+2016-08-19 Paul E. Murphy <murphyp@linux.vnet.ibm.com>
+
+ * math/Makefile (libm-gen-calls): Add
+ catan, catanh, ctan, ctanh.
+ (libm-calls): Remove the above.
+
+ * math/s_catan_template.c: Update using type-generic macros.
+ * math/s_catanh_template.c: Likewise.
+ * math/s_ctan_template.c: Likewise.
+ * math/s_ctanh_template.c: Likewise.
+
+ * math/s_catanf.c: Removed.
+ * math/s_catan.c: Removed.
+ * math/s_catanl.c: Removed.
+ * math/s_catanhf.c: Removed.
+ * math/s_catanh.c: Removed.
+ * math/s_catanhl.c: Removed.
+ * math/s_ctanf.c: Removed.
+ * math/s_ctan.c: Removed.
+ * math/s_ctanl.c: Removed.
+ * math/s_ctanhf.c: Removed.
+ * math/s_ctanh.c: Removed.
+ * math/s_ctanhl.c: Removed.
+
+ * sysdeps/ieee754/ldbl-opt/s_catanhl.c: Removed.
+ * sysdeps/ieee754/ldbl-opt/s_catanl.c: Removed.
+ * sysdeps/ieee754/ldbl-opt/s_ctan.c: Removed.
+ * sysdeps/ieee754/ldbl-opt/s_ctanh.c: Removed.
+ * sysdeps/ieee754/ldbl-opt/s_ctanhl.c: Removed.
+ * sysdeps/ieee754/ldbl-opt/s_ctanl.c: Removed.
+
+ * sysdeps/alpha/fpu/s_catanf.c: Update to use template file.
+ * sysdeps/alpha/fpu/s_catanhf.c: Likewise.
+ * sysdeps/alpha/fpu/s_ctanf.c: Likewise.
+ * sysdeps/alpha/fpu/s_ctanhf.c: Likewise.
+
2016-08-19 Paul E. Murphy <murphyp@linux.vnet.ibm.com>
* s_catan_template.c: Copy of s_catan.c.
# <func>_template.c and the appropriate math-type-macros-<TYPE>.h.
gen-libm-calls = cargF conjF cimagF crealF cabsF s_cacosF \
s_cacoshF s_ccosF s_ccoshF s_casinF s_csinF s_casinhF \
- k_casinhF s_csinhF
+ k_casinhF s_csinhF k_casinhF s_csinhF s_catanhF s_catanF \
+ s_ctanF s_ctanhF
libm-calls = \
e_acosF e_acoshF e_asinF e_atan2F e_atanhF e_coshF e_expF e_fmodF \
s_fpclassifyF s_fmaxF s_fminF s_fdimF s_nanF s_truncF \
s_remquoF e_log2F e_exp2F s_roundF s_nearbyintF s_sincosF \
s_cexpF s_clogF \
- s_catanF s_ctanF s_ctanhF \
- s_catanhF s_csqrtF s_cpowF s_cprojF s_clog10F \
+ s_csqrtF s_cpowF s_cprojF s_clog10F \
s_fmaF s_lrintF s_llrintF s_lroundF s_llroundF e_exp10F w_log2F \
s_issignalingF $(calls:s_%=m_%) x2y2m1F \
gamma_productF lgamma_negF lgamma_productF \
+++ /dev/null
-/* Return arc tangent of complex double value.
