Prepare to convert _Complex tangent functions
This patch has no function changes, except to ensure the git history correctly tracks the changes to convert the double version of these functions into a templated version.
This commit is contained in:
Paul E. Murphy
parent
c50eee19c4
commit
f6d3a72eca
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@ -1,3 +1,10 @@
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2016-08-19 Paul E. Murphy <murphyp@linux.vnet.ibm.com>
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* s_catan_template.c: Copy of s_catan.c.
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* s_catanh_template.c: Copy of s_catanh.c.
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* s_ctan_template.c: Copy of s_ctan.c.
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* s_ctanh_template.c: Copy of s_ctanh.c.
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2016-08-19 Paul E. Murphy <murphyp@linux.vnet.ibm.com>
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* math/Makefile (gen-libm-calls): Move
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@ -0,0 +1,143 @@
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/* Return arc tangent of complex double value.
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Copyright (C) 1997-2016 Free Software Foundation, Inc.
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This file is part of the GNU C Library.
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Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
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The GNU C Library is free software; you can redistribute it and/or
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modify it under the terms of the GNU Lesser General Public
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License as published by the Free Software Foundation; either
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version 2.1 of the License, or (at your option) any later version.
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The GNU C Library is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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Lesser General Public License for more details.
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You should have received a copy of the GNU Lesser General Public
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License along with the GNU C Library; if not, see
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<http://www.gnu.org/licenses/>. */
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#include <complex.h>
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#include <math.h>
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#include <math_private.h>
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#include <float.h>
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__complex__ double
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__catan (__complex__ double x)
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{
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__complex__ double res;
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int rcls = fpclassify (__real__ x);
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int icls = fpclassify (__imag__ x);
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if (__glibc_unlikely (rcls <= FP_INFINITE || icls <= FP_INFINITE))
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{
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if (rcls == FP_INFINITE)
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{
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__real__ res = __copysign (M_PI_2, __real__ x);
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__imag__ res = __copysign (0.0, __imag__ x);
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}
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else if (icls == FP_INFINITE)
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{
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if (rcls >= FP_ZERO)
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__real__ res = __copysign (M_PI_2, __real__ x);
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else
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__real__ res = __nan ("");
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__imag__ res = __copysign (0.0, __imag__ x);
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}
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else if (icls == FP_ZERO || icls == FP_INFINITE)
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{
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__real__ res = __nan ("");
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__imag__ res = __copysign (0.0, __imag__ x);
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}
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else
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{
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__real__ res = __nan ("");
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__imag__ res = __nan ("");
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}
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}
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else if (__glibc_unlikely (rcls == FP_ZERO && icls == FP_ZERO))
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{
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res = x;
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}
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else
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{
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if (fabs (__real__ x) >= 16.0 / DBL_EPSILON
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|| fabs (__imag__ x) >= 16.0 / DBL_EPSILON)
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{
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__real__ res = __copysign (M_PI_2, __real__ x);
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if (fabs (__real__ x) <= 1.0)
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__imag__ res = 1.0 / __imag__ x;
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else if (fabs (__imag__ x) <= 1.0)
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__imag__ res = __imag__ x / __real__ x / __real__ x;
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else
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{
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double h = __ieee754_hypot (__real__ x / 2.0, __imag__ x / 2.0);
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__imag__ res = __imag__ x / h / h / 4.0;
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}
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}
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else
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{
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double den, absx, absy;
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absx = fabs (__real__ x);
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absy = fabs (__imag__ x);
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if (absx < absy)
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{
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double t = absx;
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absx = absy;
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absy = t;
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}
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if (absy < DBL_EPSILON / 2.0)
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{
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den = (1.0 - absx) * (1.0 + absx);
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if (den == -0.0)
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den = 0.0;
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}
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else if (absx >= 1.0)
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den = (1.0 - absx) * (1.0 + absx) - absy * absy;
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else if (absx >= 0.75 || absy >= 0.5)
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den = -__x2y2m1 (absx, absy);
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else
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den = (1.0 - absx) * (1.0 + absx) - absy * absy;
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__real__ res = 0.5 * __ieee754_atan2 (2.0 * __real__ x, den);
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if (fabs (__imag__ x) == 1.0
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&& fabs (__real__ x) < DBL_EPSILON * DBL_EPSILON)
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__imag__ res = (__copysign (0.5, __imag__ x)
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* (M_LN2 - __ieee754_log (fabs (__real__ x))));
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else
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{
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double r2 = 0.0, num, f;
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if (fabs (__real__ x) >= DBL_EPSILON * DBL_EPSILON)
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r2 = __real__ x * __real__ x;
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num = __imag__ x + 1.0;
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num = r2 + num * num;
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den = __imag__ x - 1.0;
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den = r2 + den * den;
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f = num / den;
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if (f < 0.5)
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__imag__ res = 0.25 * __ieee754_log (f);
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else
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{
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num = 4.0 * __imag__ x;
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__imag__ res = 0.25 * __log1p (num / den);
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}
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}
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}
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math_check_force_underflow_complex (res);
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}
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return res;
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}
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weak_alias (__catan, catan)
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#ifdef NO_LONG_DOUBLE
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strong_alias (__catan, __catanl)
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weak_alias (__catan, catanl)
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#endif
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@ -0,0 +1,137 @@
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/* Return arc hyperbole tangent for double value.
