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-rw-r--r--libquadmath/math/ctanq.c120
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diff --git a/libquadmath/math/ctanq.c b/libquadmath/math/ctanq.c
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+/* Complex tangent 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
+ctanq (__complex128 x)
+{
+ __complex128 res;
+
+ if (__builtin_expect (!finiteq (__real__ x) || !finiteq (__imag__ x), 0))
+ {
+ if (__quadmath_isinf_nsq (__imag__ x))
+ {
+ __real__ res = copysignq (0.0Q, __real__ x);
+ __imag__ res = copysignq (1.0Q, __imag__ x);
+ }
+ else if (__real__ x == 0.0Q)
+ {
+ res = x;
+ }
+ else
+ {
+ __real__ res = nanq ("");
+ __imag__ res = nanq ("");
+
+#ifdef HAVE_FENV_H
+ if (__quadmath_isinf_nsq (__real__ x))
+ feraiseexcept (FE_INVALID);
+#endif
+ }
+ }
+ else
+ {
+ __float128 sinrx, cosrx;
+ __float128 den;
+ const int t = (int) ((FLT128_MAX_EXP - 1) * M_LN2q / 2.0Q);
+ int rcls = fpclassifyq (__real__ x);
+
+ /* tan(x+iy) = (sin(2x) + i*sinh(2y))/(cos(2x) + cosh(2y))
+ = (sin(x)*cos(x) + i*sinh(y)*cosh(y)/(cos(x)^2 + sinh(y)^2). */
+
+ if (__builtin_expect (rcls != QUADFP_SUBNORMAL, 1))
+ {
+ sincosq (__real__ x, &sinrx, &cosrx);
+ }
+ else
+ {
+ sinrx = __real__ x;
+ cosrx = 1.0Q;
+ }
+
+ if (fabsq (__imag__ x) > t)
+ {
+ /* Avoid intermediate overflow when the real part of the
+ result may be subnormal. Ignoring negligible terms, the
+ imaginary part is +/- 1, the real part is
+ sin(x)*cos(x)/sinh(y)^2 = 4*sin(x)*cos(x)/exp(2y). */
+ __float128 exp_2t = expq (2 * t);
+
+ __imag__ res = copysignq (1.0Q, __imag__ x);
+ __real__ res = 4 * sinrx * cosrx;
+ __imag__ x = fabsq (__imag__ x);
+ __imag__ x -= t;
+ __real__ res /= exp_2t;
+ if (__imag__ x > t)
+ {
+ /* Underflow (original imaginary part of x has absolute
+ value > 2t). */
+ __real__ res /= exp_2t;
+ }
+ else
+ __real__ res /= expq (2 * __imag__ x);
+ }
+ else
+ {
+ __float128 sinhix, coshix;
+ if (fabsq (__imag__ x) > FLT128_MIN)
+ {
+ sinhix = sinhq (__imag__ x);
+ coshix = coshq (__imag__ x);
+ }
+ else
+ {
+ sinhix = __imag__ x;
+ coshix = 1.0Q;
+ }
+
+ if (fabsq (sinhix) > fabsq (cosrx) * FLT128_EPSILON)
+ den = cosrx * cosrx + sinhix * sinhix;
+ else
+ den = cosrx * cosrx;
+ __real__ res = sinrx * cosrx / den;
+ __imag__ res = sinhix * coshix / den;
+ }
+ }
+
+ return res;
+}