From f05428e4cd63dde97bac14b84dd146a5c00455e3 Mon Sep 17 00:00:00 2001 From: rgrimes Date: Tue, 30 May 1995 05:51:47 +0000 Subject: Remove trailing whitespace. --- lib/msun/src/e_acos.c | 12 +++--- lib/msun/src/e_acosf.c | 8 ++-- lib/msun/src/e_acosh.c | 14 +++---- lib/msun/src/e_acoshf.c | 12 +++--- lib/msun/src/e_asin.c | 22 +++++----- lib/msun/src/e_asinf.c | 18 ++++---- lib/msun/src/e_atan2.c | 22 +++++----- lib/msun/src/e_atan2f.c | 14 +++---- lib/msun/src/e_atanh.c | 10 ++--- lib/msun/src/e_atanhf.c | 8 ++-- lib/msun/src/e_cosh.c | 20 ++++----- lib/msun/src/e_coshf.c | 8 ++-- lib/msun/src/e_exp.c | 32 +++++++-------- lib/msun/src/e_expf.c | 10 ++--- lib/msun/src/e_fmod.c | 14 +++---- lib/msun/src/e_fmodf.c | 12 +++--- lib/msun/src/e_gamma.c | 4 +- lib/msun/src/e_gamma_r.c | 8 ++-- lib/msun/src/e_gammaf.c | 4 +- lib/msun/src/e_gammaf_r.c | 8 ++-- lib/msun/src/e_hypot.c | 24 +++++------ lib/msun/src/e_hypotf.c | 6 +-- lib/msun/src/e_j0.c | 28 ++++++------- lib/msun/src/e_j0f.c | 20 ++++----- lib/msun/src/e_j1.c | 32 +++++++-------- lib/msun/src/e_j1f.c | 24 +++++------ lib/msun/src/e_jn.c | 44 ++++++++++---------- lib/msun/src/e_jnf.c | 30 +++++++------- lib/msun/src/e_lgamma.c | 4 +- lib/msun/src/e_lgamma_r.c | 34 +++++++-------- lib/msun/src/e_lgammaf.c | 4 +- lib/msun/src/e_lgammaf_r.c | 16 ++++---- lib/msun/src/e_log.c | 40 +++++++++--------- lib/msun/src/e_log10.c | 12 +++--- lib/msun/src/e_log10f.c | 4 +- lib/msun/src/e_logf.c | 14 +++---- lib/msun/src/e_pow.c | 44 ++++++++++---------- lib/msun/src/e_powf.c | 26 ++++++------ lib/msun/src/e_rem_pio2.c | 52 +++++++++++------------ lib/msun/src/e_rem_pio2f.c | 52 +++++++++++------------ lib/msun/src/e_remainder.c | 12 +++--- lib/msun/src/e_remainderf.c | 4 +- lib/msun/src/e_scalb.c | 6 +-- lib/msun/src/e_scalbf.c | 4 +- lib/msun/src/e_sinh.c | 16 ++++---- lib/msun/src/e_sinhf.c | 8 ++-- lib/msun/src/e_sqrt.c | 96 +++++++++++++++++++++---------------------- lib/msun/src/e_sqrtf.c | 22 +++++----- lib/msun/src/k_cos.c | 22 +++++----- lib/msun/src/k_cosf.c | 10 ++--- lib/msun/src/k_rem_pio2.c | 62 ++++++++++++++-------------- lib/msun/src/k_rem_pio2f.c | 32 +++++++-------- lib/msun/src/k_sin.c | 20 ++++----- lib/msun/src/k_sinf.c | 8 ++-- lib/msun/src/k_standard.c | 36 ++++++++-------- lib/msun/src/k_tan.c | 22 +++++----- lib/msun/src/k_tanf.c | 10 ++--- lib/msun/src/math.h | 16 ++++---- lib/msun/src/math_private.h | 42 +++++++++---------- lib/msun/src/s_asinh.c | 18 ++++---- lib/msun/src/s_asinhf.c | 14 +++---- lib/msun/src/s_atan.c | 18 ++++---- lib/msun/src/s_atanf.c | 12 +++--- lib/msun/src/s_cbrt.c | 14 +++---- lib/msun/src/s_cbrtf.c | 16 ++++---- lib/msun/src/s_ceil.c | 8 ++-- lib/msun/src/s_ceilf.c | 6 +-- lib/msun/src/s_copysign.c | 4 +- lib/msun/src/s_copysignf.c | 4 +- lib/msun/src/s_cos.c | 10 ++--- lib/msun/src/s_cosf.c | 4 +- lib/msun/src/s_erf.c | 36 ++++++++-------- lib/msun/src/s_erff.c | 18 ++++---- lib/msun/src/s_expm1.c | 50 +++++++++++----------- lib/msun/src/s_expm1f.c | 12 +++--- lib/msun/src/s_fabs.c | 4 +- lib/msun/src/s_fabsf.c | 4 +- lib/msun/src/s_finite.c | 4 +- lib/msun/src/s_finitef.c | 4 +- lib/msun/src/s_floor.c | 8 ++-- lib/msun/src/s_floorf.c | 6 +-- lib/msun/src/s_frexp.c | 10 ++--- lib/msun/src/s_frexpf.c | 4 +- lib/msun/src/s_ilogb.c | 6 +-- lib/msun/src/s_ilogbf.c | 6 +-- lib/msun/src/s_isnan.c | 6 +-- lib/msun/src/s_isnanf.c | 4 +- lib/msun/src/s_ldexp.c | 4 +- lib/msun/src/s_ldexpf.c | 4 +- lib/msun/src/s_lib_version.c | 4 +- lib/msun/src/s_log1p.c | 42 +++++++++---------- lib/msun/src/s_log1pf.c | 14 +++---- lib/msun/src/s_logb.c | 8 ++-- lib/msun/src/s_logbf.c | 8 ++-- lib/msun/src/s_matherr.c | 4 +- lib/msun/src/s_modf.c | 6 +-- lib/msun/src/s_modff.c | 4 +- lib/msun/src/s_nextafter.c | 12 +++--- lib/msun/src/s_nextafterf.c | 12 +++--- lib/msun/src/s_rint.c | 8 ++-- lib/msun/src/s_rintf.c | 8 ++-- lib/msun/src/s_scalbn.c | 16 ++++---- lib/msun/src/s_scalbnf.c | 8 ++-- lib/msun/src/s_significand.c | 4 +- lib/msun/src/s_significandf.c | 4 +- lib/msun/src/s_sin.c | 10 ++--- lib/msun/src/s_sinf.c | 4 +- lib/msun/src/s_tan.c | 10 ++--- lib/msun/src/s_tanf.c | 4 +- lib/msun/src/s_tanh.c | 6 +-- lib/msun/src/s_tanhf.c | 6 +-- lib/msun/src/w_acos.c | 4 +- lib/msun/src/w_acosf.c | 4 +- lib/msun/src/w_acosh.c | 6 +-- lib/msun/src/w_acoshf.c | 6 +-- lib/msun/src/w_asin.c | 6 +-- lib/msun/src/w_asinf.c | 6 +-- lib/msun/src/w_atan2.c | 6 +-- lib/msun/src/w_atan2f.c | 6 +-- lib/msun/src/w_atanh.c | 8 ++-- lib/msun/src/w_atanhf.c | 8 ++-- lib/msun/src/w_cabs.c | 2 +- lib/msun/src/w_cabsf.c | 2 +- lib/msun/src/w_cosh.c | 8 ++-- lib/msun/src/w_coshf.c | 8 ++-- lib/msun/src/w_drem.c | 2 +- lib/msun/src/w_dremf.c | 2 +- lib/msun/src/w_exp.c | 8 ++-- lib/msun/src/w_expf.c | 8 ++-- lib/msun/src/w_fmod.c | 6 +-- lib/msun/src/w_fmodf.c | 6 +-- lib/msun/src/w_gamma.c | 6 +-- lib/msun/src/w_gamma_r.c | 8 ++-- lib/msun/src/w_gammaf.c | 6 +-- lib/msun/src/w_gammaf_r.c | 8 ++-- lib/msun/src/w_hypot.c | 4 +- lib/msun/src/w_hypotf.c | 4 +- lib/msun/src/w_j0.c | 4 +- lib/msun/src/w_j0f.c | 4 +- lib/msun/src/w_j1.c | 8 ++-- lib/msun/src/w_j1f.c | 8 ++-- lib/msun/src/w_jn.c | 8 ++-- lib/msun/src/w_jnf.c | 4 +- lib/msun/src/w_lgamma.c | 6 +-- lib/msun/src/w_lgamma_r.c | 8 ++-- lib/msun/src/w_lgammaf.c | 6 +-- lib/msun/src/w_lgammaf_r.c | 8 ++-- lib/msun/src/w_log.c | 6 +-- lib/msun/src/w_log10.c | 8 ++-- lib/msun/src/w_log10f.c | 8 ++-- lib/msun/src/w_logf.c | 6 +-- lib/msun/src/w_pow.c | 14 +++---- lib/msun/src/w_powf.c | 16 ++++---- lib/msun/src/w_remainder.c | 8 ++-- lib/msun/src/w_remainderf.c | 8 ++-- lib/msun/src/w_scalb.c | 10 ++--- lib/msun/src/w_scalbf.c | 10 ++--- lib/msun/src/w_sinh.c | 8 ++-- lib/msun/src/w_sinhf.c | 8 ++-- lib/msun/src/w_sqrt.c | 6 +-- lib/msun/src/w_sqrtf.c | 6 +-- 161 files changed, 1036 insertions(+), 1036 deletions(-) (limited to 'lib/msun/src') diff --git a/lib/msun/src/e_acos.c b/lib/msun/src/e_acos.c index 0958a32..5f09e63 100644 --- a/lib/msun/src/e_acos.c +++ b/lib/msun/src/e_acos.c @@ -5,24 +5,24 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: e_acos.c,v 1.6 1994/08/18 23:04:51 jtc Exp $"; +static char rcsid[] = "$Id: e_acos.c,v 1.1.1.1 1994/08/19 09:39:43 jkh Exp $"; #endif /* __ieee754_acos(x) - * Method : + * Method : * acos(x) = pi/2 - asin(x) * acos(-x) = pi/2 + asin(x) * For |x|<=0.5 * acos(x) = pi/2 - (x + x*x^2*R(x^2)) (see asin.c) * For x>0.5 * acos(x) = pi/2 - (pi/2 - 2asin(sqrt((1-x)/2))) - * = 2asin(sqrt((1-x)/2)) + * = 2asin(sqrt((1-x)/2)) * = 2s + 2s*z*R(z) ...z=(1-x)/2, s=sqrt(z) * = 2f + (2c + 2s*z*R(z)) * where f=hi part of s, and c = (z-f*f)/(s+f) is the correction term @@ -42,9 +42,9 @@ static char rcsid[] = "$Id: e_acos.c,v 1.6 1994/08/18 23:04:51 jtc Exp $"; #include "math_private.h" #ifdef __STDC__ -static const double +static const double #else -static double +static double #endif one= 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */ pi = 3.14159265358979311600e+00, /* 0x400921FB, 0x54442D18 */ diff --git a/lib/msun/src/e_acosf.c b/lib/msun/src/e_acosf.c index b3703fe..e220a72 100644 --- a/lib/msun/src/e_acosf.c +++ b/lib/msun/src/e_acosf.c @@ -8,22 +8,22 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: e_acosf.c,v 1.2 1994/08/18 23:04:53 jtc Exp $"; +static char rcsid[] = "$Id: e_acosf.c,v 1.1.1.1 1994/08/19 09:39:43 jkh Exp $"; #endif #include "math.h" #include "math_private.h" #ifdef __STDC__ -static const float +static const float #else -static float +static float #endif one = 1.0000000000e+00, /* 0x3F800000 */ pi = 3.1415925026e+00, /* 0x40490fda */ diff --git a/lib/msun/src/e_acosh.c b/lib/msun/src/e_acosh.c index f54ba32..efaefea 100644 --- a/lib/msun/src/e_acosh.c +++ b/lib/msun/src/e_acosh.c @@ -5,18 +5,18 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: e_acosh.c,v 1.6 1994/08/18 23:04:54 jtc Exp $"; +static char rcsid[] = "$Id: e_acosh.c,v 1.1.1.1 1994/08/19 09:39:43 jkh Exp $"; #endif /* __ieee754_acosh(x) * Method : - * Based on + * Based on * acosh(x) = log [ x + sqrt(x*x-1) ] * we have * acosh(x) := log(x)+ln2, if x is large; else @@ -32,9 +32,9 @@ static char rcsid[] = "$Id: e_acosh.c,v 1.6 1994/08/18 23:04:54 jtc Exp $"; #include "math_private.h" #ifdef __STDC__ -static const double +static const double #else -static double +static double #endif one = 1.0, ln2 = 6.93147180559945286227e-01; /* 0x3FE62E42, 0xFEFA39EF */ @@ -45,7 +45,7 @@ ln2 = 6.93147180559945286227e-01; /* 0x3FE62E42, 0xFEFA39EF */ double __ieee754_acosh(x) double x; #endif -{ +{ double t; int32_t hx; u_int32_t lx; @@ -55,7 +55,7 @@ ln2 = 6.93147180559945286227e-01; /* 0x3FE62E42, 0xFEFA39EF */ } else if(hx >=0x41b00000) { /* x > 2**28 */ if(hx >=0x7ff00000) { /* x is inf of NaN */ return x+x; - } else + } else return __ieee754_log(x)+ln2; /* acosh(huge)=log(2x) */ } else if(((hx-0x3ff00000)|lx)==0) { return 0.0; /* acosh(1) = 0 */ diff --git a/lib/msun/src/e_acoshf.c b/lib/msun/src/e_acoshf.c index 23ead6f..53080e9 100644 --- a/lib/msun/src/e_acoshf.c +++ b/lib/msun/src/e_acoshf.c @@ -8,22 +8,22 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: e_acoshf.c,v 1.2 1994/08/18 23:04:57 jtc Exp $"; +static char rcsid[] = "$Id: e_acoshf.c,v 1.1.1.1 1994/08/19 09:39:44 jkh Exp $"; #endif #include "math.h" #include "math_private.h" #ifdef __STDC__ -static const float +static const float #else -static float +static float #endif one = 1.0, ln2 = 6.9314718246e-01; /* 0x3f317218 */ @@ -34,7 +34,7 @@ ln2 = 6.9314718246e-01; /* 0x3f317218 */ float __ieee754_acoshf(x) float x; #endif -{ +{ float t; int32_t hx; GET_FLOAT_WORD(hx,x); @@ -43,7 +43,7 @@ ln2 = 6.9314718246e-01; /* 0x3f317218 */ } else if(hx >=0x4d800000) { /* x > 2**28 */ if(hx >=0x7f800000) { /* x is inf of NaN */ return x+x; - } else + } else return __ieee754_logf(x)+ln2; /* acosh(huge)=log(2x) */ } else if (hx==0x3f800000) { return 0.0; /* acosh(1) = 0 */ diff --git a/lib/msun/src/e_asin.c b/lib/msun/src/e_asin.c index 7f6a915..390ea5f 100644 --- a/lib/msun/src/e_asin.c +++ b/lib/msun/src/e_asin.c @@ -5,22 +5,22 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: e_asin.c,v 1.6 1994/08/18 23:05:01 jtc Exp $"; +static char rcsid[] = "$Id: e_asin.c,v 1.1.1.1 1994/08/19 09:39:43 jkh Exp $"; #endif /* __ieee754_asin(x) - * Method : + * Method : * Since asin(x) = x + x^3/6 + x^5*3/40 + x^7*15/336 + ... * we approximate asin(x) on [0,0.5] by * asin(x) = x + x*x^2*R(x^2) * where - * R(x^2) is a rational approximation of (asin(x)-x)/x^3 + * R(x^2) is a rational approximation of (asin(x)-x)/x^3 * and its remez error is bounded by * |(asin(x)-x)/x^3 - R(x^2)| < 2^(-58.75) * @@ -49,9 +49,9 @@ static char rcsid[] = "$Id: e_asin.c,v 1.6 1994/08/18 23:05:01 jtc Exp $"; #include "math_private.h" #ifdef __STDC__ -static const double +static const double #else -static double +static double #endif one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */ huge = 1.000e+300, @@ -86,12 +86,12 @@ qS4 = 7.70381505559019352791e-02; /* 0x3FB3B8C5, 0xB12E9282 */ GET_LOW_WORD(lx,x); if(((ix-0x3ff00000)|lx)==0) /* asin(1)=+-pi/2 with inexact */ - return x*pio2_hi+x*pio2_lo; - return (x-x)/(x-x); /* asin(|x|>1) is NaN */ + return x*pio2_hi+x*pio2_lo; + return (x-x)/(x-x); /* asin(|x|>1) is NaN */ } else if (ix<0x3fe00000) { /* |x|<0.5 */ if(ix<0x3e400000) { /* if |x| < 2**-27 */ if(huge+x>one) return x;/* return x with inexact if x!=0*/ - } else + } else t = x*x; p = t*(pS0+t*(pS1+t*(pS2+t*(pS3+t*(pS4+t*pS5))))); q = one+t*(qS1+t*(qS2+t*(qS3+t*qS4))); @@ -115,6 +115,6 @@ qS4 = 7.70381505559019352791e-02; /* 0x3FB3B8C5, 0xB12E9282 */ p = 2.0*s*r-(pio2_lo-2.0*c); q = pio4_hi-2.0*w; t = pio4_hi-(p-q); - } - if(hx>0) return t; else return -t; + } + if(hx>0) return t; else return -t; } diff --git a/lib/msun/src/e_asinf.c b/lib/msun/src/e_asinf.c index 7945874..1f07579 100644 --- a/lib/msun/src/e_asinf.c +++ b/lib/msun/src/e_asinf.c @@ -8,22 +8,22 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: e_asinf.c,v 1.2 1994/08/18 23:05:05 jtc Exp $"; +static char rcsid[] = "$Id: e_asinf.c,v 1.1.1.1 1994/08/19 09:39:44 jkh Exp $"; #endif #include "math.h" #include "math_private.h" #ifdef __STDC__ -static const float +static const float #else -static float +static float #endif one = 1.0000000000e+00, /* 0x3F800000 */ huge = 1.000e+30, @@ -55,13 +55,13 @@ qS4 = 7.7038154006e-02; /* 0x3d9dc62e */ ix = hx&0x7fffffff; if(ix==0x3f800000) { /* asin(1)=+-pi/2 with inexact */ - return x*pio2_hi+x*pio2_lo; + return x*pio2_hi+x*pio2_lo; } else if(ix> 0x3f800000) { /* |x|>= 1 */ - return (x-x)/(x-x); /* asin(|x|>1) is NaN */ + return (x-x)/(x-x); /* asin(|x|>1) is NaN */ } else if (ix<0x3f000000) { /* |x|<0.5 */ if(ix<0x32000000) { /* if |x| < 2**-27 */ if(huge+x>one) return x;/* return x with inexact if x!=0*/ - } else + } else t = x*x; p = t*(pS0+t*(pS1+t*(pS2+t*(pS3+t*(pS4+t*pS5))))); q = one+t*(qS1+t*(qS2+t*(qS3+t*qS4))); @@ -87,6 +87,6 @@ qS4 = 7.7038154006e-02; /* 0x3d9dc62e */ p = (float)2.0*s*r-(pio2_lo-(float)2.0*c); q = pio4_hi-(float)2.0*w; t = pio4_hi-(p-q); - } - if(hx>0) return t; else return -t; + } + if(hx>0) return t; else return -t; } diff --git a/lib/msun/src/e_atan2.c b/lib/msun/src/e_atan2.c index 8221de6..233d8b6 100644 --- a/lib/msun/src/e_atan2.c +++ b/lib/msun/src/e_atan2.c @@ -5,19 +5,19 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: e_atan2.c,v 1.6 1994/08/18 23:05:08 jtc Exp $"; +static char rcsid[] = "$Id: e_atan2.c,v 1.1.1.1 1994/08/19 09:39:43 jkh Exp $"; #endif /* __ieee754_atan2(y,x) * Method : * 1. Reduce y to positive by atan2(y,x)=-atan2(-y,x). - * 2. Reduce x to positive by (if x and y are unexceptional): + * 2. Reduce x to positive by (if x and y are unexceptional): * ARG (x+iy) = arctan(y/x) ... if x > 0, * ARG (x+iy) = pi - arctan[y/(-x)] ... if x < 0, * @@ -35,9 +35,9 @@ static char rcsid[] = "$Id: e_atan2.c,v 1.6 1994/08/18 23:05:08 jtc Exp $"; * ATAN2(+-INF, (anything but,0,NaN, and INF)) is +-pi/2; * * Constants: - * The hexadecimal values are the intended ones for the following - * constants. The decimal values may be used, provided that the - * compiler will convert from decimal to binary accurately enough + * The hexadecimal values are the intended ones for the following + * constants. The decimal values may be used, provided that the + * compiler will convert from decimal to binary accurately enough * to produce the hexadecimal values shown. */ @@ -45,9 +45,9 @@ static char rcsid[] = "$Id: e_atan2.c,v 1.6 1994/08/18 23:05:08 jtc Exp $"; #include "math_private.h" #ifdef __STDC__ -static const double +static const double #else -static double +static double #endif tiny = 1.0e-300, zero = 0.0, @@ -62,7 +62,7 @@ pi_lo = 1.2246467991473531772E-16; /* 0x3CA1A626, 0x33145C07 */ double __ieee754_atan2(y,x) double y,x; #endif -{ +{ double z; int32_t k,m,hx,hy,ix,iy; u_int32_t lx,ly; @@ -80,7 +80,7 @@ pi_lo = 1.2246467991473531772E-16; /* 0x3CA1A626, 0x33145C07 */ /* when y = 0 */ if((iy|ly)==0) { switch(m) { - case 0: + case 0: case 1: return y; /* atan(+-0,+anything)=+-0 */ case 2: return pi+tiny;/* atan(+0,-anything) = pi */ case 3: return -pi-tiny;/* atan(-0,-anything) =-pi */ @@ -88,7 +88,7 @@ pi_lo = 1.2246467991473531772E-16; /* 0x3CA1A626, 0x33145C07 */ } /* when x = 0 */ if((ix|lx)==0) return (hy<0)? -pi_o_2-tiny: pi_o_2+tiny; - + /* when x is INF */ if(ix==0x7ff00000) { if(iy==0x7ff00000) { diff --git a/lib/msun/src/e_atan2f.c b/lib/msun/src/e_atan2f.c index 8493ca4..39aa779 100644 --- a/lib/msun/src/e_atan2f.c +++ b/lib/msun/src/e_atan2f.c @@ -8,22 +8,22 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: e_atan2f.c,v 1.2 1994/08/18 23:05:11 jtc Exp $"; +static char rcsid[] = "$Id: e_atan2f.c,v 1.1.1.1 1994/08/19 09:39:54 jkh Exp $"; #endif #include "math.h" #include "math_private.h" #ifdef __STDC__ -static const float +static const float #else -static float +static float #endif tiny = 1.0e-30, zero = 0.0, @@ -38,7 +38,7 @@ pi_lo = 1.5099578832e-07; /* 0x34222168 */ float __ieee754_atan2f(y,x) float y,x; #endif -{ +{ float z; int32_t k,m,hx,hy,ix,iy; @@ -55,7 +55,7 @@ pi_lo = 1.5099578832e-07; /* 0x34222168 */ /* when y = 0 */ if(iy==0) { switch(m) { - case 0: + case 0: case 1: return y; /* atan(+-0,+anything)=+-0 */ case 2: return pi+tiny;/* atan(+0,-anything) = pi */ case 3: return -pi-tiny;/* atan(-0,-anything) =-pi */ @@ -63,7 +63,7 @@ pi_lo = 1.5099578832e-07; /* 0x34222168 */ } /* when x = 0 */ if(ix==0) return (hy<0)? -pi_o_2-tiny: pi_o_2+tiny; - + /* when x is INF */ if(ix==0x7f800000) { if(iy==0x7f800000) { diff --git a/lib/msun/src/e_atanh.c b/lib/msun/src/e_atanh.c index 7d85023..aeb8a75 100644 --- a/lib/msun/src/e_atanh.c +++ b/lib/msun/src/e_atanh.c @@ -5,13 +5,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: e_atanh.c,v 1.6 1994/08/18 23:05:12 jtc Exp $"; +static char rcsid[] = "$Id: e_atanh.c,v 1.1.1.1 1994/08/19 09:39:43 jkh Exp $"; #endif /* __ieee754_atanh(x) @@ -21,7 +21,7 @@ static char rcsid[] = "$Id: e_atanh.c,v 1.6 1994/08/18 23:05:12 jtc Exp $"; * 1 2x x * atanh(x) = --- * log(1 + -------) = 0.5 * log1p(2 * --------) * 2 1 - x 1 - x - * + * * For x<0.5 * atanh(x) = 0.5*log1p(2x+2x*x/(1-x)) * @@ -61,14 +61,14 @@ static double zero = 0.0; ix = hx&0x7fffffff; if ((ix|((lx|(-lx))>>31))>0x3ff00000) /* |x|>1 */ return (x-x)/(x-x); - if(ix==0x3ff00000) + if(ix==0x3ff00000) return x/zero; if(ix<0x3e300000&&(huge+x)>zero) return x; /* x<2**-28 */ SET_HIGH_WORD(x,ix); if(ix<0x3fe00000) { /* x < 0.5 */ t = x+x; t = 0.5*log1p(t+t*x/(one-x)); - } else + } else t = 0.5*log1p((x+x)/(one-x)); if(hx>=0) return t; else return -t; } diff --git a/lib/msun/src/e_atanhf.c b/lib/msun/src/e_atanhf.c index 3a941cc..1c2cc64 100644 --- a/lib/msun/src/e_atanhf.c +++ b/lib/msun/src/e_atanhf.c @@ -8,13 +8,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: e_atanhf.c,v 1.2 1994/08/18 23:05:14 jtc Exp $"; +static char rcsid[] = "$Id: e_atanhf.c,v 1.1.1.1 1994/08/19 09:39:54 jkh Exp $"; #endif #include "math.h" @@ -45,14 +45,14 @@ static float zero = 0.0; ix = hx&0x7fffffff; if (ix>0x3f800000) /* |x|>1 */ return (x-x)/(x-x); - if(ix==0x3f800000) + if(ix==0x3f800000) return x/zero; if(ix<0x31800000&&(huge+x)>zero) return x; /* x<2**-28 */ SET_FLOAT_WORD(x,ix); if(ix<0x3f000000) { /* x < 0.5 */ t = x+x; t = (float)0.5*log1pf(t+t*x/(one-x)); - } else + } else t = (float)0.5*log1pf((x+x)/(one-x)); if(hx>=0) return t; else return -t; } diff --git a/lib/msun/src/e_cosh.c b/lib/msun/src/e_cosh.c index b54fc3f..2153e69 100644 --- a/lib/msun/src/e_cosh.c +++ b/lib/msun/src/e_cosh.c @@ -5,28 +5,28 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: e_cosh.c,v 1.5 1994/08/18 23:05:15 jtc Exp $"; +static char rcsid[] = "$Id: e_cosh.c,v 1.1.1.1 1994/08/19 09:39:43 jkh Exp $"; #endif /* __ieee754_cosh(x) - * Method : + * Method : * mathematically cosh(x) if defined to be (exp(x)+exp(-x))/2 - * 1. Replace x by |x| (cosh(x) = cosh(-x)). - * 2. - * [ exp(x) - 1 ]^2 + * 1. Replace x by |x| (cosh(x) = cosh(-x)). + * 2. + * [ exp(x) - 1 ]^2 * 0 <= x <= ln2/2 : cosh(x) := 1 + ------------------- * 2*exp(x) * * exp(x) + 1/exp(x) * ln2/2 <= x <= 22 : cosh(x) := ------------------- * 2 - * 22 <= x <= lnovft : cosh(x) := exp(x)/2 + * 22 <= x <= lnovft : cosh(x) := exp(x)/2 * lnovft <= x <= ln2ovft: cosh(x) := exp(x/2)/2 * exp(x/2) * ln2ovft < x : cosh(x) := huge*huge (overflow) * @@ -50,7 +50,7 @@ static double one = 1.0, half=0.5, huge = 1.0e300; double __ieee754_cosh(x) double x; #endif -{ +{ double t,w; int32_t ix; u_int32_t lx; @@ -60,7 +60,7 @@ static double one = 1.0, half=0.5, huge = 1.0e300; ix &= 0x7fffffff; /* x is INF or NaN */ - if(ix>=0x7ff00000) return x*x; + if(ix>=0x7ff00000) return x*x; /* |x| in [0,0.5*ln2], return 1+expm1(|x|)^2/(2*exp(|x|)) */ if(ix<0x3fd62e43) { @@ -81,7 +81,7 @@ static double one = 1.0, half=0.5, huge = 1.0e300; /* |x| in [log(maxdouble), overflowthresold] */ GET_LOW_WORD(lx,x); - if (ix<0x408633CE || + if (ix<0x408633CE || (ix==0x408633ce)&&(lx<=(u_int32_t)0x8fb9f87d)) { w = __ieee754_exp(half*fabs(x)); t = half*w; diff --git a/lib/msun/src/e_coshf.c b/lib/msun/src/e_coshf.c index 6c30ae5..25bb9e3 100644 --- a/lib/msun/src/e_coshf.c +++ b/lib/msun/src/e_coshf.c @@ -8,13 +8,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: e_coshf.c,v 1.2 1994/08/18 23:05:17 jtc Exp $"; +static char rcsid[] = "$Id: e_coshf.c,v 1.1.1.1 1994/08/19 09:39:54 jkh Exp $"; #endif #include "math.h" @@ -32,7 +32,7 @@ static float one = 1.0, half=0.5, huge = 1.0e30; float __ieee754_coshf(x) float x; #endif -{ +{ float t,w; int32_t ix; @@ -40,7 +40,7 @@ static float one = 1.0, half=0.5, huge = 1.0e30; ix &= 0x7fffffff; /* x is INF or NaN */ - if(ix>=0x7f800000) return x*x; + if(ix>=0x7f800000) return x*x; /* |x| in [0,0.5*ln2], return 1+expm1(|x|)^2/(2*exp(|x|)) */ if(ix<0x3eb17218) { diff --git a/lib/msun/src/e_exp.c b/lib/msun/src/e_exp.c index 4c76930..9b833be 100644 --- a/lib/msun/src/e_exp.c +++ b/lib/msun/src/e_exp.c @@ -5,13 +5,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: e_exp.c,v 1.6 1994/08/18 23:05:18 jtc Exp $"; +static char rcsid[] = "$Id: e_exp.c,v 1.1.1.1 1994/08/19 09:39:43 jkh Exp $"; #endif /* __ieee754_exp(x) @@ -22,36 +22,36 @@ static char rcsid[] = "$Id: e_exp.c,v 1.6 1994/08/18 23:05:18 jtc Exp $"; * Reduce x to an r so that |r| <= 0.5*ln2 ~ 0.34658. * Given x, find r and integer k such that * - * x = k*ln2 + r, |r| <= 0.5*ln2. + * x = k*ln2 + r, |r| <= 0.5*ln2. * - * Here r will be represented as r = hi-lo for better + * Here r will be represented as r = hi-lo for better * accuracy. * * 2. Approximation of exp(r) by a special rational function on * the interval [0,0.34658]: * Write * R(r**2) = r*(exp(r)+1)/(exp(r)-1) = 2 + r*r/6 - r**4/360 + ... - * We use a special Reme algorithm on [0,0.34658] to generate - * a polynomial of degree 5 to approximate R. The maximum error + * We use a special Reme algorithm on [0,0.34658] to generate + * a polynomial of degree 5 to approximate R. The maximum error * of this polynomial approximation is bounded by 2**-59. In * other words, * R(z) ~ 2.0 + P1*z + P2*z**2 + P3*z**3 + P4*z**4 + P5*z**5 * (where z=r*r, and the values of P1 to P5 are listed below) * and * | 5 | -59 - * | 2.0+P1*z+...