32_t se, i0, i1; @@ -468,11 +396,7 @@ pzero (x) * We approximate qzero by * qzero(x) = s*(-.125 + R(s^2) / S(s^2)) */ -#ifdef __STDC__ static const long double qR8[7] = { -#else -static long double qR8[7] = { -#endif /* 8 <= x <= inf peak relative error 2.23e-21 */ 3.001267180483191397885272640777189348008E-10L, @@ -483,11 +407,7 @@ static long double qR8[7] = { 3.881970028476167836382607922840452192636E-2L, 6.132191514516237371140841765561219149638E-2L, }; -#ifdef __STDC__ static const long double qS8[7] = { -#else -static long double qS8[7] = { -#endif 4.097730123753051126914971174076227600212E-9L, 1.199615869122646109596153392152131139306E-6L, 1.196337580514532207793107149088168946451E-4L, @@ -498,11 +418,7 @@ static long double qS8[7] = { /* 1.000000000000000000000000000000000000000E0L, */ }; -#ifdef __STDC__ static const long double qR5[7] = { -#else -static long double qR5[7] = { -#endif /* 4.54541015625 <= x <= 8 peak relative error 1.03e-21 */ 3.406256556438974327309660241748106352137E-8L, @@ -513,11 +429,7 @@ static long double qR5[7] = { 1.071578819056574524416060138514508609805E-1L, 7.458950172851611673015774675225656063757E-2L, }; -#ifdef __STDC__ static const long double qS5[7] = { -#else -static long double qS5[7] = { -#endif 4.650675622764245276538207123618745150785E-7L, 6.773573292521412265840260065635377164455E-5L, 3.340711249876192721980146877577806687714E-3L, @@ -528,11 +440,7 @@ static long double qS5[7] = { /* 1.000000000000000000000000000000000000000E0L,*/ }; -#ifdef __STDC__ static const long double qR3[7] = { -#else -static long double qR3[7] = { -#endif /* 2.85711669921875 <= x <= 4.54541015625 peak relative error 5.24e-21 */ 1.749459596550816915639829017724249805242E-6L, @@ -543,11 +451,7 @@ static long double qR3[7] = { 2.538595333972857367655146949093055405072E-1L, 8.560591367256769038905328596020118877936E-2L, }; -#ifdef __STDC__ static const long double qS3[7] = { -#else -static long double qS3[7] = { -#endif 2.388596091707517488372313710647510488042E-5L, 2.048679968058758616370095132104333998147E-3L, 5.824663198201417760864458765259945181513E-2L, @@ -558,11 +462,7 @@ static long double qS3[7] = { /* 1.000000000000000000000000000000000000000E0L, */ }; -#ifdef __STDC__ static const long double qR2[7] = { -#else -static long double qR2[7] = { -#endif /* 2 <= x <= 2.85711669921875 peak relative error 1.58e-21 */ 6.306524405520048545426928892276696949540E-5L, @@ -573,11 +473,7 @@ static long double qR2[7] = { 5.431871999743531634887107835372232030655E-1L, 9.447736151202905471899259026430157211949E-2L, }; -#ifdef __STDC__ static const long double qS2[7] = { -#else -static long double qS2[7] = { -#endif 8.610579901936193494609755345106129102676E-4L, 4.649054352710496997203474853066665869047E-2L, 8.104282924459837407218042945106320388339E-1L, @@ -588,20 +484,10 @@ static long double qS2[7] = { /* 1.000000000000000000000000000000000000000E0L, */ }; -#ifdef __STDC__ static long double qzero (long double x) -#else -static long double -qzero (x) - long double x; -#endif { -#ifdef __STDC__ const long double *p, *q; -#else - long double *p, *q; -#endif long double s, r, z; int32_t ix; u_int32_t se, i0, i1; diff --git