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//===========================================================================

//

//      s_cbrt.c

//

//      Part of the standard mathematical function library

//

//===========================================================================

//####ECOSGPLCOPYRIGHTBEGIN####

// -------------------------------------------

// This file is part of eCos, the Embedded Configurable Operating System.

// Copyright (C) 1998, 1999, 2000, 2001, 2002 Red Hat, Inc.

//

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// or inline functions from this file, or you compile this file and link it

// with other works to produce a work based on this file, this file does not

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//####ECOSGPLCOPYRIGHTEND####

//===========================================================================

//#####DESCRIPTIONBEGIN####

//

// Author(s):   jlarmour

// Contributors:  jlarmour

// Date:        1998-02-13

// Purpose:     

// Description: 

// Usage:       

//

//####DESCRIPTIONEND####

//

//===========================================================================

// CONFIGURATION

#include <pkgconf/libm.h>   // Configuration header

// Include the Math library?

#ifdef CYGPKG_LIBM     

// Derived from code with the following copyright

/* @(#)s_cbrt.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 "mathincl/fdlibm.h"

/* cbrt(x)

 * Return cube root of x

 */

static const unsigned

        B1 = 715094163, /* B1 = (682-0.03306235651)*2**20 */

        B2 = 696219795; /* B2 = (664-0.03306235651)*2**20 */

static const double

C =  5.42857142857142815906e-01, /* 19/35     = 0x3FE15F15, 0xF15F15F1 */

D = -7.05306122448979611050e-01, /* -864/1225 = 0xBFE691DE, 0x2532C834 */

E =  1.41428571428571436819e+00, /* 99/70     = 0x3FF6A0EA, 0x0EA0EA0F */

F =  1.60714285714285720630e+00, /* 45/28     = 0x3FF9B6DB, 0x6DB6DB6E */

G =  3.57142857142857150787e-01; /* 5/14      = 0x3FD6DB6D, 0xB6DB6DB7 */

        double cbrt(double x)

{

        int     hx;

        double r,s,t=0.0,w;

        unsigned sign;

        hx = CYG_LIBM_HI(x);            /* high word of x */

        sign=hx&0x80000000;             /* sign= sign(x) */

        hx  ^=sign;

        if(hx>=0x7ff00000) return(x+x); /* cbrt(NaN,INF) is itself */

        if((hx|CYG_LIBM_LO(x))==0)

            return(x);          /* cbrt(0) is itself */

        CYG_LIBM_HI(x) = hx;    /* x <- |x| */

    /* rough cbrt to 5 bits */

        if(hx<0x00100000)               /* subnormal number */

          {CYG_LIBM_HI(t)=0x43500000;           /* set t= 2**54 */

           t*=x; CYG_LIBM_HI(t)=CYG_LIBM_HI(t)/3+B2;

          }

        else

          CYG_LIBM_HI(t)=hx/3+B1;

    /* new cbrt to 23 bits, may be implemented in single precision */

        r=t*t/x;

        s=C+r*t;

        t*=G+F/(s+E+D/s);

    /* chopped to 20 bits and make it larger than cbrt(x) */

        CYG_LIBM_LO(t)=0; CYG_LIBM_HI(t)+=0x00000001;

    /* one step newton iteration to 53 bits with error less than 0.667 ulps */

        s=t*t;          /* t*t is exact */

        r=x/s;

        w=t+t;

        r=(r-t)/(w+r);  /* r-s is exact */

        t=t+t*r;

    /* retore the sign bit */

        CYG_LIBM_HI(t) |= sign;

        return(t);

}

#endif // ifdef CYGPKG_LIBM     

// EOF s_cbrt.c