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Copyright (C) 1997-2016 Free Software Foundation, Inc.
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This file is part of the GNU C Library.
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Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
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The GNU C Library is free software; you can redistribute it and/or
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modify it under the terms of the GNU Lesser General Public
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License as published by the Free Software Foundation; either
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version 2.1 of the License, or (at your option) any later version.
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The GNU C Library is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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Lesser General Public License for more details.
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You should have received a copy of the GNU Lesser General Public
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License along with the GNU C Library; if not, see
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<http://www.gnu.org/licenses/>. */
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#include <complex.h>
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#include <math.h>
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#include <math_private.h>
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#include <float.h>
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__complex__ double
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__catanh (__complex__ double x)
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{
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__complex__ double res;
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int rcls = fpclassify (__real__ x);
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int icls = fpclassify (__imag__ x);
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if (__glibc_unlikely (rcls <= FP_INFINITE || icls <= FP_INFINITE))
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{
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if (icls == FP_INFINITE)
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{
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__real__ res = __copysign (0.0, __real__ x);
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__imag__ res = __copysign (M_PI_2, __imag__ x);
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}
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else if (rcls == FP_INFINITE || rcls == FP_ZERO)
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{
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__real__ res = __copysign (0.0, __real__ x);
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if (icls >= FP_ZERO)
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__imag__ res = __copysign (M_PI_2, __imag__ x);
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else
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__imag__ res = __nan ("");
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}
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else
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{
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__real__ res = __nan ("");
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__imag__ res = __nan ("");
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}
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}
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else if (__glibc_unlikely (rcls == FP_ZERO && icls == FP_ZERO))
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{
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res = x;
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}
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else
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{
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if (fabs (__real__ x) >= 16.0 / DBL_EPSILON
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|| fabs (__imag__ x) >= 16.0 / DBL_EPSILON)
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{
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__imag__ res = __copysign (M_PI_2, __imag__ x);
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if (fabs (__imag__ x) <= 1.0)
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__real__ res = 1.0 / __real__ x;
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else if (fabs (__real__ x) <= 1.0)
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__real__ res = __real__ x / __imag__ x / __imag__ x;
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else
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{
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double h = __ieee754_hypot (__real__ x / 2.0, __imag__ x / 2.0);
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__real__ res = __real__ x / h / h / 4.0;
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}
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}
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else
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{
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if (fabs (__real__ x) == 1.0
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&& fabs (__imag__ x) < DBL_EPSILON * DBL_EPSILON)
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__real__ res = (__copysign (0.5, __real__ x)
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* (M_LN2 - __ieee754_log (fabs (__imag__ x))));
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else
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{
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double i2 = 0.0;
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if (fabs (__imag__ x) >= DBL_EPSILON * DBL_EPSILON)
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i2 = __imag__ x * __imag__ x;
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double num = 1.0 + __real__ x;
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num = i2 + num * num;
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double den = 1.0 - __real__ x;
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den = i2 + den * den;
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double f = num / den;
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if (f < 0.5)
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__real__ res = 0.25 * __ieee754_log (f);
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else
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{
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num = 4.0 * __real__ x;
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__real__ res = 0.25 * __log1p (num / den);
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}
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}
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double absx, absy, den;
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absx = fabs (__real__ x);
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absy = fabs (__imag__ x);
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if (absx < absy)
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{
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double t = absx;
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absx = absy;
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absy = t;
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}
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if (absy < DBL_EPSILON / 2.0)
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{
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den = (1.0 - absx) * (1.0 + absx);
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if (den == -0.0)
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den = 0.0;
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}
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else if (absx >= 1.0)
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den = (1.0 - absx) * (1.0 + absx) - absy * absy;
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else if (absx >= 0.75 || absy >= 0.5)
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den = -__x2y2m1 (absx, absy);
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else
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den = (1.0 - absx) * (1.0 + absx) - absy * absy;
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__imag__ res = 0.5 * __ieee754_atan2 (2.0 * __imag__ x, den);
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}
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math_check_force_underflow_complex (res);
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}
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return res;
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}
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weak_alias (__catanh, catanh)
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#ifdef NO_LONG_DOUBLE
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strong_alias (__catanh, __catanhl)
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weak_alias (__catanh, catanhl)
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#endif
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@ -0,0 +1,129 @@
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/* Complex tangent function for double.
