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Diffstat (limited to 'REORG.TODO/math/s_catan_template.c')
| -rw-r--r-- | REORG.TODO/math/s_catan_template.c | 145 |
1 files changed, 145 insertions, 0 deletions
diff --git a/REORG.TODO/math/s_catan_template.c b/REORG.TODO/math/s_catan_template.c new file mode 100644 index 0000000000..dce613f77d --- /dev/null +++ b/REORG.TODO/math/s_catan_template.c @@ -0,0 +1,145 @@ +/* Return arc tangent of complex float type. + Copyright (C) 1997-2017 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 <math.h> +#include <math_private.h> +#include <float.h> + +CFLOAT +M_DECL_FUNC (__catan) (CFLOAT x) +{ + CFLOAT res; + int rcls = fpclassify (__real__ x); + int icls = fpclassify (__imag__ x); + + if (__glibc_unlikely (rcls <= FP_INFINITE || icls <= FP_INFINITE)) + { + if (rcls == FP_INFINITE) + { + __real__ res = M_COPYSIGN (M_MLIT (M_PI_2), __real__ x); + __imag__ res = M_COPYSIGN (0, __imag__ x); + } + else if (icls == FP_INFINITE) + { + if (rcls >= FP_ZERO) + __real__ res = M_COPYSIGN (M_MLIT (M_PI_2), __real__ x); + else + __real__ res = M_NAN; + __imag__ res = M_COPYSIGN (0, __imag__ x); + } + else if (icls == FP_ZERO || icls == FP_INFINITE) + { + __real__ res = M_NAN; + __imag__ res = M_COPYSIGN (0, __imag__ x); + } + else + { + __real__ res = M_NAN; + __imag__ res = M_NAN; + } + } + else if (__glibc_unlikely (rcls == FP_ZERO && icls == FP_ZERO)) + { + res = x; + } + else + { + if (M_FABS (__real__ x) >= 16 / M_EPSILON + || M_FABS (__imag__ x) >= 16 / M_EPSILON) + { + __real__ res = M_COPYSIGN (M_MLIT (M_PI_2), __real__ x); + if (M_FABS (__real__ x) <= 1) + __imag__ res = 1 / __imag__ x; + else if (M_FABS (__imag__ x) <= 1) + __imag__ res = __imag__ x / __real__ x / __real__ x; + else + { + FLOAT h = M_HYPOT (__real__ x / 2, __imag__ x / 2); + __imag__ res = __imag__ x / h / h / 4; + } + } + else + { + FLOAT den, absx, absy; + + absx = M_FABS (__real__ x); + absy = M_FABS (__imag__ x); + if (absx < absy) + { + FLOAT t = absx; + absx = absy; + absy = t; + } + + if (absy < M_EPSILON / 2) + { + den = (1 - absx) * (1 + absx); + if (den == 0) + den = 0; + } + else if (absx >= 1) + den = (1 - absx) * (1 + absx) - absy * absy; + else if (absx >= M_LIT (0.75) || absy >= M_LIT (0.5)) + den = -M_SUF (__x2y2m1) (absx, absy); + else + den = (1 - absx) * (1 + absx) - absy * absy; + + __real__ res = M_LIT (0.5) * M_ATAN2 (2 * __real__ x, den); + + if (M_FABS (__imag__ x) == 1 + && M_FABS (__real__ x) < M_EPSILON * M_EPSILON) + __imag__ res = (M_COPYSIGN (M_LIT (0.5), __imag__ x) + * ((FLOAT) M_MLIT (M_LN2) + - M_LOG (M_FABS (__real__ x)))); + else + { + FLOAT r2 = 0, num, f; + + if (M_FABS (__real__ x) >= M_EPSILON * M_EPSILON) + r2 = __real__ x * __real__ x; + + num = __imag__ x + 1; + num = r2 + num * num; + + den = __imag__ x - 1; + den = r2 + den * den; + + f = num / den; + if (f < M_LIT (0.5)) + __imag__ res = M_LIT (0.25) * M_LOG (f); + else + { + num = 4 * __imag__ x; + __imag__ res = M_LIT (0.25) * M_LOG1P (num / den); + } + } + } + + math_check_force_underflow_complex (res); + } + + return res; +} + +declare_mgen_alias (__catan, catan) + +#if M_LIBM_NEED_COMPAT (catan) +declare_mgen_libm_compat (__catan, catan) +#endif |