- 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 <math.h>
-#include <math_private.h>
-#include <float.h>
-
-__complex__ double
-__catan (__complex__ double x)
-{
- __complex__ double 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 = __copysign (M_PI_2, __real__ x);
- __imag__ res = __copysign (0.0, __imag__ x);
- }
- else if (icls == FP_INFINITE)
- {
- if (rcls >= FP_ZERO)
- __real__ res = __copysign (M_PI_2, __real__ x);
- else
- __real__ res = __nan ("");
- __imag__ res = __copysign (0.0, __imag__ x);
- }
- else if (icls == FP_ZERO || icls == FP_INFINITE)
- {
- __real__ res = __nan ("");
- __imag__ res = __copysign (0.0, __imag__ x);
- }
- else
- {
- __real__ res = __nan ("");
- __imag__ res = __nan ("");
- }
- }
- else if (__glibc_unlikely (rcls == FP_ZERO && icls == FP_ZERO))
- {
- res = x;
- }
- else
- {
- if (fabs (__real__ x) >= 16.0 / DBL_EPSILON
- || fabs (__imag__ x) >= 16.0 / DBL_EPSILON)
- {
- __real__ res = __copysign (M_PI_2, __real__ x);
- if (fabs (__real__ x) <= 1.0)
- __imag__ res = 1.0 / __imag__ x;
- else if (fabs (__imag__ x) <= 1.0)
- __imag__ res = __imag__ x / __real__ x / __real__ x;
- else
- {
- double h = __ieee754_hypot (__real__ x / 2.0, __imag__ x / 2.0);
- __imag__ res = __imag__ x / h / h / 4.0;
- }
- }
- else
- {
- double den, absx, absy;
-
- absx = fabs (__real__ x);
- absy = fabs (__imag__ x);
- if (absx < absy)
- {
- double t = absx;
- absx = absy;
- absy = t;
- }
-
- if (absy < DBL_EPSILON / 2.0)
- {
- den = (1.0 - absx) * (1.0 + absx);
- if (den == -0.0)
- den = 0.0;
- }
- else if (absx >= 1.0)
- den = (1.0 - absx) * (1.0 + absx) - absy * absy;
- else if (absx >= 0.75 || absy >= 0.5)
- den = -__x2y2m1 (absx, absy);
- else
- den = (1.0 - absx) * (1.0 + absx) - absy * absy;
-
- __real__ res = 0.5 * __ieee754_atan2 (2.0 * __real__ x, den);
-
- if (fabs (__imag__ x) == 1.0
- && fabs (__real__ x) < DBL_EPSILON * DBL_EPSILON)
- __imag__ res = (__copysign (0.5, __imag__ x)
- * (M_LN2 - __ieee754_log (fabs (__real__ x))));
- else
- {
- double r2 = 0.0, num, f;
-
- if (fabs (__real__ x) >= DBL_EPSILON * DBL_EPSILON)
- r2 = __real__ x * __real__ x;
-
- num = __imag__ x + 1.0;
- num = r2 + num * num;
-
- den = __imag__ x - 1.0;
- den = r2 + den * den;
-
- f = num / den;
- if (f < 0.5)
- __imag__ res = 0.25 * __ieee754_log (f);
- else
- {
- num = 4.0 * __imag__ x;
- __imag__ res = 0.25 * __log1p (num / den);
- }
- }
- }
-
- math_check_force_underflow_complex (res);
- }
-
- return res;
-}
-weak_alias (__catan, catan)
-#ifdef NO_LONG_DOUBLE
-strong_alias (__catan, __catanl)
-weak_alias (__catan, catanl)
-#endif
-/* Return arc tangent of complex double value.
+/* Return arc tangent of complex float type.
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.
#include <math_private.h>
#include <float.h>
-__complex__ double
-__catan (__complex__ double x)
+CFLOAT
+M_DECL_FUNC (__catan) (CFLOAT x)
{
- __complex__ double res;
+ CFLOAT res;
int rcls = fpclassify (__real__ x);
int icls = fpclassify (__imag__ x);
{
if (rcls == FP_INFINITE)
{
- __real__ res = __copysign (M_PI_2, __real__ x);
- __imag__ res = __copysign (0.0, __imag__ x);
+ __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 = __copysign (M_PI_2, __real__ x);
+ __real__ res = M_COPYSIGN (M_MLIT (M_PI_2), __real__ x);
else
- __real__ res = __nan ("");
- __imag__ res = __copysign (0.0, __imag__ x);
+ __real__ res = M_NAN;
+ __imag__ res = M_COPYSIGN (0, __imag__ x);
}
else if (icls == FP_ZERO || icls == FP_INFINITE)
{
- __real__ res = __nan ("");
- __imag__ res = __copysign (0.0, __imag__ x);
+ __real__ res = M_NAN;
+ __imag__ res = M_COPYSIGN (0, __imag__ x);
}
else
{
- __real__ res = __nan ("");
- __imag__ res = __nan ("");
+ __real__ res = M_NAN;
+ __imag__ res = M_NAN;
}
}
else if (__glibc_unlikely (rcls == FP_ZERO && icls == FP_ZERO))
}
else
{
- if (fabs (__real__ x) >= 16.0 / DBL_EPSILON