+P5*z - R(z) | <= 2 + * | 2.0+P1*z+...+P5*z - R(z) | <= 2 * | | * The computation of exp(r) thus becomes * 2*r * exp(r) = 1 + ------- * R - r - * r*R1(r) + * r*R1(r) * = 1 + r + ----------- (for better accuracy) * 2 - R1(r) * where * 2 4 10 * R1(r) = r - (P1*r + P2*r + ... + P5*r ). - * + * * 3. Scale back to obtain exp(x): * From step 1, we have * exp(x) = 2^k * exp(r) @@ -66,13 +66,13 @@ static char rcsid[] = "$Id: e_exp.c,v 1.6 1994/08/18 23:05:18 jtc Exp $"; * 1 ulp (unit in the last place). * * Misc. info. - * For IEEE double + * For IEEE double * if x > 7.09782712893383973096e+02 then exp(x) overflow * if x < -7.45133219101941108420e+02 then exp(x) underflow * * Constants: - * The hexadecimal values are the intended ones for the following - * constants. The decimal values may be used, provided that the + * The hexadecimal values are the intended ones for the following + * constants. The decimal values may be used, provided that the * compiler will convert from decimal to binary accurately enough * to produce the hexadecimal values shown. */ @@ -123,7 +123,7 @@ P5 = 4.13813679705723846039e-08; /* 0x3E663769, 0x72BEA4D0 */ if(hx>=0x7ff00000) { u_int32_t lx; GET_LOW_WORD(lx,x); - if(((hx&0xfffff)|lx)!=0) + if(((hx&0xfffff)|lx)!=0) return x+x; /* NaN */ else return (xsb==0)? x:0.0; /* exp(+-inf)={inf,0} */ } @@ -132,7 +132,7 @@ P5 = 4.13813679705723846039e-08; /* 0x3E663769, 0x72BEA4D0 */ } /* argument reduction */ - if(hx > 0x3fd62e42) { /* if |x| > 0.5 ln2 */ + if(hx > 0x3fd62e42) { /* if |x| > 0.5 ln2 */ if(hx < 0x3FF0A2B2) { /* and |x| < 1.5 ln2 */ hi = x-ln2HI[xsb]; lo=ln2LO[xsb]; k = 1-xsb-xsb; } else { @@ -142,7 +142,7 @@ P5 = 4.13813679705723846039e-08; /* 0x3E663769, 0x72BEA4D0 */ lo = t*ln2LO[0]; } x = hi - lo; - } + } else if(hx < 0x3e300000) { /* when |x|<2**-28 */ if(huge+x>one) return one+x;/* trigger inexact */ } @@ -151,7 +151,7 @@ P5 = 4.13813679705723846039e-08; /* 0x3E663769, 0x72BEA4D0 */ /* x is now in primary range */ t = x*x; c = x - t*(P1+t*(P2+t*(P3+t*(P4+t*P5)))); - if(k==0) return one-((x*c)/(c-2.0)-x); + if(k==0) return one-((x*c)/(c-2.0)-x); else y = one-((lo-(x*c)/(2.0-c))-hi); if(k >= -1021) { u_int32_t hy; diff --git a/lib/msun/src/e_expf.c b/lib/msun/src/e_expf.c index e4df68e..19ff4ac 100644 --- a/lib/msun/src/e_expf.c +++ b/lib/msun/src/e_expf.c @@ -8,13 +8,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: e_expf.c,v 1.2 1994/08/18 23:05:20 jtc Exp $"; +static char rcsid[] = "$Id: e_expf.c,v 1.1.1.1 1994/08/19 09:39:54 jkh Exp $"; #endif #include "math.h" @@ -68,7 +68,7 @@ P5 = 4.1381369442e-08; /* 0x3331bb4c */ } /* argument reduction */ - if(hx > 0x3eb17218) { /* if |x| > 0.5 ln2 */ + if(hx > 0x3eb17218) { /* if |x| > 0.5 ln2 */ if(hx < 0x3F851592) { /* and |x| < 1.5 ln2 */ hi = x-ln2HI[xsb]; lo=ln2LO[xsb]; k = 1-xsb-xsb; } else { @@ -78,7 +78,7 @@ P5 = 4.1381369442e-08; /* 0x3331bb4c */ lo = t*ln2LO[0]; } x = hi - lo; - } + } else if(hx < 0x31800000) { /* when |x|<2**-28 */ if(huge+x>one) return one+x;/* trigger inexact */ } @@ -87,7 +87,7 @@ P5 = 4.1381369442e-08; /* 0x3331bb4c */ /* x is now in primary range */ t = x*x; c = x - t*(P1+t*(P2+t*(P3+t*(P4+t*P5)))); - if(k==0) return one-((x*c)/(c-(float)2.0)-x); + if(k==0) return one-((x*c)/(c-(float)2.0)-x); else y = one-((lo-(x*c)/((float)2.0-c))-hi); if(k >= -125) { u_int32_t hy; diff --git a/lib/msun/src/e_fmod.c b/lib/msun/src/e_fmod.c index 0733d47..d784c68 100644 --- a/lib/msun/src/e_fmod.c +++ b/lib/msun/src/e_fmod.c @@ -5,16 +5,16 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: e_fmod.c,v 1.6 1994/08/18 23:05:21 jtc Exp $"; +static char rcsid[] = "$Id: e_fmod.c,v 1.1.1.1 1994/08/19 09:39:43 jkh Exp $"; #endif -/* +/* * __ieee754_fmod(x,y) * Return x mod y in exact arithmetic * Method: shift and subtract @@ -51,7 +51,7 @@ static double one = 1.0, Zero[] = {0.0, -0.0,}; return (x*y)/(x*y); if(hx<=hy) { if((hx>31]; /* |x|=|y| return x*0*/ } @@ -74,7 +74,7 @@ static double one = 1.0, Zero[] = {0.0, -0.0,}; } else iy = (hy>>20)-1023; /* set up {hx,lx}, {hy,ly} and align y to x */ - if(ix >= -1022) + if(ix >= -1022) hx = 0x00100000|(0x000fffff&hx); else { /* subnormal x, shift x to normal */ n = -1022-ix; @@ -86,7 +86,7 @@ static double one = 1.0, Zero[] = {0.0, -0.0,}; lx = 0; } } - if(iy >= -1022) + if(iy >= -1022) hy = 0x00100000|(0x000fffff&hy); else { /* subnormal y, shift y to normal */ n = -1022-iy; @@ -115,7 +115,7 @@ static double one = 1.0, Zero[] = {0.0, -0.0,}; /* convert back to floating value and restore the sign */ if((hx|lx)==0) /* return sign(x)*0 */ - return Zero[(u_int32_t)sx>>31]; + return Zero[(u_int32_t)sx>>31]; while(hx<0x00100000) { /* normalize x */ hx = hx+hx+(lx>>31); lx = lx+lx; iy -= 1; diff --git a/lib/msun/src/e_fmodf.c b/lib/msun/src/e_fmodf.c index 5e547f5..4a54d18 100644 --- a/lib/msun/src/e_fmodf.c +++ b/lib/msun/src/e_fmodf.c @@ -8,16 +8,16 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: e_fmodf.c,v 1.2 1994/08/18 23:05:23 jtc Exp $"; +static char rcsid[] = "$Id: e_fmodf.c,v 1.1.1.1 1994/08/19 09:39:54 jkh Exp $"; #endif -/* +/* * __ieee754_fmodf(x,y) * Return x mod y in exact arithmetic * Method: shift and subtract @@ -66,13 +66,13 @@ static float one = 1.0, Zero[] = {0.0, -0.0,}; } else iy = (hy>>23)-127; /* set up {hx,lx}, {hy,ly} and align y to x */ - if(ix >= -126) + if(ix >= -126) hx = 0x00800000|(0x007fffff&hx); else { /* subnormal x, shift x to normal */ n = -126-ix; hx = hx<= -126) + if(iy >= -126) hy = 0x00800000|(0x007fffff&hy); else { /* subnormal y, shift y to normal */ n = -126-iy; @@ -95,7 +95,7 @@ static float one = 1.0, Zero[] = {0.0, -0.0,}; /* convert back to floating value and restore the sign */ if(hx==0) /* return sign(x)*0 */ - return Zero[(u_int32_t)sx>>31]; + return Zero[(u_int32_t)sx>>31]; while(hx<0x00800000) { /* normalize x */ hx = hx+hx; iy -= 1; diff --git a/lib/msun/src/e_gamma.c b/lib/msun/src/e_gamma.c index a3e6a4b..699dc54 100644 --- a/lib/msun/src/e_gamma.c +++ b/lib/msun/src/e_gamma.c @@ -5,14 +5,14 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== * */ #ifndef lint -static char rcsid[] = "$Id: e_gamma.c,v 1.4 1994/08/10 20:30:51 jtc Exp $"; +static char rcsid[] = "$Id: e_gamma.c,v 1.1.1.1 1994/08/19 09:39:43 jkh Exp $"; #endif /* __ieee754_gamma(x) diff --git a/lib/msun/src/e_gamma_r.c b/lib/msun/src/e_gamma_r.c index 8b6cb8f..699af10 100644 --- a/lib/msun/src/e_gamma_r.c +++ b/lib/msun/src/e_gamma_r.c @@ -5,18 +5,18 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: e_gamma_r.c,v 1.4 1994/08/10 20:30:52 jtc Exp $"; +static char rcsid[] = "$Id: e_gamma_r.c,v 1.1.1.1 1994/08/19 09:39:43 jkh Exp $"; #endif /* __ieee754_gamma_r(x, signgamp) - * Reentrant version of the logarithm of the Gamma function - * with user provide pointer for the sign of Gamma(x). + * Reentrant version of the logarithm of the Gamma function + * with user provide pointer for the sign of Gamma(x). * * Method: See __ieee754_lgamma_r */ diff --git a/lib/msun/src/e_gammaf.c b/lib/msun/src/e_gammaf.c index 593ae12..039c257 100644 --- a/lib/msun/src/e_gammaf.c +++ b/lib/msun/src/e_gammaf.c @@ -8,13 +8,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: e_gammaf.c,v 1.1 1994/08/10 20:30:53 jtc Exp $"; +static char rcsid[] = "$Id: e_gammaf.c,v 1.1.1.1 1994/08/19 09:39:54 jkh Exp $"; #endif /* __ieee754_gammaf(x) diff --git a/lib/msun/src/e_gammaf_r.c b/lib/msun/src/e_gammaf_r.c index b74657a..93f17fb 100644 --- a/lib/msun/src/e_gammaf_r.c +++ b/lib/msun/src/e_gammaf_r.c @@ -8,18 +8,18 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: e_gammaf_r.c,v 1.1 1994/08/10 20:30:54 jtc Exp $"; +static char rcsid[] = "$Id: e_gammaf_r.c,v 1.1.1.1 1994/08/19 09:39:54 jkh Exp $"; #endif /* __ieee754_gammaf_r(x, signgamp) - * Reentrant version of the logarithm of the Gamma function - * with user provide pointer for the sign of Gamma(x). + * Reentrant version of the logarithm of the Gamma function + * with user provide pointer for the sign of Gamma(x). * * Method: See __ieee754_lgammaf_r */ diff --git a/lib/msun/src/e_hypot.c b/lib/msun/src/e_hypot.c index 045f8a3..2f6e30f 100644 --- a/lib/msun/src/e_hypot.c +++ b/lib/msun/src/e_hypot.c @@ -5,23 +5,23 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: e_hypot.c,v 1.6 1994/08/18 23:05:24 jtc Exp $"; +static char rcsid[] = "$Id: e_hypot.c,v 1.1.1.1 1994/08/19 09:39:44 jkh Exp $"; #endif /* __ieee754_hypot(x,y) * - * Method : - * If (assume round-to-nearest) z=x*x+y*y - * has error less than sqrt(2)/2 ulp, than + * Method : + * If (assume round-to-nearest) z=x*x+y*y + * has error less than sqrt(2)/2 ulp, than * sqrt(z) has error less than 1 ulp (exercise). * - * So, compute sqrt(x*x+y*y) with some care as + * So, compute sqrt(x*x+y*y) with some care as * follows to get the error below 1 ulp: * * Assume x>y>0; @@ -31,10 +31,10 @@ static char rcsid[] = "$Id: e_hypot.c,v 1.6 1994/08/18 23:05:24 jtc Exp $"; * where x1 = x with lower 32 bits cleared, x2 = x-x1; else * 2. if x <= 2y use * t1*y1+((x-y)*(x-y)+(t1*y2+t2*y)) - * where t1 = 2x with lower 32 bits cleared, t2 = 2x-t1, + * where t1 = 2x with lower 32 bits cleared, t2 = 2x-t1, * y1= y with lower 32 bits chopped, y2 = y-y1. - * - * NOTE: scaling may be necessary if some argument is too + * + * NOTE: scaling may be necessary if some argument is too * large or too tiny * * Special cases: @@ -42,8 +42,8 @@ static char rcsid[] = "$Id: e_hypot.c,v 1.6 1994/08/18 23:05:24 jtc Exp $"; * hypot(x,y) is NAN if x or y is NAN. * * Accuracy: - * hypot(x,y) returns sqrt(x^2+y^2) with error less - * than 1 ulps (units in the last place) + * hypot(x,y) returns sqrt(x^2+y^2) with error less + * than 1 ulps (units in the last place) */ #include "math.h" @@ -84,7 +84,7 @@ static char rcsid[] = "$Id: e_hypot.c,v 1.6 1994/08/18 23:05:24 jtc Exp $"; SET_HIGH_WORD(b,hb); } if(hb < 0x20b00000) { /* b < 2**-500 */ - if(hb <= 0x000fffff) { /* subnormal b or 0 */ + if(hb <= 0x000fffff) { /* subnormal b or 0 */ u_int32_t low; GET_LOW_WORD(low,b); if((hb|low)==0) return a; diff --git a/lib/msun/src/e_hypotf.c b/lib/msun/src/e_hypotf.c index 874d7ee..66b9e17 100644 --- a/lib/msun/src/e_hypotf.c +++ b/lib/msun/src/e_hypotf.c @@ -8,13 +8,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: e_hypotf.c,v 1.2 1994/08/18 23:05:26 jtc Exp $"; +static char rcsid[] = "$Id: e_hypotf.c,v 1.1.1.1 1994/08/19 09:39:55 jkh Exp $"; #endif #include "math.h" @@ -52,7 +52,7 @@ static char rcsid[] = "$Id: e_hypotf.c,v 1.2 1994/08/18 23:05:26 jtc Exp $"; SET_FLOAT_WORD(b,hb); } if(hb < 0x26800000) { /* b < 2**-50 */ - if(hb <= 0x007fffff) { /* subnormal b or 0 */ + if(hb <= 0x007fffff) { /* subnormal b or 0 */ if(hb==0) return a; SET_FLOAT_WORD(t1,0x3f000000); /* t1=2^126 */ b *= t1; diff --git a/lib/msun/src/e_j0.c b/lib/msun/src/e_j0.c index 508f721..3a11397 100644 --- a/lib/msun/src/e_j0.c +++ b/lib/msun/src/e_j0.c @@ -5,13 +5,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: e_j0.c,v 1.6 1994/08/18 23:05:29 jtc Exp $"; +static char rcsid[] = "$Id: e_j0.c,v 1.1.1.1 1994/08/19 09:39:43 jkh Exp $"; #endif /* __ieee754_j0(x), __ieee754_y0(x) @@ -33,20 +33,20 @@ static char rcsid[] = "$Id: e_j0.c,v 1.6 1994/08/18 23:05:29 jtc Exp $"; * (To avoid cancellation, use * sin(x) +- cos(x) = -cos(2x)/(sin(x) -+ cos(x)) * to compute the worse one.) - * + * * 3 Special cases * j0(nan)= nan * j0(0) = 1 * j0(inf) = 0 - * + * * Method -- y0(x): * 1. For x<2. - * Since + * Since * y0(x) = 2/pi*(j0(x)*(ln(x/2)+Euler) + x^2/4 - ...) * therefore y0(x)-2/pi*j0(x)*ln(x) is an even function. * We use the following function to approximate y0, * y0(x) = U(z)/V(z) + (2/pi)*(j0(x)*ln(x)), z= x^2 - * where + * where * U(z) = u00 + u01*z + ... + u06*z^6 * V(z) = 1 + v01*z + ... + v04*z^4 * with absolute approximation error bounded by 2**-72. @@ -69,9 +69,9 @@ static double pzero(), qzero(); #endif #ifdef __STDC__ -static const double +static const double #else -static double +static double #endif huge = 1e300, one = 1.0, @@ -94,9 +94,9 @@ static double zero = 0.0; #endif #ifdef __STDC__ - double __ieee754_j0(double x) + double __ieee754_j0(double x) #else - double __ieee754_j0(x) + double __ieee754_j0(x) double x; #endif { @@ -163,9 +163,9 @@ v03 = 2.59150851840457805467e-07, /* 0x3E91642D, 0x7FF202FD */ v04 = 4.41110311332675467403e-10; /* 0x3DFE5018, 0x3BD6D9EF */ #ifdef __STDC__ - double __ieee754_y0(double x) + double __ieee754_y0(double x) #else - double __ieee754_y0(x) + double __ieee754_y0(x) double x; #endif { @@ -175,7 +175,7 @@ v04 = 4.41110311332675467403e-10; /* 0x3DFE5018, 0x3BD6D9EF */ EXTRACT_WORDS(hx,lx,x); ix = 0x7fffffff&hx; /* Y0(NaN) is NaN, y0(-inf) is Nan, y0(inf) is 0 */ - if(ix>=0x7ff00000) return one/(x+x*x); + if(ix>=0x7ff00000) return one/(x+x*x); if((ix|lx)==0) return -one/zero; if(hx<0) return zero/zero; if(ix >= 0x40000000) { /* |x| >= 2.0 */ @@ -349,7 +349,7 @@ static double pS2[5] = { s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*q[4])))); return one+ r/s; } - + /* For x >= 8, the asymptotic expansions of qzero is * -1/8 s + 75/1024 s^3 - ..., where s = 1/x. diff --git a/lib/msun/src/e_j0f.c b/lib/msun/src/e_j0f.c index ce8e510..ce416fa 100644 --- a/lib/msun/src/e_j0f.c +++ b/lib/msun/src/e_j0f.c @@ -8,13 +8,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: e_j0f.c,v 1.2 1994/08/18 23:05:32 jtc Exp $"; +static char rcsid[] = "$Id: e_j0f.c,v 1.1.1.1 1994/08/19 09:39:55 jkh Exp $"; #endif #include "math.h" @@ -27,9 +27,9 @@ static float pzerof(), qzerof(); #endif #ifdef __STDC__ -static const float +static const float #else -static float +static float #endif huge = 1e30, one = 1.0, @@ -52,9 +52,9 @@ static float zero = 0.0; #endif #ifdef __STDC__ - float __ieee754_j0f(float x) + float __ieee754_j0f(float x) #else - float __ieee754_j0f(x) + float __ieee754_j0f(x) float x; #endif { @@ -121,9 +121,9 @@ v03 = 2.5915085189e-07, /* 0x348b216c */ v04 = 4.4111031494e-10; /* 0x2ff280c2 */ #ifdef __STDC__ - float __ieee754_y0f(float x) + float __ieee754_y0f(float x) #else - float __ieee754_y0f(x) + float __ieee754_y0f(x) float x; #endif { @@ -133,7 +133,7 @@ v04 = 4.4111031494e-10; /* 0x2ff280c2 */ GET_FLOAT_WORD(hx,x); ix = 0x7fffffff&hx; /* Y0(NaN) is NaN, y0(-inf) is Nan, y0(inf) is 0 */ - if(ix>=0x7f800000) return one/(x+x*x); + if(ix>=0x7f800000) return one/(x+x*x); if(ix==0) return -one/zero; if(hx<0) return zero/zero; if(ix >= 0x40000000) { /* |x| >= 2.0 */ @@ -306,7 +306,7 @@ static float pS2[5] = { s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*q[4])))); return one+ r/s; } - + /* For x >= 8, the asymptotic expansions of qzero is * -1/8 s + 75/1024 s^3 - ..., where s = 1/x. diff --git a/lib/msun/src/e_j1.c b/lib/msun/src/e_j1.c index 407b84c..f577368 100644 --- a/lib/msun/src/e_j1.c +++ b/lib/msun/src/e_j1.c @@ -5,13 +5,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: e_j1.c,v 1.6 1994/08/18 23:05:33 jtc Exp $"; +static char rcsid[] = "$Id: e_j1.c,v 1.1.1.1 1994/08/19 09:39:44 jkh Exp $"; #endif /* __ieee754_j1(x), __ieee754_y1(x) @@ -34,16 +34,16 @@ static char rcsid[] = "$Id: e_j1.c,v 1.6 1994/08/18 23:05:33 jtc Exp $"; * (To avoid cancellation, use * sin(x) +- cos(x) = -cos(2x)/(sin(x) -+ cos(x)) * to compute the worse one.) - * + * * 3 Special cases * j1(nan)= nan * j1(0) = 0 * j1(inf) = 0 - * + * * Method -- y1(x): - * 1. screen out x<=0 cases: y1(0)=-inf, y1(x<0)=NaN + * 1. screen out x<=0 cases: y1(0)=-inf, y1(x<0)=NaN * 2. For x<2. - * Since + * Since * y1(x) = 2/pi*(j1(x)*(ln(x/2)+Euler)-1/x-x/2+5/64*x^3-...) * therefore y1(x)-2/pi*j1(x)*ln(x)-1/x is an odd function. * We use the following function to approximate y1, @@ -69,9 +69,9 @@ static double pone(), qone(); #endif #ifdef __STDC__ -static const double +static const double #else -static double +static double #endif huge = 1e300, one = 1.0, @@ -95,9 +95,9 @@ static double zero = 0.0; #endif #ifdef __STDC__ - double __ieee754_j1(double x) + double __ieee754_j1(double x) #else - double __ieee754_j1(x) + double __ieee754_j1(x) double x; #endif { @@ -164,9 +164,9 @@ static double V0[5] = { }; #ifdef __STDC__ - double __ieee754_y1(double x) + double __ieee754_y1(double x) #else - double __ieee754_y1(x) + double __ieee754_y1(x) double x; #endif { @@ -176,7 +176,7 @@ static double V0[5] = { EXTRACT_WORDS(hx,lx,x); ix = 0x7fffffff&hx; /* if Y1(NaN) is NaN, Y1(-inf) is NaN, Y1(inf) is 0 */ - if(ix>=0x7ff00000) return one/(x+x*x); + if(ix>=0x7ff00000) return one/(x+x*x); if((ix|lx)==0) return -one/zero; if(hx<0) return zero/zero; if(ix >= 0x40000000) { /* |x| >= 2.0 */ @@ -206,10 +206,10 @@ static double V0[5] = { z = invsqrtpi*(u*ss+v*cc)/sqrt(x); } return z; - } + } if(ix<=0x3c900000) { /* x < 2**-54 */ return(-tpi/x); - } + } z = x*x; u = U0[0]+z*(U0[1]+z*(U0[2]+z*(U0[3]+z*U0[4]))); v = one+z*(V0[0]+z*(V0[1]+z*(V0[2]+z*(V0[3]+z*V0[4])))); @@ -347,7 +347,7 @@ static double ps2[5] = { s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*q[4])))); return one+ r/s; } - + /* For x >= 8, the asymptotic expansions of qone is * 3/8 s - 105/1024 s^3 - ..., where s = 1/x. diff --git a/lib/msun/src/e_j1f.c b/lib/msun/src/e_j1f.c index 9fa43fc..f06b300 100644 --- a/lib/msun/src/e_j1f.c +++ b/lib/msun/src/e_j1f.c @@ -8,13 +8,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: e_j1f.c,v 1.2 1994/08/18 23:05:35 jtc Exp $"; +static char rcsid[] = "$Id: e_j1f.c,v 1.1.1.1 1994/08/19 09:39:55 jkh Exp $"; #endif #include "math.h" @@ -27,9 +27,9 @@ static float ponef(), qonef(); #endif #ifdef __STDC__ -static const float +static const float #else -static float +static float #endif huge = 1e30, one = 1.0, @@ -53,9 +53,9 @@ static float zero = 0.0; #endif #ifdef __STDC__ - float __ieee754_j1f(float x) + float __ieee754_j1f(float x) #else - float __ieee754_j1f(x) + float __ieee754_j1f(x) float x; #endif { @@ -122,9 +122,9 @@ static float V0[5] = { }; #ifdef __STDC__ - float __ieee754_y1f(float x) + float __ieee754_y1f(float x) #else - float __ieee754_y1f(x) + float __ieee754_y1f(x) float x; #endif { @@ -134,7 +134,7 @@ static float V0[5] = { GET_FLOAT_WORD(hx,x); ix = 0x7fffffff&hx; /* if Y1(NaN) is NaN, Y1(-inf) is NaN, Y1(inf) is 0 */ - if(ix>=0x7f800000) return one/(x+x*x); + if(ix>=0x7f800000) return one/(x+x*x); if(ix==0) return -one/zero; if(hx<0) return zero/zero; if(ix >= 0x40000000) { /* |x| >= 2.0 */ @@ -164,10 +164,10 @@ static float V0[5] = { z = invsqrtpi*(u*ss+v*cc)/sqrtf(x); } return z; - } + } if(ix<=0x24800000) { /* x < 2**-54 */ return(-tpi/x); - } + } z = x*x; u = U0[0]+z*(U0[1]+z*(U0[2]+z*(U0[3]+z*U0[4]))); v = one+z*(V0[0]+z*(V0[1]+z*(V0[2]+z*(V0[3]+z*V0[4])))); @@ -305,7 +305,7 @@ static float ps2[5] = { s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*q[4])))); return one+ r/s; } - + /* For x >= 8, the asymptotic expansions of qone is * 3/8 s - 105/1024 s^3 - ..., where s = 1/x. diff --git a/lib/msun/src/e_jn.c b/lib/msun/src/e_jn.c index b064149..ae309f0 100644 --- a/lib/msun/src/e_jn.c +++ b/lib/msun/src/e_jn.c @@ -5,20 +5,20 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: e_jn.c,v 1.1.1.1 1994/08/19 09:39:44 jkh Exp $"; +static char rcsid[] = "$Id: e_jn.c,v 1.2 1995/04/07 23:13:42 bde Exp $"; #endif /* * __ieee754_jn(n, x), __ieee754_yn(n, x) * floating point Bessel's function of the 1st and 2nd kind * of order n - * + * * Special cases: * y0(0)=y1(0)=yn(n,0) = -inf with division by zero signal; * y0(-ve)=y1(-ve)=yn(n,-ve) are NaN with invalid signal. @@ -37,7 +37,7 @@ static char rcsid[] = "$Id: e_jn.c,v 1.1.1.1 1994/08/19 09:39:44 jkh Exp $"; * yn(n,x) is similar in all respects, except * that forward recursion is used for all * values of n>1. - * + * */ #include "math.h" @@ -76,7 +76,7 @@ static double zero = 0.00000000000000000000e+00; ix = 0x7fffffff&hx; /* if J(n,NaN) is NaN */ if((ix|((u_int32_t)(lx|-lx))>>31)>0x7ff00000) return x+x; - if(n<0){ + if(n<0){ n = -n; x = -x; hx ^= 0x80000000; @@ -87,13 +87,13 @@ static double zero = 0.00000000000000000000e+00; x = fabs(x); if((ix|lx)==0||ix>=0x7ff00000) /* if x is 0 or inf */ b = zero; - else if((double)n<=x) { + else if((double)n<=x) { /* Safe to use J(n+1,x)=2n/x *J(n,x)-J(n-1,x) */ if(ix>=0x52D00000) { /* x > 2**302 */ - /* (x >> n**2) + /* (x >> n**2) * Jn(x) = cos(x-(2n+1)*pi/4)*sqrt(2/x*pi) * Yn(x) = sin(x-(2n+1)*pi/4)*sqrt(2/x*pi) - * Let s=sin(x), c=cos(x), + * Let s=sin(x), c=cos(x), * xn=x-(2n+1)*pi/4, sqt2 = sqrt(2),then * * n sin(xn)*sqt2 cos(xn)*sqt2 @@ -110,7 +110,7 @@ static double zero = 0.00000000000000000000e+00; case 3: temp = cos(x)-sin(x); break; } b = invsqrtpi*temp/sqrt(x); - } else { + } else { a = __ieee754_j0(x); b = __ieee754_j1(x); for(i=1;i33) /* underflow */ @@ -136,14 +136,14 @@ static double zero = 0.00000000000000000000e+00; } } else { /* use backward recurrence */ - /* x x^2 x^2 + /* x x^2 x^2 * J(n,x)/J(n-1,x) = ---- ------ ------ ..... * 2n - 2(n+1) - 2(n+2) * - * 1 1 1 + * 1 1 1 * (for large x) = ---- ------ ------ ..... * 2n 2(n+1) 2(n+2) - * -- - ------ - ------ - + * -- - ------ - ------ - * x x x * * Let w = 2n/x and h=2/x, then the above quotient @@ -159,9 +159,9 @@ static double zero = 0.00000000000000000000e+00; * To determine how many terms needed, let * Q(0) = w, Q(1) = w(w+h) - 1, * Q(k) = (w+k*h)*Q(k-1) - Q(k-2), - * When Q(k) > 1e4 good for single - * When Q(k) > 1e9 good for double - * When Q(k) > 1e17 good for quadruple + * When Q(k) > 1e4 good for single + * When Q(k) > 1e9 good for double + * When Q(k) > 1e17 good for quadruple */ /* determine k */ double t,v; @@ -183,7 +183,7 @@ static double zero = 0.00000000000000000000e+00; * single 8.8722839355e+01 * double 7.09782712893383973096e+02 * long double 1.1356523406294143949491931077970765006170e+04 - * then recurrent value may overflow and the result is + * then recurrent value may overflow and the result is * likely underflow to zero */ tmp = n; @@ -219,9 +219,9 @@ static double zero = 0.00000000000000000000e+00; } #ifdef __STDC__ - double __ieee754_yn(int n, double x) + double __ieee754_yn(int n, double x) #else - double __ieee754_yn(n,x) + double __ieee754_yn(n,x) int n; double x; #endif { @@ -244,10 +244,10 @@ static double zero = 0.00000000000000000000e+00; if(n==1) return(sign*__ieee754_y1(x)); if(ix==0x7ff00000) return zero; if(ix>=0x52D00000) { /* x > 2**302 */ - /* (x >> n**2) + /* (x >> n**2) * Jn(x) = cos(x-(2n+1)*pi/4)*sqrt(2/x*pi) * Yn(x) = sin(x-(2n+1)*pi/4)*sqrt(2/x*pi) - * Let s=sin(x), c=cos(x), + * Let s=sin(x), c=cos(x), * xn=x-(2n+1)*pi/4, sqt2 = sqrt(2),then * * n sin(xn)*sqt2 cos(xn)*sqt2 @@ -270,7 +270,7 @@ static double zero = 0.00000000000000000000e+00; b = __ieee754_y1(x); /* quit if b is -inf */ GET_HIGH_WORD(high,b); - for(i=1;i0x7f800000) return x+x; - if(n<0){ + if(n<0){ n = -n; x = -x; hx ^= 0x80000000; @@ -64,7 +64,7 @@ static float zero = 0.0000000000e+00; x = fabsf(x); if(ix==0||ix>=0x7f800000) /* if x is 0 or inf */ b = zero; - else if((float)n<=x) { + else if((float)n<=x) { /* Safe to use J(n+1,x)=2n/x *J(n,x)-J(n-1,x) */ a = __ieee754_j0f(x); b = __ieee754_j1f(x); @@ -75,7 +75,7 @@ static float zero = 0.0000000000e+00; } } else { if(ix<0x30800000) { /* x < 2**-29 */ - /* x is tiny, return the first Taylor expansion of J(n,x) + /* x is tiny, return the first Taylor expansion of J(n,x) * J(n,x) = 1/n!