1 /*
   2  * CDDL HEADER START
   3  *
   4  * The contents of this file are subject to the terms of the
   5  * Common Development and Distribution License (the "License").
   6  * You may not use this file except in compliance with the License.
   7  *
   8  * You can obtain a copy of the license at usr/src/OPENSOLARIS.LICENSE
   9  * or http://www.opensolaris.org/os/licensing.
  10  * See the License for the specific language governing permissions
  11  * and limitations under the License.
  12  *
  13  * When distributing Covered Code, include this CDDL HEADER in each
  14  * file and include the License file at usr/src/OPENSOLARIS.LICENSE.
  15  * If applicable, add the following below this CDDL HEADER, with the
  16  * fields enclosed by brackets "[]" replaced with your own identifying
  17  * information: Portions Copyright [yyyy] [name of copyright owner]
  18  *
  19  * CDDL HEADER END
  20  */
  21 
  22 /*
  23  * Copyright 2011 Nexenta Systems, Inc.  All rights reserved.
  24  */
  25 
  26 /*
  27  * Copyright 2006 Sun Microsystems, Inc.  All rights reserved.
  28  * Use is subject to license terms.
  29  */
  30 
  31 #pragma weak __cbrtl = cbrtl
  32 
  33 #include "libm.h"
  34 #include "longdouble.h"
  35 
  36 #define n0      0
  37 
  38 long double
  39 cbrtl(long double x)
  40 {
  41         long double s, t, r, w, y;
  42         double dx, dy;
  43         int *py = (int *)&dy;
  44         int n, m, m3, sx;
  45 
  46         if (!finitel(x))
  47                 return (x + x);
  48 
  49         if (iszerol(x))
  50                 return (x);
  51 
  52         sx = signbitl(x);
  53         x = fabsl(x);
  54         n = ilogbl(x);
  55         m = n / 3;
  56         m3 = m + m + m;
  57         y = scalbnl(x, -m3);
  58         dx = (double)y;
  59         dy = cbrt(dx);
  60         py[1 - n0] += 2;
  61 
  62         if (py[1 - n0] == 0)
  63                 py[n0] += 1;
  64 
  65         /* one step newton iteration to 113 bits with error < 0.667ulps */
  66         t = (long double)dy;
  67         t = scalbnl(t, m);
  68         s = t * t;
  69         r = x / s;
  70         w = t + t;
  71         r = (r - t) / (w + r);
  72         t += t * r;
  73 
  74         return (sx == 0 ? t : -t);
  75 }