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Add log2() and log2f().
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svn2git
2020-12-20 02:59:44 +00:00
svn path=/head/; revision=216211
@ -45,7 +45,8 @@ COMMON_SRCS= b_exp.c b_log.c b_tgamma.c \
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e_expf.c e_fmod.c e_fmodf.c e_gamma.c e_gamma_r.c e_gammaf.c \
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e_gammaf_r.c e_hypot.c e_hypotf.c e_j0.c e_j0f.c e_j1.c e_j1f.c \
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e_jn.c e_jnf.c e_lgamma.c e_lgamma_r.c e_lgammaf.c e_lgammaf_r.c \
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e_log.c e_log10.c e_log10f.c e_logf.c e_pow.c e_powf.c e_rem_pio2.c \
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e_log.c e_log10.c e_log10f.c e_log2.c e_log2f.c e_logf.c \
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e_pow.c e_powf.c e_rem_pio2.c \
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e_rem_pio2f.c e_remainder.c e_remainderf.c e_scalb.c e_scalbf.c \
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e_sinh.c e_sinhf.c e_sqrt.c e_sqrtf.c fenv.c \
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k_cos.c k_cosf.c k_rem_pio2.c k_sin.c k_sinf.c \
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@ -175,7 +176,7 @@ MLINKS+=j0.3 j1.3 j0.3 jn.3 j0.3 y0.3 j0.3 y1.3 j0.3 y1f.3 j0.3 yn.3
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MLINKS+=j0.3 j0f.3 j0.3 j1f.3 j0.3 jnf.3 j0.3 y0f.3 j0.3 ynf.3
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MLINKS+=lgamma.3 gamma.3 lgamma.3 gammaf.3 lgamma.3 lgammaf.3 \
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lgamma.3 tgamma.3 lgamma.3 tgammaf.3
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MLINKS+=log.3 log10.3 log.3 log10f.3 log.3 log1p.3 log.3 log1pf.3 log.3 logf.3
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MLINKS+=log.3 log10.3 log.3 log10f.3 log.3 log1p.3 log.3 log1pf.3 log.3 logf.3 log.3 log2.3 log.3 log2f.3
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MLINKS+=lrint.3 llrint.3 lrint.3 llrintf.3 lrint.3 llrintl.3 \
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lrint.3 lrintf.3 lrint.3 lrintl.3
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MLINKS+=lround.3 llround.3 lround.3 llroundf.3 lround.3 llroundl.3 \
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@ -222,4 +222,6 @@ FBSD_1.1 {
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/* First added in 9.0-CURRENT */
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FBSD_1.2 {
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__isnanf;
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log2;
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log2f;
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};
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@ -1,4 +1,4 @@
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.\" Copyright (c) 2008 David Schultz <das@FreeBSD.org>
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.\" Copyright (c) 2008-2010 David Schultz <das@FreeBSD.org>
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.\" All rights reserved.
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.\"
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.\" Redistribution and use in source and binary forms, with or without
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@ -24,7 +24,7 @@
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.\"
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.\" $FreeBSD$
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.\"
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.Dd January 17, 2008
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.Dd December 5, 2010
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.Dt LOG 3
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.Os
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.Sh NAME
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@ -33,6 +33,8 @@
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.Nm logl ,
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.Nm log10 ,
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.Nm log10f ,
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.Nm log2 ,
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.Nm log2f ,
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.Nm log1p ,
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.Nm log1pf
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.Nd logarithm functions
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@ -49,6 +51,10 @@
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.Ft float
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.Fn log10f "float x"
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.Ft double
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.Fn log2 "double x"
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.Ft float
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.Fn log2f "float x"
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.Ft double
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.Fn log1p "double x"
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.Ft float
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.Fn log1pf "float x"
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@ -65,6 +71,12 @@ The
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and
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.Fn log10f
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functions compute the logarithm base 10 of
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.Fa x ,
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while
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.Fn log2
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and
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.Fn log2f
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compute the logarithm base 2 of
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.Fa x .
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.Pp
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The
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@ -97,6 +109,8 @@ The
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.Fn logf ,
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.Fn log10 ,
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.Fn log10f ,
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.Fn log2 ,
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.Fn log2f ,
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.Fn log1p ,
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and
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.Fn log1pf
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@ -28,7 +28,7 @@
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.\" from: @(#)math.3 6.10 (Berkeley) 5/6/91
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.\" $FreeBSD$
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.\"
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.Dd December 16, 2007
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.Dd December 5, 2010
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.Dt MATH 3
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.Os
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.Sh NAME
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@ -182,7 +182,7 @@ lgamma log gamma function
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log natural logarithm
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log10 logarithm to base 10
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log1p log(1+x)
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.\" log2 base 2 logarithm
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log2 base 2 logarithm
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pow exponential x**y
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sin trigonometric function
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sinh hyperbolic function
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@ -194,7 +194,7 @@ y1 Bessel function of the second kind of the order 1
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yn Bessel function of the second kind of the order n
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.El
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.Pp
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Unlike the algebraic functions listed earlier, the routines
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The routines
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in this section may not produce a result that is correctly rounded,
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so reproducible results cannot be guaranteed across platforms.
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For most of these functions, however, incorrect rounding occurs
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@ -221,18 +221,20 @@ and
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values, were written for or imported into subsequent versions of FreeBSD.
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.Sh BUGS
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The
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.Fn log2
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function is missing, and many functions are not available in their
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.Fn cbrt
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function and many of the transcendental functions
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are not available in their
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.Vt "long double"
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variants.
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.Pp
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Many of the routines to compute transcendental functions produce
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inaccurate results in other than the default rounding mode.