a/sysdeps/ieee754/ldbl-96/e_j1l.c b/sysdeps/ieee754/ldbl-96/e_j1l.c index 62a8ce0cb7..369fd830fe 100644 --- a/sysdeps/ieee754/ldbl-96/e_j1l.c +++ b/sysdeps/ieee754/ldbl-96/e_j1l.c @@ -11,9 +11,9 @@ /* Long double expansions are Copyright (C) 2001 Stephen L. Moshier <moshier@na-net.ornl.gov> - and are incorporated herein by permission of the author. The author + and are incorporated herein by permission of the author. The author reserves the right to distribute this material elsewhere under different - copying permissions. These modifications are distributed here under + copying permissions. These modifications are distributed here under the following terms: This library is free software; you can redistribute it and/or @@ -38,17 +38,17 @@ * for x in (0,2) * j1(x) = x/2 + x*z*R0/S0, where z = x*x; * for x in (2,inf) - * j1(x) = sqrt(2/(pi*x))*(p1(x)*cos(x1)-q1(x)*sin(x1)) - * y1(x) = sqrt(2/(pi*x))*(p1(x)*sin(x1)+q1(x)*cos(x1)) - * where x1 = x-3*pi/4. It is better to compute sin(x1),cos(x1) + * j1(x) = sqrt(2/(pi*x))*(p1(x)*cos(x1)-q1(x)*sin(x1)) + * y1(x) = sqrt(2/(pi*x))*(p1(x)*sin(x1)+q1(x)*cos(x1)) + * where x1 = x-3*pi/4. It is better to compute sin(x1),cos(x1) * as follow: * cos(x1) = cos(x)cos(3pi/4)+sin(x)sin(3pi/4) * = 1/sqrt(2) * (sin(x) - cos(x)) * sin(x1) = sin(x)cos(3pi/4)-cos(x)sin(3pi/4) * = -1/sqrt(2) * (sin(x) + cos(x)) - * (To avoid cancellation, use + * (To avoid cancellation, use * sin(x) +- cos(x) = -cos(2x)/(sin(x) -+ cos(x)) - * to compute the worse one.) + * to compute the worse one.) * * 3 Special cases * j1(nan)= nan @@ -66,25 +66,17 @@ * Note: For tiny x, 1/x dominate y1 and hence * y1(tiny) = -2/pi/tiny * 3. For x>=2. - * y1(x) = sqrt(2/(pi*x))*(p1(x)*sin(x1)+q1(x)*cos(x1)) - * where x1 = x-3*pi/4. It is better to compute sin(x1),cos(x1) + * y1(x) = sqrt(2/(pi*x))*(p1(x)*sin(x1)+q1(x)*cos(x1)) + * where x1 = x-3*pi/4. It is better to compute sin(x1),cos(x1) * by method mentioned above. */ #include "math.h" #include "math_private.h" -#ifdef __STDC__ static long double pone (long double), qone (long double); -#else -static long double pone (), qone (); -#endif -#ifdef __STDC__ static const long double -#else -static long double -#endif huge = 1e4930L, one = 1.0L, invsqrtpi = 5.6418958354775628694807945156077258584405e-1L, @@ -110,21 +102,11 @@ R[5] = { /* 1.000000000000000000000000000000000000000E0L, */ }; -#ifdef __STDC__ static const long double zero = 0.0; -#else -static long double zero = 0.0; -#endif -#ifdef __STDC__ long double __ieee754_j1l (long double x) -#else -long double -__ieee754_j1l (x) - long double x; -#endif { long double z, c, r, s, ss, cc, u, v, y; int32_t ix; @@ -132,7 +114,7 @@ __ieee754_j1l (x) GET_LDOUBLE_WORDS (se, i0, i1, x); ix = se & 0x7fff; - if (ix >= 0x7fff) + if (__builtin_expect (ix >= 0x7fff, 0)) return one / x; y = fabsl (x); if (ix >= 0x4000) @@ -152,7 +134,7 @@ __ieee754_j1l (x) * j1(x) = 1/sqrt(pi) * (P(1,x)*cc - Q(1,x)*ss) / sqrt(x) * y1(x) = 1/sqrt(pi) * (P(1,x)*ss + Q(1,x)*cc) / sqrt(x) */ - if (ix > 0x4080) + if (__builtin_expect (ix > 0x4080, 0)) z = (invsqrtpi * cc) / __ieee754_sqrtl (y); else { @@ -165,7 +147,7 @@ __ieee754_j1l (x) else return z; } - if (ix < 0x3fde) /* |x| < 2^-33 */ + if (__builtin_expect (ix < 0x3fde, 0)) /* |x| < 2^-33 */ { if (huge + x > one) return 0.5 * x; /* inexact if x!