view packages/language/c/libm/current/src/float/portable-api/sf_cbrt.c @ 3260:77f9d3253c3e

Add: Complex number header and library (single and double precision floating point), port from Newlib. Add: Single precision floating point library, port from Newlib. [ Bugzilla 1001539 ]
author vae
date Sun, 25 Aug 2013 14:38:57 +0000
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//===========================================================================
//
//      sf_cbrt.c
//
//      Part of the standard mathematical function library
//
//===========================================================================
// ####ECOSGPLCOPYRIGHTBEGIN####
// -------------------------------------------
// This file is part of eCos, the Embedded Configurable Operating System.
// Copyright (C) 2012 Free Software Foundation, Inc.
//
// eCos is free software; you can redistribute it and/or modify it under
// the terms of the GNU General Public License as published by the Free
// Software Foundation; either version 2 or (at your option) any later
// version.
//
// eCos is distributed in the hope that it will be useful, but WITHOUT
// ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
// FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
// for more details.
//
// You should have received a copy of the GNU General Public License
// along with eCos; if not, write to the Free Software Foundation, Inc.,
// 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
//
// As a special exception, if other files instantiate templates or use
// macros 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 by itself cause the resulting work to be covered by
// the GNU General Public License. However the source code for this file
// must still be made available in accordance with section (3) of the GNU
// General Public License v2.
//
// This exception does not invalidate any other reasons why a work based
// on this file might be covered by the GNU General Public License.
// -------------------------------------------
// ####ECOSGPLCOPYRIGHTEND####
//===========================================================================
//#####DESCRIPTIONBEGIN####
//
// Author(s):
// Contributors: visar, ilijak
// Date:        2012-03-08
// 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


/* sf_cbrt.c -- float version of s_cbrt.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 "mathincl/fdlibm.h"

/* cbrtf(x)
 * Return cube root of x
 */
#ifdef __STDC__
static const __uint32_t
#else
static __uint32_t
#endif
	B1 = 709958130, /* B1 = (84+2/3-0.03306235651)*2**23 */
	B2 = 642849266; /* B2 = (76+2/3-0.03306235651)*2**23 */

#ifdef __STDC__
static const float
#else
static float
#endif
C =  5.4285717010e-01, /* 19/35     = 0x3f0af8b0 */
D = -7.0530611277e-01, /* -864/1225 = 0xbf348ef1 */
E =  1.4142856598e+00, /* 99/70     = 0x3fb50750 */
F =  1.6071428061e+00, /* 45/28     = 0x3fcdb6db */
G =  3.5714286566e-01; /* 5/14      = 0x3eb6db6e */

#ifdef __STDC__
	float cbrtf(float x)
#else
	float cbrtf(x)
	float x;
#endif
{
	__int32_t	hx;
	float r,s,t;
	__uint32_t sign;
	__uint32_t high;

	hx = CYG_LIBM_WORD(x);
	sign=hx&0x80000000;		/* sign= sign(x) */
	hx  ^=sign;
	if(!FLT_UWORD_IS_FINITE(hx))
	    return(x+x);		/* cbrt(NaN,INF) is itself */
	if(FLT_UWORD_IS_ZERO(hx))
	    return(x);			/* cbrt(0) is itself */

	SET_FLOAT_WORD(x,hx);	/* x <- |x| */
    /* rough cbrt to 5 bits */
	if(FLT_UWORD_IS_SUBNORMAL(hx))		/* subnormal number */
	  {SET_FLOAT_WORD(t,0x4b800000); /* set t= 2**24 */
	   t*=x; high = CYG_LIBM_WORD(t); SET_FLOAT_WORD(t,high/3+B2);
	  }
	else
	  SET_FLOAT_WORD(t,hx/3+B1);


    /* new cbrt to 23 bits */
	r=t*t/x;
	s=C+r*t;
	t*=G+F/(s+E+D/s);

    /* retore the sign bit */
	high = CYG_LIBM_WORD(t);
	SET_FLOAT_WORD(t,high|sign);
	return(t);
}

#endif // ifdef CYGPKG_LIBM

// EOF sf_cbrt.c