*(x/2)^n - ... */ if(n>33) /* underflow */ @@ -90,14 +90,14 @@ static float zero = 0.0000000000e+00; } } else { /* use backward recurrence */ - /* x x^2 x^2 + /* x x^2 x^2 * J(n,x)/J(n-1,x) = ---- ------ ------ ..... * 2n - 2(n+1) - 2(n+2) * - * 1 1 1 + * 1 1 1 * (for large x) = ---- ------ ------ ..... * 2n 2(n+1) 2(n+2) - * -- - ------ - ------ - + * -- - ------ - ------ - * x x x * * Let w = 2n/x and h=2/x, then the above quotient @@ -113,9 +113,9 @@ static float zero = 0.0000000000e+00; * To determine how many terms needed, let * Q(0) = w, Q(1) = w(w+h) - 1, * Q(k) = (w+k*h)*Q(k-1) - Q(k-2), - * When Q(k) > 1e4 good for single - * When Q(k) > 1e9 good for double - * When Q(k) > 1e17 good for quadruple + * When Q(k) > 1e4 good for single + * When Q(k) > 1e9 good for double + * When Q(k) > 1e17 good for quadruple */ /* determine k */ float t,v; @@ -137,7 +137,7 @@ static float zero = 0.0000000000e+00; * single 8.8722839355e+01 * double 7.09782712893383973096e+02 * long double 1.1356523406294143949491931077970765006170e+04 - * then recurrent value may overflow and the result is + * then recurrent value may overflow and the result is * likely underflow to zero */ tmp = n; @@ -173,9 +173,9 @@ static float zero = 0.0000000000e+00; } #ifdef __STDC__ - float __ieee754_ynf(int n, float x) + float __ieee754_ynf(int n, float x) #else - float __ieee754_ynf(n,x) + float __ieee754_ynf(n,x) int n; float x; #endif { @@ -202,7 +202,7 @@ static float zero = 0.0000000000e+00; b = __ieee754_y1f(x); /* quit if b is -inf */ GET_FLOAT_WORD(ib,b); - for(i=1;i= 0x7ff00000) return x+x; k += (hx>>20)-1023; hx &= 0x000fffff; @@ -125,14 +125,14 @@ static double zero = 0.0; if(k==0) return f-R; else {dk=(double)k; return dk*ln2_hi-((R-dk*ln2_lo)-f);} } - s = f/(2.0+f); + s = f/(2.0+f); dk = (double)k; z = s*s; i = hx-0x6147a; w = z*z; j = 0x6b851-hx; - t1= w*(Lg2+w*(Lg4+w*Lg6)); - t2= z*(Lg1+w*(Lg3+w*(Lg5+w*Lg7))); + t1= w*(Lg2+w*(Lg4+w*Lg6)); + t2= z*(Lg1+w*(Lg3+w*(Lg5+w*Lg7))); i |= j; R = t2+t1; if(i>0) { diff --git a/lib/msun/src/e_log10.c b/lib/msun/src/e_log10.c index 69a2356..4f4ed28 100644 --- a/lib/msun/src/e_log10.c +++ b/lib/msun/src/e_log10.c @@ -5,37 +5,37 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: e_log10.c,v 1.1.1.1 1994/08/19 09:39:44 jkh Exp $"; +static char rcsid[] = "$Id: e_log10.c,v 1.2 1995/04/07 23:23:23 bde Exp $"; #endif /* __ieee754_log10(x) * Return the base 10 logarithm of x - * + * * Method : * Let log10_2hi = leading 40 bits of log10(2) and * log10_2lo = log10(2) - log10_2hi, * ivln10 = 1/log(10) rounded. * Then - * n = ilogb(x), + * n = ilogb(x), * if(n<0) n = n+1; * x = scalbn(x,-n); * log10(x) := n*log10_2hi + (n*log10_2lo + ivln10*log(x)) * * Note 1: - * To guarantee log10(10**n)=n, where 10**n is normal, the rounding + * To guarantee log10(10**n)=n, where 10**n is normal, the rounding * mode must set to Round-to-Nearest. * Note 2: * [1/log(10)] rounded to 53 bits has error .198 ulps; * log10 is monotonic at all binary break points. * * Special cases: - * log10(x) is NaN with signal if x < 0; + * log10(x) is NaN with signal if x < 0; * log10(+INF) is +INF with no signal; log10(0) is -INF with signal; * log10(NaN) is that NaN with no signal; * log10(10**N) = N for N=0,1,...,22. diff --git a/lib/msun/src/e_log10f.c b/lib/msun/src/e_log10f.c index d493ad8..3caa25a 100644 --- a/lib/msun/src/e_log10f.c +++ b/lib/msun/src/e_log10f.c @@ -8,13 +8,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: e_log10f.c,v 1.1.1.1 1994/08/19 09:39:56 jkh Exp $"; +static char rcsid[] = "$Id: e_log10f.c,v 1.2 1995/04/07 23:23:23 bde Exp $"; #endif #include "math.h" diff --git a/lib/msun/src/e_logf.c b/lib/msun/src/e_logf.c index b18bc76..1baef04 100644 --- a/lib/msun/src/e_logf.c +++ b/lib/msun/src/e_logf.c @@ -8,13 +8,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: e_logf.c,v 1.2 1994/08/18 23:05:48 jtc Exp $"; +static char rcsid[] = "$Id: e_logf.c,v 1.1.1.1 1994/08/19 09:39:57 jkh Exp $"; #endif #include "math.h" @@ -56,12 +56,12 @@ static float zero = 0.0; k=0; if (ix < 0x00800000) { /* x < 2**-126 */ - if ((ix&0x7fffffff)==0) + if ((ix&0x7fffffff)==0) return -two25/zero; /* log(+-0)=-inf */ if (ix<0) return (x-x)/zero; /* log(-#) = NaN */ k -= 25; x *= two25; /* subnormal number, scale up x */ GET_FLOAT_WORD(ix,x); - } + } if (ix >= 0x7f800000) return x+x; k += (ix>>23)-127; ix &= 0x007fffff; @@ -76,14 +76,14 @@ static float zero = 0.0; if(k==0) return f-R; else {dk=(float)k; return dk*ln2_hi-((R-dk*ln2_lo)-f);} } - s = f/((float)2.0+f); + s = f/((float)2.0+f); dk = (float)k; z = s*s; i = ix-(0x6147a<<3); w = z*z; j = (0x6b851<<3)-ix; - t1= w*(Lg2+w*(Lg4+w*Lg6)); - t2= z*(Lg1+w*(Lg3+w*(Lg5+w*Lg7))); + t1= w*(Lg2+w*(Lg4+w*Lg6)); + t2= z*(Lg1+w*(Lg3+w*(Lg5+w*Lg7))); i |= j; R = t2+t1; if(i>0) { diff --git a/lib/msun/src/e_pow.c b/lib/msun/src/e_pow.c index 80ac795..8bdc8a8 100644 --- a/lib/msun/src/e_pow.c +++ b/lib/msun/src/e_pow.c @@ -5,13 +5,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: e_pow.c,v 1.5 1994/08/18 23:05:51 jtc Exp $"; +static char rcsid[] = "$Id: e_pow.c,v 1.1.1.1 1994/08/19 09:39:44 jkh Exp $"; #endif /* __ieee754_pow(x,y) return x**y @@ -21,7 +21,7 @@ static char rcsid[] = "$Id: e_pow.c,v 1.5 1994/08/18 23:05:51 jtc Exp $"; * 1. Compute and return log2(x) in two pieces: * log2(x) = w1 + w2, * where w1 has 53-24 = 29 bit trailing zeros. - * 2. Perform y*log2(x) = n+y' by simulating muti-precision + * 2. Perform y*log2(x) = n+y' by simulating muti-precision * arithmetic, where |y'|<=0.5. * 3. Return x**y = 2**n*exp(y'*log2) * @@ -49,13 +49,13 @@ static char rcsid[] = "$Id: e_pow.c,v 1.5 1994/08/18 23:05:51 jtc Exp $"; * Accuracy: * pow(x,y) returns x**y nearly rounded. In particular * pow(integer,integer) - * always returns the correct integer provided it is + * always returns the correct integer provided it is * representable. * * Constants : - * The hexadecimal values are the intended ones for the following - * constants. The decimal values may be used, provided that the - * compiler will convert from decimal to binary accurately enough + * The hexadecimal values are the intended ones for the following + * constants. The decimal values may be used, provided that the + * compiler will convert from decimal to binary accurately enough * to produce the hexadecimal values shown. */ @@ -63,9 +63,9 @@ static char rcsid[] = "$Id: e_pow.c,v 1.5 1994/08/18 23:05:51 jtc Exp $"; #include "math_private.h" #ifdef __STDC__ -static const double +static const double #else -static double +static double #endif bp[] = {1.0, 1.5,}, dp_h[] = { 0.0, 5.84962487220764160156e-01,}, /* 0x3FE2B803, 0x40000000 */ @@ -117,12 +117,12 @@ ivln2_l = 1.92596299112661746887e-08; /* 0x3E54AE0B, 0xF85DDF44 =1/ln2 tail*/ ix = hx&0x7fffffff; iy = hy&0x7fffffff; /* y==zero: x**0 = 1 */ - if((iy|ly)==0) return one; + if((iy|ly)==0) return one; /* +-NaN return x+y */ if(ix > 0x7ff00000 || ((ix==0x7ff00000)&&(lx!=0)) || - iy > 0x7ff00000 || ((iy==0x7ff00000)&&(ly!=0))) - return x+y; + iy > 0x7ff00000 || ((iy==0x7ff00000)&&(ly!=0))) + return x+y; /* determine if y is an odd int when x < 0 * yisint = 0 ... y is not an integer @@ -130,7 +130,7 @@ ivln2_l = 1.92596299112661746887e-08; /* 0x3E54AE0B, 0xF85DDF44 =1/ln2 tail*/ * yisint = 2 ... y is an even int */ yisint = 0; - if(hx<0) { + if(hx<0) { if(iy>=0x43400000) yisint = 2; /* even integer y */ else if(iy>=0x3ff00000) { k = (iy>>20)-0x3ff; /* exponent */ @@ -141,11 +141,11 @@ ivln2_l = 1.92596299112661746887e-08; /* 0x3E54AE0B, 0xF85DDF44 =1/ln2 tail*/ j = iy>>(20-k); if((j<<(20-k))==iy) yisint = 2-(j&1); } - } - } + } + } /* special value of y */ - if(ly==0) { + if(ly==0) { if (iy==0x7ff00000) { /* y is +-inf */ if(((ix-0x3ff00000)|lx)==0) return y - y; /* inf**+-1 is NaN */ @@ -153,14 +153,14 @@ ivln2_l = 1.92596299112661746887e-08; /* 0x3E54AE0B, 0xF85DDF44 =1/ln2 tail*/ return (hy>=0)? y: zero; else /* (|x|<1)**-,+inf = inf,0 */ return (hy<0)?-y: zero; - } + } if(iy==0x3ff00000) { /* y is +-1 */ if(hy<0) return one/x; else return x; } if(hy==0x40000000) return x*x; /* y is 2 */ if(hy==0x3fe00000) { /* y is 0.5 */ if(hx>=0) /* x >= +0 */ - return sqrt(x); + return sqrt(x); } } @@ -173,13 +173,13 @@ ivln2_l = 1.92596299112661746887e-08; /* 0x3E54AE0B, 0xF85DDF44 =1/ln2 tail*/ if(hx<0) { if(((ix-0x3ff00000)|yisint)==0) { z = (z-z)/(z-z); /* (-1)**non-int is NaN */ - } else if(yisint==1) + } else if(yisint==1) z = -z; /* (x<0)**odd = -(|x|**odd) */ } return z; } } - + /* (x<0)**(non-int) is NaN */ /* CYGNUS LOCAL: This used to be if((((hx>>31)+1)|yisint)==0) return (x-x)/(x-x); @@ -196,7 +196,7 @@ ivln2_l = 1.92596299112661746887e-08; /* 0x3E54AE0B, 0xF85DDF44 =1/ln2 tail*/ /* over/underflow if x is not close to one */ if(ix<0x3fefffff) return (hy<0)? huge*huge:tiny*tiny; if(ix>0x3ff00000) return (hy>0)? huge*huge:tiny*tiny; - /* now |1-x| is tiny <= 2**-20, suffice to compute + /* now |1-x| is tiny <= 2**-20, suffice to compute log(x) by x-x^2/2+x^3/3-x^4/4 */ t = x-1; /* t has 20 trailing zeros */ w = (t*t)*(0.5-t*(0.3333333333333333333333-t*0.25)); @@ -293,7 +293,7 @@ ivln2_l = 1.92596299112661746887e-08; /* 0x3E54AE0B, 0xF85DDF44 =1/ln2 tail*/ n = ((n&0x000fffff)|0x00100000)>>(20-k); if(j<0) n = -n; p_h -= t; - } + } t = p_l+p_h; SET_LOW_WORD(t,0); u = t*lg2_h; diff --git a/lib/msun/src/e_powf.c b/lib/msun/src/e_powf.c index 2d1ef4a..7b268d3 100644 --- a/lib/msun/src/e_powf.c +++ b/lib/msun/src/e_powf.c @@ -8,13 +8,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: e_powf.c,v 1.2 1994/08/18 23:05:54 jtc Exp $"; +static char rcsid[] = "$Id: e_powf.c,v 1.1.1.1 1994/08/19 09:39:57 jkh Exp $"; #endif #include "math.h" @@ -74,12 +74,12 @@ ivln2_l = 7.0526075433e-06; /* 0x36eca570 =1/ln2 tail*/ ix = hx&0x7fffffff; iy = hy&0x7fffffff; /* y==zero: x**0 = 1 */ - if(iy==0) return one; + if(iy==0) return one; /* +-NaN return x+y */ if(ix > 0x7f800000 || iy > 0x7f800000) - return x+y; + return x+y; /* determine if y is an odd int when x < 0 * yisint = 0 ... y is not an integer @@ -87,14 +87,14 @@ ivln2_l = 7.0526075433e-06; /* 0x36eca570 =1/ln2 tail*/ * yisint = 2 ... y is an even int */ yisint = 0; - if(hx<0) { + if(hx<0) { if(iy>=0x4b800000) yisint = 2; /* even integer y */ else if(iy>=0x3f800000) { k = (iy>>23)-0x7f; /* exponent */ j = iy>>(23-k); if((j<<(23-k))==iy) yisint = 2-(j&1); - } - } + } + } /* special value of y */ if (iy==0x7f800000) { /* y is +-inf */ @@ -104,14 +104,14 @@ ivln2_l = 7.0526075433e-06; /* 0x36eca570 =1/ln2 tail*/ return (hy>=0)? y: zero; else /* (|x|<1)**-,+inf = inf,0 */ return (hy<0)?-y: zero; - } + } if(iy==0x3f800000) { /* y is +-1 */ if(hy<0) return one/x; else return x; } if(hy==0x40000000) return x*x; /* y is 2 */ if(hy==0x3f000000) { /* y is 0.5 */ if(hx>=0) /* x >= +0 */ - return sqrtf(x); + return sqrtf(x); } ax = fabsf(x); @@ -122,12 +122,12 @@ ivln2_l = 7.0526075433e-06; /* 0x36eca570 =1/ln2 tail*/ if(hx<0) { if(((ix-0x3f800000)|yisint)==0) { z = (z-z)/(z-z); /* (-1)**non-int is NaN */ - } else if(yisint==1) + } else if(yisint==1) z = -z; /* (x<0)**odd = -(|x|**odd) */ } return z; } - + /* (x<0)**(non-int) is NaN */ if(((((u_int32_t)hx>>31)-1)|yisint)==0) return (x-x)/(x-x); @@ -136,7 +136,7 @@ ivln2_l = 7.0526075433e-06; /* 0x36eca570 =1/ln2 tail*/ /* over/underflow if x is not close to one */ if(ix<0x3f7ffff8) return (hy<0)? huge*huge:tiny*tiny; if(ix>0x3f800007) return (hy>0)? huge*huge:tiny*tiny; - /* now |1-x| is tiny <= 2**-20, suffice to compute + /* now |1-x| is tiny <= 2**-20, suffice to compute log(x) by x-x^2/2+x^3/3-x^4/4 */ t = x-1; /* t has 20 trailing zeros */ w = (t*t)*((float)0.5-t*((float)0.333333333333-t*(float)0.25)); @@ -233,7 +233,7 @@ ivln2_l = 7.0526075433e-06; /* 0x36eca570 =1/ln2 tail*/ n = ((n&0x007fffff)|0x00800000)>>(23-k); if(j<0) n = -n; p_h -= t; - } + } t = p_l+p_h; GET_FLOAT_WORD(is,t); SET_FLOAT_WORD(t,is&0xfffff000); diff --git a/lib/msun/src/e_rem_pio2.c b/lib/msun/src/e_rem_pio2.c index be7cd50..5b1c3bf 100644 --- a/lib/msun/src/e_rem_pio2.c +++ b/lib/msun/src/e_rem_pio2.c @@ -5,18 +5,18 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: e_rem_pio2.c,v 1.1.1.1 1994/08/19 09:39:44 jkh Exp $"; +static char rcsid[] = "$Id: e_rem_pio2.c,v 1.2 1995/04/07 23:23:24 bde Exp $"; #endif /* __ieee754_rem_pio2(x,y) - * - * return the remainder of x rem pi/2 in y[0]+y[1] + * + * return the remainder of x rem pi/2 in y[0]+y[1] * use __kernel_rem_pio2() */ @@ -24,24 +24,24 @@ static char rcsid[] = "$Id: e_rem_pio2.c,v 1.1.1.1 1994/08/19 09:39:44 jkh Exp $ #include "math_private.h" /* - * Table of constants for 2/pi, 396 Hex digits (476 decimal) of 2/pi + * Table of constants for 2/pi, 396 Hex digits (476 decimal) of 2/pi */ #ifdef __STDC__ static const int32_t two_over_pi[] = { #else static int32_t two_over_pi[] = { #endif -0xA2F983, 0x6E4E44, 0x1529FC, 0x2757D1, 0xF534DD, 0xC0DB62, -0x95993C, 0x439041, 0xFE5163, 0xABDEBB, 0xC561B7, 0x246E3A, -0x424DD2, 0xE00649, 0x2EEA09, 0xD1921C, 0xFE1DEB, 0x1CB129, -0xA73EE8, 0x8235F5, 0x2EBB44, 0x84E99C, 0x7026B4, 0x5F7E41, -0x3991D6, 0x398353, 0x39F49C, 0x845F8B, 0xBDF928, 0x3B1FF8, -0x97FFDE, 0x05980F, 0xEF2F11, 0x8B5A0A, 0x6D1F6D, 0x367ECF, -0x27CB09, 0xB74F46, 0x3F669E, 0x5FEA2D, 0x7527BA, 0xC7EBE5, -0xF17B3D, 0x0739F7, 0x8A5292, 0xEA6BFB, 0x5FB11F, 0x8D5D08, -0x560330, 0x46FC7B, 0x6BABF0, 0xCFBC20, 0x9AF436, 0x1DA9E3, -0x91615E, 0xE61B08, 0x659985, 0x5F14A0, 0x68408D, 0xFFD880, -0x4D7327, 0x310606, 0x1556CA, 0x73A8C9, 0x60E27B, 0xC08C6B, +0xA2F983, 0x6E4E44, 0x1529FC, 0x2757D1, 0xF534DD, 0xC0DB62, +0x95993C, 0x439041, 0xFE5163, 0xABDEBB, 0xC561B7, 0x246E3A, +0x424DD2, 0xE00649, 0x2EEA09, 0xD1921C, 0xFE1DEB, 0x1CB129, +0xA73EE8, 0x8235F5, 0x2EBB44, 0x84E99C, 0x7026B4, 0x5F7E41, +0x3991D6, 0x398353, 0x39F49C, 0x845F8B, 0xBDF928, 0x3B1FF8, +0x97FFDE, 0x05980F, 0xEF2F11, 0x8B5A0A, 0x6D1F6D, 0x367ECF, +0x27CB09, 0xB74F46, 0x3F669E, 0x5FEA2D, 0x7527BA, 0xC7EBE5, +0xF17B3D, 0x0739F7, 0x8A5292, 0xEA6BFB, 0x5FB11F, 0x8D5D08, +0x560330, 0x46FC7B, 0x6BABF0, 0xCFBC20, 0x9AF436, 0x1DA9E3, +0x91615E, 0xE61B08, 0x659985, 0x5F14A0, 0x68408D, 0xFFD880, +0x4D7327, 0x310606, 0x1556CA, 0x73A8C9, 0x60E27B, 0xC08C6B, }; #ifdef __STDC__ @@ -68,9 +68,9 @@ static int32_t npio2_hw[] = { */ #ifdef __STDC__ -static const double +static const double #else -static double +static double #endif zero = 0.00000000000000000000e+00, /* 0x00000000, 0x00000000 */ half = 5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */ @@ -100,7 +100,7 @@ pio2_3t = 8.47842766036889956997e-32; /* 0x397B839A, 0x252049C1 */ if(ix<=0x3fe921fb) /* |x| ~<= pi/4 , no need for reduction */ {y[0] = x; y[1] = 0; return 0;} if(ix<0x4002d97c) { /* |x| < 3pi/4, special case with n=+-1 */ - if(hx>0) { + if(hx>0) { z = x - pio2_1; if(ix!=0x3ff921fb) { /* 33+53 bit pi is good enough */ y[0] = z - pio2_1t; @@ -130,27 +130,27 @@ pio2_3t = 8.47842766036889956997e-32; /* 0x397B839A, 0x252049C1 */ fn = (double)n; r = t-fn*pio2_1; w = fn*pio2_1t; /* 1st round good to 85 bit */ - if(n<32&&ix!=npio2_hw[n-1]) { + if(n<32&&ix!=npio2_hw[n-1]) { y[0] = r-w; /* quick check no cancellation */ } else { u_int32_t high; j = ix>>20; - y[0] = r-w; + y[0] = r-w; GET_HIGH_WORD(high,y[0]); i = j-((high>>20)&0x7ff); if(i>16) { /* 2nd iteration needed, good to 118 */ t = r; - w = fn*pio2_2; + w = fn*pio2_2; r = t-w; - w = fn*pio2_2t-((t-r)-w); + w = fn*pio2_2t-((t-r)-w); y[0] = r-w; GET_HIGH_WORD(high,y[0]); i = j-((high>>20)&0x7ff); if(i>49) { /* 3rd iteration need, 151 bits acc */ t = r; /* will cover all possible cases */ - w = fn*pio2_3; + w = fn*pio2_3; r = t-w; - w = fn*pio2_3t-((t-r)-w); + w = fn*pio2_3t-((t-r)-w); y[0] = r-w; } } @@ -159,7 +159,7 @@ pio2_3t = 8.47842766036889956997e-32; /* 0x397B839A, 0x252049C1 */ if(hx<0) {y[0] = -y[0]; y[1] = -y[1]; return -n;} else return n; } - /* + /* * all other (large) arguments */ if(ix>=0x7ff00000) { /* x is inf or NaN */ diff --git a/lib/msun/src/e_rem_pio2f.c b/lib/msun/src/e_rem_pio2f.c index 153a8c4..98c305f 100644 --- a/lib/msun/src/e_rem_pio2f.c +++ b/lib/msun/src/e_rem_pio2f.c @@ -8,18 +8,18 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: e_rem_pio2f.c,v 1.1.1.1 1994/08/19 09:39:57 jkh Exp $"; +static char rcsid[] = "$Id: e_rem_pio2f.c,v 1.2 1995/04/07 23:23:25 bde Exp $"; #endif /* __ieee754_rem_pio2f(x,y) - * - * return the remainder of x rem pi/2 in y[0]+y[1] + * + * return the remainder of x rem pi/2 in y[0]+y[1] * use __kernel_rem_pio2f() */ @@ -27,7 +27,7 @@ static char rcsid[] = "$Id: e_rem_pio2f.c,v 1.1.1.1 1994/08/19 09:39:57 jkh Exp #include "math_private.h" /* - * Table of constants for 2/pi, 396 Hex digits (476 decimal) of 2/pi + * Table of constants for 2/pi, 396 Hex digits (476 decimal) of 2/pi */ #ifdef __STDC__ static const int32_t two_over_pi[] = { @@ -35,27 +35,27 @@ static const int32_t two_over_pi[] = { static int32_t two_over_pi[] = { #endif 0xA2, 0xF9, 0x83, 0x6E, 0x4E, 0x44, 0x15, 0x29, 0xFC, -0x27, 0x57, 0xD1, 0xF5, 0x34, 0xDD, 0xC0, 0xDB, 0x62, +0x27, 0x57, 0xD1, 0xF5, 0x34, 0xDD, 0xC0, 0xDB, 0x62, 0x95, 0x99, 0x3C, 0x43, 0x90, 0x41, 0xFE, 0x51, 0x63, -0xAB, 0xDE, 0xBB, 0xC5, 0x61, 0xB7, 0x24, 0x6E, 0x3A, +0xAB, 0xDE, 0xBB, 0xC5, 0x61, 0xB7, 0x24, 0x6E, 0x3A, 0x42, 0x4D, 0xD2, 0xE0, 0x06, 0x49, 0x2E, 0xEA, 0x09, -0xD1, 0x92, 0x1C, 0xFE, 0x1D, 0xEB, 0x1C, 0xB1, 0x29, +0xD1, 0x92, 0x1C, 0xFE, 0x1D, 0xEB, 0x1C, 0xB1, 0x29, 0xA7, 0x3E, 0xE8, 0x82, 0x35, 0xF5, 0x2E, 0xBB, 0x44, -0x84, 0xE9, 0x9C, 0x70, 0x26, 0xB4, 0x5F, 0x7E, 0x41, +0x84, 0xE9, 0x9C, 0x70, 0x26, 0xB4, 0x5F, 0x7E, 0x41, 0x39, 0x91, 0xD6, 0x39, 0x83, 0x53, 0x39, 0xF4, 0x9C, -0x84, 0x5F, 0x8B, 0xBD, 0xF9, 0x28, 0x3B, 0x1F, 0xF8, +0x84, 0x5F, 0x8B, 0xBD, 0xF9, 0x28, 0x3B, 0x1F, 0xF8, 0x97, 0xFF, 0xDE, 0x05, 0x98, 0x0F, 0xEF, 0x2F, 0x11, -0x8B, 0x5A, 0x0A, 0x6D, 0x1F, 0x6D, 0x36, 0x7E, 0xCF, +0x8B, 0x5A, 0x0A, 0x6D, 0x1F, 0x6D, 0x36, 0x7E, 0xCF, 0x27, 0xCB, 0x09, 0xB7, 0x4F, 0x46, 0x3F, 0x66, 0x9E, -0x5F, 0xEA, 0x2D, 0x75, 0x27, 0xBA, 0xC7, 0xEB, 0xE5, +0x5F, 0xEA, 0x2D, 0x75, 0x27, 0xBA, 0xC7, 0xEB, 0xE5, 0xF1, 0x7B, 0x3D, 0x07, 0x39, 0xF7, 0x8A, 0x52, 0x92, -0xEA, 0x6B, 0xFB, 0x5F, 0xB1, 0x1F, 0x8D, 0x5D, 0x08, +0xEA, 0x6B, 0xFB, 0x5F, 0xB1, 0x1F, 0x8D, 0x5D, 0x08, 0x56, 0x03, 0x30, 0x46, 0xFC, 0x7B, 0x6B, 0xAB, 0xF0, -0xCF, 0xBC, 0x20, 0x9A, 0xF4, 0x36, 0x1D, 0xA9, 0xE3, +0xCF, 0xBC, 0x20, 0x9A, 0xF4, 0x36, 0x1D, 0xA9, 0xE3, 0x91, 0x61, 0x5E, 0xE6, 0x1B, 0x08, 0x65, 0x99, 0x85, -0x5F, 0x14, 0xA0, 0x68, 0x40, 0x8D, 0xFF, 0xD8, 0x80, +0x5F, 0x14, 0xA0, 0x68, 0x40, 0x8D, 0xFF, 0xD8, 0x80, 0x4D, 0x73, 0x27, 0x31, 0x06, 0x06, 0x15, 0x56, 0xCA, -0x73, 0xA8, 0xC9, 0x60, 0xE2, 0x7B, 0xC0, 0x8C, 0x6B, +0x73, 0xA8, 0xC9, 0x60, 0xE2, 0x7B, 0xC0, 0x8C, 0x6B, }; /* This array is like the one in e_rem_pio2.c, but the numbers are @@ -84,9 +84,9 @@ static int32_t npio2_hw[] = { */ #ifdef __STDC__ -static const float +static const float #else -static float +static float #endif zero = 0.0000000000e+00, /* 0x00000000 */ half = 5.0000000000e-01, /* 0x3f000000 */ @@ -115,7 +115,7 @@ pio2_3t = 6.1232342629e-17; /* 0x248d3132 */ if(ix<=0x3f490fd8) /* |x| ~<= pi/4 , no need for reduction */ {y[0] = x; y[1] = 0; return 0;} if(ix<0x4016cbe4) { /* |x| < 3pi/4, special case with n=+-1 */ - if(hx>0) { + if(hx>0) { z = x - pio2_1; if((ix&0xfffffff0)!