e_log10f.c

Go to the documentation of this file.

/* e_log10f.c -- float version of e_log10.c.
 * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
 */

/*
 * ====================================================
 * 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 "math.h"
#include "math_private.h"

static const float
two25      =  3.3554432000e+07, /* 0x4c000000 */
ivln10     =  4.3429449201e-01, /* 0x3ede5bd9 */
log10_2hi  =  3.0102920532e-01, /* 0x3e9a2080 */
log10_2lo  =  7.9034151668e-07; /* 0x355427db */

static const float zero   =  0.0;

float
log10f(float x)
{
    float 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;
    i  = ((u_int32_t)k&0x80000000)>>31;
        hx = (hx&0x007fffff)|((0x7f-i)<<23);
        y  = (float)(k+i);
    SET_FLOAT_WORD(x,hx);
    z  = y*log10_2lo + ivln10*logf(x);
    return  z+y*log10_2hi;
}