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      1 /*
      2  * ====================================================
      3  * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
      4  *
      5  * Developed at SunPro, a Sun Microsystems, Inc. business.
      6  * Permission to use, copy, modify, and distribute this
      7  * software is freely granted, provided that this notice
      8  * is preserved.
      9  * ====================================================
     10  */
     11 
     12 #include <sys/cdefs.h>
     13 __FBSDID("$FreeBSD$");
     14 
     15 /*
     16  * Float version of k_log.h.  See the latter for most comments.
     17  */
     18 
     19 static const float
     20 /* |(log(1+s)-log(1-s))/s - Lg(s)| < 2**-34.24 (~[-4.95e-11, 4.97e-11]). */
     21 Lg1 =      0xaaaaaa.0p-24,	/* 0.66666662693 */
     22 Lg2 =      0xccce13.0p-25,	/* 0.40000972152 */
     23 Lg3 =      0x91e9ee.0p-25,	/* 0.28498786688 */
     24 Lg4 =      0xf89e26.0p-26;	/* 0.24279078841 */
     25 
     26 static inline float
     27 k_log1pf(float f)
     28 {
     29 	float hfsq,s,z,R,w,t1,t2;
     30 
     31  	s = f/((float)2.0+f);
     32 	z = s*s;
     33 	w = z*z;
     34 	t1= w*(Lg2+w*Lg4);
     35 	t2= z*(Lg1+w*Lg3);
     36 	R = t2+t1;
     37 	hfsq=(float)0.5*f*f;
     38 	return s*(hfsq+R);
     39 }
     40