=0x3fc90fd0) { /* 24+24 bit pi OK */ y[0] = z - pio2_1t; @@ -145,27 +145,27 @@ pio2_3t = 6.1232342629e-17; /* 0x248d3132 */ fn = (float)n; r = t-fn*pio2_1; w = fn*pio2_1t; /* 1st round good to 40 bit */ - if(n<32&&(ix&0xffffff00)!=npio2_hw[n-1]) { + if(n<32&&(ix&0xffffff00)!=npio2_hw[n-1]) { y[0] = r-w; /* quick check no cancellation */ } else { u_int32_t high; j = ix>>23; - y[0] = r-w; + y[0] = r-w; GET_FLOAT_WORD(high,y[0]); i = j-((high>>23)&0xff); if(i>8) { /* 2nd iteration needed, good to 57 */ t = r; - w = fn*pio2_2; + w = fn*pio2_2; r = t-w; - w = fn*pio2_2t-((t-r)-w); + w = fn*pio2_2t-((t-r)-w); y[0] = r-w; GET_FLOAT_WORD(high,y[0]); i = j-((high>>23)&0xff); if(i>25) { /* 3rd iteration need, 74 bits acc */ t = r; /* will cover all possible cases */ - w = fn*pio2_3; + w = fn*pio2_3; r = t-w; - w = fn*pio2_3t-((t-r)-w); + w = fn*pio2_3t-((t-r)-w); y[0] = r-w; } } @@ -174,7 +174,7 @@ pio2_3t = 6.1232342629e-17; /* 0x248d3132 */ if(hx<0) {y[0] = -y[0]; y[1] = -y[1]; return -n;} else return n; } - /* + /* * all other (large) arguments */ if(ix>=0x7f800000) { /* x is inf or NaN */ diff --git a/lib/msun/src/e_remainder.c b/lib/msun/src/e_remainder.c index cf82a49..430418d 100644 --- a/lib/msun/src/e_remainder.c +++ b/lib/msun/src/e_remainder.c @@ -5,21 +5,21 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: e_remainder.c,v 1.6 1994/08/18 23:06:00 jtc Exp $"; +static char rcsid[] = "$Id: e_remainder.c,v 1.1.1.1 1994/08/19 09:39:44 jkh Exp $"; #endif /* __ieee754_remainder(x,p) - * Return : - * returns x REM p = x - [x/p]*p as if in infinite - * precise arithmetic, where [x/p] is the (infinite bit) + * Return : + * returns x REM p = x - [x/p]*p as if in infinite + * precise arithmetic, where [x/p] is the (infinite bit) * integer nearest x/p (in half way case choose the even one). - * Method : + * Method : * Based on fmod() return x-[x/p]chopped*p exactlp. */ diff --git a/lib/msun/src/e_remainderf.c b/lib/msun/src/e_remainderf.c index 966b216..cc66ba4 100644 --- a/lib/msun/src/e_remainderf.c +++ b/lib/msun/src/e_remainderf.c @@ -8,13 +8,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: e_remainderf.c,v 1.2 1994/08/18 23:06:02 jtc Exp $"; +static char rcsid[] = "$Id: e_remainderf.c,v 1.1.1.1 1994/08/19 09:39:57 jkh Exp $"; #endif #include "math.h" diff --git a/lib/msun/src/e_scalb.c b/lib/msun/src/e_scalb.c index 32a2703..1000bc7 100644 --- a/lib/msun/src/e_scalb.c +++ b/lib/msun/src/e_scalb.c @@ -5,18 +5,18 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: e_scalb.c,v 1.4 1994/08/10 20:31:26 jtc Exp $"; +static char rcsid[] = "$Id: e_scalb.c,v 1.1.1.1 1994/08/19 09:39:44 jkh Exp $"; #endif /* * __ieee754_scalb(x, fn) is provide for - * passing various standard test suite. One + * passing various standard test suite. One * should use scalbn() instead. */ diff --git a/lib/msun/src/e_scalbf.c b/lib/msun/src/e_scalbf.c index 6906c24..0dff855 100644 --- a/lib/msun/src/e_scalbf.c +++ b/lib/msun/src/e_scalbf.c @@ -8,13 +8,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: e_scalbf.c,v 1.1 1994/08/10 20:31:27 jtc Exp $"; +static char rcsid[] = "$Id: e_scalbf.c,v 1.1.1.1 1994/08/19 09:39:57 jkh Exp $"; #endif #include "math.h" diff --git a/lib/msun/src/e_sinh.c b/lib/msun/src/e_sinh.c index f39019c..9f68f43 100644 --- a/lib/msun/src/e_sinh.c +++ b/lib/msun/src/e_sinh.c @@ -5,25 +5,25 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: e_sinh.c,v 1.5 1994/08/18 23:06:03 jtc Exp $"; +static char rcsid[] = "$Id: e_sinh.c,v 1.1.1.1 1994/08/19 09:39:44 jkh Exp $"; #endif /* __ieee754_sinh(x) - * Method : + * Method : * mathematically sinh(x) if defined to be (exp(x)-exp(-x))/2 - * 1. Replace x by |x| (sinh(-x) = -sinh(x)). - * 2. + * 1. Replace x by |x| (sinh(-x) = -sinh(x)). + * 2. * E + E/(E+1) * 0 <= x <= 22 : sinh(x) := --------------, E=expm1(x) * 2 * - * 22 <= x <= lnovft : sinh(x) := exp(x)/2 + * 22 <= x <= lnovft : sinh(x) := exp(x)/2 * lnovft <= x <= ln2ovft: sinh(x) := exp(x/2)/2 * exp(x/2) * ln2ovft < x : sinh(x) := x*shuge (overflow) * @@ -47,7 +47,7 @@ static double one = 1.0, shuge = 1.0e307; double __ieee754_sinh(x) double x; #endif -{ +{ double t,w,h; int32_t ix,jx; u_int32_t lx; @@ -57,7 +57,7 @@ static double one = 1.0, shuge = 1.0e307; ix = jx&0x7fffffff; /* x is INF or NaN */ - if(ix>=0x7ff00000) return x+x; + if(ix>=0x7ff00000) return x+x; h = 0.5; if (jx<0) h = -h; diff --git a/lib/msun/src/e_sinhf.c b/lib/msun/src/e_sinhf.c index 5c06440..9c6e45b 100644 --- a/lib/msun/src/e_sinhf.c +++ b/lib/msun/src/e_sinhf.c @@ -8,13 +8,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: e_sinhf.c,v 1.2 1994/08/18 23:06:04 jtc Exp $"; +static char rcsid[] = "$Id: e_sinhf.c,v 1.1.1.1 1994/08/19 09:39:57 jkh Exp $"; #endif #include "math.h" @@ -32,7 +32,7 @@ static float one = 1.0, shuge = 1.0e37; float __ieee754_sinhf(x) float x; #endif -{ +{ float t,w,h; int32_t ix,jx; @@ -40,7 +40,7 @@ static float one = 1.0, shuge = 1.0e37; ix = jx&0x7fffffff; /* x is INF or NaN */ - if(ix>=0x7f800000) return x+x; + if(ix>=0x7f800000) return x+x; h = 0.5; if (jx<0) h = -h; diff --git a/lib/msun/src/e_sqrt.c b/lib/msun/src/e_sqrt.c index 257f498..d805e33 100644 --- a/lib/msun/src/e_sqrt.c +++ b/lib/msun/src/e_sqrt.c @@ -5,13 +5,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: e_sqrt.c,v 1.6 1994/08/18 23:06:06 jtc Exp $"; +static char rcsid[] = "$Id: e_sqrt.c,v 1.1.1.1 1994/08/19 09:39:44 jkh Exp $"; #endif /* __ieee754_sqrt(x) @@ -19,10 +19,10 @@ static char rcsid[] = "$Id: e_sqrt.c,v 1.6 1994/08/18 23:06:06 jtc Exp $"; * ------------------------------------------ * | Use the hardware sqrt if you have one | * ------------------------------------------ - * Method: - * Bit by bit method using integer arithmetic. (Slow, but portable) + * Method: + * Bit by bit method using integer arithmetic. (Slow, but portable) * 1. Normalization - * Scale x to y in [1,4) with even powers of 2: + * Scale x to y in [1,4) with even powers of 2: * find an integer k such that 1 <= (y=x*2^(2k)) < 4, then * sqrt(x) = 2^k * sqrt(y) * 2. Bit by bit computation @@ -31,9 +31,9 @@ static char rcsid[] = "$Id: e_sqrt.c,v 1.6 1994/08/18 23:06:06 jtc Exp $"; * i+1 2 * s = 2*q , and y = 2 * ( y - q ). (1) * i i i i - * - * To compute q from q , one checks whether - * i+1 i + * + * To compute q from q , one checks whether + * i+1 i * * -(i+1) 2 * (q + 2 ) <= y. (2) @@ -43,12 +43,12 @@ static char rcsid[] = "$Id: e_sqrt.c,v 1.6 1994/08/18 23:06:06 jtc Exp $"; * i+1 i i+1 i * * With some algebric manipulation, it is not difficult to see - * that (2) is equivalent to + * that (2) is equivalent to * -(i+1) * s + 2 <= y (3) * i i * - * The advantage of (3) is that s and y can be computed by + * The advantage of (3) is that s and y can be computed by * i i * the following recurrence formula: * if (3) is false @@ -60,10 +60,10 @@ static char rcsid[] = "$Id: e_sqrt.c,v 1.6 1994/08/18 23:06:06 jtc Exp $"; * -i -(i+1) * s = s + 2 , y = y - s - 2 (5) * i+1 i i+1 i i - * - * One may easily use induction to prove (4) and (5). + * + * One may easily use induction to prove (4) and (5). * Note. Since the left hand side of (3) contain only i+2 bits, - * it does not necessary to do a full (53-bit) comparison + * it does not necessary to do a full (53-bit) comparison * in (3). * 3. Final rounding * After generating the 53 bits result, we compute one more bit. @@ -73,7 +73,7 @@ static char rcsid[] = "$Id: e_sqrt.c,v 1.6 1994/08/18 23:06:06 jtc Exp $"; * The rounding mode can be detected by checking whether * huge + tiny is equal to huge, and whether huge - tiny is * equal to huge for some floating point number "huge" and "tiny". - * + * * Special cases: * sqrt(+-0) = +-0 ... exact * sqrt(inf) = inf @@ -101,17 +101,17 @@ static double one = 1.0, tiny=1.0e-300; #endif { double z; - int32_t sign = (int)0x80000000; + int32_t sign = (int)0x80000000; int32_t ix0,s0,q,m,t,i; u_int32_t r,t1,s1,ix1,q1; EXTRACT_WORDS(ix0,ix1,x); /* take care of Inf and NaN */ - if((ix0&0x7ff00000)==0x7ff00000) { + if((ix0&0x7ff00000)==0x7ff00000) { return x*x+x; /* sqrt(NaN)=NaN, sqrt(+inf)=+inf sqrt(-inf)=sNaN */ - } + } /* take care of zero */ if(ix0<=0) { if(((ix0&(~sign))|ix1)==0) return x;/* sqrt(+-0) = +-0 */ @@ -145,12 +145,12 @@ static double one = 1.0, tiny=1.0e-300; r = 0x00200000; /* r = moving bit from right to left */ while(r!=0) { - t = s0+r; - if(t<=ix0) { - s0 = t+r; - ix0 -= t; - q += r; - } + t = s0+r; + if(t<=ix0) { + s0 = t+r; + ix0 -= t; + q += r; + } ix0 += ix0 + ((ix1&sign)>>31); ix1 += ix1; r>>=1; @@ -158,9 +158,9 @@ static double one = 1.0, tiny=1.0e-300; r = sign; while(r!=0) { - t1 = s1+r; + t1 = s1+r; t = s0; - if((tone) { if (q1==(u_int32_t)0xfffffffe) q+=1; - q1+=2; + q1+=2; } else q1 += (q1&1); } @@ -197,18 +197,18 @@ static double one = 1.0, tiny=1.0e-300; /* Other methods (use floating-point arithmetic) ------------- -(This is a copy of a drafted paper by Prof W. Kahan +(This is a copy of a drafted paper by Prof W. Kahan and K.C. Ng, written in May, 1986) - Two algorithms are given here to implement sqrt(x) + Two algorithms are given here to implement sqrt(x) (IEEE double precision arithmetic) in software. Both supply sqrt(x) correctly rounded. The first algorithm (in Section A) uses newton iterations and involves four divisions. The second one uses reciproot iterations to avoid division, but requires more multiplications. Both algorithms need the ability - to chop results of arithmetic operations instead of round them, + to chop results of arithmetic operations instead of round them, and the INEXACT flag to indicate when an arithmetic operation - is executed exactly with no roundoff error, all part of the + is executed exactly with no roundoff error, all part of the standard (IEEE 754-1985). The ability to perform shift, add, subtract and logical AND operations upon 32-bit words is needed too, though not part of the standard. @@ -218,7 +218,7 @@ A. sqrt(x) by Newton Iteration (1) Initial approximation Let x0 and x1 be the leading and the trailing 32-bit words of - a floating point number x (in IEEE double format) respectively + a floating point number x (in IEEE double format) respectively 1 11 52 ...widths ------------------------------------------------------ @@ -226,7 +226,7 @@ A. sqrt(x) by Newton Iteration ------------------------------------------------------ msb lsb msb lsb ...order - + ------------------------ ------------------------ x0: |s| e | f1 | x1: | f2 | ------------------------ ------------------------ @@ -251,7 +251,7 @@ A. sqrt(x) by Newton Iteration (2) Iterative refinement - Apply Heron's rule three times to y, we have y approximates + Apply Heron's rule three times to y, we have y approximates sqrt(x) to within 1 ulp (Unit in the Last Place): y := (y+x/y)/2 ... almost 17 sig. bits @@ -276,12 +276,12 @@ A. sqrt(x) by Newton Iteration it requires more multiplications and additions. Also x must be scaled in advance to avoid spurious overflow in evaluating the expression 3y*y+x. Hence it is not recommended uless division - is slow. If division is very slow, then one should use the + is slow. If division is very slow, then one should use the reciproot algorithm given in section B. (3) Final adjustment - By twiddling y's last bit it is possible to force y to be + By twiddling y's last bit it is possible to force y to be correctly rounded according to the prevailing rounding mode as follows. Let r and i be copies of the rounding mode and inexact flag before entering the square root program. Also we @@ -312,7 +312,7 @@ A. sqrt(x) by Newton Iteration I := i; ... restore inexact flag R := r; ... restore rounded mode return sqrt(x):=y. - + (4) Special cases Square root of +inf, +-0, or NaN is itself; @@ -331,7 +331,7 @@ B. sqrt(x) by Reciproot Iteration k := 0x5fe80000 - (x0>>1); y0:= k - T2[63&(k>>14)]. ... y ~ 1/sqrt(x) to 7.8 bits - Here k is a 32-bit integer and T2[] is an integer array + Here k is a 32-bit integer and T2[] is an integer array containing correction terms. Now magically the floating value of y (y's leading 32-bit word is y0, the value of its trailing word y1 is set to zero) approximates 1/sqrt(x) @@ -352,9 +352,9 @@ B. sqrt(x) by Reciproot Iteration Apply Reciproot iteration three times to y and multiply the result by x to get an approximation z that matches sqrt(x) - to about 1 ulp. To be exact, we will have + to about 1 ulp. To be exact, we will have -1ulp < sqrt(x)-z<1.0625ulp. - + ... set rounding mode to Round-to-nearest y := y*(1.5-0.5*x*y*y) ... almost 15 sig. bits to 1/sqrt(x) y := y*((1.5-2^-30)+0.5*x*y*y)... about 29 sig. bits to 1/sqrt(x) @@ -363,14 +363,14 @@ B. sqrt(x) by Reciproot Iteration z := z + 0.5*z*(1-z*y) ... about 1 ulp to sqrt(x) Remark 2. The constant 1.5-2^-30 is chosen to bias the error so that - (a) the term z*y in the final iteration is always less than 1; + (a) the term z*y in the final iteration is always less than 1; (b) the error in the final result is biased upward so that -1 ulp < sqrt(x) - z < 1.0625 ulp instead of |sqrt(x)-z|<1.03125ulp. (3) Final adjustment - By twiddling y's last bit it is possible to force y to be + By twiddling y's last bit it is possible to force y to be correctly rounded according to the prevailing rounding mode as follows. Let r and i be copies of the rounding mode and inexact flag before entering the square root program. Also we @@ -410,27 +410,27 @@ B. sqrt(x) by Reciproot Iteration I := 1; ... Raise Inexact flag: z is not exact else { j := 1 - [(x0>>20)&1] ... j = logb(x) mod 2 - k := z1 >> 26; ... get z's 25-th and 26-th + k := z1 >> 26; ... get z's 25-th and 26-th fraction bits I := i or (k&j) or ((k&(j+j+1))!=(x1&3)); } R:= r ... restore rounded mode return sqrt(x):=z. - If multiplication is cheaper then the foregoing red tape, the + If multiplication is cheaper then the foregoing red tape, the Inexact flag can be evaluated by I := i; I := (z*z!=x) or I. - Note that z*z can overwrite I; this value must be sensed if it is + Note that z*z can overwrite I; this value must be sensed if it is True. Remark 4. If z*z = x exactly, then bit 25 to bit 0 of z1 must be zero. -------------------- - z1: | f2 | + z1: | f2 | -------------------- bit 31 bit 0 @@ -447,7 +447,7 @@ B. sqrt(x) by Reciproot Iteration 11 01 even ------------------------------------------------- - (4) Special cases (see (4) of Section A). - + (4) Special cases (see (4) of Section A). + */ - + diff --git a/lib/msun/src/e_sqrtf.c b/lib/msun/src/e_sqrtf.c index 28a9428..a4cb172 100644 --- a/lib/msun/src/e_sqrtf.c +++ b/lib/msun/src/e_sqrtf.c @@ -8,13 +8,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: e_sqrtf.c,v 1.2 1994/08/18 23:06:07 jtc Exp $"; +static char rcsid[] = "$Id: e_sqrtf.c,v 1.1.1.1 1994/08/19 09:39:57 jkh Exp $"; #endif #include "math.h" @@ -34,17 +34,17 @@ static float one = 1.0, tiny=1.0e-30; #endif { float z; - int32_t sign = (int)0x80000000; + int32_t sign = (int)0x80000000; int32_t ix,s,q,m,t,i; u_int32_t r; GET_FLOAT_WORD(ix,x); /* take care of Inf and NaN */ - if((ix&0x7f800000)==0x7f800000) { + if((ix&0x7f800000)==0x7f800000) { return x*x+x; /* sqrt(NaN)=NaN, sqrt(+inf)=+inf sqrt(-inf)=sNaN */ - } + } /* take care of zero */ if(ix<=0) { if((ix&(~sign))==0) return x;/* sqrt(+-0) = +-0 */ @@ -69,12 +69,12 @@ static float one = 1.0, tiny=1.0e-30; r = 0x01000000; /* r = moving bit from right to left */ while(r!=0) { - t = s+r; - if(t<=ix) { - s = t+r; - ix -= t; - q += r; - } + t = s+r; + if(t<=ix) { + s = t+r; + ix -= t; + q += r; + } ix += ix; r>>=1; } diff --git a/lib/msun/src/k_cos.c b/lib/msun/src/k_cos.c index 1260011..57ebe62 100644 --- a/lib/msun/src/k_cos.c +++ b/lib/msun/src/k_cos.c @@ -5,20 +5,20 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: k_cos.c,v 1.6 1994/08/18 23:06:08 jtc Exp $"; +static char rcsid[] = "$Id: k_cos.c,v 1.1.1.1 1994/08/19 09:39:44 jkh Exp $"; #endif /* * __kernel_cos( x, y ) * kernel cos function on [-pi/4, pi/4], pi/4 ~ 0.785398164 * Input x is assumed to be bounded by ~pi/4 in magnitude. - * Input y is the tail of x. + * Input y is the tail of x. * * Algorithm * 1. Since cos(-x) = cos(x), we need only to consider positive x. @@ -28,15 +28,15 @@ static char rcsid[] = "$Id: k_cos.c,v 1.6 1994/08/18 23:06:08 jtc Exp $"; * 4 14 * cos(x) ~ 1 - x*x/2 + C1*x + ... + C6*x * where the remez error is - * + * * | 2 4 6 8 10 12 14 | -58 * |cos(x)-(1-.5*x +C1*x +C2*x +C3*x +C4*x +C5*x +C6*x )| <= 2 - * | | - * - * 4 6 8 10 12 14 + * | | + * + * 4 6 8 10 12 14 * 4. let r = C1*x +C2*x +C3*x +C4*x +C5*x +C6*x , then * cos(x) = 1 - x*x/2 + r - * since cos(x+y) ~ cos(x) - sin(x)*y + * since cos(x+y) ~ cos(x) - sin(x)*y * ~ cos(x) - x*y, * a correction term is necessary in cos(x) and hence * cos(x+y) = 1 - (x*x/2 - (r - x*y)) @@ -53,9 +53,9 @@ static char rcsid[] = "$Id: k_cos.c,v 1.6 1994/08/18 23:06:08 jtc Exp $"; #include "math_private.h" #ifdef __STDC__ -static const double +static const double #else -static double +static double #endif one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */ C1 = 4.16666666666666019037e-02, /* 0x3FA55555, 0x5555554C */ @@ -81,7 +81,7 @@ C6 = -1.13596475577881948265e-11; /* 0xBDA8FAE9, 0xBE8838D4 */ } z = x*x; r = z*(C1+z*(C2+z*(C3+z*(C4+z*(C5+z*C6))))); - if(ix < 0x3FD33333) /* if |x| < 0.3 */ + if(ix < 0x3FD33333) /* if |x| < 0.3 */ return one - (0.5*z - (z*r - x*y)); else { if(ix > 0x3fe90000) { /* x > 0.78125 */ diff --git a/lib/msun/src/k_cosf.c b/lib/msun/src/k_cosf.c index 9a2b83b..09e2ff7 100644 --- a/lib/msun/src/k_cosf.c +++ b/lib/msun/src/k_cosf.c @@ -8,22 +8,22 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: k_cosf.c,v 1.2 1994/08/18 23:06:10 jtc Exp $"; +static char rcsid[] = "$Id: k_cosf.c,v 1.1.1.1 1994/08/19 09:39:57 jkh Exp $"; #endif #include "math.h" #include "math_private.h" #ifdef __STDC__ -static const float +static const float #else -static float +static float #endif one = 1.0000000000e+00, /* 0x3f800000 */ C1 = 4.1666667908e-02, /* 0x3d2aaaab */ @@ -49,7 +49,7 @@ C6 = -1.1359647598e-11; /* 0xad47d74e */ } z = x*x; r = z*(C1+z*(C2+z*(C3+z*(C4+z*(C5+z*C6))))); - if(ix < 0x3e99999a) /* if |x| < 0.3 */ + if(ix < 0x3e99999a) /* if |x| < 0.3 */ return one - ((float)0.5*z - (z*r - x*y)); else { if(ix > 0x3f480000) { /* x > 0.78125 */ diff --git a/lib/msun/src/k_rem_pio2.c b/lib/msun/src/k_rem_pio2.c index b4611fe..25faf35 100644 --- a/lib/msun/src/k_rem_pio2.c +++ b/lib/msun/src/k_rem_pio2.c @@ -5,24 +5,24 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: k_rem_pio2.c,v 1.5 1994/08/18 23:06:11 jtc Exp $"; +static char rcsid[] = "$Id: k_rem_pio2.c,v 1.1.1.1 1994/08/19 09:39:45 jkh Exp $"; #endif /* * __kernel_rem_pio2(x,y,e0,nx,prec,ipio2) * double x[],y[]; int e0,nx,prec; int ipio2[]; - * - * __kernel_rem_pio2 return the last three digits of N with + * + * __kernel_rem_pio2 return the last three digits of N with * y = x - N*pi/2 * so that |y| < pi/2. * - * The method is to compute the integer (mod 8) and fraction parts of + * The method is to compute the integer (mod 8) and fraction parts of * (2/pi)*x without doing the full multiplication. In general we * skip the part of the product that are known to be a huge integer ( * more accurately, = 0 mod 8 ). Thus the number of operations are @@ -31,10 +31,10 @@ static char rcsid[] = "$Id: k_rem_pio2.c,v 1.5 1994/08/18 23:06:11 jtc Exp $"; * (2/pi) is represented by an array of 24-bit integers in ipio2[]. * * Input parameters: - * x[] The input value (must be positive) is broken into nx + * x[] The input value (must be positive) is broken into nx * pieces of 24-bit integers in double precision format. - * x[i] will be the i-th 24 bit of x. The scaled exponent - * of x[0] is given in input parameter e0 (i.e., x[0]*2^e0 + * x[i] will be the i-th 24 bit of x. The scaled exponent + * of x[0] is given in input parameter e0 (i.e., x[0]*2^e0 * match x's up to 24 bits. * * Example of breaking a double positive z into x[0]+x[1]+x[2]: @@ -71,8 +71,8 @@ static char rcsid[] = "$Id: k_rem_pio2.c,v 1.5 1994/08/18 23:06:11 jtc Exp $"; * 3 113 bits (quad) * * ipio2[] - * integer array, contains the (24*i)-th to (24*i+23)-th - * bit of 2/pi after binary point. The corresponding + * integer array, contains the (24*i)-th to (24*i+23)-th + * bit of 2/pi after binary point. The corresponding * floating value is * * ipio2[i] * 2^(-24(i+1)). @@ -87,8 +87,8 @@ static char rcsid[] = "$Id: k_rem_pio2.c,v 1.5 1994/08/18 23:06:11 jtc Exp $"; * in the computation. The recommended value is 2,3,4, * 6 for single, double, extended,and quad. * - * jz local integer variable indicating the number of - * terms of ipio2[] used. + * jz local integer variable indicating the number of + * terms of ipio2[] used. * * jx nx - 1 * @@ -108,9 +108,9 @@ static char rcsid[] = "$Id: k_rem_pio2.c,v 1.5 1994/08/18 23:06:11 jtc Exp $"; * exponent for q[i] would be q0-24*i. * * PIo2[] double precision array, obtained by cutting pi/2 - * into 24 bits chunks. + * into 24 bits chunks. * - * f[] ipio2[] in floating point + * f[] ipio2[] in floating point * * iq[] integer array by breaking up q[] in 24-bits chunk. * @@ -124,9 +124,9 @@ static char