=0 necessary */ @@ -176,16 +158,13 @@ __ieee754_j1l (x) r *= x; return (x * 0.5 + r / s); } +strong_alias (__ieee754_j1l, __j1l_finite) /* Y1(x) = 2/pi * (log(x) * j1(x) - 1/x) + x R(x^2) 0 <= x <= 2 Peak relative error 2.3e-23 */ -#ifdef __STDC__ static const long double U0[6] = { -#else -static long double U0[6] = { -#endif -5.908077186259914699178903164682444848615E10L, 1.546219327181478013495975514375773435962E10L, -6.438303331169223128870035584107053228235E8L, @@ -193,11 +172,7 @@ static long double U0[6] = { -6.138043997084355564619377183564196265471E4L, 1.418503228220927321096904291501161800215E2L, }; -#ifdef __STDC__ static const long double V0[5] = { -#else -static long double V0[5] = { -#endif 3.013447341682896694781964795373783679861E11L, 4.669546565705981649470005402243136124523E9L, 3.595056091631351184676890179233695857260E7L, @@ -207,14 +182,8 @@ static long double V0[5] = { }; -#ifdef __STDC__ long double __ieee754_y1l (long double x) -#else -long double -__ieee754_y1l (x) - long double x; -#endif { long double z, s, c, ss, cc, u, v; int32_t ix; @@ -223,11 +192,11 @@ __ieee754_y1l (x) GET_LDOUBLE_WORDS (se, i0, i1, x); ix = se & 0x7fff; /* if Y1(NaN) is NaN, Y1(-inf) is NaN, Y1(inf) is 0 */ - if (se & 0x8000) + if (__builtin_expect (se & 0x8000, 0)) return zero / (zero * x); - if (ix >= 0x7fff) + if (__builtin_expect (ix >= 0x7fff, 0)) return one / (x + x * x); - if ((i0 | i1) == 0) + if (__builtin_expect ((i0 | i1) == 0, 0)) return -HUGE_VALL + x; /* -inf and overflow exception. */ if (ix >= 0x4000) { /* |x| >= 2.0 */ @@ -253,7 +222,7 @@ __ieee754_y1l (x) * sin(x) +- cos(x) = -cos(2x)/(sin(x) -+ cos(x)) * to compute the worse one. */ - if (ix > 0x4080) + if (__builtin_expect (ix > 0x4080, 0)) z = (invsqrtpi * ss) / __ieee754_sqrtl (x); else { @@ -263,7 +232,7 @@ __ieee754_y1l (x) } return z; } - if (ix <= 0x3fbe) + if (__builtin_expect (ix <= 0x3fbe, 0)) { /* x < 2**-65 */ return (-tpi / x); } @@ -273,12 +242,13 @@ __ieee754_y1l (x) return (x * (u / v) + tpi * (__ieee754_j1l (x) * __ieee754_logl (x) - one / x)); } +strong_alias (__ieee754_y1l, __y1l_finite) /* For x >= 8, the asymptotic expansions of pone is * 1 + 15/128 s^2 - 4725/2^15 s^4 - ..., where s = 1/x. * We approximate pone by - * pone(x) = 1 + (R/S) + * pone(x) = 1 + (R/S) */ /* J1(x) cosX + Y1(x) sinX = sqrt( 2/(pi x)) P1(x) @@ -286,11 +256,7 @@ __ieee754_y1l (x) 8 <= x <= inf (0 <= z <= 0.125) Peak relative error 5.2e-22 */ -#ifdef __STDC__ static const long double pr8[7] = { -#else -static long double pr8[7] = { -#endif 8.402048819032978959298664869941375143163E-9L, 1.813743245316438056192649247507255996036E-6L, 1.260704554112906152344932388588243836276E-4L, @@ -299,11 +265,7 @@ static long double pr8[7] = { 1.131111483254318243139953003461511308672E-1L, 4.480715825681029711521286449131671880953E-2L, }; -#ifdef __STDC__ static const long double ps8[6] = { -#else -static long double ps8[6] = { -#endif 7.169748325574809484893888315707824924354E-8L, 1.556549720596672576431813934184403614817E-5L, 1.094540125521337139209062035774174565882E-3L, @@ -317,11 +279,7 @@ static long double ps8[6] = { P1(x) = 1 + z^2 R(z^2), z=1/x 4.54541015625 <= x <= 8 Peak relative error 7.7e-22 */ -#ifdef __STDC__ static const long double pr5[7] = { -#else -static long double pr5[7] = { -#endif 4.318486887948814529950980396300969247900E-7L, 4.715341880798817230333360497524173929315E-5L, 1.642719430496086618401091544113220340094E-3L, @@ -330,11 +288,7 @@ static long double pr5[7] = { 1.755576530055079253910829652698703791957E-1L, 3.218803858282095929559165965353784980613E-2L, }; -#ifdef __STDC__ static const long double ps5[6] = { -#else -static long double ps5[6] = { -#endif 3.685108812227721334719884358034713967557E-6L, 4.069102509511177498808856515005792027639E-4L, 1.449728676496155025507893322405597039816E-2L, @@ -348,11 +302,7 @@ static long double ps5[6] = { P1(x) = 1 + z^2 R(z^2), z=1/x 2.85711669921875 <= x <= 4.54541015625 Peak relative error 6.5e-21 */ -#ifdef __STDC__ static const long double pr3[7] = { -#else -static long double pr3[7] = { -#endif 1.265251153957366716825382654273326407972E-5L, 8.031057269201324914127680782288352574567E-4L, 1.581648121115028333661412169396282881035E-2L, @@ -361,11 +311,7 @@ static long double pr3[7] = { 2.559223765418386621748404398017602935764E-1L, 2.277136933287817911091370397134882441046E-2L, }; -#ifdef __STDC__ static const long double ps3[6] = { -#else -static long double ps3[6] = { -#endif 1.079681071833391818661952793568345057548E-4L, 6.986017817100477138417481463810841529026E-3L, 1.429403701146942509913198539100230540503E-1L, @@ -379,11 +325,7 @@ static long double ps3[6] = { P1(x) = 1 + z^2 R(z^2), z=1/x 2 <= x <= 2.85711669921875 Peak relative error 3.5e-21 */ -#ifdef __STDC__ static const long double pr2[7] = { -#else -static long double pr2[7] = { -#endif 2.795623248568412225239401141338714516445E-4L, 1.092578168441856711925254839815430061135E-2L, 1.278024620468953761154963591853679640560E-1L, @@ -392,11 +334,7 @@ static long double pr2[7] = { 3.544176317308370086415403567097130611468E-1L, 1.604142674802373041247957048801599740644E-2L, }; -#ifdef __STDC__ static const long double ps2[6] = { -#else -static long double ps2[6] = { -#endif 2.385605161555183386205027000675875235980E-3L, 9.616778294482695283928617708206967248579E-2L, 1.195215570959693572089824415393951258510E0L, @@ -407,20 +345,10 @@ static long double ps2[6] = { }; -#ifdef __STDC__ static long double pone (long double x) -#else -static long double -pone (x) - long double x; -#endif { -#ifdef __STDC__ const long double *p, *q; -#else - long double *p, *q; -#endif long double z, r, s; int32_t ix; u_int32_t se, i0, i1; @@ -462,7 +390,7 @@ pone (x) /* For x >= 8, the asymptotic expansions of qone is * 3/8 s - 105/1024 s^3 - ..., where s = 1/x. * We approximate pone by - * qone(x) = s*(0.375 + (R/S)) + * qone(x) = s*(0.375 + (R/S)) */ /* Y1(x)cosX - J1(x)sinX = sqrt( 2/(pi x)) Q1(x), @@ -470,11 +398,7 @@ pone (x) 8 <= x <= inf Peak relative error 8.3e-22 */ -#ifdef __STDC__ static const long double qr8[7] = { -#else -static long double qr8[7] = { -#endif -5.691925079044209246015366919809404457380E-10L, -1.632587664706999307871963065396218379137E-7L, -1.577424682764651970003637263552027114600E-5L, @@ -483,11 +407,7 @@ static long double qr8[7] = { -6.854943629378084419631926076882330494217E-2L, -1.055448290469180032312893377152490183203E-1L, }; -#ifdef __STDC__ static const long double qs8[7] = { -#else -static long double qs8[7] = { -#endif 5.550982172325019811119223916998393907513E-9L, 1.607188366646736068460131091130644192244E-6L, 1.580792530091386496626494138334505893599E-4L, @@ -502,11 +422,7 @@ static long double qs8[7] = { Q1(x) = z(.375 + z^2 R(z^2)), z=1/x 4.54541015625 <= x <= 8 Peak relative error 4.1e-22 */ -#ifdef __STDC__ static const long double qr5[7] = { -#else -static long double qr5[7] = { -#endif -6.719134139179190546324213696633564965983E-8L, -9.467871458774950479909851595678622044140E-6L, -4.429341875348286176950914275723051452838E-4L, @@ -515,11 +431,7 @@ static long double qr5[7] = { -1.964432669771684034858848142418228214855E-1L, -1.333896496989238600119596538299938520726E-1L, }; -#ifdef __STDC__ static const long double qs5[7] = { -#else -static long double qs5[7] = { -#endif 6.552755584474634766937589285426911075101E-7L, 9.410814032118155978663509073200494000589E-5L, 4.561677087286518359461609153655021253238E-3L, @@ -534,11 +446,7 @@ static long double qs5[7] = { Q1(x) = z(.375 + z^2 R(z^2)), z=1/x 2.85711669921875 <= x <= 4.54541015625 Peak relative error 2.2e-21 */ -#ifdef __STDC__ static const long double qr3[7] = { -#else -static long double qr3[7] = { -#endif -3.618746299358445926506719188614570588404E-6L, -2.951146018465419674063882650970344502798E-4L, -7.728518171262562194043409753656506795258E-3L, @@ -547,11 +455,7 @@ static long double qr3[7] = { -4.858192581793118040782557808823460276452E-1L, -1.592399251246473643510898335746432479373E-1L, }; -#ifdef __STDC__ static const long double qs3[7] = { -#else -static long double qs3[7] = { -#endif 3.529139957987837084554591421329876744262E-5L, 2.973602667215766676998703687065066180115E-3L, 8.273534546240864308494062287908662592100E-2L, @@ -566,11 +470,7 @@ static long double qs3[7] = { Q1(x) = z(.375 + z^2 R(z^2)), z=1/x 2 <= x <= 2.85711669921875 Peak relative error 6.9e-22 */ -#ifdef __STDC__ static const long double qr2[7] = { -#else -static long double qr2[7] = { -#endif -1.372751603025230017220666013816502528318E-4L, -6.879190253347766576229143006767218972834E-3L, -1.061253572090925414598304855316280077828E-1L, @@ -579,11 +479,7 @@ static long double qr2[7] = { -1.087955310491078933531734062917489870754E0L, -1.826821119773182847861406108689273719137E-1L, }; -#ifdef __STDC__ static const long double qs2[7] = { -#else -static long double qs2[7] = { -#endif 1.338768933634451601814048220627185324007E-3L, 7.071099998918497559736318523932241901810E-2L, 1.200511429784048632105295629933382142221E0L, @@ -595,20 +491,10 @@ static long double qs2[7] = { }; -#ifdef __STDC__ static long double qone (long double x) -#else -static long double -qone (x) - long double x; -#endif { -#ifdef __STDC__ const long double *p, *q; -#else - long double *p, *q; -#endif static long double s, r, z; int32_t ix; u_int32_t se, i0, i1; diff --git a/sysdeps/ieee754/ldbl-96/e_jnl.c b/sysdeps/ieee754/ldbl-96/e_jnl.c index bedff7d566..3a70e10dbe 100644 --- a/sysdeps/ieee754/ldbl-96/e_jnl.c +++ b/sysdeps/ieee754/ldbl-96/e_jnl.c @@ -11,9 +11,9 @@ /* Modifications for long double are Copyright (C) 2001 Stephen L. Moshier <moshier@na-net.ornl.gov> - and are incorporated herein by permission of the author. The author + and are incorporated herein by permission of the author. The author reserves the right to distribute this material elsewhere under different - copying permissions. These modifications are distributed here under + copying permissions. These modifications are distributed here under the following terms: This library is free software; you can redistribute it and/or @@ -59,28 +59,13 @@ #include "math.h" #include "math_private.h" -#ifdef __STDC__ static const long double -#else -static long double -#endif invsqrtpi = 5.64189583547756286948079e-1L, two = 2.0e0L, one = 1.0e0L; -#ifdef __STDC__ static const long double zero = 0.0L; -#else -static long double zero = 0.0L; -#endif -#ifdef __STDC__ long double __ieee754_jnl (int n, long double x) -#else -long double -__ieee754_jnl (n, x) - int n; - long double x; -#endif { u_int32_t se, i0, i1; int32_t i, ix, sgn; @@ -95,7 +80,7 @@ __ieee754_jnl (n, x) ix = se & 0x7fff; /* if J(n,NaN) is NaN */ - if ((ix == 0x7fff) && ((i0 & 0x7fffffff) != 0)) + if (__builtin_expect ((ix == 0x7fff) && ((i0 & 0x7fffffff) != 0), 0)) return x + x; if (n < 0) { @@ -109,7 +94,8 @@ __ieee754_jnl (n, x) return (__ieee754_j1l (x)); sgn = (n & 1) & (se >> 15); /* even n -- 0, odd n -- sign(x) */ x = fabsl (x); - if ((ix | i0 | i1) == 0 || ix >= 0x7fff) /* if x is 0 or inf */ + if (__builtin_expect ((ix | i0 | i1) == 0 || ix >= 0x7fff, 0)) + /* if x is 0 or inf */ b = zero; else if ((long double) n <= x) { @@ -298,16 +284,10 @@ __ieee754_jnl (n, x) else return b; } +strong_alias (__ieee754_jnl, __jnl_finite) -#ifdef __STDC__ long double __ieee754_ynl (int n, long double x) -#else -long double -__ieee754_ynl (n, x) - int n; - long double x; -#endif { u_int32_t se, i0, i1; int32_t i, ix; @@ -318,11 +298,11 @@ __ieee754_ynl (n, x) GET_LDOUBLE_WORDS (se, i0, i1, x); ix = se & 0x7fff; /* if Y(n,NaN) is NaN */ - if ((ix == 0x7fff) && ((i0 & 0x7fffffff) != 0)) + if (__builtin_expect ((ix == 0x7fff) && ((i0 & 0x7fffffff) != 0), 0)) return x + x; - if ((ix | i0 | i1) == 0) + if (__builtin_expect ((ix | i0 | i1) == 0, 0)) return -HUGE_VALL + x; /* -inf and overflow exception. */ - if (se & 0x8000) + if (__builtin_expect (se & 0x8000, 0)) return zero / (zero * x); sign = 1; if (n < 0) @@ -334,7 +314,7 @@ __ieee754_ynl (n, x) return (__ieee754_y0l (x)); if (n == 1) return (sign * __ieee754_y1l (x)); - if (ix == 0x7fff) + if (__builtin_expect (ix == 0x7fff, 0)) return zero; if (ix >= 0x412D) { /* x > 2**302 */ @@ -393,3 +373,4 @@ __ieee754_ynl (n, x) else return -b; } +strong_alias (__ieee754_ynl, __ynl_finite) diff --git a/sysdeps/ieee754/ldbl-96/e_lgammal_r.c b/sysdeps/ieee754/ldbl-96/e_lgammal_r.c index 36e336565c..8a20e5e135 100644 --- a/sysdeps/ieee754/ldbl-96/e_lgammal_r.c +++ b/sysdeps/ieee754/ldbl-96/e_lgammal_r.c @@ -94,11 +94,7 @@ #include "math.h" #include "math_private.h" -#ifdef __STDC__ static const long double -#else -static long double -#endif half = 0.5L, one = 1.0L, pi = 3.14159265358979323846264L, @@ -204,20 +200,10 @@ static long double w6 = -1.880801938119376907179E-3L, w7 = 4.885026142432270781165E-3L; -#ifdef __STDC__ static const long double zero = 0.0L; -#else -static long double zero = 0.0L; -#endif -#ifdef __STDC__ static long double sin_pi (long double x) -#else -static long double -sin_pi (x) - long double x; -#endif { long double y, z; int n, ix; @@ -283,15 +269,8 @@ sin_pi (x) } -#ifdef __STDC__ long double __ieee754_lgammal_r (long double x, int *signgamp) -#else -long double -__ieee754_lgammal_r (x, signgamp) - long double x; - int *signgamp; -#endif { long double t, y, z, nadj, p, p1, p2, q, r, w; int i, ix; @@ -301,7 +280,7 @@ __ieee754_lgammal_r (x, signgamp) GET_LDOUBLE_WORDS (se, i0, i1, x); ix = se & 0x7fff; - if ((ix | i0 | i1) == 0) + if (__builtin_expect((ix | i0 | i1) == 0, 0)) { if (se & 0x8000) *signgamp = -1; @@ -311,10 +290,10 @@ __ieee754_lgammal_r (x, signgamp) ix = (ix << 16) | (i0 >> 16); /* purge off +-inf, NaN, +-0, and negative arguments */ - if (ix >= 0x7fff0000) + if (__builtin_expect(ix >= 0x7fff0000, 0)) return x * x; - if (ix < 0x3fc08000) /* 2^-63 */ + if (__builtin_expect(ix < 0x3fc08000, 0)) /* 2^-63 */ { /* |x|<2**-63, return -log(|x|) */ if (se & 0x8000) { @@ -438,7 +417,7 @@ __ieee754_lgammal_r (x, signgamp) z = one / x; y = z * z; w = w0 + z * (w1 - + y * (w2 + y * (w3 + y * (w4 + y * (w5 + y * (w6 + y * w7)))))); + + y * (w2 + y * (w3 + y * (w4 + y * (w5 + y * (w6 + y * w7)))))); r = (x - half) * (t - one) + w; } else @@ -448,3 +427,4 @@ __ieee754_lgammal_r (x, signgamp) r = nadj - r; return r; } +strong_alias (__ieee754_lgammal_r, __lgammal_r_finite) diff --git a/sysdeps/ieee754/ldbl-96/e_remainderl.c b/sysdeps/ieee754/ldbl-96/e_remainderl.c index e721a6e8cd..41c4c7b34e 100644 --- a/sysdeps/ieee754/ldbl-96/e_remainderl.c +++ b/sysdeps/ieee754/ldbl-96/e_remainderl.c @@ -14,14 +14,10 @@ * ==================================================== */ -#if defined(LIBM_SCCS) && !defined(lint) -static char rcsid[] = "$NetBSD: $"; -#endif - /* __ieee754_remainderl(x,p) * Return : - * returns x REM p = x - [x/p]*p as if in infinite - * precise arithmetic, where [x/p] is the (infinite bit) + * returns x REM p = x - [x/p]*p as if in infinite + * precise arithmetic, where [x/p] is the (infinite bit) * integer nearest x/p (in half way case choose the even one). * Method : * Based on fmod() return x-[x/p]chopped*p exactlp. @@ -30,19 +26,11 @@ static char rcsid[] = "$NetBSD: $"; #include "math.h" #include "math_private.h" -#ifdef __STDC__ static const long double zero = 0.0; -#else -static long double zero = 0.0; -#endif -#ifdef __STDC__ - long double __ieee754_remainderl(long double x, long double p) -#else - long double __ieee754_remainderl(x,p) - long double x,p; -#endif +long double +__ieee754_remainderl(long double x, long double p) { u_int32_t sx,sex,sep,x0,x1,p0,p1; long double p_half; @@ -54,7 +42,7 @@ static long double zero = 0.0; sex &= 0x7fff; /* purge off exception values */ - if((sep|p0|p1)==0) return (x*p)/(x*p); /* p = 0 */ + if((sep|p0|p1)==0) return (x*p)/(x*p); /* p = 0 */ if((sex==0x7fff)|| /* x not finite */ ((sep==0x7fff)&& /* p is NaN */ ((p0|p1)!