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.Pp
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On some architectures, trigonometric argument reduction is not
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performed accurately, resulting in errors greater than 1
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On the i386 platform, trigonometric argument reduction is not
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performed accurately for very large arguments, resulting in errors
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greater than 1
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.Em ulp
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for large arguments to
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for such arguments to
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.Fn cos ,
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.Fn sin ,
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and
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60
lib/msun/src/e_log2.c
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60
lib/msun/src/e_log2.c
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@ -0,0 +1,60 @@
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/* @(#)e_log10.c 1.3 95/01/18 */
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/*
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* ====================================================
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* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
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*
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* Developed at SunSoft, a Sun Microsystems, Inc. business.
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* Permission to use, copy, modify, and distribute this
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* software is freely granted, provided that this notice
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* is preserved.
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* ====================================================
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*/
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#include <sys/cdefs.h>
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__FBSDID("$FreeBSD$");
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/* log2(x)
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* Return the base 2 logarithm of x.
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*/
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#include "math.h"
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#include "math_private.h"
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#include "k_log.h"
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static const double
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two54 = 1.80143985094819840000e+16, /* 0x43500000, 0x00000000 */
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ivln2hi = 0x1.71547652000p+0,
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ivln2lo = 0x1.705fc2eefa2p-33;
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static const double zero = 0.0;
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double
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__ieee754_log2(double x)
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{
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double f,hi,lo;
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int32_t i,k,hx;
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u_int32_t lx;
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EXTRACT_WORDS(hx,lx,x);
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k=0;
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if (hx < 0x00100000) { /* x < 2**-1022 */
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if (((hx&0x7fffffff)|lx)==0)
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return -two54/zero; /* log(+-0)=-inf */
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if (hx<0) return (x-x)/zero; /* log(-#) = NaN */
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k -= 54; x *= two54; /* subnormal number, scale up x */
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GET_HIGH_WORD(hx,x);
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}
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if (hx >= 0x7ff00000) return x+x;
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k += (hx>>20)-1023;
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hx &= 0x000fffff;
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i = (hx+0x95f64)&0x100000;
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SET_HIGH_WORD(x,hx|(i^0x3ff00000)); /* normalize x or x/2 */
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k += (i>>20);
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f = __kernel_log(x);
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hi = x = x - 1;
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SET_LOW_WORD(hi,0);
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lo = x - hi;
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return (x+f)*ivln2lo + (lo+f)*ivln2hi + hi*ivln2hi + k;
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}
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lib/msun/src/e_log2f.c
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54
lib/msun/src/e_log2f.c
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@ -0,0 +1,54 @@
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/*
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* ====================================================
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* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
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*
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* Developed at SunPro, a Sun Microsystems, Inc. business.
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* Permission to use, copy, modify, and distribute this
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* software is freely granted, provided that this notice
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* is preserved.
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* ====================================================
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*/
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#include <sys/cdefs.h>
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__FBSDID("$FreeBSD$");
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#include "math.h"
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#include "math_private.h"
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#include "k_logf.h"
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static const float
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two25 = 3.3554432000e+07, /* 0x4c000000 */
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ivln2hi = 0x1.716p+0f,
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ivln2lo = -0x1.7135a8fa03d11p-13;
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static const float zero = 0.0;
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float
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__ieee754_log2f(float x)
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{
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float f,hi,lo;
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int32_t i,k,hx;
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GET_FLOAT_WORD(hx,x);
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k=0;
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if (hx < 0x00800000) { /* x < 2**-126 */
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if ((hx&0x7fffffff)==0)
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return -two25/zero; /* log(+-0)=-inf */
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if (hx<0) return (x-x)/zero; /* log(-#) = NaN */
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k -= 25; x *= two25; /* subnormal number, scale up x */
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GET_FLOAT_WORD(hx,x);
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}
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if (hx >= 0x7f800000) return x+x;
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k += (hx>>23)-127;
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hx &= 0x007fffff;
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i = (hx+(0x4afb0d))&0x800000;
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SET_FLOAT_WORD(x,hx|(i^0x3f800000)); /* normalize x or x/2 */
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k += (i>>23);
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f = __kernel_logf(x);
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x = x - 1;
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GET_FLOAT_WORD(hx,x);
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SET_FLOAT_WORD(hi,hx&0xfffff000);
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lo = x - hi;
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return (x+f)*ivln2lo + (lo+f)*ivln2hi + hi*ivln2hi + k;
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}
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@ -236,6 +236,7 @@ double lgamma(double);
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long long llrint(double);
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long long llround(double);
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double log1p(double);
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double log2(double);
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double logb(double);
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long lrint(double);
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long lround(double);
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@ -319,6 +320,7 @@ int ilogbf(float) __pure2;
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float ldexpf(float, int);
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float log10f(float);
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float log1pf(float);
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float log2f(float);
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float logf(float);
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float modff(float, float *); /* fundamentally !__pure2 */
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#define __ieee754_acos acos
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#define __ieee754_acosh acosh
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#define __ieee754_log log
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#define __ieee754_log2 log2
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#define __ieee754_atanh atanh
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#define __ieee754_asin asin
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#define __ieee754_atan2 atan2
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@ -330,6 +331,7 @@ irint(double x)
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#define __ieee754_lgammaf_r lgammaf_r
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#define __ieee754_gammaf_r gammaf_r
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#define __ieee754_log10f log10f
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#define __ieee754_log2f log2f
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#define __ieee754_sinhf sinhf
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#define __ieee754_hypotf hypotf
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#define __ieee754_j0f j0f
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