--- old/usr/src/lib/libm/common/LD/coshl.c
          +++ new/usr/src/lib/libm/common/LD/coshl.c

   1    1  /*
   2    2   * CDDL HEADER START
   3    3   *
   4    4   * The contents of this file are subject to the terms of the
   5    5   * Common Development and Distribution License (the "License").
   6    6   * You may not use this file except in compliance with the License.
   7    7   *
   8    8   * You can obtain a copy of the license at usr/src/OPENSOLARIS.LICENSE
   9    9   * or http://www.opensolaris.org/os/licensing.
  10   10   * See the License for the specific language governing permissions
  11   11   * and limitations under the License.
  12   12   *
  13   13   * When distributing Covered Code, include this CDDL HEADER in each
  14   14   * file and include the License file at usr/src/OPENSOLARIS.LICENSE.
  15   15   * If applicable, add the following below this CDDL HEADER, with the
  16   16   * fields enclosed by brackets "[]" replaced with your own identifying
  17   17   * information: Portions Copyright [yyyy] [name of copyright owner]
  18   18   *
  19   19   * CDDL HEADER END
  20   20   */
  21   21  
  22   22  /*
  23   23   * Copyright 2011 Nexenta Systems, Inc.  All rights reserved.
  24   24   */

  25   25  /*
  26   26   * Copyright 2006 Sun Microsystems, Inc.  All rights reserved.
  27   27   * Use is subject to license terms.
  28   28   */
  29   29  
  30   30  #if defined(ELFOBJ)
  31   31  #pragma weak coshl = __coshl
  32   32  #endif
  33   33  
  34   34  #include "libm.h"
       35 +#include "longdouble.h"
  35   36  
  36   37  /*
  37   38   * COSH(X)
  38   39   * RETURN THE HYPERBOLIC COSINE OF X
  39   40   *
  40   41   * Method :
  41   42   *      1. Replace x by |x| (COSH(x) = COSH(-x)).
  42   43   *      2.
  43   44   *                                                      [ EXP(x) - 1 ]^2
  44   45   *          0        <= x <= 0.3465  :  COSH(x) := 1 + -------------------

  45   46   *                                                         2*EXP(x)
  46   47   *
  47   48   *                                                 EXP(x) +  1/EXP(x)
  48   49   *          0.3465   <= x <= thresh  :  COSH(x) := -------------------
  49   50   *                                                         2
  50   51   *          thresh   <= x <= lnovft  :  COSH(x) := EXP(x)/2
  51   52   *          lnovft   <= x <  INF     :  COSH(x) := SCALBN(EXP(x-MEP1*ln2),ME)
  52   53   *
  53   54   *
  54   55   * here
  55   56   *      0.3465          a number that is near one half of ln2.
  56   57   *      thresh          a number such that
  57   58   *                              EXP(thresh)+EXP(-thresh)=EXP(thresh)
  58   59   *      lnovft          logarithm of the overflow threshold
  59   60   *                      = MEP1*ln2 chopped to machine precision.
  60   61   *      ME              maximum exponent
  61   62   *      MEP1            maximum exponent plus 1
  62   63   *
  63   64   * Special cases:
  64   65   *      COSH(x) is |x| if x is +INF, -INF, or NaN.
  65   66   *      only COSH(0)=1 is exact for finite x.
  66   67   */
  67   68  
  68   69  static const long double C[] = {
  69   70          0.5L,
  70   71          1.0L,
  71   72          0.3465L,
  72   73          45.0L,
  73   74          1.135652340629414394879149e+04L,
  74   75          7.004447686242549087858985e-16L,
  75   76          2.710505431213761085018632e-20L,                /* 2^-65 */
  76   77  };
  77   78  
  78   79  #define half    C[0]
  79   80  #define one     C[1]
  80   81  #define thr1    C[2]
  81   82  #define thr2    C[3]
  82   83  #define lnovft  C[4]
  83   84  #define lnovlo  C[5]
  84   85  #define tinyl   C[6]
  85   86  
  86   87  long double
  87   88  coshl(long double x) {
  88   89          long double w, t;
  89   90  
  90   91          w = fabsl(x);
  91   92          if (!finitel(w))
  92   93                  return (w + w); /* x is INF or NaN */
  93   94          if (w < thr1) {
  94   95                  if (w < tinyl)
  95   96                          return (one + w);       /* inexact+directed rounding */
  96   97                  t = expm1l(w);
  97   98                  w = one + t;
  98   99                  w = one + (t * t) / (w + w);
  99  100                  return (w);
 100  101          }
 101  102          if (w < thr2) {
 102  103                  t = expl(w);
 103  104                  return (half * (t + one / t));
 104  105          }
 105  106          if (w <= lnovft)
 106  107                  return (half * expl(w));
 107  108          return (scalbnl(expl((w - lnovft) - lnovlo), 16383));
 108  109  }

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