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Copyright (C) 1997-2016 Free Software Foundation, Inc.
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This file is part of the GNU C Library.
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Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
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The GNU C Library is free software; you can redistribute it and/or
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modify it under the terms of the GNU Lesser General Public
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License as published by the Free Software Foundation; either
|
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version 2.1 of the License, or (at your option) any later version.
|
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|
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The GNU C Library is distributed in the hope that it will be useful,
|
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but WITHOUT ANY WARRANTY; without even the implied warranty of
|
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
|
||||
Lesser General Public License for more details.
|
||||
|
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You should have received a copy of the GNU Lesser General Public
|
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License along with the GNU C Library; if not, see
|
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<http://www.gnu.org/licenses/>. */
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#include <complex.h>
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#include <fenv.h>
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#include <math.h>
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#include <math_private.h>
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#include <float.h>
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__complex__ double
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__ctan (__complex__ double x)
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{
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__complex__ double res;
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if (__glibc_unlikely (!isfinite (__real__ x) || !isfinite (__imag__ x)))
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{
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if (isinf (__imag__ x))
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{
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if (isfinite (__real__ x) && fabs (__real__ x) > 1.0)
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{
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double sinrx, cosrx;
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__sincos (__real__ x, &sinrx, &cosrx);
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__real__ res = __copysign (0.0, sinrx * cosrx);
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}
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else
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__real__ res = __copysign (0.0, __real__ x);
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__imag__ res = __copysign (1.0, __imag__ x);
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}
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else if (__real__ x == 0.0)
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{
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res = x;
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}
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else
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{
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__real__ res = __nan ("");
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__imag__ res = __nan ("");
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if (isinf (__real__ x))
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feraiseexcept (FE_INVALID);
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}
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}
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else
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{
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double sinrx, cosrx;
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double den;
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const int t = (int) ((DBL_MAX_EXP - 1) * M_LN2 / 2);
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/* tan(x+iy) = (sin(2x) + i*sinh(2y))/(cos(2x) + cosh(2y))
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= (sin(x)*cos(x) + i*sinh(y)*cosh(y)/(cos(x)^2 + sinh(y)^2). */
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if (__glibc_likely (fabs (__real__ x) > DBL_MIN))
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{
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__sincos (__real__ x, &sinrx, &cosrx);
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}
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else
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{
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sinrx = __real__ x;
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cosrx = 1.0;
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}
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|
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if (fabs (__imag__ x) > t)
|
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{
|
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/* Avoid intermediate overflow when the real part of the
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result may be subnormal. Ignoring negligible terms, the
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imaginary part is +/- 1, the real part is
|
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sin(x)*cos(x)/sinh(y)^2 = 4*sin(x)*cos(x)/exp(2y). */
|
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double exp_2t = __ieee754_exp (2 * t);
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|
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__imag__ res = __copysign (1.0, __imag__ x);
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__real__ res = 4 * sinrx * cosrx;
|
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__imag__ x = fabs (__imag__ x);
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__imag__ x -= t;
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__real__ res /= exp_2t;
|
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if (__imag__ x > t)
|
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{
|
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/* Underflow (original imaginary part of x has absolute
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value > 2t). */
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__real__ res /= exp_2t;
|
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}
|
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else
|
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__real__ res /= __ieee754_exp (2 * __imag__ x);
|
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}
|
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else
|
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{
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double sinhix, coshix;
|
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if (fabs (__imag__ x) > DBL_MIN)
|
||||
{
|
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sinhix = __ieee754_sinh (__imag__ x);
|
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coshix = __ieee754_cosh (__imag__ x);
|
||||
}
|
||||
else
|
||||
{
|
||||
sinhix = __imag__ x;
|
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coshix = 1.0;
|
||||
}
|
||||
|
||||
if (fabs (sinhix) > fabs (cosrx) * DBL_EPSILON)
|
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den = cosrx * cosrx + sinhix * sinhix;
|
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else
|
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den = cosrx * cosrx;
|
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__real__ res = sinrx * cosrx / den;
|
||||
__imag__ res = sinhix * coshix / den;
|
||||
}
|
||||
math_check_force_underflow_complex (res);
|
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}
|
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|
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return res;
|
||||
}
|
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weak_alias (__ctan, ctan)
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#ifdef NO_LONG_DOUBLE
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strong_alias (__ctan, __ctanl)
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weak_alias (__ctan, ctanl)
|
||||
#endif
|
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|
|
@ -0,0 +1,129 @@
|
|||
/* Complex hyperbole tangent for double.