rcsid[] = "$Id: k_rem_pio2.c,v 1.5 1994/08/18 23:06:11 jtc Exp $"; /* * Constants: - * The hexadecimal values are the intended ones for the following - * constants. The decimal values may be used, provided that the - * compiler will convert from decimal to binary accurately enough + * The hexadecimal values are the intended ones for the following + * constants. The decimal values may be used, provided that the + * compiler will convert from decimal to binary accurately enough * to produce the hexadecimal values shown. */ @@ -136,7 +136,7 @@ static char rcsid[] = "$Id: k_rem_pio2.c,v 1.5 1994/08/18 23:06:11 jtc Exp $"; #ifdef __STDC__ static const int init_jk[] = {2,3,4,6}; /* initial value for jk */ #else -static int init_jk[] = {2,3,4,6}; +static int init_jk[] = {2,3,4,6}; #endif #ifdef __STDC__ @@ -155,9 +155,9 @@ static double PIo2[] = { }; #ifdef __STDC__ -static const double +static const double #else -static double +static double #endif zero = 0.0, one = 1.0, @@ -165,9 +165,9 @@ two24 = 1.67772160000000000000e+07, /* 0x41700000, 0x00000000 */ twon24 = 5.96046447753906250000e-08; /* 0x3E700000, 0x00000000 */ #ifdef __STDC__ - int __kernel_rem_pio2(double *x, double *y, int e0, int nx, int prec, const int32_t *ipio2) + int __kernel_rem_pio2(double *x, double *y, int e0, int nx, int prec, const int32_t *ipio2) #else - int __kernel_rem_pio2(x,y,e0,nx,prec,ipio2) + int __kernel_rem_pio2(x,y,e0,nx,prec,ipio2) double x[], y[]; int e0,nx,prec; int32_t ipio2[]; #endif { @@ -211,7 +211,7 @@ recompute: i = (iq[jz-1]>>(24-q0)); n += i; iq[jz-1] -= i<<(24-q0); ih = iq[jz-1]>>(23-q0); - } + } else if(q0==0) ih = iq[jz-1]>>23; else if(z>=0.5) ih=2; @@ -262,7 +262,7 @@ recompute: while(iq[jz]==0) { jz--; q0-=24;} } else { /* break z into 24-bit if necessary */ z = scalbn(z,-q0); - if(z>=two24) { + if(z>=two24) { fw = (double)((int32_t)(twon24*z)); iq[jz] = (int32_t)(z-two24*fw); jz += 1; q0 += 24; @@ -287,29 +287,29 @@ recompute: case 0: fw = 0.0; for (i=jz;i>=0;i--) fw += fq[i]; - y[0] = (ih==0)? fw: -fw; + y[0] = (ih==0)? fw: -fw; break; case 1: case 2: fw = 0.0; - for (i=jz;i>=0;i--) fw += fq[i]; - y[0] = (ih==0)? fw: -fw; + for (i=jz;i>=0;i--) fw += fq[i]; + y[0] = (ih==0)? fw: -fw; fw = fq[0]-fw; for (i=1;i<=jz;i++) fw += fq[i]; - y[1] = (ih==0)? fw: -fw; + y[1] = (ih==0)? fw: -fw; break; case 3: /* painful */ for (i=jz;i>0;i--) { - fw = fq[i-1]+fq[i]; + fw = fq[i-1]+fq[i]; fq[i] += fq[i-1]-fw; fq[i-1] = fw; } for (i=jz;i>1;i--) { - fw = fq[i-1]+fq[i]; + fw = fq[i-1]+fq[i]; fq[i] += fq[i-1]-fw; fq[i-1] = fw; } - for (fw=0.0,i=jz;i>=2;i--) fw += fq[i]; + for (fw=0.0,i=jz;i>=2;i--) fw += fq[i]; if(ih==0) { y[0] = fq[0]; y[1] = fq[1]; y[2] = fw; } else { diff --git a/lib/msun/src/k_rem_pio2f.c b/lib/msun/src/k_rem_pio2f.c index c243a56..1061538 100644 --- a/lib/msun/src/k_rem_pio2f.c +++ b/lib/msun/src/k_rem_pio2f.c @@ -8,13 +8,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: k_rem_pio2f.c,v 1.2 1994/08/18 23:06:12 jtc Exp $"; +static char rcsid[] = "$Id: k_rem_pio2f.c,v 1.1.1.1 1994/08/19 09:39:57 jkh Exp $"; #endif #include "math.h" @@ -26,7 +26,7 @@ static char rcsid[] = "$Id: k_rem_pio2f.c,v 1.2 1994/08/18 23:06:12 jtc Exp $"; #ifdef __STDC__ static const int init_jk[] = {4,7,9}; /* initial value for jk */ #else -static int init_jk[] = {4,7,9}; +static int init_jk[] = {4,7,9}; #endif #ifdef __STDC__ @@ -48,9 +48,9 @@ static float PIo2[] = { }; #ifdef __STDC__ -static const float +static const float #else -static float +static float #endif zero = 0.0, one = 1.0, @@ -58,9 +58,9 @@ two8 = 2.5600000000e+02, /* 0x43800000 */ twon8 = 3.9062500000e-03; /* 0x3b800000 */ #ifdef __STDC__ - int __kernel_rem_pio2f(float *x, float *y, int e0, int nx, int prec, const int32_t *ipio2) + int __kernel_rem_pio2f(float *x, float *y, int e0, int nx, int prec, const int32_t *ipio2) #else - int __kernel_rem_pio2f(x,y,e0,nx,prec,ipio2) + int __kernel_rem_pio2f(x,y,e0,nx,prec,ipio2) float x[], y[]; int e0,nx,prec; int32_t ipio2[]; #endif { @@ -104,7 +104,7 @@ recompute: i = (iq[jz-1]>>(8-q0)); n += i; iq[jz-1] -= i<<(8-q0); ih = iq[jz-1]>>(7-q0); - } + } else if(q0==0) ih = iq[jz-1]>>8; else if(z>=(float)0.5) ih=2; @@ -155,7 +155,7 @@ recompute: while(iq[jz]==0) { jz--; q0-=8;} } else { /* break z into 8-bit if necessary */ z = scalbnf(z,-q0); - if(z>=two8) { + if(z>=two8) { fw = (float)((int32_t)(twon8*z)); iq[jz] = (int32_t)(z-two8*fw); jz += 1; q0 += 8; @@ -180,29 +180,29 @@ recompute: case 0: fw = 0.0; for (i=jz;i>=0;i--) fw += fq[i]; - y[0] = (ih==0)? fw: -fw; + y[0] = (ih==0)? fw: -fw; break; case 1: case 2: fw = 0.0; - for (i=jz;i>=0;i--) fw += fq[i]; - y[0] = (ih==0)? fw: -fw; + for (i=jz;i>=0;i--) fw += fq[i]; + y[0] = (ih==0)? fw: -fw; fw = fq[0]-fw; for (i=1;i<=jz;i++) fw += fq[i]; - y[1] = (ih==0)? fw: -fw; + y[1] = (ih==0)? fw: -fw; break; case 3: /* painful */ for (i=jz;i>0;i--) { - fw = fq[i-1]+fq[i]; + fw = fq[i-1]+fq[i]; fq[i] += fq[i-1]-fw; fq[i-1] = fw; } for (i=jz;i>1;i--) { - fw = fq[i-1]+fq[i]; + fw = fq[i-1]+fq[i]; fq[i] += fq[i-1]-fw; fq[i-1] = fw; } - for (fw=0.0,i=jz;i>=2;i--) fw += fq[i]; + for (fw=0.0,i=jz;i>=2;i--) fw += fq[i]; if(ih==0) { y[0] = fq[0]; y[1] = fq[1]; y[2] = fw; } else { diff --git a/lib/msun/src/k_sin.c b/lib/msun/src/k_sin.c index f022901..394df927 100644 --- a/lib/msun/src/k_sin.c +++ b/lib/msun/src/k_sin.c @@ -5,37 +5,37 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: k_sin.c,v 1.6 1994/08/18 23:06:14 jtc Exp $"; +static char rcsid[] = "$Id: k_sin.c,v 1.1.1.1 1994/08/19 09:39:45 jkh Exp $"; #endif /* __kernel_sin( x, y, iy) * kernel sin function on [-pi/4, pi/4], pi/4 ~ 0.7854 * Input x is assumed to be bounded by ~pi/4 in magnitude. * Input y is the tail of x. - * Input iy indicates whether y is 0. (if iy=0, y assume to be 0). + * Input iy indicates whether y is 0. (if iy=0, y assume to be 0). * * Algorithm - * 1. Since sin(-x) = -sin(x), we need only to consider positive x. + * 1. Since sin(-x) = -sin(x), we need only to consider positive x. * 2. if x < 2^-27 (hx<0x3e400000 0), return x with inexact if x!=0. * 3. sin(x) is approximated by a polynomial of degree 13 on * [0,pi/4] * 3 13 * sin(x) ~ x + S1*x + ... + S6*x * where - * + * * |sin(x) 2 4 6 8 10 12 | -58 * |----- - (1+S1*x +S2*x +S3*x +S4*x +S5*x +S6*x )| <= 2 - * | x | - * + * | x | + * * 4. sin(x+y) = sin(x) + sin'(x')*y * ~ sin(x) + (1-x*x/2)*y - * For better accuracy, let + * For better accuracy, let * 3 2 2 2 2 * r = x *(S2+x *(S3+x *(S4+x *(S5+x *S6)))) * then 3 2 @@ -46,9 +46,9 @@ static char rcsid[] = "$Id: k_sin.c,v 1.6 1994/08/18 23:06:14 jtc Exp $"; #include "math_private.h" #ifdef __STDC__ -static const double +static const double #else -static double +static double #endif half = 5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */ S1 = -1.66666666666666324348e-01, /* 0xBFC55555, 0x55555549 */ diff --git a/lib/msun/src/k_sinf.c b/lib/msun/src/k_sinf.c index ad19fb4..b7c3db9 100644 --- a/lib/msun/src/k_sinf.c +++ b/lib/msun/src/k_sinf.c @@ -8,22 +8,22 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: k_sinf.c,v 1.2 1994/08/18 23:06:15 jtc Exp $"; +static char rcsid[] = "$Id: k_sinf.c,v 1.1.1.1 1994/08/19 09:39:57 jkh Exp $"; #endif #include "math.h" #include "math_private.h" #ifdef __STDC__ -static const float +static const float #else -static float +static float #endif half = 5.0000000000e-01,/* 0x3f000000 */ S1 = -1.6666667163e-01, /* 0xbe2aaaab */ diff --git a/lib/msun/src/k_standard.c b/lib/msun/src/k_standard.c index aa01a79..d32362e 100644 --- a/lib/msun/src/k_standard.c +++ b/lib/msun/src/k_standard.c @@ -5,13 +5,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: k_standard.c,v 1.4 1994/08/10 20:31:44 jtc Exp $"; +static char rcsid[] = "$Id: k_standard.c,v 1.1.1.1 1994/08/19 09:39:45 jkh Exp $"; #endif #include "math.h" @@ -33,7 +33,7 @@ static const double zero = 0.0; /* used as const */ static double zero = 0.0; /* used as const */ #endif -/* +/* * Standard conformance (non-IEEE) on exception cases. * Mapping: * 1 -- acos(|x|>1) @@ -58,7 +58,7 @@ static double zero = 0.0; /* used as const */ * 20-- pow(0.0,0.0) * 21-- pow(x,y) overflow * 22-- pow(x,y) underflow - * 23-- pow(0,negative) + * 23-- pow(0,negative) * 24-- pow(neg,non-integral) * 25-- sinh(finite) overflow * 26-- sqrt(negative) @@ -82,14 +82,14 @@ static double zero = 0.0; /* used as const */ #ifdef __STDC__ - double __kernel_standard(double x, double y, int type) + double __kernel_standard(double x, double y, int type) #else - double __kernel_standard(x,y,type) + double __kernel_standard(x,y,type) double x,y; int type; #endif { struct exception exc; -#ifndef HUGE_VAL /* this is the only routine that uses HUGE_VAL */ +#ifndef HUGE_VAL /* this is the only routine that uses HUGE_VAL */ #define HUGE_VAL inf double inf = 0.0; @@ -469,7 +469,7 @@ static double zero = 0.0; /* used as const */ /* 0**neg */ exc.type = DOMAIN; exc.name = type < 100 ? "pow" : "powf"; - if (_LIB_VERSION == _SVID_) + if (_LIB_VERSION == _SVID_) exc.retval = zero; else exc.retval = -HUGE_VAL; @@ -487,11 +487,11 @@ static double zero = 0.0; /* used as const */ /* neg**non-integral */ exc.type = DOMAIN; exc.name = type < 100 ? "pow" : "powf"; - if (_LIB_VERSION == _SVID_) + if (_LIB_VERSION == _SVID_) exc.retval = zero; - else + else exc.retval = zero/zero; /* X/Open allow NaN */ - if (_LIB_VERSION == _POSIX_) + if (_LIB_VERSION == _POSIX_) errno = EDOM; else if (!matherr(&exc)) { if (_LIB_VERSION == _SVID_) { @@ -649,7 +649,7 @@ static double zero = 0.0; /* used as const */ (void) WRITE2(": TLOSS error\n", 14); } errno = ERANGE; - } + } break; case 35: case 135: @@ -665,7 +665,7 @@ static double zero = 0.0; /* used as const */ (void) WRITE2(": TLOSS error\n", 14); } errno = ERANGE; - } + } break; case 36: case 136: @@ -681,7 +681,7 @@ static double zero = 0.0; /* used as const */ (void) WRITE2(": TLOSS error\n", 14); } errno = ERANGE; - } + } break; case 37: case 137: @@ -697,7 +697,7 @@ static double zero = 0.0; /* used as const */ (void) WRITE2(": TLOSS error\n", 14); } errno = ERANGE; - } + } break; case 38: case 138: @@ -713,7 +713,7 @@ static double zero = 0.0; /* used as const */ (void) WRITE2(": TLOSS error\n", 14); } errno = ERANGE; - } + } break; case 39: case 139: @@ -729,7 +729,7 @@ static double zero = 0.0; /* used as const */ (void) WRITE2(": TLOSS error\n", 14); } errno = ERANGE; - } + } break; case 40: case 140: @@ -778,5 +778,5 @@ static double zero = 0.0; /* used as const */ } break; } - return exc.retval; + return exc.retval; } diff --git a/lib/msun/src/k_tan.c b/lib/msun/src/k_tan.c index 27abc1c..d5851cf 100644 --- a/lib/msun/src/k_tan.c +++ b/lib/msun/src/k_tan.c @@ -5,38 +5,38 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: k_tan.c,v 1.6 1994/08/18 23:06:16 jtc Exp $"; +static char rcsid[] = "$Id: k_tan.c,v 1.1.1.1 1994/08/19 09:39:45 jkh Exp $"; #endif /* __kernel_tan( x, y, k ) * kernel tan function on [-pi/4, pi/4], pi/4 ~ 0.7854 * Input x is assumed to be bounded by ~pi/4 in magnitude. * Input y is the tail of x. - * Input k indicates whether tan (if k=1) or + * Input k indicates whether tan (if k=1) or * -1/tan (if k= -1) is returned. * * Algorithm - * 1. Since tan(-x) = -tan(x), we need only to consider positive x. + * 1. Since tan(-x) = -tan(x), we need only to consider positive x. * 2. if x < 2^-28 (hx<0x3e300000 0), return x with inexact if x!=0. * 3. tan(x) is approximated by a odd polynomial of degree 27 on * [0,0.67434] * 3 27 * tan(x) ~ x + T1*x + ... + T13*x * where - * + * * |tan(x) 2 4 26 | -59.2 * |----- - (1+T1*x +T2*x +.... +T13*x )| <= 2 - * | x | - * + * | x | + * * Note: tan(x+y) = tan(x) + tan'(x)*y * ~ tan(x) + (1+x*x)*y - * Therefore, for better accuracy in computing tan(x+y), let + * Therefore, for better accuracy in computing tan(x+y), let * 3 2 2 2 2 * r = x *(T2+x *(T3+x *(...+x *(T12+x *T13)))) * then @@ -51,9 +51,9 @@ static char rcsid[] = "$Id: k_tan.c,v 1.6 1994/08/18 23:06:16 jtc Exp $"; #include "math.h" #include "math_private.h" #ifdef __STDC__ -static const double +static const double #else -static double +static double #endif one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */ pio4 = 7.85398163397448278999e-01, /* 0x3FE921FB, 0x54442D18 */ @@ -116,7 +116,7 @@ T[] = { return (double)(1-((hx>>30)&2))*(v-2.0*(x-(w*w/(w+v)-r))); } if(iy==1) return w; - else { /* if allow error up to 2 ulp, + else { /* if allow error up to 2 ulp, simply return -1.0/(x+r) here */ /* compute -1.0/(x+r) accurately */ double a,t; diff --git a/lib/msun/src/k_tanf.c b/lib/msun/src/k_tanf.c index f4d13ed..9be8d37 100644 --- a/lib/msun/src/k_tanf.c +++ b/lib/msun/src/k_tanf.c @@ -8,21 +8,21 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: k_tanf.c,v 1.2 1994/08/18 23:06:18 jtc Exp $"; +static char rcsid[] = "$Id: k_tanf.c,v 1.1.1.1 1994/08/19 09:39:57 jkh Exp $"; #endif #include "math.h" #include "math_private.h" #ifdef __STDC__ -static const float +static const float #else -static float +static float #endif one = 1.0000000000e+00, /* 0x3f800000 */ pio4 = 7.8539812565e-01, /* 0x3f490fda */ @@ -83,7 +83,7 @@ T[] = { return (float)(1-((hx>>30)&2))*(v-(float)2.0*(x-(w*w/(w+v)-r))); } if(iy==1) return w; - else { /* if allow error up to 2 ulp, + else { /* if allow error up to 2 ulp, simply return -1.0/(x+r) here */ /* compute -1.0/(x+r) accurately */ float a,t; diff --git a/lib/msun/src/math.h b/lib/msun/src/math.h index eff080f..74b021f 100644 --- a/lib/msun/src/math.h +++ b/lib/msun/src/math.h @@ -4,14 +4,14 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ /* * from: @(#)fdlibm.h 5.1 93/09/24 - * $Id: math.h,v 1.1 1994/08/10 20:31:49 jtc Exp $ + * $Id: math.h,v 1.1.1.1 1994/08/19 09:39:57 jkh Exp $ */ #ifndef _MATH_H_ @@ -48,15 +48,15 @@ extern int signgam; enum fdversion {fdlibm_ieee = -1, fdlibm_svid, fdlibm_xopen, fdlibm_posix}; #define _LIB_VERSION_TYPE enum fdversion -#define _LIB_VERSION _fdlib_version +#define _LIB_VERSION _fdlib_version -/* if global variable _LIB_VERSION is not desirable, one may - * change the following to be a constant by: +/* if global variable _LIB_VERSION is not desirable, one may + * change the following to be a constant by: * #define _LIB_VERSION_TYPE const enum version * In that case, after one initializes the value _LIB_VERSION (see * s_lib_version.c) during compile time, it cannot be modified * in the middle of a program - */ + */ extern _LIB_VERSION_TYPE _LIB_VERSION; #define _IEEE_ fdlibm_ieee @@ -74,12 +74,12 @@ struct exception { #define HUGE MAXFLOAT -/* +/* * set X_TLOSS = pi*2**52, which is possibly defined in * (one may replace the following line by "#include ") */ -#define X_TLOSS 1.41484755040568800000e+16 +#define X_TLOSS 1.41484755040568800000e+16 #define DOMAIN 1 #define SING 2 diff --git a/lib/msun/src/math_private.h b/lib/msun/src/math_private.h index 2183c9f..232f65b 100644 --- a/lib/msun/src/math_private.h +++ b/lib/msun/src/math_private.h @@ -4,14 +4,14 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ /* * from: @(#)fdlibm.h 5.1 93/09/24 - * $Id: math_private.h,v 1.2 1994/08/18 23:06:19 jtc Exp $ + * $Id: math_private.h,v 1.1.1.1 1994/08/19 09:39:57 jkh Exp $ */ #ifndef _MATH_PRIVATE_H_ @@ -36,10 +36,10 @@ #if BYTE_ORDER == BIG_ENDIAN -typedef union +typedef union { double value; - struct + struct { u_int32_t msw; u_int32_t lsw; @@ -50,10 +50,10 @@ typedef union #if BYTE_ORDER == LITTLE_ENDIAN -typedef union +typedef union { double value; - struct + struct { u_int32_t lsw; u_int32_t msw; @@ -149,13 +149,13 @@ do { \ } while (0) /* ieee style elementary functions */ -extern double __ieee754_sqrt __P((double)); -extern double __ieee754_acos __P((double)); -extern double __ieee754_acosh __P((double)); -extern double __ieee754_log __P((double)); -extern double __ieee754_atanh __P((double)); -extern double __ieee754_asin __P((double)); -extern double __ieee754_atan2 __P((double,double)); +extern double __ieee754_sqrt __P((double)); +extern double __ieee754_acos __P((double)); +extern double __ieee754_acosh __P((double)); +extern double __ieee754_log __P((double)); +extern double __ieee754_atanh __P((double)); +extern double __ieee754_asin __P((double)); +extern double __ieee754_atan2 __P((double,double)); extern double __ieee754_exp __P((double)); extern double __ieee754_cosh __P((double)); extern double __ieee754_fmod __P((double,double)); @@ -178,7 +178,7 @@ extern int __ieee754_rem_pio2 __P((double,double*)); extern double __ieee754_scalb __P((double,double)); /* fdlibm kernel function */ -extern double __kernel_standard __P((double,double,int)); +extern double __kernel_standard __P((double,double,int)); extern double __kernel_sin __P((double,double,int)); extern double __kernel_cos __P((double,double)); extern double __kernel_tan __P((double,double,int)); @@ -186,13 +186,13 @@ extern int __kernel_rem_pio2 __P((double*,double*,int,int,int,const int*)); /* ieee style elementary float functions */ -extern float __ieee754_sqrtf __P((float)); -extern float __ieee754_acosf __P((float)); -extern float __ieee754_acoshf __P((float)); -extern float __ieee754_logf __P((float)); -extern float __ieee754_atanhf __P((float)); -extern float __ieee754_asinf __P((float)); -extern float __ieee754_atan2f __P((float,float)); +extern float __ieee754_sqrtf __P((float)); +extern float __ieee754_acosf __P((float)); +extern float __ieee754_acoshf __P((float)); +extern float __ieee754_logf __P((float)); +extern float __ieee754_atanhf __P((float)); +extern float __ieee754_asinf __P((float)); +extern float __ieee754_atan2f __P((float,float)); extern float __ieee754_expf __P((float)); extern float __ieee754_coshf __P((float)); extern float __ieee754_fmodf __P((float,float)); diff --git a/lib/msun/src/s_asinh.c b/lib/msun/src/s_asinh.c index f9e1304..64de8de 100644 --- a/lib/msun/src/s_asinh.c +++ b/lib/msun/src/s_asinh.c @@ -5,37 +5,37 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: s_asinh.c,v 1.6 1994/08/18 23:06:20 jtc Exp $"; +static char rcsid[] = "$Id: s_asinh.c,v 1.1.1.1 1994/08/19 09:39:45 jkh Exp $"; #endif /* asinh(x) * Method : - * Based on + * Based on * asinh(x) = sign(x) * log [ |x| + sqrt(x*x+1) ] * we have * asinh(x) := x if 1+x*x=1, * := sign(x)*(log(x)+ln2)) for large |x|, else * := sign(x)*log(2|x|+1/(|x|+sqrt(x*x+1))) if|x|>2, else - * := sign(x)*log1p(|x| + x^2/(1 + sqrt(1+x^2))) + * := sign(x)*log1p(|x| + x^2/(1 + sqrt(1+x^2))) */ #include "math.h" #include "math_private.h" #ifdef __STDC__ -static const double +static const double #else -static double +static double #endif one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */ ln2 = 6.93147180559945286227e-01, /* 0x3FE62E42, 0xFEFA39EF */ -huge= 1.00000000000000000000e+300; +huge= 1.00000000000000000000e+300; #ifdef __STDC__ double asinh(double x) @@ -43,7 +43,7 @@ huge= 1.00000000000000000000e+300; double asinh(x) double x; #endif -{ +{ double t,w; int32_t hx,ix; GET_HIGH_WORD(hx,x); @@ -51,7 +51,7 @@ huge= 1.00000000000000000000e+300; if(ix>=0x7ff00000) return x+x; /* x is inf or NaN */ if(ix< 0x3e300000) { /* |x|<2**-28 */ if(huge+x>one) return x; /* return x inexact except 0 */ - } + } if(ix>0x41b00000) { /* |x| > 2**28 */ w = __ieee754_log(fabs(x))+ln2; } else if (ix>0x40000000) { /* 2**28 > |x| > 2.0 */ diff --git a/lib/msun/src/s_asinhf.c b/lib/msun/src/s_asinhf.c index 3d4f242..e96704f 100644 --- a/lib/msun/src/s_asinhf.c +++ b/lib/msun/src/s_asinhf.c @@ -8,26 +8,26 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: s_asinhf.c,v 1.2 1994/08/18 23:06:21 jtc Exp $"; +static char rcsid[] = "$Id: s_asinhf.c,v 1.1.1.1 1994/08/19 09:39:57 jkh Exp $"; #endif #include "math.h" #include "math_private.h" #ifdef __STDC__ -static const float +static const float #else -static float +static float #endif one = 1.0000000000e+00, /* 0x3F800000 */ ln2 = 6.9314718246e-01, /* 0x3f317218 */ -huge= 1.0000000000e+30; +huge= 1.0000000000e+30; #ifdef __STDC__ float asinhf(float x) @@ -35,7 +35,7 @@ huge= 1.0000000000e+30; float asinhf(x) float x; #endif -{ +{ float t,w; int32_t hx,ix; GET_FLOAT_WORD(hx,x); @@ -43,7 +43,7 @@ huge= 1.0000000000e+30; if(ix>=0x7f800000) return x+x; /* x is inf or NaN */ if(ix< 0x31800000) { /* |x|<2**-28 */ if(huge+x>one) return x; /* return x inexact except 0 */ - } + } if(ix>0x4d800000) { /* |x| > 2**28 */ w = __ieee754_logf(fabsf(x))+ln2; } else if (ix>0x40000000) { /* 2**28 > |x| > 2.0 */ diff --git a/lib/msun/src/s_atan.c b/lib/msun/src/s_atan.c index dd79665..f53462b 100644 --- a/lib/msun/src/s_atan.c +++ b/lib/msun/src/s_atan.c @@ -5,13 +5,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: s_atan.c,v 1.6 1994/08/18 23:06:23 jtc Exp $"; +static char rcsid[] = "$Id: s_atan.c,v 1.1.1.1 1994/08/19 09:39:45 jkh Exp $"; #endif /* atan(x) @@ -28,9 +28,9 @@ static char rcsid[] = "$Id: s_atan.c,v 1.6 1994/08/18 23:06:23 jtc Exp $"; * [39/16,INF] atan(x) = atan(INF) + atan( -1/t ) * * Constants: - * The hexadecimal values are the intended ones for the following - * constants. The decimal values may be used, provided that the - * compiler will convert from decimal to binary accurately enough + * The hexadecimal values are the intended ones for the following + * constants. The decimal values may be used, provided that the + * compiler will convert from decimal to binary accurately enough * to produce the hexadecimal values shown. */ @@ -78,9 +78,9 @@ static double aT[] = { }; #ifdef __STDC__ - static const double + static const double #else - static double + static double #endif one = 1.0, huge = 1.0e300; @@ -114,9 +114,9 @@ huge = 1.0e300; x = fabs(x); if (ix < 0x3ff30000) { /* |x| < 1.1875 */ if (ix < 0x3fe60000) { /* 7/16 <=|x|<11/16 */ - id = 0; x = (2.0*x-one)/(2.0+x); + id = 0; x = (2.0*x-one)/(2.0+x); } else { /* 11/16<=|x|< 19/16 */ - id = 1; x = (x-one)/(x+one); + id = 1; x = (x-one)/(x+one); } } else { if (ix < 0x40038000) { /* |x| < 2.4375 */ diff --git a/lib/msun/src/s_atanf.c b/lib/msun/src/s_atanf.c index f9d5160..52beebf 100644 --- a/lib/msun/src/s_atanf.c +++ b/lib/msun/src/s_atanf.c @@ -8,13 +8,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: s_atanf.c,v 1.2 1994/08/18 23:06:24 jtc Exp $"; +static char rcsid[] = "$Id: s_atanf.c,v 1.1.1.1 1994/08/19 09:39:57 jkh Exp $"; #endif #include "math.h" @@ -61,9 +61,9 @@ static float aT[] = { }; #ifdef __STDC__ - static const float + static const float #else - static float + static float #endif one = 1.0, huge = 1.0e30; @@ -94,9 +94,9 @@ huge = 1.0e30; x = fabsf(x); if (ix < 0x3f980000) { /* |x| < 1.1875 */ if (ix < 0x3f300000) { /* 7/16 <=|x|<11/16 */ - id = 0; x = ((float)2.0*x-one)/((float)2.0+x); + id = 0; x = ((float)2.0*x-one)/((float)2.0+x); } else { /* 11/16<=|x|< 19/16 */ - id = 1; x = (x-one)/(x+one); + id = 1; x = (x-one)/(x+one); } } else { if (ix < 0x401c0000) { /* |x| < 2.4375 */ diff --git a/lib/msun/src/s_cbrt.c b/lib/msun/src/s_cbrt.c index cbf50ab..a3fcc02 100644 --- a/lib/msun/src/s_cbrt.c +++ b/lib/msun/src/s_cbrt.c @@ -5,13 +5,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: s_cbrt.c,v 1.6 1994/08/18 23:06:25 jtc Exp $"; +static char rcsid[] = "$Id: s_cbrt.c,v 1.1.1.1 1994/08/19 09:39:51 jkh Exp $"; #endif #include "math.h" @@ -40,9 +40,9 @@ F = 1.60714285714285720630e+00, /* 45/28 = 0x3FF9B6DB, 0x6DB6DB6E */ G = 3.57142857142857150787e-01; /* 5/14 = 0x3FD6DB6D, 0xB6DB6DB7 */ #ifdef __STDC__ - double cbrt(double x) + double cbrt(double x) #else - double cbrt(x) + double cbrt(x) double x; #endif { @@ -56,7 +56,7 @@ G = 3.57142857142857150787e-01; /* 5/14 = 0x3FD6DB6D, 0xB6DB6DB7 */ hx ^=sign; if(hx>=0x7ff00000) return(x+x); /* cbrt(NaN,INF) is itself */ GET_LOW_WORD(low,x); - if((hx|low)==0) + if((hx|low)==0) return(x); /* cbrt(0) is itself */ SET_HIGH_WORD(x,hx); /* x <- |x| */ @@ -72,9 +72,9 @@ G = 3.57142857142857150787e-01; /* 5/14 = 0x3FD6DB6D, 0xB6DB6DB7 */ /* new cbrt to 23 bits, may be implemented in single precision */ r=t*t/x; s=C+r*t; - t*=G+F/(s+E+D/s); + t*=G+F/(s+E+D/s); - /* chopped to 20 bits and make it larger than cbrt(x) */ + /* chopped to 20 bits and make it larger than cbrt(x) */ GET_HIGH_WORD(high,t); INSERT_WORDS(t,high+0x00000001,0); diff --git a/lib/msun/src/s_cbrtf.c b/lib/msun/src/s_cbrtf.c index 4b38c50..8bee2be 100644 --- a/lib/msun/src/s_cbrtf.c +++ b/lib/msun/src/s_cbrtf.c @@ -8,13 +8,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: s_cbrtf.c,v 1.2 1994/08/18 23:06:27 jtc Exp $"; +static char rcsid[] = "$Id: s_cbrtf.c,v 1.1.1.1 1994/08/19 09:39:57 jkh Exp $"; #endif #include "math.h" @@ -24,9 +24,9 @@ static char rcsid[] = "$Id: s_cbrtf.c,v 1.2 1994/08/18 23:06:27 jtc Exp $"; * Return cube root of x */ #ifdef __STDC__ -static const unsigned +static const unsigned #else -static unsigned +static unsigned #endif B1 = 709958130, /* B1 = (84+2/3-0.03306235651)*2**23 */ B2 = 642849266; /* B2 = (76+2/3-0.03306235651)*2**23 */ @@ -43,9 +43,9 @@ F = 1.6071428061e+00, /* 45/28 = 0x3fcdb6db */ G = 3.5714286566e-01; /* 5/14 = 0x3eb6db6e */ #ifdef __STDC__ - float cbrtf(float x) + float cbrtf(float x) #else - float cbrtf(x) + float cbrtf(x) float x; #endif { @@ -58,7 +58,7 @@ G = 3.5714286566e-01; /* 5/14 = 0x3eb6db6e */ sign=hx&0x80000000; /* sign= sign(x) */ hx ^=sign; if(hx>=0x7f800000) return(x+x); /* cbrt(NaN,INF) is itself */ - if(hx==0) + if(hx==0) return(x); /* cbrt(0) is itself */ SET_FLOAT_WORD(x,hx); /* x <- |x| */ @@ -74,7 +74,7 @@ G = 3.5714286566e-01; /* 5/14 = 0x3eb6db6e */ /* new cbrt to 23 bits */ r=t*t/x; s=C+r*t; - t*=G+F/(s+E+D/s); + t*=G+F/(s+E+D/s); /* retore the sign bit */ GET_FLOAT_WORD(high,t); diff --git a/lib/msun/src/s_ceil.c b/lib/msun/src/s_ceil.c index d1c5598..749bc60 100644 --- a/lib/msun/src/s_ceil.c +++ b/lib/msun/src/s_ceil.c @@ -5,13 +5,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: s_ceil.c,v 1.6 1994/08/18 23:06:29 jtc Exp $"; +static char rcsid[] = "$Id: s_ceil.c,v 1.1.1.1 1994/08/19 09:39:51 jkh Exp $"; #endif /* @@ -46,7 +46,7 @@ static double huge = 1.0e300; if(j0<20) { if(j0<0) { /* raise inexact if x != 0 */ if(huge+x>0.0) {/* return 0*sign(x) if |x|<1 */ - if(i0<0) {i0=0x80000000;i1=0;} + if(i0<0) {i0=0x80000000;i1=0;} else if((i0|i1)!=0) { i0=0x3ff00000;i1=0;} } } else { @@ -65,7 +65,7 @@ static double huge = 1.0e300; if((i1&i)==0) return x; /* x is integral */ if(huge+x>0.0) { /* raise inexact flag */ if(i0>0) { - if(j0==20) i0+=1; + if(j0==20) i0+=1; else { j = i1 + (1<<(52-j0)); if(j(float)0.0) {/* return 0*sign(x) if |x|<1 */ - if(i0<0) {i0=0x80000000;} + if(i0<0) {i0=0x80000000;} else if(i0!=0) { i0=0x3f800000;} } } else { diff --git a/lib/msun/src/s_copysign.c b/lib/msun/src/s_copysign.c index 93f39c0..30fea0e 100644 --- a/lib/msun/src/s_copysign.c +++ b/lib/msun/src/s_copysign.c @@ -5,13 +5,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: s_copysign.c,v 1.6 1994/08/18 23:06:31 jtc Exp $"; +static char rcsid[] = "$Id: s_copysign.c,v 1.1.1.1 1994/08/19 09:39:51 jkh Exp $"; #endif /* diff --git a/lib/msun/src/s_copysignf.c b/lib/msun/src/s_copysignf.c index 219f35f..07b1a53 100644 --- a/lib/msun/src/s_copysignf.c +++ b/lib/msun/src/s_copysignf.c @@ -8,13 +8,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: s_copysignf.c,v 1.2 1994/08/18 23:06:33 jtc Exp $"; +static char rcsid[] = "$Id: s_copysignf.c,v 1.1.1.1 1994/08/19 09:39:57 jkh Exp $"; #endif /* diff --git a/lib/msun/src/s_cos.c b/lib/msun/src/s_cos.c index 821af1c..b3666d3 100644 --- a/lib/msun/src/s_cos.c +++ b/lib/msun/src/s_cos.c @@ -5,13 +5,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: s_cos.c,v 1.5 1994/08/18 23:06:34 jtc Exp $"; +static char rcsid[] = "$Id: s_cos.c,v 1.1.1.1 1994/08/19 09:39:51 jkh Exp $"; #endif /* cos(x) @@ -23,8 +23,8 @@ static char rcsid[] = "$Id: s_cos.c,v 1.5 1994/08/18 23:06:34 jtc Exp $"; * __ieee754_rem_pio2 ... argument reduction routine * * Method. - * Let S,C and T denote the sin, cos and tan respectively on - * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2 + * Let S,C and T denote the sin, cos and tan respectively on + * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2 * in [-pi/4 , +pi/4], and let n = k mod 4. * We have * @@ -42,7 +42,7 @@ static char rcsid[] = "$Id: s_cos.c,v 1.5 1994/08/18 23:06:34 jtc Exp $"; * trig(NaN) is that NaN; * * Accuracy: - * TRIG(x) returns trig(x) nearly rounded + * TRIG(x) returns trig(x) nearly rounded */ #include "math.h" diff --git a/lib/msun/src/s_cosf.c b/lib/msun/src/s_cosf.c index f51fff4..95fe4e7 100644 --- a/lib/msun/src/s_cosf.c +++ b/lib/msun/src/s_cosf.c @@ -8,13 +8,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: s_cosf.c,v 1.2 1994/08/18 23:06:35 jtc Exp $"; +static char rcsid[] = "$Id: s_cosf.c,v 1.1.1.1 1994/08/19 09:39:58 jkh Exp $"; #endif #include "math.h" diff --git a/lib/msun/src/s_erf.c b/lib/msun/src/s_erf.c index 45f6636..4a06e20 100644 --- a/lib/msun/src/s_erf.c +++ b/lib/msun/src/s_erf.c @@ -5,13 +5,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: s_erf.c,v 1.6 1994/08/18 23:06:36 jtc Exp $"; +static char rcsid[] = "$Id: s_erf.c,v 1.1.1.1 1994/08/19 09:39:51 jkh Exp $"; #endif /* double erf(double x) @@ -19,11 +19,11 @@ static char rcsid[] = "$Id: s_erf.c,v 1.6 1994/08/18 23:06:36 jtc Exp $"; * x * 2 |\ * erf(x) = --------- | exp(-t*t)dt - * sqrt(pi) \| + * sqrt(pi) \| * 0 * * erfc(x) = 1-erf(x) - * Note that + * Note that * erf(-x) = -erf(x) * erfc(-x) = 2 - erfc(x) * @@ -36,7 +36,7 @@ static char rcsid[] = "$Id: s_erf.c,v 1.6 1994/08/18 23:06:36 jtc Exp $"; * Q is an odd poly of degree 10. * -57.90 * | R - (erf(x)-x)/x | <= 2 - * + * * * Remark. The formula is derived by noting * erf(x) = (2/sqrt(pi))*(x - x^3/3 + x^5/10 - x^7/42 + ....) @@ -59,14 +59,14 @@ static char rcsid[] = "$Id: s_erf.c,v 1.6 1994/08/18 23:06:36 jtc Exp $"; * That is, we use rational approximation to approximate * erf(1+s) - (c = (single)0.84506291151) * Note that |P1/Q1|< 0.078 for x in [0.84375,1.25] - * where + * where * P1(s) = degree 6 poly in s * Q1(s) = degree 6 poly in s * - * 3. For x in [1.25,1/0.35(~2.857143)], + * 3. For x in [1.25,1/0.35(~2.857143)], * erfc(x) = (1/x)*exp(-x*x-0.5625+R1/S1) * erf(x) = 1 - erfc(x) - * where + * where * R1(z) = degree 7 poly in z, (z=1/x^2) * S1(z) = degree 8 poly in z * @@ -84,7 +84,7 @@ static char rcsid[] = "$Id: s_erf.c,v 1.6 1994/08/18 23:06:36 jtc Exp $"; * To compute exp(-x*x-0.5625+R/S), let s be a single * precision number and s := x; then * -x*x = -s*s + (s-x)*(s+x) - * exp(-x*x-0.5626+R/S) = + * exp(-x*x-0.5626+R/S) = * exp(-s*s-0.5625)*exp((s-x)*(s+x)+R/S); * Note2: * Here 4 and 5 make use of the asymptotic series @@ -104,7 +104,7 @@ static char rcsid[] = "$Id: s_erf.c,v 1.6 1994/08/18 23:06:36 jtc Exp $"; * * 7. Special case: * erf(0) = 0, erf(inf) = 1, erf(-inf) = -1, - * erfc(0) = 1, erfc(inf) = 0, erfc(-inf) = 2, + * erfc(0) = 1, erfc(inf) = 0, erfc(-inf) = 2, * erfc/erf(NaN) is NaN */ @@ -139,7 +139,7 @@ qq3 = 5.08130628187576562776e-03, /* 0x3F74D022, 0xC4D36B0F */ qq4 = 1.32494738004321644526e-04, /* 0x3F215DC9, 0x221C1A10 */ qq5 = -3.96022827877536812320e-06, /* 0xBED09C43, 0x42A26120 */ /* - * Coefficients for approximation to erf in [0.84375,1.25] + * Coefficients for approximation to erf in [0.84375,1.25] */ pa0 = -2.36211856075265944077e-03, /* 0xBF6359B8, 0xBEF77538 */ pa1 = 4.14856118683748331666e-01, /* 0x3FDA8D00, 0xAD92B34D */ @@ -192,9 +192,9 @@ sb6 = 4.74528541206955367215e+02, /* 0x407DA874, 0xE79FE763 */ sb7 = -2.24409524465858183362e+01; /* 0xC03670E2, 0x42712D62 */ #ifdef __STDC__ - double erf(double x) + double erf(double x) #else - double erf(x) + double erf(x) double x; #endif { @@ -209,7 +209,7 @@ sb7 = -2.24409524465858183362e+01; /* 0xC03670E2, 0x42712D62 */ if(ix < 0x3feb0000) { /* |x|<0.84375 */ if(ix < 0x3e300000) { /* |x|<2**-28 */ - if (ix < 0x00800000) + if (ix < 0x00800000) return 0.125*(8.0*x+efx8*x); /*avoid underflow */ return x + efx*x; } @@ -241,16 +241,16 @@ sb7 = -2.24409524465858183362e+01; /* 0xC03670E2, 0x42712D62 */ S=one+s*(sb1+s*(sb2+s*(sb3+s*(sb4+s*( sb5+s*(sb6+s*sb7)))))); } - z = x; + z = x; SET_LOW_WORD(z,0); r = __ieee754_exp(-z*z-0.5625)*__ieee754_exp((z-x)*(z+x)+R/S); if(hx>=0) return one-r/x; else return r/x-one; } #ifdef __STDC__ - double erfc(double x) + double erfc(double x) #else - double erfc(x) + double erfc(x) double x; #endif { @@ -283,7 +283,7 @@ sb7 = -2.24409524465858183362e+01; /* 0xC03670E2, 0x42712D62 */ P = pa0+s*(pa1+s*(pa2+s*(pa3+s*(pa4+s*(pa5+s*pa6))))); Q = one+s*(qa1+s*(qa2+s*(qa3+s*(qa4+s*(qa5+s*qa6))))); if(hx>=0) { - z = one-erx; return z - P/Q; + z = one-erx; return z - P/Q; } else { z = erx+P/Q; return one+z; } diff --git a/lib/msun/src/s_erff.c b/lib/msun/src/s_erff.c index 5a931be..15e40b1 100644 --- a/lib/msun/src/s_erff.c +++ b/lib/msun/src/s_erff.c @@ -8,13 +8,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: s_erff.c,v 1.2 1994/08/18 23:06:38 jtc Exp $"; +static char rcsid[] = "$Id: s_erff.c,v 1.1.1.1 1994/08/19 09:39:58 jkh Exp $"; #endif #include "math.h" @@ -47,7 +47,7 @@ qq3 = 5.0813062117e-03, /* 0x3ba68116 */ qq4 = 1.3249473704e-04, /* 0x390aee49 */ qq5 = -3.9602282413e-06, /* 0xb684e21a */ /* - * Coefficients for approximation to erf in [0.84375,1.25] + * Coefficients for approximation to erf in [0.84375,1.25] */ pa0 = -2.3621185683e-03, /* 0xbb1acdc6 */ pa1 = 4.1485610604e-01, /* 0x3ed46805 */ @@ -100,9 +100,9 @@ sb6 = 4.7452853394e+02, /* 0x43ed43a7 */ sb7 = -2.2440952301e+01; /* 0xc1b38712 */ #ifdef __STDC__ - float erff(float x) + float erff(float x) #else - float erff(x) + float erff(x) float x; #endif { @@ -117,7 +117,7 @@ sb7 = -2.2440952301e+01; /* 0xc1b38712 */ if(ix < 0x3f580000) { /* |x|<0.84375 */ if(ix < 0x31800000) { /* |x|<2**-28 */ - if (ix < 0x04000000) + if (ix < 0x04000000) /*avoid underflow */ return (float)0.125*((float)8.0*x+efx8*x); return x + efx*x; @@ -157,9 +157,9 @@ sb7 = -2.2440952301e+01; /* 0xc1b38712 */ } #ifdef __STDC__ - float erfcf(float x) + float erfcf(float x) #else - float erfcf(x) + float erfcf(x) float x; #endif { @@ -192,7 +192,7 @@ sb7 = -2.2440952301e+01; /* 0xc1b38712 */ P = pa0+s*(pa1+s*(pa2+s*(pa3+s*(pa4+s*(pa5+s*pa6))))); Q = one+s*(qa1+s*(qa2+s*(qa3+s*(qa4+s*(qa5+s*qa6))))); if(hx>=0) { - z = one-erx; return z - P/Q; + z = one-erx; return z - P/Q; } else { z = erx+P/Q; return one+z; } diff --git a/lib/msun/src/s_expm1.c b/lib/msun/src/s_expm1.c index 70a1e05..9c933e2 100644 --- a/lib/msun/src/s_expm1.c +++ b/lib/msun/src/s_expm1.c @@ -5,13 +5,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: s_expm1.c,v 1.6 1994/08/18 23:06:39 jtc Exp $"; +static char rcsid[] = "$Id: s_expm1.c,v 1.1.1.1 1994/08/19 09:39:51 jkh Exp $"; #endif /* expm1(x) @@ -21,9 +21,9 @@ static char rcsid[] = "$Id: s_expm1.c,v 1.6 1994/08/18 23:06:39 jtc Exp $"; * 1. Argument reduction: * Given x, find r and integer k such that * - * x = k*ln2 + r, |r| <= 0.5*ln2 ~ 0.34658 + * x = k*ln2 + r, |r| <= 0.5*ln2 ~ 0.34658 * - * Here a correction term c will be computed to compensate + * Here a correction term c will be computed to compensate * the error in r when rounded to a floating-point number. * * 2. Approximating expm1(r) by a special rational function on @@ -36,9 +36,9 @@ static char rcsid[] = "$Id: s_expm1.c,v 1.6 1994/08/18 23:06:39 jtc Exp $"; * R1(r**2) = 6/r *((exp(r)+1)/(exp(r)-1) - 2/r) * = 6/r * ( 1 + 2.0*(1/(exp(r)-1) - 1/r)) * = 1 - r^2/60 + r^4/2520 - r^6/100800 + ... - * We use a special Reme algorithm on [0,0.347] to generate - * a polynomial of degree 5 in r*r to approximate R1. The - * maximum error of this polynomial approximation is bounded + * We use a special Reme algorithm on [0,0.347] to generate + * a polynomial of degree 5 in r*r to approximate R1. The + * maximum error of this polynomial approximation is bounded * by 2**-61. In other words, * R1(z) ~ 1.0 + Q1*z + Q2*z**2 + Q3*z**3 + Q4*z**4 + Q5*z**5 * where Q1 = -1.6666666666666567384E-2, @@ -49,28 +49,28 @@ static char rcsid[] = "$Id: s_expm1.c,v 1.6 1994/08/18 23:06:39 jtc Exp $"; * (where z=r*r, and the values of Q1 to Q5 are listed below) * with error bounded by * | 5 | -61 - * | 1.0+Q1*z+...+Q5*z - R1(z) | <= 2 + * | 1.0+Q1*z+...+Q5*z - R1(z) | <= 2 * | | - * - * expm1(r) = exp(r)-1 is then computed by the following - * specific way which minimize the accumulation rounding error: + * + * expm1(r) = exp(r)-1 is then computed by the following + * specific way which minimize the accumulation rounding error: * 2 3 * r r [ 3 - (R1 + R1*r/2) ] * expm1(r) = r + --- + --- * [--------------------] * 2 2 [ 6 - r*(3 - R1*r/2) ] - * + * * To compensate the error in the argument reduction, we use - * expm1(r+c) = expm1(r) + c + expm1(r)*c - * ~ expm1(r) + c + r*c + * expm1(r+c) = expm1(r) + c + expm1(r)*c + * ~ expm1(r) + c + r*c * Thus c+r*c will be added in as the correction terms for - * expm1(r+c). Now rearrange the term to avoid optimization + * expm1(r+c). Now rearrange the term to avoid optimization * screw up: * ( 2 2 ) * ({ ( r [ R1 - (3 - R1*r/2) ] ) } r ) * expm1(r+c)~r - ({r*(--- * [--------------------]-c)-c} - --- ) * ({ ( 2 [ 6 - r*(3 - R1*r/2) ] ) } 2 ) * ( ) - * + * * = r - E * 3. Scale back to obtain expm1(x): * From step 1, we have @@ -87,7 +87,7 @@ static char rcsid[] = "$Id: s_expm1.c,v 1.6 1994/08/18 23:06:39 jtc Exp $"; * else return 1.0+2.0*(r-E); * (v) if (k<-2||k>56) return 2^k(1-(E-r)) - 1 (or exp(x)-1) * (vi) if k <= 20, return 2^k((1-2^-k)-(E-r)), else - * (vii) return 2^k(1-((E+2^-k)-r)) + * (vii) return 2^k(1-((E+2^-k)-r)) * * Special cases: * expm1(INF) is INF, expm1(NaN) is NaN; @@ -99,12 +99,12 @@ static char rcsid[] = "$Id: s_expm1.c,v 1.6 1994/08/18 23:06:39 jtc Exp $"; * 1 ulp (unit in the last place). * * Misc. info. - * For IEEE double + * For IEEE double * if x > 7.09782712893383973096e+02 then expm1(x) overflow * * Constants: - * The hexadecimal values are the intended ones for the following - * constants. The decimal values may be used, provided that the + * The hexadecimal values are the intended ones for the following + * constants. The decimal values may be used, provided that the * compiler will convert from decimal to binary accurately enough * to produce the hexadecimal values shown. */ @@ -153,7 +153,7 @@ Q5 = -2.01099218183624371326e-07; /* BE8AFDB7 6E09C32D */ if(hx>=0x7ff00000) { u_int32_t low; GET_LOW_WORD(low,x); - if(((hx&0xfffff)|low)!=0) + if(((hx&0xfffff)|low)!=0) return x+x; /* NaN */ else return (xsb==0)? x:-1.0;/* exp(+-inf)={inf,-1} */ } @@ -166,7 +166,7 @@ Q5 = -2.01099218183624371326e-07; /* BE8AFDB7 6E09C32D */ } /* argument reduction */ - if(hx > 0x3fd62e42) { /* if |x| > 0.5 ln2 */ + if(hx > 0x3fd62e42) { /* if |x| > 0.5 ln2 */ if(hx < 0x3FF0A2B2) { /* and |x| < 1.5 ln2 */ if(xsb==0) {hi = x - ln2_hi; lo = ln2_lo; k = 1;} @@ -180,10 +180,10 @@ Q5 = -2.01099218183624371326e-07; /* BE8AFDB7 6E09C32D */ } x = hi - lo; c = (hi-x)-lo; - } + } else if(hx < 0x3c900000) { /* when |x|<2**-54, return x */ t = huge+x; /* return x with inexact flags when x!=0 */ - return x - (t-(huge+x)); + return x - (t-(huge+x)); } else k = 0; @@ -198,7 +198,7 @@ Q5 = -2.01099218183624371326e-07; /* BE8AFDB7 6E09C32D */ e = (x*(e-c)-c); e -= hxs; if(k== -1) return 0.5*(x-e)-0.5; - if(k==1) + if(k==1) if(x < -0.25) return -2.0*(e-(x+0.5)); else return one+2.0*(x-e); if (k <= -2 || k>56) { /* suffice to return exp(x)-1 */ diff --git a/lib/msun/src/s_expm1f.c b/lib/msun/src/s_expm1f.c index 35c440b..e7d4351 100644 --- a/lib/msun/src/s_expm1f.c +++ b/lib/msun/src/s_expm1f.c @@ -8,13 +8,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: s_expm1f.c,v 1.2 1994/08/18 23:06:40 jtc Exp $"; +static char rcsid[] = "$Id: s_expm1f.c,v 1.1.1.1 1994/08/19 09:39:58 jkh Exp $"; #endif #include "math.h" @@ -71,7 +71,7 @@ Q5 = -2.0109921195e-07; /* 0xb457edbb */ } /* argument reduction */ - if(hx > 0x3eb17218) { /* if |x| > 0.5 ln2 */ + if(hx > 0x3eb17218) { /* if |x| > 0.5 ln2 */ if(hx < 0x3F851592) { /* and |x| < 1.5 ln2 */ if(xsb==0) {hi = x - ln2_hi; lo = ln2_lo; k = 1;} @@ -85,10 +85,10 @@ Q5 = -2.0109921195e-07; /* 0xb457edbb */ } x = hi - lo; c = (hi-x)-lo; - } + } else if(hx < 0x33000000) { /* when |x|<2**-25, return x */ t = huge+x; /* return x with inexact flags when x!=0 */ - return x - (t-(huge+x)); + return x - (t-(huge+x)); } else k = 0; @@ -103,7 +103,7 @@ Q5 = -2.0109921195e-07; /* 0xb457edbb */ e = (x*(e-c)-c); e -= hxs; if(k== -1) return (float)0.5*(x-e)-(float)0.5; - if(k==1) + if(k==1) if(x < (float)-0.25) return -(float)2.0*(e-(x+(float)0.5)); else return one+(float)2.0*(x-e); if (k <= -2 || k>56) { /* suffice to return exp(x)-1 */ diff --git a/lib/msun/src/s_fabs.c b/lib/msun/src/s_fabs.c index 26e1990..590d559 100644 --- a/lib/msun/src/s_fabs.c +++ b/lib/msun/src/s_fabs.c @@ -5,13 +5,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: s_fabs.c,v 1.5 1994/08/18 23:06:42 jtc Exp $"; +static char rcsid[] = "$Id: s_fabs.c,v 1.1.1.1 1994/08/19 09:39:51 jkh Exp $"; #endif /* diff --git a/lib/msun/src/s_fabsf.c b/lib/msun/src/s_fabsf.c index 3050ecc..e246272 100644 --- a/lib/msun/src/s_fabsf.c +++ b/lib/msun/src/s_fabsf.c @@ -8,13 +8,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: s_fabsf.c,v 1.2 1994/08/18 23:06:43 jtc Exp $"; +static char rcsid[] = "$Id: s_fabsf.c,v 1.1.1.1 1994/08/19 09:39:58 jkh Exp $"; #endif /* diff --git a/lib/msun/src/s_finite.c b/lib/msun/src/s_finite.c index 33fedba..5de6024 100644 --- a/lib/msun/src/s_finite.c +++ b/lib/msun/src/s_finite.c @@ -5,13 +5,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: s_finite.c,v 1.6 1994/08/18 23:06:44 jtc Exp $"; +static char rcsid[] = "$Id: s_finite.c,v 1.1.1.1 1994/08/19 09:39:51 jkh Exp $"; #endif /* diff --git a/lib/msun/src/s_finitef.c b/lib/msun/src/s_finitef.c index a2add12..28b2f79 100644 --- a/lib/msun/src/s_finitef.c +++ b/lib/msun/src/s_finitef.c @@ -8,13 +8,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: s_finitef.c,v 1.2 1994/08/18 23:06:45 jtc Exp $"; +static char rcsid[] = "$Id: s_finitef.c,v 1.1.1.1 1994/08/19 09:39:58 jkh Exp $"; #endif /* diff --git a/lib/msun/src/s_floor.c b/lib/msun/src/s_floor.c index e76d00a..84b5c9d 100644 --- a/lib/msun/src/s_floor.c +++ b/lib/msun/src/s_floor.c @@ -5,13 +5,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: s_floor.c,v 1.6 1994/08/18 23:06:47 jtc Exp $"; +static char rcsid[] = "$Id: s_floor.c,v 1.1.1.1 1994/08/19 09:39:51 jkh Exp $"; #endif /* @@ -46,7 +46,7 @@ static double huge = 1.0e300; if(j0<20) { if(j0<0) { /* raise inexact if x != 0 */ if(huge+x>0.0) {/* return 0*sign(x) if |x|<1 */ - if(i0>=0) {i0=i1=0;} + if(i0>=0) {i0=i1=0;} else if(((i0&0x7fffffff)|i1)!=0) { i0=0xbff00000;i1=0;} } @@ -66,7 +66,7 @@ static double huge = 1.0e300; if((i1&i)==0) return x; /* x is integral */ if(huge+x>0.0) { /* raise inexact flag */ if(i0<0) { - if(j0==20) i0+=1; + if(j0==20) i0+=1; else { j = i1+(1<<(52-j0)); if(j(float)0.0) {/* return 0*sign(x) if |x|<1 */ - if(i0>=0) {i0=0;} + if(i0>=0) {i0=0;} else if((i0&0x7fffffff)!