/* * ==================================================== * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #include __FBSDID("$FreeBSD$"); /* * Return the base 10 logarithm of x. See k_log.c for details on the algorithm. */ #include "math.h" #include "math_private.h" #include "k_logf.h" static const float two25 = 3.3554432000e+07, /* 0x4c000000 */ ivln10hi = 4.3432617188e-01, /* 0x3ede6000 */ ivln10lo = -3.1689971365e-05, /* 0xb804ead9 */ log10_2hi = 3.0102920532e-01, /* 0x3e9a2080 */ log10_2lo = 7.9034151668e-07; /* 0x355427db */ static const float zero = 0.0; float __ieee754_log10f(float x) { float f,hi,lo,y,z; int32_t i,k,hx; GET_FLOAT_WORD(hx,x); k=0; if (hx < 0x00800000) { /* x < 2**-126 */ if ((hx&0x7fffffff)==0) return -two25/zero; /* log(+-0)=-inf */ if (hx<0) return (x-x)/zero; /* log(-#) = NaN */ k -= 25; x *= two25; /* subnormal number, scale up x */ GET_FLOAT_WORD(hx,x); } if (hx >= 0x7f800000) return x+x; k += (hx>>23)-127; hx &= 0x007fffff; i = (hx+(0x4afb0d))&0x800000; SET_FLOAT_WORD(x,hx|(i^0x3f800000)); /* normalize x or x/2 */ k += (i>>23); y = (float)k; f = __kernel_logf(x); x = x - (float)1.0; GET_FLOAT_WORD(hx,x); SET_FLOAT_WORD(hi,hx&0xfffff000); lo = x - hi; z = y*log10_2lo + (x+f)*ivln10lo + (lo+f)*ivln10hi + hi*ivln10hi; return z+y*log10_2hi; }