| /* Return value of complex exponential function for complex __float128 value. |
| Copyright (C) 1997-2012 Free Software Foundation, Inc. |
| This file is part of the GNU C Library. |
| Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997. |
| |
| The GNU C Library is free software; you can redistribute it and/or |
| modify it under the terms of the GNU Lesser General Public |
| License as published by the Free Software Foundation; either |
| version 2.1 of the License, or (at your option) any later version. |
| |
| The GNU C Library is distributed in the hope that it will be useful, |
| but WITHOUT ANY WARRANTY; without even the implied warranty of |
| MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
| Lesser General Public License for more details. |
| |
| You should have received a copy of the GNU Lesser General Public |
| License along with the GNU C Library; if not, see |
| <http://www.gnu.org/licenses/>. */ |
| |
| #include "quadmath-imp.h" |
| |
| #ifdef HAVE_FENV_H |
| # include <fenv.h> |
| #endif |
| |
| |
| __complex128 |
| cexpq (__complex128 x) |
| { |
| __complex128 retval; |
| int rcls = fpclassifyq (__real__ x); |
| int icls = fpclassifyq (__imag__ x); |
| |
| if (__builtin_expect (rcls >= QUADFP_ZERO, 1)) |
| { |
| /* Real part is finite. */ |
| if (__builtin_expect (icls >= QUADFP_ZERO, 1)) |
| { |
| /* Imaginary part is finite. */ |
| const int t = (int) ((FLT128_MAX_EXP - 1) * M_LN2q); |
| __float128 sinix, cosix; |
| |
| if (__builtin_expect (icls != QUADFP_SUBNORMAL, 1)) |
| { |
| sincosq (__imag__ x, &sinix, &cosix); |
| } |
| else |
| { |
| sinix = __imag__ x; |
| cosix = 1.0Q; |
| } |
| |
| if (__real__ x > t) |
| { |
| __float128 exp_t = expq (t); |
| __real__ x -= t; |
| sinix *= exp_t; |
| cosix *= exp_t; |
| if (__real__ x > t) |
| { |
| __real__ x -= t; |
| sinix *= exp_t; |
| cosix *= exp_t; |
| } |
| } |
| if (__real__ x > t) |
| { |
| /* Overflow (original real part of x > 3t). */ |
| __real__ retval = FLT128_MAX * cosix; |
| __imag__ retval = FLT128_MAX * sinix; |
| } |
| else |
| { |
| __float128 exp_val = expq (__real__ x); |
| __real__ retval = exp_val * cosix; |
| __imag__ retval = exp_val * sinix; |
| } |
| } |
| else |
| { |
| /* If the imaginary part is +-inf or NaN and the real part |
| is not +-inf the result is NaN + iNaN. */ |
| __real__ retval = nanq (""); |
| __imag__ retval = nanq (""); |
| |
| #ifdef HAVE_FENV_H |
| feraiseexcept (FE_INVALID); |
| #endif |
| } |
| } |
| else if (__builtin_expect (rcls == QUADFP_INFINITE, 1)) |
| { |
| /* Real part is infinite. */ |
| if (__builtin_expect (icls >= QUADFP_ZERO, 1)) |
| { |
| /* Imaginary part is finite. */ |
| __float128 value = signbitq (__real__ x) ? 0.0Q : HUGE_VALQ; |
| |
| if (icls == QUADFP_ZERO) |
| { |
| /* Imaginary part is 0.0. */ |
| __real__ retval = value; |
| __imag__ retval = __imag__ x; |
| } |
| else |
| { |
| __float128 sinix, cosix; |
| |
| if (__builtin_expect (icls != QUADFP_SUBNORMAL, 1)) |
| { |
| sincosq (__imag__ x, &sinix, &cosix); |
| } |
| else |
| { |
| sinix = __imag__ x; |
| cosix = 1.0Q; |
| } |
| |
| __real__ retval = copysignq (value, cosix); |
| __imag__ retval = copysignq (value, sinix); |
| } |
| } |
| else if (signbitq (__real__ x) == 0) |
| { |
| __real__ retval = HUGE_VALQ; |
| __imag__ retval = nanq (""); |
| |
| #ifdef HAVE_FENV_H |
| if (icls == QUADFP_INFINITE) |
| feraiseexcept (FE_INVALID); |
| #endif |
| } |
| else |
| { |
| __real__ retval = 0.0Q; |
| __imag__ retval = copysignq (0.0Q, __imag__ x); |
| } |
| } |
| else |
| { |
| /* If the real part is NaN the result is NaN + iNaN. */ |
| __real__ retval = nanq (""); |
| __imag__ retval = nanq (""); |
| |
| #ifdef HAVE_FENV_H |
| if (rcls != QUADFP_NAN || icls != QUADFP_NAN) |
| feraiseexcept (FE_INVALID); |
| #endif |
| } |
| |
| return retval; |
| } |