=0) { i0=0xbf800000;} } diff --git a/lib/msun/src/s_frexp.c b/lib/msun/src/s_frexp.c index 00d344f..6a1fadf 100644 --- a/lib/msun/src/s_frexp.c +++ b/lib/msun/src/s_frexp.c @@ -5,23 +5,23 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: s_frexp.c,v 1.1.1.1 1994/08/19 09:39:51 jkh Exp $"; +static char rcsid[] = "$Id: s_frexp.c,v 1.2 1995/04/07 23:23:26 bde Exp $"; #endif /* - * for non-zero x + * for non-zero x * x = frexp(arg,&exp); * return a double fp quantity x such that 0.5 <= |x| <1.0 * and the corresponding binary exponent "exp". That is * arg = x*2^exp. - * If arg is inf, 0.0, or NaN, then frexp(arg,&exp) returns arg - * with *exp=0. + * If arg is inf, 0.0, or NaN, then frexp(arg,&exp) returns arg + * with *exp=0. */ #include "math.h" diff --git a/lib/msun/src/s_frexpf.c b/lib/msun/src/s_frexpf.c index 6988cbe..ee97029 100644 --- a/lib/msun/src/s_frexpf.c +++ b/lib/msun/src/s_frexpf.c @@ -8,13 +8,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: s_frexpf.c,v 1.1.1.1 1994/08/19 09:39:58 jkh Exp $"; +static char rcsid[] = "$Id: s_frexpf.c,v 1.2 1995/04/07 23:23:27 bde Exp $"; #endif #include "math.h" diff --git a/lib/msun/src/s_ilogb.c b/lib/msun/src/s_ilogb.c index 1514cc4..c6263d8 100644 --- a/lib/msun/src/s_ilogb.c +++ b/lib/msun/src/s_ilogb.c @@ -5,13 +5,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: s_ilogb.c,v 1.6 1994/08/18 23:06:52 jtc Exp $"; +static char rcsid[] = "$Id: s_ilogb.c,v 1.1.1.1 1994/08/19 09:39:52 jkh Exp $"; #endif /* ilogb(double x) @@ -35,7 +35,7 @@ static char rcsid[] = "$Id: s_ilogb.c,v 1.6 1994/08/18 23:06:52 jtc Exp $"; EXTRACT_WORDS(hx,lx,x); hx &= 0x7fffffff; if(hx<0x00100000) { - if((hx|lx)==0) + if((hx|lx)==0) return 0x80000001; /* ilogb(0) = 0x80000001 */ else /* subnormal x */ if(hx==0) { diff --git a/lib/msun/src/s_ilogbf.c b/lib/msun/src/s_ilogbf.c index 86bdda6..8c0f162 100644 --- a/lib/msun/src/s_ilogbf.c +++ b/lib/msun/src/s_ilogbf.c @@ -8,13 +8,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: s_ilogbf.c,v 1.2 1994/08/18 23:06:53 jtc Exp $"; +static char rcsid[] = "$Id: s_ilogbf.c,v 1.1.1.1 1994/08/19 09:39:58 jkh Exp $"; #endif #include "math.h" @@ -32,7 +32,7 @@ static char rcsid[] = "$Id: s_ilogbf.c,v 1.2 1994/08/18 23:06:53 jtc Exp $"; GET_FLOAT_WORD(hx,x); hx &= 0x7fffffff; if(hx<0x00800000) { - if(hx==0) + if(hx==0) return 0x80000001; /* ilogb(0) = 0x80000001 */ else /* subnormal x */ for (ix = -126,hx<<=8; hx>0; hx<<=1) ix -=1; diff --git a/lib/msun/src/s_isnan.c b/lib/msun/src/s_isnan.c index 3f18f7d..677913f 100644 --- a/lib/msun/src/s_isnan.c +++ b/lib/msun/src/s_isnan.c @@ -5,13 +5,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: s_isnan.c,v 1.6 1994/08/18 23:06:54 jtc Exp $"; +static char rcsid[] = "$Id: s_isnan.c,v 1.1.1.1 1994/08/19 09:39:52 jkh Exp $"; #endif /* @@ -32,7 +32,7 @@ static char rcsid[] = "$Id: s_isnan.c,v 1.6 1994/08/18 23:06:54 jtc Exp $"; int32_t hx,lx; EXTRACT_WORDS(hx,lx,x); hx &= 0x7fffffff; - hx |= (u_int32_t)(lx|(-lx))>>31; + hx |= (u_int32_t)(lx|(-lx))>>31; hx = 0x7ff00000 - hx; return (int)((u_int32_t)(hx))>>31; } diff --git a/lib/msun/src/s_isnanf.c b/lib/msun/src/s_isnanf.c index 1c74582..4c4e69e 100644 --- a/lib/msun/src/s_isnanf.c +++ b/lib/msun/src/s_isnanf.c @@ -8,13 +8,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: s_isnanf.c,v 1.2 1994/08/18 23:06:56 jtc Exp $"; +static char rcsid[] = "$Id: s_isnanf.c,v 1.1.1.1 1994/08/19 09:39:58 jkh Exp $"; #endif /* diff --git a/lib/msun/src/s_ldexp.c b/lib/msun/src/s_ldexp.c index 824c2e7..1d11ff2 100644 --- a/lib/msun/src/s_ldexp.c +++ b/lib/msun/src/s_ldexp.c @@ -5,13 +5,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: s_ldexp.c,v 1.4 1994/08/10 20:32:37 jtc Exp $"; +static char rcsid[] = "$Id: s_ldexp.c,v 1.1.1.1 1994/08/19 09:39:52 jkh Exp $"; #endif #include "math.h" diff --git a/lib/msun/src/s_ldexpf.c b/lib/msun/src/s_ldexpf.c index cdb4476..7cd0ce0 100644 --- a/lib/msun/src/s_ldexpf.c +++ b/lib/msun/src/s_ldexpf.c @@ -8,13 +8,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: s_ldexpf.c,v 1.1 1994/08/10 20:32:39 jtc Exp $"; +static char rcsid[] = "$Id: s_ldexpf.c,v 1.1.1.1 1994/08/19 09:39:58 jkh Exp $"; #endif #include "math.h" diff --git a/lib/msun/src/s_lib_version.c b/lib/msun/src/s_lib_version.c index d8c8750..7936f89 100644 --- a/lib/msun/src/s_lib_version.c +++ b/lib/msun/src/s_lib_version.c @@ -5,13 +5,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: s_lib_version.c,v 1.4 1994/08/10 20:32:40 jtc Exp $"; +static char rcsid[] = "$Id: s_lib_version.c,v 1.1.1.1 1994/08/19 09:39:52 jkh Exp $"; #endif /* diff --git a/lib/msun/src/s_log1p.c b/lib/msun/src/s_log1p.c index 475c7ab..56218d4 100644 --- a/lib/msun/src/s_log1p.c +++ b/lib/msun/src/s_log1p.c @@ -5,20 +5,20 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: s_log1p.c,v 1.6 1994/08/18 23:06:59 jtc Exp $"; +static char rcsid[] = "$Id: s_log1p.c,v 1.1.1.1 1994/08/19 09:39:52 jkh Exp $"; #endif /* double log1p(double x) * - * Method : - * 1. Argument Reduction: find k and f such that - * 1+x = 2^k * (1+f), + * Method : + * 1. Argument Reduction: find k and f such that + * 1+x = 2^k * (1+f), * where sqrt(2)/2 < 1+f < sqrt(2) . * * Note. If k=0, then f=x is exact. However, if k!=0, then f @@ -32,8 +32,8 @@ static char rcsid[] = "$Id: s_log1p.c,v 1.6 1994/08/18 23:06:59 jtc Exp $"; * Let s = f/(2+f) ; based on log(1+f) = log(1+s) - log(1-s) * = 2s + 2/3 s**3 + 2/5 s**5 + ....., * = 2s + s*R - * We use a special Reme algorithm on [0,0.1716] to generate - * a polynomial of degree 14 to approximate R The maximum error + * We use a special Reme algorithm on [0,0.1716] to generate + * a polynomial of degree 14 to approximate R The maximum error * of this polynomial approximation is bounded by 2**-58.45. In * other words, * 2 4 6 8 10 12 14 @@ -41,21 +41,21 @@ static char rcsid[] = "$Id: s_log1p.c,v 1.6 1994/08/18 23:06:59 jtc Exp $"; * (the values of Lp1 to Lp7 are listed in the program) * and * | 2 14 | -58.45 - * | Lp1*s +...+Lp7*s - R(z) | <= 2 + * | Lp1*s +...+Lp7*s - R(z) | <= 2 * | | * Note that 2s = f - s*f = f - hfsq + s*hfsq, where hfsq = f*f/2. * In order to guarantee error in log below 1ulp, we compute log * by * log1p(f) = f - (hfsq - s*(hfsq+R)). - * - * 3. Finally, log1p(x) = k*ln2 + log1p(f). + * + * 3. Finally, log1p(x) = k*ln2 + log1p(f). * = k*ln2_hi+(f-(hfsq-(s*(hfsq+R)+k*ln2_lo))) - * Here ln2 is split into two floating point number: + * Here ln2 is split into two floating point number: * ln2_hi + ln2_lo, * where n*ln2_hi is always exact for |n| < 2000. * * Special cases: - * log1p(x) is NaN with signal if x < -1 (including -INF) ; + * log1p(x) is NaN with signal if x < -1 (including -INF) ; * log1p(+INF) is +INF; log1p(-1) is -INF with signal; * log1p(NaN) is that NaN with no signal. * @@ -64,14 +64,14 @@ static char rcsid[] = "$Id: s_log1p.c,v 1.6 1994/08/18 23:06:59 jtc Exp $"; * 1 ulp (unit in the last place). * * Constants: - * The hexadecimal values are the intended ones for the following - * constants. The decimal values may be used, provided that the - * compiler will convert from decimal to binary accurately enough + * The hexadecimal values are the intended ones for the following + * constants. The decimal values may be used, provided that the + * compiler will convert from decimal to binary accurately enough * to produce the hexadecimal values shown. * * Note: Assuming log() return accurate answer, the following * algorithm can be used to compute log1p(x) to within a few ULP: - * + * * u = 1+x; * if(u==1.0) return x ; else * return log(u)*(x/(u-1.0)); @@ -132,11 +132,11 @@ static double zero = 0.0; } if(hx>0||hx<=((int32_t)0xbfd2bec3)) { k=0;f=x;hu=1;} /* -0.2929= 0x7ff00000) return x+x; if(k!=0) { if(hx<0x43400000) { - u = 1.0+x; + u = 1.0+x; GET_HIGH_WORD(hu,u); k = (hu>>20)-1023; c = (k>0)? 1.0-(u-x):x-(u-1.0);/* correction term */ @@ -151,7 +151,7 @@ static double zero = 0.0; if(hu<0x6a09e) { SET_HIGH_WORD(u,hu|0x3ff00000); /* normalize u */ } else { - k += 1; + k += 1; SET_HIGH_WORD(u,hu|0x3fe00000); /* normalize u/2 */ hu = (0x00100000-hu)>>2; } @@ -159,13 +159,13 @@ static double zero = 0.0; } hfsq=0.5*f*f; if(hu==0) { /* |f| < 2**-20 */ - if(f==zero) if(k==0) return zero; + if(f==zero) if(k==0) return zero; else {c += k*ln2_lo; return k*ln2_hi+c;} R = hfsq*(1.0-0.66666666666666666*f); if(k==0) return f-R; else return k*ln2_hi-((R-(k*ln2_lo+c))-f); } - s = f/(2.0+f); + s = f/(2.0+f); z = s*s; R = z*(Lp1+z*(Lp2+z*(Lp3+z*(Lp4+z*(Lp5+z*(Lp6+z*Lp7)))))); if(k==0) return f-(hfsq-s*(hfsq+R)); else diff --git a/lib/msun/src/s_log1pf.c b/lib/msun/src/s_log1pf.c index 229bb82..4c4f652 100644 --- a/lib/msun/src/s_log1pf.c +++ b/lib/msun/src/s_log1pf.c @@ -8,13 +8,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: s_log1pf.c,v 1.2 1994/08/18 23:07:02 jtc Exp $"; +static char rcsid[] = "$Id: s_log1pf.c,v 1.1.1.1 1994/08/19 09:39:58 jkh Exp $"; #endif #include "math.h" @@ -70,11 +70,11 @@ static float zero = 0.0; } if(hx>0||hx<=((int32_t)0xbe95f61f)) { k=0;f=x;hu=1;} /* -0.2929= 0x7f800000) return x+x; if(k!=0) { if(hx<0x5a000000) { - u = (float)1.0+x; + u = (float)1.0+x; GET_FLOAT_WORD(hu,u); k = (hu>>23)-127; /* correction term */ @@ -90,7 +90,7 @@ static float zero = 0.0; if(hu<0x3504f7) { SET_FLOAT_WORD(u,hu|0x3f800000);/* normalize u */ } else { - k += 1; + k += 1; SET_FLOAT_WORD(u,hu|0x3f000000); /* normalize u/2 */ hu = (0x00800000-hu)>>2; } @@ -98,13 +98,13 @@ static float zero = 0.0; } hfsq=(float)0.5*f*f; if(hu==0) { /* |f| < 2**-20 */ - if(f==zero) if(k==0) return zero; + if(f==zero) if(k==0) return zero; else {c += k*ln2_lo; return k*ln2_hi+c;} R = hfsq*((float)1.0-(float)0.66666666666666666*f); if(k==0) return f-R; else return k*ln2_hi-((R-(k*ln2_lo+c))-f); } - s = f/((float)2.0+f); + s = f/((float)2.0+f); z = s*s; R = z*(Lp1+z*(Lp2+z*(Lp3+z*(Lp4+z*(Lp5+z*(Lp6+z*Lp7)))))); if(k==0) return f-(hfsq-s*(hfsq+R)); else diff --git a/lib/msun/src/s_logb.c b/lib/msun/src/s_logb.c index d842cbf..96e8fc4 100644 --- a/lib/msun/src/s_logb.c +++ b/lib/msun/src/s_logb.c @@ -5,13 +5,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: s_logb.c,v 1.6 1994/08/18 23:07:04 jtc Exp $"; +static char rcsid[] = "$Id: s_logb.c,v 1.1.1.1 1994/08/19 09:39:52 jkh Exp $"; #endif /* @@ -36,7 +36,7 @@ static char rcsid[] = "$Id: s_logb.c,v 1.6 1994/08/18 23:07:04 jtc Exp $"; if((ix|lx)==0) return -1.0/fabs(x); if(ix>=0x7ff00000) return x*x; if((ix>>=20)==0) /* IEEE 754 logb */ - return -1022.0; + return -1022.0; else - return (double) (ix-1023); + return (double) (ix-1023); } diff --git a/lib/msun/src/s_logbf.c b/lib/msun/src/s_logbf.c index 0ee1bbe..ddc0a04 100644 --- a/lib/msun/src/s_logbf.c +++ b/lib/msun/src/s_logbf.c @@ -8,13 +8,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: s_logbf.c,v 1.2 1994/08/18 23:07:07 jtc Exp $"; +static char rcsid[] = "$Id: s_logbf.c,v 1.1.1.1 1994/08/19 09:39:58 jkh Exp $"; #endif #include "math.h" @@ -33,7 +33,7 @@ static char rcsid[] = "$Id: s_logbf.c,v 1.2 1994/08/18 23:07:07 jtc Exp $"; if(ix==0) return (float)-1.0/fabsf(x); if(ix>=0x7f800000) return x*x; if((ix>>=23)==0) /* IEEE 754 logb */ - return -126.0; + return -126.0; else - return (float) (ix-127); + return (float) (ix-127); } diff --git a/lib/msun/src/s_matherr.c b/lib/msun/src/s_matherr.c index 102cde3..219a88c 100644 --- a/lib/msun/src/s_matherr.c +++ b/lib/msun/src/s_matherr.c @@ -5,13 +5,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: s_matherr.c,v 1.4 1994/08/10 20:32:52 jtc Exp $"; +static char rcsid[] = "$Id: s_matherr.c,v 1.1.1.1 1994/08/19 09:39:52 jkh Exp $"; #endif #include "math.h" diff --git a/lib/msun/src/s_modf.c b/lib/msun/src/s_modf.c index 2a3d243..b0ebbd0 100644 --- a/lib/msun/src/s_modf.c +++ b/lib/msun/src/s_modf.c @@ -5,17 +5,17 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: s_modf.c,v 1.6 1994/08/18 23:07:09 jtc Exp $"; +static char rcsid[] = "$Id: s_modf.c,v 1.1.1.1 1994/08/19 09:39:52 jkh Exp $"; #endif /* - * modf(double x, double *iptr) + * modf(double x, double *iptr) * return fraction part of x, and return x's integral part in *iptr. * Method: * Bit twiddling. diff --git a/lib/msun/src/s_modff.c b/lib/msun/src/s_modff.c index 63157e7..d1f0e32 100644 --- a/lib/msun/src/s_modff.c +++ b/lib/msun/src/s_modff.c @@ -8,13 +8,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: s_modff.c,v 1.2 1994/08/18 23:07:12 jtc Exp $"; +static char rcsid[] = "$Id: s_modff.c,v 1.1.1.1 1994/08/19 09:39:58 jkh Exp $"; #endif #include "math.h" diff --git a/lib/msun/src/s_nextafter.c b/lib/msun/src/s_nextafter.c index be480bc..1936fad 100644 --- a/lib/msun/src/s_nextafter.c +++ b/lib/msun/src/s_nextafter.c @@ -5,13 +5,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: s_nextafter.c,v 1.6 1994/08/18 23:07:13 jtc Exp $"; +static char rcsid[] = "$Id: s_nextafter.c,v 1.1.1.1 1994/08/19 09:39:52 jkh Exp $"; #endif /* IEEE functions @@ -39,15 +39,15 @@ static char rcsid[] = "$Id: s_nextafter.c,v 1.6 1994/08/18 23:07:13 jtc Exp $"; ix = hx&0x7fffffff; /* |x| */ iy = hy&0x7fffffff; /* |y| */ - if(((ix>=0x7ff00000)&&((ix-0x7ff00000)|lx)!=0) || /* x is nan */ - ((iy>=0x7ff00000)&&((iy-0x7ff00000)|ly)!=0)) /* y is nan */ - return x+y; + if(((ix>=0x7ff00000)&&((ix-0x7ff00000)|lx)!=0) || /* x is nan */ + ((iy>=0x7ff00000)&&((iy-0x7ff00000)|ly)!=0)) /* y is nan */ + return x+y; if(x==y) return x; /* x=y, return x */ if((ix|lx)==0) { /* x == 0 */ INSERT_WORDS(x,hy&0x80000000,1); /* return +-minsubnormal */ y = x*x; if(y==x) return y; else return x; /* raise underflow flag */ - } + } if(hx>=0) { /* x > 0 */ if(hx>hy||((hx==hy)&&(lx>ly))) { /* x > y, x -= ulp */ if(lx==0) hx -= 1; diff --git a/lib/msun/src/s_nextafterf.c b/lib/msun/src/s_nextafterf.c index fa3a211..bd87070 100644 --- a/lib/msun/src/s_nextafterf.c +++ b/lib/msun/src/s_nextafterf.c @@ -8,13 +8,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: s_nextafterf.c,v 1.2 1994/08/18 23:07:15 jtc Exp $"; +static char rcsid[] = "$Id: s_nextafterf.c,v 1.1.1.1 1994/08/19 09:39:58 jkh Exp $"; #endif #include "math.h" @@ -34,15 +34,15 @@ static char rcsid[] = "$Id: s_nextafterf.c,v 1.2 1994/08/18 23:07:15 jtc Exp $"; ix = hx&0x7fffffff; /* |x| */ iy = hy&0x7fffffff; /* |y| */ - if((ix>0x7f800000) || /* x is nan */ - (iy>0x7f800000)) /* y is nan */ - return x+y; + if((ix>0x7f800000) || /* x is nan */ + (iy>0x7f800000)) /* y is nan */ + return x+y; if(x==y) return x; /* x=y, return x */ if(ix==0) { /* x == 0 */ SET_FLOAT_WORD(x,(hy&0x80000000)|1);/* return +-minsubnormal */ y = x*x; if(y==x) return y; else return x; /* raise underflow flag */ - } + } if(hx>=0) { /* x > 0 */ if(hx>hy) { /* x > y, x -= ulp */ hx -= 1; diff --git a/lib/msun/src/s_rint.c b/lib/msun/src/s_rint.c index b324ed5..3476eef 100644 --- a/lib/msun/src/s_rint.c +++ b/lib/msun/src/s_rint.c @@ -5,13 +5,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: s_rint.c,v 1.6 1994/08/18 23:07:16 jtc Exp $"; +static char rcsid[] = "$Id: s_rint.c,v 1.1.1.1 1994/08/19 09:39:52 jkh Exp $"; #endif /* @@ -30,7 +30,7 @@ static char rcsid[] = "$Id: s_rint.c,v 1.6 1994/08/18 23:07:16 jtc Exp $"; #ifdef __STDC__ static const double #else -static double +static double #endif TWO52[2]={ 4.50359962737049600000e+15, /* 0x43300000, 0x00000000 */ @@ -51,7 +51,7 @@ TWO52[2]={ sx = (i0>>31)&1; j0 = ((i0>>20)&0x7ff)-0x3ff; if(j0<20) { - if(j0<0) { + if(j0<0) { if(((i0&0x7fffffff)|i1)==0) return x; i1 |= (i0&0x0fffff); i0 &= 0xfffe0000; diff --git a/lib/msun/src/s_rintf.c b/lib/msun/src/s_rintf.c index 855442f..4e77aab 100644 --- a/lib/msun/src/s_rintf.c +++ b/lib/msun/src/s_rintf.c @@ -8,13 +8,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: s_rintf.c,v 1.2 1994/08/18 23:07:17 jtc Exp $"; +static char rcsid[] = "$Id: s_rintf.c,v 1.1.1.1 1994/08/19 09:39:58 jkh Exp $"; #endif #include "math.h" @@ -23,7 +23,7 @@ static char rcsid[] = "$Id: s_rintf.c,v 1.2 1994/08/18 23:07:17 jtc Exp $"; #ifdef __STDC__ static const float #else -static float +static float #endif TWO23[2]={ 8.3886080000e+06, /* 0x4b000000 */ @@ -44,7 +44,7 @@ TWO23[2]={ sx = (i0>>31)&1; j0 = ((i0>>23)&0xff)-0x7f; if(j0<23) { - if(j0<0) { + if(j0<0) { if((i0&0x7fffffff)==0) return x; i1 = (i0&0x07fffff); i0 &= 0xfff00000; diff --git a/lib/msun/src/s_scalbn.c b/lib/msun/src/s_scalbn.c index 1effa62..6549931 100644 --- a/lib/msun/src/s_scalbn.c +++ b/lib/msun/src/s_scalbn.c @@ -5,19 +5,19 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: s_scalbn.c,v 1.6 1994/08/18 23:10:13 jtc Exp $"; +static char rcsid[] = "$Id: s_scalbn.c,v 1.1.1.1 1994/08/19 09:39:52 jkh Exp $"; #endif -/* +/* * scalbn (double x, int n) - * scalbn(x,n) returns x* 2**n computed by exponent - * manipulation rather than by actually performing an + * scalbn(x,n) returns x* 2**n computed by exponent + * manipulation rather than by actually performing an * exponentiation or a multiplication. */ @@ -46,13 +46,13 @@ tiny = 1.0e-300; k = (hx&0x7ff00000)>>20; /* extract exponent */ if (k==0) { /* 0 or subnormal x */ if ((lx|(hx&0x7fffffff))==0) return x; /* +-0 */ - x *= two54; + x *= two54; GET_HIGH_WORD(hx,x); - k = ((hx&0x7ff00000)>>20) - 54; + k = ((hx&0x7ff00000)>>20) - 54; if (n< -50000) return tiny*x; /*underflow*/ } if (k==0x7ff) return x+x; /* NaN or Inf */ - k = k+n; + k = k+n; if (k > 0x7fe) return huge*copysign(huge,x); /* overflow */ if (k > 0) /* normal result */ {SET_HIGH_WORD(x,(hx&0x800fffff)|(k<<20)); return x;} diff --git a/lib/msun/src/s_scalbnf.c b/lib/msun/src/s_scalbnf.c index bae30d9..08b1640 100644 --- a/lib/msun/src/s_scalbnf.c +++ b/lib/msun/src/s_scalbnf.c @@ -8,13 +8,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: s_scalbnf.c,v 1.2 1994/08/18 23:10:15 jtc Exp $"; +static char rcsid[] = "$Id: s_scalbnf.c,v 1.1.1.1 1994/08/19 09:39:58 jkh Exp $"; #endif #include "math.h" @@ -44,11 +44,11 @@ tiny = 1.0e-30; if ((ix&0x7fffffff)==0) return x; /* +-0 */ x *= two25; GET_FLOAT_WORD(ix,x); - k = ((ix&0x7f800000)>>23) - 25; + k = ((ix&0x7f800000)>>23) - 25; if (n< -50000) return tiny*x; /*underflow*/ } if (k==0xff) return x+x; /* NaN or Inf */ - k = k+n; + k = k+n; if (k > 0xfe) return huge*copysignf(huge,x); /* overflow */ if (k > 0) /* normal result */ {SET_FLOAT_WORD(x,(ix&0x807fffff)|(k<<23)); return x;} diff --git a/lib/msun/src/s_significand.c b/lib/msun/src/s_significand.c index 424dbe9..b30e6f2 100644 --- a/lib/msun/src/s_significand.c +++ b/lib/msun/src/s_significand.c @@ -5,13 +5,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: s_significand.c,v 1.4 1994/08/10 20:33:06 jtc Exp $"; +static char rcsid[] = "$Id: s_significand.c,v 1.1.1.1 1994/08/19 09:39:52 jkh Exp $"; #endif /* diff --git a/lib/msun/src/s_significandf.c b/lib/msun/src/s_significandf.c index 883b339..445f264 100644 --- a/lib/msun/src/s_significandf.c +++ b/lib/msun/src/s_significandf.c @@ -8,13 +8,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: s_significandf.c,v 1.1 1994/08/10 20:33:07 jtc Exp $"; +static char rcsid[] = "$Id: s_significandf.c,v 1.1.1.1 1994/08/19 09:39:58 jkh Exp $"; #endif #include "math.h" diff --git a/lib/msun/src/s_sin.c b/lib/msun/src/s_sin.c index eff762a..a06d8b0 100644 --- a/lib/msun/src/s_sin.c +++ b/lib/msun/src/s_sin.c @@ -5,13 +5,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: s_sin.c,v 1.5 1994/08/18 23:10:17 jtc Exp $"; +static char rcsid[] = "$Id: s_sin.c,v 1.1.1.1 1994/08/19 09:39:52 jkh Exp $"; #endif /* sin(x) @@ -23,8 +23,8 @@ static char rcsid[] = "$Id: s_sin.c,v 1.5 1994/08/18 23:10:17 jtc Exp $"; * __ieee754_rem_pio2 ... argument reduction routine * * Method. - * Let S,C and T denote the sin, cos and tan respectively on - * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2 + * Let S,C and T denote the sin, cos and tan respectively on + * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2 * in [-pi/4 , +pi/4], and let n = k mod 4. * We have * @@ -42,7 +42,7 @@ static char rcsid[] = "$Id: s_sin.c,v 1.5 1994/08/18 23:10:17 jtc Exp $"; * trig(NaN) is that NaN; * * Accuracy: - * TRIG(x) returns trig(x) nearly rounded + * TRIG(x) returns trig(x) nearly rounded */ #include "math.h" diff --git a/lib/msun/src/s_sinf.c b/lib/msun/src/s_sinf.c index b2fafe2..69b4841 100644 --- a/lib/msun/src/s_sinf.c +++ b/lib/msun/src/s_sinf.c @@ -8,13 +8,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: s_sinf.c,v 1.2 1994/08/18 23:10:18 jtc Exp $"; +static char rcsid[] = "$Id: s_sinf.c,v 1.1.1.1 1994/08/19 09:39:58 jkh Exp $"; #endif #include "math.h" diff --git a/lib/msun/src/s_tan.c b/lib/msun/src/s_tan.c index 97f7849..24a4063 100644 --- a/lib/msun/src/s_tan.c +++ b/lib/msun/src/s_tan.c @@ -5,13 +5,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: s_tan.c,v 1.5 1994/08/18 23:10:19 jtc Exp $"; +static char rcsid[] = "$Id: s_tan.c,v 1.1.1.1 1994/08/19 09:39:53 jkh Exp $"; #endif /* tan(x) @@ -22,8 +22,8 @@ static char rcsid[] = "$Id: s_tan.c,v 1.5 1994/08/18 23:10:19 jtc Exp $"; * __ieee754_rem_pio2 ... argument reduction routine * * Method. - * Let S,C and T denote the sin, cos and tan respectively on - * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2 + * Let S,C and T denote the sin, cos and tan respectively on + * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2 * in [-pi/4 , +pi/4], and let n = k mod 4. * We have * @@ -41,7 +41,7 @@ static char rcsid[] = "$Id: s_tan.c,v 1.5 1994/08/18 23:10:19 jtc Exp $"; * trig(NaN) is that NaN; * * Accuracy: - * TRIG(x) returns trig(x) nearly rounded + * TRIG(x) returns trig(x) nearly