/* origin: FreeBSD /usr/src/lib/msun/src/e_log10f.c */ /* * ==================================================== * 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. * ==================================================== */ /* * See comments in log10.c. */ #include "libm.h" #include "__log1pf.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 */ float log10f(float x) { float f,hfsq,hi,lo,r,y; int32_t i,k,hx; GET_FLOAT_WORD(hx, x); k = 0; if (hx < 0x00800000) { /* x < 2**-126 */ if ((hx&0x7fffffff) == 0) return -two25/0.0f; /* log(+-0)=-inf */ if (hx < 0) return (x-x)/0.0f; /* log(-#) = NaN */ /* subnormal number, scale up x */ k -= 25; x *= two25; GET_FLOAT_WORD(hx, x); } if (hx >= 0x7f800000) return x+x; if (hx == 0x3f800000) return 0.0f; /* log(1) = +0 */ 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 = x - 1.0f; hfsq = 0.5f * f * f; r = __log1pf(f); // FIXME // /* See log2f.c and log2.c for details. */ // if (sizeof(float_t) > sizeof(float)) // return (r - hfsq + f) * ((float_t)ivln10lo + ivln10hi) + // y * ((float_t)log10_2lo + log10_2hi); hi = f - hfsq; GET_FLOAT_WORD(hx, hi); SET_FLOAT_WORD(hi, hx&0xfffff000); lo = (f - hi) - hfsq + r; return y*log10_2lo + (lo+hi)*ivln10lo + lo*ivln10hi + hi*ivln10hi + y*log10_2hi; }