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/* s_cbrtf.c -- float version of s_cbrt.c.
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 * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
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 */
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/*
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 * ====================================================
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 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
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 *
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 * Developed at SunPro, a Sun Microsystems, Inc. business.
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 * Permission to use, copy, modify, and distribute this
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 * software is freely granted, provided that this notice
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 * is preserved.
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 * ====================================================
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 */
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#ifndef lint
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static char rcsid[] = "$\Id: s_cbrtf.c,v 1.2 1995/05/30 05:49:23 rgrimes Exp $";
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#endif
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#include "math.h"
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#include "math_private.h"
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/* cbrtf(x)
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 * Return cube root of x
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 */
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#ifdef __STDC__
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static const unsigned
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#else
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static unsigned
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#endif
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        B1 = 709958130, /* B1 = (84+2/3-0.03306235651)*2**23 */
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        B2 = 642849266; /* B2 = (76+2/3-0.03306235651)*2**23 */
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#ifdef __STDC__
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static const float
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#else
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static float
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#endif
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C =  5.4285717010e-01, /* 19/35     = 0x3f0af8b0 */
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D = -7.0530611277e-01, /* -864/1225 = 0xbf348ef1 */
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E =  1.4142856598e+00, /* 99/70     = 0x3fb50750 */
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F =  1.6071428061e+00, /* 45/28     = 0x3fcdb6db */
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G =  3.5714286566e-01; /* 5/14      = 0x3eb6db6e */
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#ifdef __STDC__
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        float cbrtf(float x)
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#else
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        float cbrtf(x)
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        float x;
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#endif
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{
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        float r,s,t;
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        int32_t hx;
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        u_int32_t sign;
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        u_int32_t high;
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        GET_FLOAT_WORD(hx,x);
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        sign=hx&0x80000000;             /* sign= sign(x) */
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        hx  ^=sign;
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        if(hx>=0x7f800000) return(x+x); /* cbrt(NaN,INF) is itself */
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        if(hx==0)
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            return(x);          /* cbrt(0) is itself */
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        SET_FLOAT_WORD(x,hx);   /* x <- |x| */
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    /* rough cbrt to 5 bits */
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        if(hx<0x00800000)               /* subnormal number */
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          {SET_FLOAT_WORD(t,0x4b800000); /* set t= 2**24 */
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           t*=x; GET_FLOAT_WORD(high,t); SET_FLOAT_WORD(t,high/3+B2);
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          }
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        else
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          SET_FLOAT_WORD(t,hx/3+B1);
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    /* new cbrt to 23 bits */
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        r=t*t/x;
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        s=C+r*t;
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        t*=G+F/(s+E+D/s);
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    /* retore the sign bit */
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        GET_FLOAT_WORD(high,t);
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        SET_FLOAT_WORD(t,high|sign);
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        return(t);
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}