|
||||
Copyright (C) 1997-2016 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__ double
|
||||
__ctanh (__complex__ double x)
|
||||
{
|
||||
__complex__ double res;
|
||||
|
||||
if (__glibc_unlikely (!isfinite (__real__ x) || !isfinite (__imag__ x)))
|
||||
{
|
||||
if (isinf (__real__ x))
|
||||
{
|
||||
__real__ res = __copysign (1.0, __real__ x);
|
||||
if (isfinite (__imag__ x) && fabs (__imag__ x) > 1.0)
|
||||
{
|
||||
double sinix, cosix;
|
||||
__sincos (__imag__ x, &sinix, &cosix);
|
||||
__imag__ res = __copysign (0.0, sinix * cosix);
|
||||
}
|
||||
else
|
||||
__imag__ res = __copysign (0.0, __imag__ x);
|
||||
}
|
||||
else if (__imag__ x == 0.0)
|
||||
{
|
||||
res = x;
|
||||
}
|
||||
else
|
||||
{
|
||||
__real__ res = __nan ("");
|
||||
__imag__ res = __nan ("");
|
||||
|
||||
if (isinf (__imag__ x))
|
||||
feraiseexcept (FE_INVALID);
|
||||
}
|
||||
}
|
||||
else
|
||||
{
|
||||
double sinix, cosix;
|
||||
double den;
|
||||
const int t = (int) ((DBL_MAX_EXP - 1) * M_LN2 / 2);
|
||||
|
||||
/* tanh(x+iy) = (sinh(2x) + i*sin(2y))/(cosh(2x) + cos(2y))
|
||||
= (sinh(x)*cosh(x) + i*sin(y)*cos(y))/(sinh(x)^2 + cos(y)^2). */
|
||||
|
||||
if (__glibc_likely (fabs (__imag__ x) > DBL_MIN))
|
||||
{
|
||||
__sincos (__imag__ x, &sinix, &cosix);
|
||||
}
|
||||
else
|
||||
{
|
||||
sinix = __imag__ x;
|
||||
cosix = 1.0;
|
||||
}
|
||||
|
||||
if (fabs (__real__ x) > t)
|
||||
{
|
||||
/* Avoid intermediate overflow when the imaginary part of
|
||||
the result may be subnormal. Ignoring negligible terms,
|
||||
the real part is +/- 1, the imaginary part is
|
||||
sin(y)*cos(y)/sinh(x)^2 = 4*sin(y)*cos(y)/exp(2x). */
|
||||
double exp_2t = __ieee754_exp (2 * t);
|
||||
|
||||
__real__ res = __copysign (1.0, __real__ x);
|
||||
__imag__ res = 4 * sinix * cosix;
|
||||
__real__ x = fabs (__real__ x);
|
||||
__real__ x -= t;
|
||||
__imag__ res /= exp_2t;
|
||||
if (__real__ x > t)
|
||||
{
|
||||
/* Underflow (original real part of x has absolute value
|
||||
> 2t). */
|
||||
__imag__ res /= exp_2t;
|
||||
}
|
||||
else
|
||||
__imag__ res /= __ieee754_exp (2 * __real__ x);
|
||||
}
|
||||
else
|
||||
{
|
||||
double sinhrx, coshrx;
|
||||
if (fabs (__real__ x) > DBL_MIN)
|
||||
{
|
||||
sinhrx = __ieee754_sinh (__real__ x);
|
||||
coshrx = __ieee754_cosh (__real__ x);
|
||||
}
|
||||
else
|
||||
{
|
||||
sinhrx = __real__ x;
|
||||
coshrx = 1.0;
|
||||
}
|
||||
|
||||
if (fabs (sinhrx) > fabs (cosix) * DBL_EPSILON)
|
||||
den = sinhrx * sinhrx + cosix * cosix;
|
||||
else
|
||||
den = cosix * cosix;
|
||||
__real__ res = sinhrx * coshrx / den;
|
||||
__imag__ res = sinix * cosix / den;
|
||||
}
|
||||
math_check_force_underflow_complex (res);
|
||||
}
|
||||
|
||||
return res;
|
||||
}
|
||||
weak_alias (__ctanh, ctanh)
|
||||
#ifdef NO_LONG_DOUBLE
|
||||
strong_alias (__ctanh, __ctanhl)
|
||||
weak_alias (__ctanh, ctanhl)
|
||||
#endif
|
||||
Loading…
Reference in New Issue