newlib/libm/machine/amdgcn/v64df_atanh.c

   1 /*
   2  * Copyright 2023 Siemens
   3  *
   4  * The authors hereby grant permission to use, copy, modify, distribute,
   5  * and license this software and its documentation for any purpose, provided
   6  * that existing copyright notices are retained in all copies and that this
   7  * notice is included verbatim in any distributions.  No written agreement,
   8  * license, or royalty fee is required for any of the authorized uses.
   9  * Modifications to this software may be copyrighted by their authors
  10  * and need not follow the licensing terms described here, provided that
  11  * the new terms are clearly indicated on the first page of each file where
  12  * they apply.
  13  */
  14
  15 /*
  16  * ====================================================
  17  * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
  18  *
  19  * Developed at SunPro, a Sun Microsystems, Inc. business.
  20  * Permission to use, copy, modify, and distribute this
  21  * software is freely granted, provided that this notice
  22  * is preserved.
  23  * ====================================================
  24  *
  25  */
  26
  27 /* Based on newlib/libm/mathfp/e_atanh.c in Newlib.  */
  28
  29 #include "amdgcnmach.h"
  30
  31 v64df v64df_log1p_aux (v64df, v64di);
  32
  33 DEF_VD_MATH_FUNC (v64df, atanh, v64df x)
  34 {
  35   static const double zero = 0.0;
  36   static const double one = 1.0, huge = 1e300;
  37
  38   FUNCTION_INIT (v64df);
  39
  40   v64df t;
  41   v64si hx, lx;
  42   EXTRACT_WORDS (hx, lx, x);
  43   v64si ix = hx & 0x7fffffff;
  44
  45   VECTOR_IF ((ix | ((lx | (-lx)) >> 31)) > 0x3ff00000, cond)    // |x|>1
  46     VECTOR_RETURN ((x - x)/(x - x), cond);
  47   VECTOR_ENDIF
  48
  49   VECTOR_IF (ix == 0x3ff00000, cond)
  50     VECTOR_RETURN (x / zero, cond);
  51   VECTOR_ENDIF
  52
  53   VECTOR_IF ((ix < 0x3e300000) & __builtin_convertvector((huge + x) > zero, v64si), cond)       // x<2**-28
  54     VECTOR_RETURN (x, cond);
  55   VECTOR_ENDIF
  56
  57   SET_HIGH_WORD (x, ix, NO_COND);
  58
  59   VECTOR_IF (ix < 0x3fe00000, cond)             // x < 0.5 */
  60     v64df t2 = x + x;
  61   VECTOR_COND_MOVE (t, 0.5 * v64df_log1p_aux (t2 + t2 * x / (one - x), __mask), cond);
  62   VECTOR_ELSE (cond)
  63     VECTOR_COND_MOVE (t, 0.5 * v64df_log1p_aux ((x + x) / (one - x), __mask), cond);
  64   VECTOR_ENDIF
  65
  66   VECTOR_IF (hx >= 0, cond)
  67     VECTOR_RETURN (t, cond);
  68   VECTOR_ELSE (cond)
  69     VECTOR_RETURN (-t, cond);
  70   VECTOR_ENDIF
  71
  72   FUNCTION_RETURN;
  73 }
  74
  75 DEF_VARIANTS (atanh, df, df)