rounded */ #include "math.h" diff --git a/lib/msun/src/s_tanf.c b/lib/msun/src/s_tanf.c index dd993a6..0fb7e19 100644 --- a/lib/msun/src/s_tanf.c +++ b/lib/msun/src/s_tanf.c @@ -8,13 +8,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: s_tanf.c,v 1.2 1994/08/18 23:10:20 jtc Exp $"; +static char rcsid[] = "$Id: s_tanf.c,v 1.1.1.1 1994/08/19 09:39:58 jkh Exp $"; #endif #include "math.h" diff --git a/lib/msun/src/s_tanh.c b/lib/msun/src/s_tanh.c index c987a1a..dc1baaa 100644 --- a/lib/msun/src/s_tanh.c +++ b/lib/msun/src/s_tanh.c @@ -5,13 +5,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: s_tanh.c,v 1.5 1994/08/18 23:10:22 jtc Exp $"; +static char rcsid[] = "$Id: s_tanh.c,v 1.1.1.1 1994/08/19 09:39:53 jkh Exp $"; #endif /* Tanh(x) @@ -62,7 +62,7 @@ static double one=1.0, two=2.0, tiny = 1.0e-300; ix = jx&0x7fffffff; /* x is INF or NaN */ - if(ix>=0x7ff00000) { + if(ix>=0x7ff00000) { if (jx>=0) return one/x+one; /* tanh(+-inf)=+-1 */ else return one/x-one; /* tanh(NaN) = NaN */ } diff --git a/lib/msun/src/s_tanhf.c b/lib/msun/src/s_tanhf.c index aa14176..4790831 100644 --- a/lib/msun/src/s_tanhf.c +++ b/lib/msun/src/s_tanhf.c @@ -8,13 +8,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: s_tanhf.c,v 1.2 1994/08/18 23:10:23 jtc Exp $"; +static char rcsid[] = "$Id: s_tanhf.c,v 1.1.1.1 1994/08/19 09:39:59 jkh Exp $"; #endif #include "math.h" @@ -40,7 +40,7 @@ static float one=1.0, two=2.0, tiny = 1.0e-30; ix = jx&0x7fffffff; /* x is INF or NaN */ - if(ix>=0x7f800000) { + if(ix>=0x7f800000) { if (jx>=0) return one/x+one; /* tanh(+-inf)=+-1 */ else return one/x-one; /* tanh(NaN) = NaN */ } diff --git a/lib/msun/src/w_acos.c b/lib/msun/src/w_acos.c index b5fefeb..af5f022 100644 --- a/lib/msun/src/w_acos.c +++ b/lib/msun/src/w_acos.c @@ -5,13 +5,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: w_acos.c,v 1.4 1994/08/10 20:33:18 jtc Exp $"; +static char rcsid[] = "$Id: w_acos.c,v 1.1.1.1 1994/08/19 09:39:53 jkh Exp $"; #endif /* diff --git a/lib/msun/src/w_acosf.c b/lib/msun/src/w_acosf.c index 6c8fc6f..1501235 100644 --- a/lib/msun/src/w_acosf.c +++ b/lib/msun/src/w_acosf.c @@ -8,13 +8,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: w_acosf.c,v 1.1 1994/08/10 20:33:23 jtc Exp $"; +static char rcsid[] = "$Id: w_acosf.c,v 1.1.1.1 1994/08/19 09:39:59 jkh Exp $"; #endif /* diff --git a/lib/msun/src/w_acosh.c b/lib/msun/src/w_acosh.c index 306cd31..d32cd3d 100644 --- a/lib/msun/src/w_acosh.c +++ b/lib/msun/src/w_acosh.c @@ -5,16 +5,16 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: w_acosh.c,v 1.4 1994/08/10 20:33:25 jtc Exp $"; +static char rcsid[] = "$Id: w_acosh.c,v 1.1.1.1 1994/08/19 09:39:53 jkh Exp $"; #endif -/* +/* * wrapper acosh(x) */ diff --git a/lib/msun/src/w_acoshf.c b/lib/msun/src/w_acoshf.c index 5ba01e4..2326853 100644 --- a/lib/msun/src/w_acoshf.c +++ b/lib/msun/src/w_acoshf.c @@ -8,17 +8,17 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== * */ #ifndef lint -static char rcsid[] = "$Id: w_acoshf.c,v 1.1 1994/08/10 20:33:28 jtc Exp $"; +static char rcsid[] = "$Id: w_acoshf.c,v 1.1.1.1 1994/08/19 09:39:59 jkh Exp $"; #endif -/* +/* * wrapper acoshf(x) */ diff --git a/lib/msun/src/w_asin.c b/lib/msun/src/w_asin.c index f28c018..7174df6 100644 --- a/lib/msun/src/w_asin.c +++ b/lib/msun/src/w_asin.c @@ -5,16 +5,16 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: w_asin.c,v 1.4 1994/08/10 20:33:30 jtc Exp $"; +static char rcsid[] = "$Id: w_asin.c,v 1.1.1.1 1994/08/19 09:39:53 jkh Exp $"; #endif -/* +/* * wrapper asin(x) */ diff --git a/lib/msun/src/w_asinf.c b/lib/msun/src/w_asinf.c index bdad943..fdc08d4 100644 --- a/lib/msun/src/w_asinf.c +++ b/lib/msun/src/w_asinf.c @@ -8,16 +8,16 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: w_asinf.c,v 1.1 1994/08/10 20:33:34 jtc Exp $"; +static char rcsid[] = "$Id: w_asinf.c,v 1.1.1.1 1994/08/19 09:39:59 jkh Exp $"; #endif -/* +/* * wrapper asinf(x) */ diff --git a/lib/msun/src/w_atan2.c b/lib/msun/src/w_atan2.c index 1d4055d..b408ad6 100644 --- a/lib/msun/src/w_atan2.c +++ b/lib/msun/src/w_atan2.c @@ -5,16 +5,16 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: w_atan2.c,v 1.4 1994/08/10 20:33:38 jtc Exp $"; +static char rcsid[] = "$Id: w_atan2.c,v 1.1.1.1 1994/08/19 09:39:53 jkh Exp $"; #endif -/* +/* * wrapper atan2(y,x) */ diff --git a/lib/msun/src/w_atan2f.c b/lib/msun/src/w_atan2f.c index 376e3c0..403cc52 100644 --- a/lib/msun/src/w_atan2f.c +++ b/lib/msun/src/w_atan2f.c @@ -8,16 +8,16 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: w_atan2f.c,v 1.1 1994/08/10 20:33:41 jtc Exp $"; +static char rcsid[] = "$Id: w_atan2f.c,v 1.1.1.1 1994/08/19 09:39:59 jkh Exp $"; #endif -/* +/* * wrapper atan2f(y,x) */ diff --git a/lib/msun/src/w_atanh.c b/lib/msun/src/w_atanh.c index 5c4d3276..c077422 100644 --- a/lib/msun/src/w_atanh.c +++ b/lib/msun/src/w_atanh.c @@ -5,16 +5,16 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: w_atanh.c,v 1.4 1994/08/10 20:33:45 jtc Exp $"; +static char rcsid[] = "$Id: w_atanh.c,v 1.1.1.1 1994/08/19 09:39:53 jkh Exp $"; #endif -/* +/* * wrapper atanh(x) */ @@ -39,7 +39,7 @@ static char rcsid[] = "$Id: w_atanh.c,v 1.4 1994/08/10 20:33:45 jtc Exp $"; if(y>=1.0) { if(y>1.0) return __kernel_standard(x,x,30); /* atanh(|x|>1) */ - else + else return __kernel_standard(x,x,31); /* atanh(|x|==1) */ } else return z; diff --git a/lib/msun/src/w_atanhf.c b/lib/msun/src/w_atanhf.c index cbf8441..8e6fe1a 100644 --- a/lib/msun/src/w_atanhf.c +++ b/lib/msun/src/w_atanhf.c @@ -8,16 +8,16 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: w_atanhf.c,v 1.1 1994/08/10 20:33:48 jtc Exp $"; +static char rcsid[] = "$Id: w_atanhf.c,v 1.1.1.1 1994/08/19 09:39:59 jkh Exp $"; #endif -/* +/* * wrapper atanhf(x) */ @@ -43,7 +43,7 @@ static char rcsid[] = "$Id: w_atanhf.c,v 1.1 1994/08/10 20:33:48 jtc Exp $"; if(y>(float)1.0) /* atanhf(|x|>1) */ return (float)__kernel_standard((double)x,(double)x,130); - else + else /* atanhf(|x|==1) */ return (float)__kernel_standard((double)x,(double)x,131); } else diff --git a/lib/msun/src/w_cabs.c b/lib/msun/src/w_cabs.c index a62592b..b140515 100644 --- a/lib/msun/src/w_cabs.c +++ b/lib/msun/src/w_cabs.c @@ -1,6 +1,6 @@ /* * cabs() wrapper for hypot(). - * + * * Written by J.T. Conklin, * Placed into the Public Domain, 1994. */ diff --git a/lib/msun/src/w_cabsf.c b/lib/msun/src/w_cabsf.c index d957a06..6336d6d 100644 --- a/lib/msun/src/w_cabsf.c +++ b/lib/msun/src/w_cabsf.c @@ -1,6 +1,6 @@ /* * cabsf() wrapper for hypotf(). - * + * * Written by J.T. Conklin, * Placed into the Public Domain, 1994. */ diff --git a/lib/msun/src/w_cosh.c b/lib/msun/src/w_cosh.c index 02d3a3c..5386838 100644 --- a/lib/msun/src/w_cosh.c +++ b/lib/msun/src/w_cosh.c @@ -5,16 +5,16 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: w_cosh.c,v 1.4 1994/08/10 20:33:54 jtc Exp $"; +static char rcsid[] = "$Id: w_cosh.c,v 1.1.1.1 1994/08/19 09:39:53 jkh Exp $"; #endif -/* +/* * wrapper cosh(x) */ @@ -34,7 +34,7 @@ static char rcsid[] = "$Id: w_cosh.c,v 1.4 1994/08/10 20:33:54 jtc Exp $"; double z; z = __ieee754_cosh(x); if(_LIB_VERSION == _IEEE_ || isnan(x)) return z; - if(fabs(x)>7.10475860073943863426e+02) { + if(fabs(x)>7.10475860073943863426e+02) { return __kernel_standard(x,x,5); /* cosh overflow */ } else return z; diff --git a/lib/msun/src/w_coshf.c b/lib/msun/src/w_coshf.c index eddc5f5..64fd579 100644 --- a/lib/msun/src/w_coshf.c +++ b/lib/msun/src/w_coshf.c @@ -8,16 +8,16 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: w_coshf.c,v 1.1 1994/08/10 20:33:56 jtc Exp $"; +static char rcsid[] = "$Id: w_coshf.c,v 1.1.1.1 1994/08/19 09:39:59 jkh Exp $"; #endif -/* +/* * wrapper coshf(x) */ @@ -37,7 +37,7 @@ static char rcsid[] = "$Id: w_coshf.c,v 1.1 1994/08/10 20:33:56 jtc Exp $"; float z; z = __ieee754_coshf(x); if(_LIB_VERSION == _IEEE_ || isnanf(x)) return z; - if(fabsf(x)>(float)8.9415985107e+01) { + if(fabsf(x)>(float)8.9415985107e+01) { /* cosh overflow */ return (float)__kernel_standard((double)x,(double)x,105); } else diff --git a/lib/msun/src/w_drem.c b/lib/msun/src/w_drem.c index 7f50493..0f68409 100644 --- a/lib/msun/src/w_drem.c +++ b/lib/msun/src/w_drem.c @@ -1,6 +1,6 @@ /* * drem() wrapper for remainder(). - * + * * Written by J.T. Conklin, * Placed into the Public Domain, 1994. */ diff --git a/lib/msun/src/w_dremf.c b/lib/msun/src/w_dremf.c index 9f1de53..92079a9 100644 --- a/lib/msun/src/w_dremf.c +++ b/lib/msun/src/w_dremf.c @@ -1,6 +1,6 @@ /* * dremf() wrapper for remainderf(). - * + * * Written by J.T. Conklin, * Placed into the Public Domain, 1994. */ diff --git a/lib/msun/src/w_exp.c b/lib/msun/src/w_exp.c index 80f213b..0d592ee 100644 --- a/lib/msun/src/w_exp.c +++ b/lib/msun/src/w_exp.c @@ -5,16 +5,16 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: w_exp.c,v 1.4 1994/08/10 20:34:00 jtc Exp $"; +static char rcsid[] = "$Id: w_exp.c,v 1.1.1.1 1994/08/19 09:39:53 jkh Exp $"; #endif -/* +/* * wrapper exp(x) */ @@ -47,7 +47,7 @@ u_threshold= -7.45133219101941108420e+02; /* 0xc0874910, 0xD52D3051 */ return __kernel_standard(x,x,6); /* exp overflow */ else if(x1. - * + * */ #include "math.h" diff --git a/lib/msun/src/w_jnf.c b/lib/msun/src/w_jnf.c index 0b33800..00b2ddf 100644 --- a/lib/msun/src/w_jnf.c +++ b/lib/msun/src/w_jnf.c @@ -8,13 +8,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: w_jnf.c,v 1.1 1994/08/10 20:34:47 jtc Exp $"; +static char rcsid[] = "$Id: w_jnf.c,v 1.1.1.1 1994/08/19 09:39:59 jkh Exp $"; #endif #include "math.h" diff --git a/lib/msun/src/w_lgamma.c b/lib/msun/src/w_lgamma.c index 59892e3..f15cb9d 100644 --- a/lib/msun/src/w_lgamma.c +++ b/lib/msun/src/w_lgamma.c @@ -5,13 +5,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: w_lgamma.c,v 1.4 1994/08/10 20:34:53 jtc Exp $"; +static char rcsid[] = "$Id: w_lgamma.c,v 1.1.1.1 1994/08/19 09:39:53 jkh Exp $"; #endif /* double lgamma(double x) @@ -46,4 +46,4 @@ extern int signgam; } else return y; #endif -} +} diff --git a/lib/msun/src/w_lgamma_r.c b/lib/msun/src/w_lgamma_r.c index 52117c0..2cac60c 100644 --- a/lib/msun/src/w_lgamma_r.c +++ b/lib/msun/src/w_lgamma_r.c @@ -5,16 +5,16 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: w_lgamma_r.c,v 1.4 1994/08/10 20:34:57 jtc Exp $"; +static char rcsid[] = "$Id: w_lgamma_r.c,v 1.1.1.1 1994/08/19 09:39:54 jkh Exp $"; #endif -/* +/* * wrapper double lgamma_r(double x, int *signgamp) */ @@ -43,4 +43,4 @@ static char rcsid[] = "$Id: w_lgamma_r.c,v 1.4 1994/08/10 20:34:57 jtc Exp $"; } else return y; #endif -} +} diff --git a/lib/msun/src/w_lgammaf.c b/lib/msun/src/w_lgammaf.c index 74588f3..e4b2aa2 100644 --- a/lib/msun/src/w_lgammaf.c +++ b/lib/msun/src/w_lgammaf.c @@ -8,13 +8,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: w_lgammaf.c,v 1.1 1994/08/10 20:35:00 jtc Exp $"; +static char rcsid[] = "$Id: w_lgammaf.c,v 1.1.1.1 1994/08/19 09:39:59 jkh Exp $"; #endif #include "math.h" @@ -45,4 +45,4 @@ extern int signgam; } else return y; #endif -} +} diff --git a/lib/msun/src/w_lgammaf_r.c b/lib/msun/src/w_lgammaf_r.c index 7e477e9..3fd4f22 100644 --- a/lib/msun/src/w_lgammaf_r.c +++ b/lib/msun/src/w_lgammaf_r.c @@ -8,16 +8,16 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: w_lgammaf_r.c,v 1.1 1994/08/10 20:35:05 jtc Exp $"; +static char rcsid[] = "$Id: w_lgammaf_r.c,v 1.1.1.1 1994/08/19 09:39:59 jkh Exp $"; #endif -/* +/* * wrapper float lgammaf_r(float x, int *signgamp) */ @@ -48,4 +48,4 @@ static char rcsid[] = "$Id: w_lgammaf_r.c,v 1.1 1994/08/10 20:35:05 jtc Exp $"; } else return y; #endif -} +} diff --git a/lib/msun/src/w_log.c b/lib/msun/src/w_log.c index 26f0ae6..e5b8afd 100644 --- a/lib/msun/src/w_log.c +++ b/lib/msun/src/w_log.c @@ -5,13 +5,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: w_log.c,v 1.4 1994/08/10 20:35:09 jtc Exp $"; +static char rcsid[] = "$Id: w_log.c,v 1.1.1.1 1994/08/19 09:39:54 jkh Exp $"; #endif /* @@ -37,7 +37,7 @@ static char rcsid[] = "$Id: w_log.c,v 1.4 1994/08/10 20:35:09 jtc Exp $"; if(_LIB_VERSION == _IEEE_ || isnan(x) || x > 0.0) return z; if(x==0.0) return __kernel_standard(x,x,16); /* log(0) */ - else + else return __kernel_standard(x,x,17); /* log(x<0) */ #endif } diff --git a/lib/msun/src/w_log10.c b/lib/msun/src/w_log10.c index d3c1f5a..c09deeb 100644 --- a/lib/msun/src/w_log10.c +++ b/lib/msun/src/w_log10.c @@ -5,16 +5,16 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: w_log10.c,v 1.4 1994/08/10 20:35:15 jtc Exp $"; +static char rcsid[] = "$Id: w_log10.c,v 1.1.1.1 1994/08/19 09:39:54 jkh Exp $"; #endif -/* +/* * wrapper log10(X) */ @@ -38,7 +38,7 @@ static char rcsid[] = "$Id: w_log10.c,v 1.4 1994/08/10 20:35:15 jtc Exp $"; if(x<=0.0) { if(x==0.0) return __kernel_standard(x,x,18); /* log10(0) */ - else + else return __kernel_standard(x,x,19); /* log10(x<0) */ } else return z; diff --git a/lib/msun/src/w_log10f.c b/lib/msun/src/w_log10f.c index 1c73224..31a9410 100644 --- a/lib/msun/src/w_log10f.c +++ b/lib/msun/src/w_log10f.c @@ -8,16 +8,16 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: w_log10f.c,v 1.1 1994/08/10 20:35:20 jtc Exp $"; +static char rcsid[] = "$Id: w_log10f.c,v 1.1.1.1 1994/08/19 09:40:00 jkh Exp $"; #endif -/* +/* * wrapper log10f(X) */ @@ -42,7 +42,7 @@ static char rcsid[] = "$Id: w_log10f.c,v 1.1 1994/08/10 20:35:20 jtc Exp $"; if(x==(float)0.0) /* log10(0) */ return (float)__kernel_standard((double)x,(double)x,118); - else + else /* log10(x<0) */ return (float)__kernel_standard((double)x,(double)x,119); } else diff --git a/lib/msun/src/w_logf.c b/lib/msun/src/w_logf.c index 77dcf1e..3f3f8d4 100644 --- a/lib/msun/src/w_logf.c +++ b/lib/msun/src/w_logf.c @@ -8,13 +8,13 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: w_logf.c,v 1.1 1994/08/10 20:35:23 jtc Exp $"; +static char rcsid[] = "$Id: w_logf.c,v 1.1.1.1 1994/08/19 09:40:00 jkh Exp $"; #endif /* @@ -41,7 +41,7 @@ static char rcsid[] = "$Id: w_logf.c,v 1.1 1994/08/10 20:35:23 jtc Exp $"; if(x==(float)0.0) /* logf(0) */ return (float)__kernel_standard((double)x,(double)x,116); - else + else /* logf(x<0) */ return (float)__kernel_standard((double)x,(double)x,117); #endif diff --git a/lib/msun/src/w_pow.c b/lib/msun/src/w_pow.c index 6d87ee5..571897c 100644 --- a/lib/msun/src/w_pow.c +++ b/lib/msun/src/w_pow.c @@ -7,12 +7,12 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ -/* +/* * wrapper pow(x,y) return x**y */ @@ -34,12 +34,12 @@ z=__ieee754_pow(x,y); if(_LIB_VERSION == _IEEE_|| isnan(y)) return z; if(isnan(x)) { - if(y==0.0) + if(y==0.0) return __kernel_standard(x,y,42); /* pow(NaN,0.0) */ - else + else return z; } - if(x==0.0){ + if(x==0.0){ if(y==0.0) return __kernel_standard(x,y,20); /* pow(0.0,0.0) */ if(finite(y)&&y<0.0) @@ -50,10 +50,10 @@ if(finite(x)&&finite(y)) { if(isnan(z)) return __kernel_standard(x,y,24); /* pow neg**non-int */ - else + else return __kernel_standard(x,y,21); /* pow overflow */ } - } + } if(z==0.0&&finite(x)&&finite(y)) return __kernel_standard(x,y,22); /* pow underflow */ return z; diff --git a/lib/msun/src/w_powf.c b/lib/msun/src/w_powf.c index c8ab5eb..40fb91f 100644 --- a/lib/msun/src/w_powf.c +++ b/lib/msun/src/w_powf.c @@ -8,16 +8,16 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: w_powf.c,v 1.1 1994/08/10 20:35:29 jtc Exp $"; +static char rcsid[] = "$Id: w_powf.c,v 1.1.1.1 1994/08/19 09:40:00 jkh Exp $"; #endif -/* +/* * wrapper powf(x,y) return x**y */ @@ -39,13 +39,13 @@ static char rcsid[] = "$Id: w_powf.c,v 1.1 1994/08/10 20:35:29 jtc Exp $"; z=__ieee754_powf(x,y); if(_LIB_VERSION == _IEEE_|| isnanf(y)) return z; if(isnanf(x)) { - if(y==(float)0.0) + if(y==(float)0.0) /* powf(NaN,0.0) */ return (float)__kernel_standard((double)x,(double)y,142); - else + else return z; } - if(x==(float)0.0){ + if(x==(float)0.0){ if(y==(float)0.0) /* powf(0.0,0.0) */ return (float)__kernel_standard((double)x,(double)y,120); @@ -59,11 +59,11 @@ static char rcsid[] = "$Id: w_powf.c,v 1.1 1994/08/10 20:35:29 jtc Exp $"; if(isnanf(z)) /* powf neg**non-int */ return (float)__kernel_standard((double)x,(double)y,124); - else + else /* powf overflow */ return (float)__kernel_standard((double)x,(double)y,121); } - } + } if(z==(float)0.0&&finitef(x)&&finitef(y)) /* powf underflow */ return (float)__kernel_standard((double)x,(double)y,122); diff --git a/lib/msun/src/w_remainder.c b/lib/msun/src/w_remainder.c index 98e4df2..dd0f112 100644 --- a/lib/msun/src/w_remainder.c +++ b/lib/msun/src/w_remainder.c @@ -5,16 +5,16 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: w_remainder.c,v 1.4 1994/08/10 20:35:32 jtc Exp $"; +static char rcsid[] = "$Id: w_remainder.c,v 1.1.1.1 1994/08/19 09:39:54 jkh Exp $"; #endif -/* +/* * wrapper remainder(x,p) */ @@ -34,7 +34,7 @@ static char rcsid[] = "$Id: w_remainder.c,v 1.4 1994/08/10 20:35:32 jtc Exp $"; double z; z = __ieee754_remainder(x,y); if(_LIB_VERSION == _IEEE_ || isnan(y)) return z; - if(y==0.0) + if(y==0.0) return __kernel_standard(x,y,28); /* remainder(x,0) */ else return z; diff --git a/lib/msun/src/w_remainderf.c b/lib/msun/src/w_remainderf.c index ddc0818..a7f3e46 100644 --- a/lib/msun/src/w_remainderf.c +++ b/lib/msun/src/w_remainderf.c @@ -8,16 +8,16 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: w_remainderf.c,v 1.1 1994/08/10 20:35:35 jtc Exp $"; +static char rcsid[] = "$Id: w_remainderf.c,v 1.1.1.1 1994/08/19 09:40:00 jkh Exp $"; #endif -/* +/* * wrapper remainderf(x,p) */ @@ -37,7 +37,7 @@ static char rcsid[] = "$Id: w_remainderf.c,v 1.1 1994/08/10 20:35:35 jtc Exp $"; float z; z = __ieee754_remainderf(x,y); if(_LIB_VERSION == _IEEE_ || isnanf(y)) return z; - if(y==(float)0.0) + if(y==(float)0.0) /* remainder(x,0) */ return (float)__kernel_standard((double)x,(double)y,128); else diff --git a/lib/msun/src/w_scalb.c b/lib/msun/src/w_scalb.c index b7a7ec6..9e3ce15 100644 --- a/lib/msun/src/w_scalb.c +++ b/lib/msun/src/w_scalb.c @@ -5,18 +5,18 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: w_scalb.c,v 1.4 1994/08/10 20:35:37 jtc Exp $"; +static char rcsid[] = "$Id: w_scalb.c,v 1.1.1.1 1994/08/19 09:39:54 jkh Exp $"; #endif /* * wrapper scalb(double x, double fn) is provide for - * passing various standard test suite. One + * passing various standard test suite. One * should use scalbn() instead. */ @@ -51,10 +51,10 @@ static char rcsid[] = "$Id: w_scalb.c,v 1.4 1994/08/10 20:35:37 jtc Exp $"; } if(z==0.0&&z!=x) { return __kernel_standard(x,(double)fn,33); /* scalb underflow */ - } + } #ifndef _SCALB_INT if(!finite(fn)) errno = ERANGE; #endif return z; -#endif +#endif } diff --git a/lib/msun/src/w_scalbf.c b/lib/msun/src/w_scalbf.c index 9e47c70..469525c 100644 --- a/lib/msun/src/w_scalbf.c +++ b/lib/msun/src/w_scalbf.c @@ -8,18 +8,18 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: w_scalbf.c,v 1.1 1994/08/10 20:35:40 jtc Exp $"; +static char rcsid[] = "$Id: w_scalbf.c,v 1.1.1.1 1994/08/19 09:40:00 jkh Exp $"; #endif /* * wrapper scalbf(float x, float fn) is provide for - * passing various standard test suite. One + * passing various standard test suite. One * should use scalbn() instead. */ @@ -56,10 +56,10 @@ static char rcsid[] = "$Id: w_scalbf.c,v 1.1 1994/08/10 20:35:40 jtc Exp $"; if(z==(float)0.0&&z!=x) { /* scalbf underflow */ return (float)__kernel_standard((double)x,(double)fn,133); - } + } #ifndef _SCALB_INT if(!finitef(fn)) errno = ERANGE; #endif return z; -#endif +#endif } diff --git a/lib/msun/src/w_sinh.c b/lib/msun/src/w_sinh.c index 241e335..8498dbe 100644 --- a/lib/msun/src/w_sinh.c +++ b/lib/msun/src/w_sinh.c @@ -5,16 +5,16 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: w_sinh.c,v 1.4 1994/08/10 20:35:42 jtc Exp $"; +static char rcsid[] = "$Id: w_sinh.c,v 1.1.1.1 1994/08/19 09:39:54 jkh Exp $"; #endif -/* +/* * wrapper sinh(x) */ @@ -31,7 +31,7 @@ static char rcsid[] = "$Id: w_sinh.c,v 1.4 1994/08/10 20:35:42 jtc Exp $"; #ifdef _IEEE_LIBM return __ieee754_sinh(x); #else - double z; + double z; z = __ieee754_sinh(x); if(_LIB_VERSION == _IEEE_) return z; if(!finite(z)&&finite(x)) { diff --git a/lib/msun/src/w_sinhf.c b/lib/msun/src/w_sinhf.c index dca5bfa..5f1467d 100644 --- a/lib/msun/src/w_sinhf.c +++ b/lib/msun/src/w_sinhf.c @@ -8,16 +8,16 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: w_sinhf.c,v 1.1 1994/08/10 20:35:45 jtc Exp $"; +static char rcsid[] = "$Id: w_sinhf.c,v 1.1.1.1 1994/08/19 09:40:00 jkh Exp $"; #endif -/* +/* * wrapper sinhf(x) */ @@ -34,7 +34,7 @@ static char rcsid[] = "$Id: w_sinhf.c,v 1.1 1994/08/10 20:35:45 jtc Exp $"; #ifdef _IEEE_LIBM return __ieee754_sinhf(x); #else - float z; + float z; z = __ieee754_sinhf(x); if(_LIB_VERSION == _IEEE_) return z; if(!finitef(z)&&finitef(x)) { diff --git a/lib/msun/src/w_sqrt.c b/lib/msun/src/w_sqrt.c index 696f45a..bdf97d2 100644 --- a/lib/msun/src/w_sqrt.c +++ b/lib/msun/src/w_sqrt.c @@ -5,16 +5,16 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: w_sqrt.c,v 1.4 1994/08/10 20:35:48 jtc Exp $"; +static char rcsid[] = "$Id: w_sqrt.c,v 1.1.1.1 1994/08/19 09:39:54 jkh Exp $"; #endif -/* +/* * wrapper sqrt(x) */ diff --git a/lib/msun/src/w_sqrtf.c b/lib/msun/src/w_sqrtf.c index c248f0c9..55631bf 100644 --- a/lib/msun/src/w_sqrtf.c +++ b/lib/msun/src/w_sqrtf.c @@ -8,16 +8,16 @@ * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef lint -static char rcsid[] = "$Id: w_sqrtf.c,v 1.1 1994/08/10 20:35:53 jtc Exp $"; +static char rcsid[] = "$Id: w_sqrtf.c,v 1.1.1.1 1994/08/19 09:40:00 jkh Exp $"; #endif -/* +/* * wrapper sqrtf(x) */ -- cgit v1.1