=0))) @@ -81,3 +69,4 @@ static long double zero = 0.0; SET_LDOUBLE_EXP(x,sex^sx); return x; } +strong_alias (__ieee754_remainderl, __remainderl_finite) diff --git a/sysdeps/ieee754/ldbl-96/e_sinhl.c b/sysdeps/ieee754/ldbl-96/e_sinhl.c index 646d4fde82..8593272406 100644 --- a/sysdeps/ieee754/ldbl-96/e_sinhl.c +++ b/sysdeps/ieee754/ldbl-96/e_sinhl.c @@ -23,9 +23,9 @@ static char rcsid[] = "$NetBSD: $"; * mathematically sinh(x) if defined to be (exp(x)-exp(-x))/2 * 1. Replace x by |x| (sinhl(-x) = -sinhl(x)). * 2. - * E + E/(E+1) + * E + E/(E+1) * 0 <= x <= 25 : sinhl(x) := --------------, E=expm1l(x) - * 2 + * 2 * * 25 <= x <= lnovft : sinhl(x) := expl(x)/2 * lnovft <= x <= ln2ovft: sinhl(x) := expl(x/2)/2 * expl(x/2) @@ -39,18 +39,10 @@ static char rcsid[] = "$NetBSD: $"; #include "math.h" #include "math_private.h" -#ifdef __STDC__ static const long double one = 1.0, shuge = 1.0e4931L; -#else -static long double one = 1.0, shuge = 1.0e4931L; -#endif -#ifdef __STDC__ - long double __ieee754_sinhl(long double x) -#else - long double __ieee754_sinhl(x) - long double x; -#endif +long double +__ieee754_sinhl(long double x) { long double t,w,h; u_int32_t jx,ix,i0,i1; @@ -60,13 +52,13 @@ static long double one = 1.0, shuge = 1.0e4931L; ix = jx&0x7fff; /* x is INF or NaN */ - if(ix==0x7fff) return x+x; + if(__builtin_expect(ix==0x7fff, 0)) return x+x; h = 0.5; if (jx & 0x8000) h = -h; /* |x| in [0,25], return sign(x)*0.5*(E+E/(E+1))) */ if (ix < 0x4003 || (ix == 0x4003 && i0 <= 0xc8000000)) { /* |x|<25 */ - if (ix<0x3fdf) /* |x|<2**-32 */ + if (ix<0x3fdf) /* |x|<2**-32 */ if(shuge+x>one) return x;/* sinh(tiny) = tiny with inexact */ t = __expm1l(fabsl(x)); if(ix<0x3fff) return h*(2.0*t-t*t/(t+one)); @@ -89,3 +81,4 @@ static long double one = 1.0, shuge = 1.0e4931L; /* |x| > overflowthreshold, sinhl(x) overflow */ return x*shuge; } +strong_alias (__ieee754_sinhl, __sinhl_finite) diff --git a/sysdeps/ieee754/ldbl-96/s_asinhl.c b/sysdeps/ieee754/ldbl-96/s_asinhl.c index 6eb434c44b..9f37d48842 100644 --- a/sysdeps/ieee754/ldbl-96/s_asinhl.c +++ b/sysdeps/ieee754/ldbl-96/s_asinhl.c @@ -52,19 +52,21 @@ huge= 1.000000000000000000e+4900L; int32_t hx,ix; GET_LDOUBLE_EXP(hx,x); ix = hx&0x7fff; - if(ix==0x7fff) return x+x; /* x is inf or NaN */ - if(ix< 0x3fde) { /* |x|<2**-34 */ + if(__builtin_expect(ix< 0x3fde, 0)) { /* |x|<2**-34 */ if(huge+x>one) return x; /* return x inexact except 0 */ } - if(ix>0x4020) { /* |x| > 2**34 */ + if(__builtin_expect(ix>0x4020,0)) { /* |x| > 2**34 */ + if(ix==0x7fff) return x+x; /* x is inf or NaN */ w = __ieee754_logl(fabsl(x))+ln2; - } else if (ix>0x4000) { /* 2**34 > |x| > 2.0 */ - t = fabsl(x); - w = __ieee754_logl(2.0*t+one/(__ieee754_sqrtl(x*x+one)+t)); - } else { /* 2.0 > |x| > 2**-28 */ - t = x*x; - w =__log1pl(fabsl(x)+t/(one+__ieee754_sqrtl(one+t))); + } else { + long double xa = fabsl(x); + if (ix>0x4000) { /* 2**34 > |x| > 2.0 */ + w = __ieee754_logl(2.0*xa+one/(__ieee754_sqrtl(xa*xa+one)+xa)); + } else { /* 2.0 > |x| > 2**-28 */ + t = xa*xa; + w =__log1pl(xa+t/(one+__ieee754_sqrtl(one+t))); + } } - if(hx&0x8000) return -w; else return w; + return __copysignl(w, x); } weak_alias (__asinhl, asinhl) |