math/s_csinhl.c

   1 /* Complex sine hyperbole function for long double.
   2    Copyright (C) 1997-2013 Free Software Foundation, Inc.
   3    This file is part of the GNU C Library.
   4    Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
   5
   6    The GNU C Library is free software; you can redistribute it and/or
   7    modify it under the terms of the GNU Lesser General Public
   8    License as published by the Free Software Foundation; either
   9    version 2.1 of the License, or (at your option) any later version.
  10
  11    The GNU C Library is distributed in the hope that it will be useful,
  12    but WITHOUT ANY WARRANTY; without even the implied warranty of
  13    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
  14    Lesser General Public License for more details.
  15
  16    You should have received a copy of the GNU Lesser General Public
  17    License along with the GNU C Library; if not, see
  18    <http://www.gnu.org/licenses/>.  */
  19
  20 #include <complex.h>
  21 #include <fenv.h>
  22 #include <math.h>
  23 #include <math_private.h>
  24 #include <float.h>
  25
  26 __complex__ long double
  27 __csinhl (__complex__ long double x)
  28 {
  29   __complex__ long double retval;
  30   int negate = signbit (__real__ x);
  31   int rcls = fpclassify (__real__ x);
  32   int icls = fpclassify (__imag__ x);
  33
  34   __real__ x = fabsl (__real__ x);
  35
  36   if (__builtin_expect (rcls >= FP_ZERO, 1))
  37     {
  38       /* Real part is finite.  */
  39       if (__builtin_expect (icls >= FP_ZERO, 1))
  40         {
  41           /* Imaginary part is finite.  */
  42           const int t = (int) ((LDBL_MAX_EXP - 1) * M_LN2l);
  43           long double sinix, cosix;
  44
  45           if (__builtin_expect (icls != FP_SUBNORMAL, 1))
  46             {
  47               __sincosl (__imag__ x, &sinix, &cosix);
  48             }
  49           else
  50             {
  51               sinix = __imag__ x;
  52               cosix = 1.0;
  53             }
  54
  55           if (fabsl (__real__ x) > t)
  56             {
  57               long double exp_t = __ieee754_expl (t);
  58               long double rx = fabsl (__real__ x);
  59               if (signbit (__real__ x))
  60                 cosix = -cosix;
  61               rx -= t;
  62               sinix *= exp_t / 2.0L;
  63               cosix *= exp_t / 2.0L;
  64               if (rx > t)
  65                 {
  66                   rx -= t;
  67                   sinix *= exp_t;
  68                   cosix *= exp_t;
  69                 }
  70               if (rx > t)
  71                 {
  72                   /* Overflow (original real part of x > 3t).  */
  73                   __real__ retval = LDBL_MAX * cosix;
  74                   __imag__ retval = LDBL_MAX * sinix;
  75                 }
  76               else
  77                 {
  78                   long double exp_val = __ieee754_expl (rx);
  79                   __real__ retval = exp_val * cosix;
  80                   __imag__ retval = exp_val * sinix;
  81                 }
  82             }
  83           else
  84             {
  85               __real__ retval = __ieee754_sinhl (__real__ x) * cosix;
  86               __imag__ retval = __ieee754_coshl (__real__ x) * sinix;
  87             }
  88
  89           if (negate)
  90             __real__ retval = -__real__ retval;
  91
  92           if (fabsl (__real__ retval) < LDBL_MIN)
  93             {
  94               volatile long double force_underflow
  95                 = __real__ retval * __real__ retval;
  96               (void) force_underflow;
  97             }
  98           if (fabsl (__imag__ retval) < LDBL_MIN)
  99             {
 100               volatile long double force_underflow
 101                 = __imag__ retval * __imag__ retval;
 102               (void) force_underflow;
 103             }
 104         }
 105       else
 106         {
 107           if (rcls == FP_ZERO)
 108             {
 109               /* Real part is 0.0.  */
 110               __real__ retval = __copysignl (0.0, negate ? -1.0 : 1.0);
 111               __imag__ retval = __nanl ("") + __nanl ("");
 112
 113               if (icls == FP_INFINITE)
 114                 feraiseexcept (FE_INVALID);
 115             }
 116           else
 117             {
 118               __real__ retval = __nanl ("");
 119               __imag__ retval = __nanl ("");
 120
 121               feraiseexcept (FE_INVALID);
 122             }
 123         }
 124     }
 125   else if (__builtin_expect (rcls == FP_INFINITE, 1))
 126     {
 127       /* Real part is infinite.  */
 128       if (__builtin_expect (icls > FP_ZERO, 1))
 129         {
 130           /* Imaginary part is finite.  */
 131           long double sinix, cosix;
 132
 133           if (__builtin_expect (icls != FP_SUBNORMAL, 1))
 134             {
 135               __sincosl (__imag__ x, &sinix, &cosix);
 136             }
 137           else
 138             {
 139               sinix = __imag__ x;
 140               cosix = 1.0;
 141             }
 142
 143           __real__ retval = __copysignl (HUGE_VALL, cosix);
 144           __imag__ retval = __copysignl (HUGE_VALL, sinix);
 145
 146           if (negate)
 147             __real__ retval = -__real__ retval;
 148         }
 149       else if (icls == FP_ZERO)
 150         {
 151           /* Imaginary part is 0.0.  */
 152           __real__ retval = negate ? -HUGE_VALL : HUGE_VALL;
 153           __imag__ retval = __imag__ x;
 154         }
 155       else
 156         {
 157           /* The addition raises the invalid exception.  */
 158           __real__ retval = HUGE_VALL;
 159           __imag__ retval = __nanl ("") + __nanl ("");
 160
 161 #ifdef FE_INVALID
 162           if (icls == FP_INFINITE)
 163             feraiseexcept (FE_INVALID);
 164 #endif
 165         }
 166     }
 167   else
 168     {
 169       __real__ retval = __nanl ("");
 170       __imag__ retval = __imag__ x == 0.0 ? __imag__ x : __nanl ("");
 171     }
 172
 173   return retval;
 174 }
 175 weak_alias (__csinhl, csinhl)