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/* @(#)e_log10.c 1.3 95/01/18 */
/*
 * ====================================================
 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
 *
 * Developed at SunSoft, a Sun Microsystems, Inc. business.
 * Permission to use, copy, modify, and distribute this
 * software is freely granted, provided that this notice 
 * is preserved.
 * ====================================================
 */

#include <sys/cdefs.h>
__FBSDID("$FreeBSD: release/9.1.0/lib/msun/src/e_log2.c 216247 2010-12-07 02:19:15Z das $");

/*
 * Return the base 2 logarithm of x. See k_log.c for details on the algorithm.
 */

#include "math.h"
#include "math_private.h"
#include "k_log.h"

static const double
two54      =  1.80143985094819840000e+16, /* 0x43500000, 0x00000000 */
ivln2hi    =  1.44269504072144627571e+00, /* 0x3ff71547, 0x65200000 */
ivln2lo    =  1.67517131648865118353e-10; /* 0x3de705fc, 0x2eefa200 */

static const double zero   =  0.0;

double
__ieee754_log2(double x)
{
	double f,hi,lo;
	int32_t i,k,hx;
	u_int32_t lx;

	EXTRACT_WORDS(hx,lx,x);

        k=0;
        if (hx < 0x00100000) {                  /* x < 2**-1022  */
            if (((hx&0x7fffffff)|lx)==0)
                return -two54/zero;             /* log(+-0)=-inf */
            if (hx<0) return (x-x)/zero;        /* log(-#) = NaN */
            k -= 54; x *= two54; /* subnormal number, scale up x */
	    GET_HIGH_WORD(hx,x);
        }
	if (hx >= 0x7ff00000) return x+x;
	k += (hx>>20)-1023;
	hx &= 0x000fffff;
	i = (hx+0x95f64)&0x100000;
	SET_HIGH_WORD(x,hx|(i^0x3ff00000));	/* normalize x or x/2 */
	k += (i>>20);
	f = __kernel_log(x);
	hi = x = x - 1;
	SET_LOW_WORD(hi,0);
	lo = x - hi;
	return (x+f)*ivln2lo + (lo+f)*ivln2hi + hi*ivln2hi + k;
}