| /* Complex sine hyperbole function for float. |
| Copyright (C) 1997-2014 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 <complex.h> |
| #include <fenv.h> |
| #include <math.h> |
| #include <math_private.h> |
| #include <float.h> |
| |
| __complex__ float |
| __csinhf (__complex__ float x) |
| { |
| __complex__ float retval; |
| int negate = signbit (__real__ x); |
| int rcls = fpclassify (__real__ x); |
| int icls = fpclassify (__imag__ x); |
| |
| __real__ x = fabsf (__real__ x); |
| |
| if (__builtin_expect (rcls >= FP_ZERO, 1)) |
| { |
| /* Real part is finite. */ |
| if (__builtin_expect (icls >= FP_ZERO, 1)) |
| { |
| /* Imaginary part is finite. */ |
| const int t = (int) ((FLT_MAX_EXP - 1) * M_LN2); |
| float sinix, cosix; |
| |
| if (__builtin_expect (icls != FP_SUBNORMAL, 1)) |
| { |
| __sincosf (__imag__ x, &sinix, &cosix); |
| } |
| else |
| { |
| sinix = __imag__ x; |
| cosix = 1.0f; |
| } |
| |
| if (fabsf (__real__ x) > t) |
| { |
| float exp_t = __ieee754_expf (t); |
| float rx = fabsf (__real__ x); |
| if (signbit (__real__ x)) |
| cosix = -cosix; |
| rx -= t; |
| sinix *= exp_t / 2.0f; |
| cosix *= exp_t / 2.0f; |
| if (rx > t) |
| { |
| rx -= t; |
| sinix *= exp_t; |
| cosix *= exp_t; |
| } |
| if (rx > t) |
| { |
| /* Overflow (original real part of x > 3t). */ |
| __real__ retval = FLT_MAX * cosix; |
| __imag__ retval = FLT_MAX * sinix; |
| } |
| else |
| { |
| float exp_val = __ieee754_expf (rx); |
| __real__ retval = exp_val * cosix; |
| __imag__ retval = exp_val * sinix; |
| } |
| } |
| else |
| { |
| __real__ retval = __ieee754_sinhf (__real__ x) * cosix; |
| __imag__ retval = __ieee754_coshf (__real__ x) * sinix; |
| } |
| |
| if (negate) |
| __real__ retval = -__real__ retval; |
| |
| if (fabsf (__real__ retval) < FLT_MIN) |
| { |
| volatile float force_underflow |
| = __real__ retval * __real__ retval; |
| (void) force_underflow; |
| } |
| if (fabsf (__imag__ retval) < FLT_MIN) |
| { |
| volatile float force_underflow |
| = __imag__ retval * __imag__ retval; |
| (void) force_underflow; |
| } |
| } |
| else |
| { |
| if (rcls == FP_ZERO) |
| { |
| /* Real part is 0.0. */ |
| __real__ retval = __copysignf (0.0, negate ? -1.0 : 1.0); |
| __imag__ retval = __nanf ("") + __nanf (""); |
| |
| if (icls == FP_INFINITE) |
| feraiseexcept (FE_INVALID); |
| } |
| else |
| { |
| __real__ retval = __nanf (""); |
| __imag__ retval = __nanf (""); |
| |
| feraiseexcept (FE_INVALID); |
| } |
| } |
| } |
| else if (__builtin_expect (rcls == FP_INFINITE, 1)) |
| { |
| /* Real part is infinite. */ |
| if (__builtin_expect (icls > FP_ZERO, 1)) |
| { |
| /* Imaginary part is finite. */ |
| float sinix, cosix; |
| |
| if (__builtin_expect (icls != FP_SUBNORMAL, 1)) |
| { |
| __sincosf (__imag__ x, &sinix, &cosix); |
| } |
| else |
| { |
| sinix = __imag__ x; |
| cosix = 1.0f; |
| } |
| |
| __real__ retval = __copysignf (HUGE_VALF, cosix); |
| __imag__ retval = __copysignf (HUGE_VALF, sinix); |
| |
| if (negate) |
| __real__ retval = -__real__ retval; |
| } |
| else if (icls == FP_ZERO) |
| { |
| /* Imaginary part is 0.0. */ |
| __real__ retval = negate ? -HUGE_VALF : HUGE_VALF; |
| __imag__ retval = __imag__ x; |
| } |
| else |
| { |
| /* The addition raises the invalid exception. */ |
| __real__ retval = HUGE_VALF; |
| __imag__ retval = __nanf ("") + __nanf (""); |
| |
| #ifdef FE_INVALID |
| if (icls == FP_INFINITE) |
| feraiseexcept (FE_INVALID); |
| #endif |
| } |
| } |
| else |
| { |
| __real__ retval = __nanf (""); |
| __imag__ retval = __imag__ x == 0.0 ? __imag__ x : __nanf (""); |
| } |
| |
| return retval; |
| } |
| #ifndef __csinhf |
| weak_alias (__csinhf, csinhf) |
| #endif |