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Diffstat (limited to 'libquadmath/math/csinq.c')
| -rw-r--r-- | libquadmath/math/csinq.c | 171 |
1 files changed, 171 insertions, 0 deletions
diff --git a/libquadmath/math/csinq.c b/libquadmath/math/csinq.c new file mode 100644 index 0000000..c837e50 --- /dev/null +++ b/libquadmath/math/csinq.c @@ -0,0 +1,171 @@ +/* Complex sine function for complex __float128. + 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 +csinq (__complex128 x) +{ + __complex128 retval; + int negate = signbitq (__real__ x); + int rcls = fpclassifyq (__real__ x); + int icls = fpclassifyq (__imag__ x); + + __real__ x = fabsq (__real__ x); + + if (__builtin_expect (icls >= QUADFP_ZERO, 1)) + { + /* Imaginary part is finite. */ + if (__builtin_expect (rcls >= QUADFP_ZERO, 1)) + { + /* Real part is finite. */ + const int t = (int) ((FLT128_MAX_EXP - 1) * M_LN2q); + __float128 sinix, cosix; + + if (__builtin_expect (rcls != QUADFP_SUBNORMAL, 1)) + { + sincosq (__real__ x, &sinix, &cosix); + } + else + { + sinix = __real__ x; + cosix = 1.0Q; + } + + if (fabsq (__imag__ x) > t) + { + __float128 exp_t = expq (t); + __float128 ix = fabsq (__imag__ x); + if (signbitq (__imag__ x)) + cosix = -cosix; + ix -= t; + sinix *= exp_t / 2.0Q; + cosix *= exp_t / 2.0Q; + if (ix > t) + { + ix -= t; + sinix *= exp_t; + cosix *= exp_t; + } + if (ix > t) + { + /* Overflow (original imaginary part of x > 3t). */ + __real__ retval = FLT128_MAX * sinix; + __imag__ retval = FLT128_MAX * cosix; + } + else + { + __float128 exp_val = expq (ix); + __real__ retval = exp_val * sinix; + __imag__ retval = exp_val * cosix; + } + } + else + { + __real__ retval = coshq (__imag__ x) * sinix; + __imag__ retval = sinhq (__imag__ x) * cosix; + } + + if (negate) + __real__ retval = -__real__ retval; + } + else + { + if (icls == QUADFP_ZERO) + { + /* Imaginary part is 0.0. */ + __real__ retval = nanq (""); + __imag__ retval = __imag__ x; + +#ifdef HAVE_FENV_H + if (rcls == QUADFP_INFINITE) + feraiseexcept (FE_INVALID); +#endif + } + else + { + __real__ retval = nanq (""); + __imag__ retval = nanq (""); + +#ifdef HAVE_FENV_H + feraiseexcept (FE_INVALID); +#endif + } + } + } + else if (icls == QUADFP_INFINITE) + { + /* Imaginary part is infinite. */ + if (rcls == QUADFP_ZERO) + { + /* Real part is 0.0. */ + __real__ retval = copysignq (0.0Q, negate ? -1.0Q : 1.0Q); + __imag__ retval = __imag__ x; + } + else if (rcls > QUADFP_ZERO) + { + /* Real part is finite. */ + __float128 sinix, cosix; + + if (__builtin_expect (rcls != QUADFP_SUBNORMAL, 1)) + { + sincosq (__real__ x, &sinix, &cosix); + } + else + { + sinix = __real__ x; + cosix = 1.0; + } + + __real__ retval = copysignq (HUGE_VALQ, sinix); + __imag__ retval = copysignq (HUGE_VALQ, cosix); + + if (negate) + __real__ retval = -__real__ retval; + if (signbitq (__imag__ x)) + __imag__ retval = -__imag__ retval; + } + else + { + /* The addition raises the invalid exception. */ + __real__ retval = nanq (""); + __imag__ retval = HUGE_VALQ; + +#ifdef HAVE_FENV_H + if (rcls == QUADFP_INFINITE) + feraiseexcept (FE_INVALID); +#endif + } + } + else + { + if (rcls == QUADFP_ZERO) + __real__ retval = copysignq (0.0Q, negate ? -1.0Q : 1.0Q); + else + __real__ retval = nanq (""); + __imag__ retval = nanq (""); + } + + return retval; +} |