/* Return value of complex exponential function for long double complex value. Copyright (C) 1997-2016 Free Software Foundation, Inc. This file is part of the GNU C Library. Contributed by Ulrich Drepper , 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 . */ #include #include #include #include #include __complex__ long double __cexpl (__complex__ long double x) { __complex__ long double retval; int rcls = fpclassify (__real__ x); int icls = fpclassify (__imag__ x); if (__glibc_likely (rcls >= FP_ZERO)) { /* Real part is finite. */ if (__glibc_likely (icls >= FP_ZERO)) { /* Imaginary part is finite. */ const int t = (int) ((LDBL_MAX_EXP - 1) * M_LN2l); long double sinix, cosix; if (__glibc_likely (fabsl (__imag__ x) > LDBL_MIN)) { __sincosl (__imag__ x, &sinix, &cosix); } else { sinix = __imag__ x; cosix = 1.0; } if (__real__ x > t) { long double exp_t = __ieee754_expl (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 = LDBL_MAX * cosix; __imag__ retval = LDBL_MAX * sinix; } else { long double exp_val = __ieee754_expl (__real__ x); __real__ retval = exp_val * cosix; __imag__ retval = exp_val * sinix; } math_check_force_underflow_complex (retval); } else { /* If the imaginary part is +-inf or NaN and the real part is not +-inf the result is NaN + iNaN. */ __real__ retval = __nanl (""); __imag__ retval = __nanl (""); feraiseexcept (FE_INVALID); } } else if (__glibc_likely (rcls == FP_INFINITE)) { /* Real part is infinite. */ if (__glibc_likely (icls >= FP_ZERO)) { /* Imaginary part is finite. */ long double value = signbit (__real__ x) ? 0.0 : HUGE_VALL; if (icls == FP_ZERO) { /* Imaginary part is 0.0. */ __real__ retval = value; __imag__ retval = __imag__ x; } else { long double sinix, cosix; if (__glibc_likely (fabsl (__imag__ x) > LDBL_MIN)) { __sincosl (__imag__ x, &sinix, &cosix); } else { sinix = __imag__ x; cosix = 1.0; } __real__ retval = __copysignl (value, cosix); __imag__ retval = __copysignl (value, sinix); } } else if (signbit (__real__ x) == 0) { __real__ retval = HUGE_VALL; __imag__ retval = __nanl (""); if (icls == FP_INFINITE) feraiseexcept (FE_INVALID); } else { __real__ retval = 0.0; __imag__ retval = __copysignl (0.0, __imag__ x); } } else { /* If the real part is NaN the result is NaN + iNaN unless the imaginary part is zero. */ __real__ retval = __nanl (""); if (icls == FP_ZERO) __imag__ retval = __imag__ x; else { __imag__ retval = __nanl (""); if (rcls != FP_NAN || icls != FP_NAN) feraiseexcept (FE_INVALID); } } return retval; } weak_alias (__cexpl, cexpl)