- || fabs (__imag__ x) >= 16.0 / DBL_EPSILON)
+ if (M_FABS (__real__ x) >= 16 / M_EPSILON
+ || M_FABS (__imag__ x) >= 16 / M_EPSILON)
{
- __real__ res = __copysign (M_PI_2, __real__ x);
- if (fabs (__real__ x) <= 1.0)
- __imag__ res = 1.0 / __imag__ x;
- else if (fabs (__imag__ x) <= 1.0)
+ __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
{
- double h = __ieee754_hypot (__real__ x / 2.0, __imag__ x / 2.0);
- __imag__ res = __imag__ x / h / h / 4.0;
+ FLOAT h = M_HYPOT (__real__ x / 2, __imag__ x / 2);
+ __imag__ res = __imag__ x / h / h / 4;
}
}
else
{
- double den, absx, absy;
+ FLOAT den, absx, absy;
- absx = fabs (__real__ x);
- absy = fabs (__imag__ x);
+ absx = M_FABS (__real__ x);
+ absy = M_FABS (__imag__ x);
if (absx < absy)
{
- double t = absx;
+ FLOAT t = absx;
absx = absy;
absy = t;
}
- if (absy < DBL_EPSILON / 2.0)
+ if (absy < M_EPSILON / 2)
{
- den = (1.0 - absx) * (1.0 + absx);
- if (den == -0.0)
- den = 0.0;
+ den = (1 - absx) * (1 + absx);
+ if (den == 0)
+ den = 0;
}
- else if (absx >= 1.0)
- den = (1.0 - absx) * (1.0 + absx) - absy * absy;
- else if (absx >= 0.75 || absy >= 0.5)
- den = -__x2y2m1 (absx, absy);
+ 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 = (1.0 - absx) * (1.0 + absx) - absy * absy;
+ den = (1 - absx) * (1 + absx) - absy * absy;
- __real__ res = 0.5 * __ieee754_atan2 (2.0 * __real__ x, den);
+ __real__ res = M_LIT (0.5) * M_ATAN2 (2 * __real__ x, den);
- if (fabs (__imag__ x) == 1.0
- && fabs (__real__ x) < DBL_EPSILON * DBL_EPSILON)
- __imag__ res = (__copysign (0.5, __imag__ x)
- * (M_LN2 - __ieee754_log (fabs (__real__ x))));
+ 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
{
- double r2 = 0.0, num, f;
+ FLOAT r2 = 0, num, f;
- if (fabs (__real__ x) >= DBL_EPSILON * DBL_EPSILON)
+ if (M_FABS (__real__ x) >= M_EPSILON * M_EPSILON)
r2 = __real__ x * __real__ x;
- num = __imag__ x + 1.0;
+ num = __imag__ x + 1;
num = r2 + num * num;
- den = __imag__ x - 1.0;
+ den = __imag__ x - 1;
den = r2 + den * den;
f = num / den;
- if (f < 0.5)
- __imag__ res = 0.25 * __ieee754_log (f);
+ if (f < M_LIT (0.5))
+ __imag__ res = M_LIT (0.25) * M_LOG (f);
else
{
- num = 4.0 * __imag__ x;
- __imag__ res = 0.25 * __log1p (num / den);
+ num = 4 * __imag__ x;
+ __imag__ res = M_LIT (0.25) * M_LOG1P (num / den);
}
}
}
return res;
}
-weak_alias (__catan, catan)
-#ifdef NO_LONG_DOUBLE
-strong_alias (__catan, __catanl)
-weak_alias (__catan, catanl)
+
+declare_mgen_alias (__catan, catan)
+
+#if M_LIBM_NEED_COMPAT (catan)
+declare_mgen_libm_compat (__catan, catan)
#endif
+++ /dev/null
-/* Return arc tangent of complex float value.
- 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 <math.h>
-#include <math_private.h>
-#include <float.h>
-
-__complex__ float
-__catanf (__complex__ float x)
-{
- __complex__ float 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 = __copysignf (M_PI_2, __real__ x);
- __imag__ res = __copysignf (0.0, __imag__ x);
- }
- else if (icls == FP_INFINITE)
- {
- if (rcls >= FP_ZERO)
- __real__ res = __copysignf (M_PI_2, __real__ x);
- else
- __real__ res = __nanf ("");
- __imag__ res = __copysignf (0.0, __imag__ x);
- }
- else if (icls == FP_ZERO || icls == FP_INFINITE)
- {
- __real__ res = __nanf ("");
- __imag__ res = __copysignf (0.0, __imag__ x);
- }
- else
- {
- __real__ res = __nanf ("");
- __imag__ res = __nanf ("");
- }
- }
- else if (__glibc_unlikely (rcls == FP_ZERO && icls == FP_ZERO))
- {
- res = x;
- }
- else
- {
- if (fabsf (__real__ x) >= 16.0f / FLT_EPSILON
- || fabsf (__imag__ x) >= 16.0f / FLT_EPSILON)
- {
- __real__ res = __copysignf ((float) M_PI_2, __real__ x);
- if (fabsf (__real__ x) <= 1.0f)
- __imag__ res = 1.0f / __imag__ x;
- else if (fabsf (__imag__ x) <= 1.0f)
- __imag__ res = __imag__ x / __real__ x / __real__ x;
- else
- {
- float h = __ieee754_hypotf (__real__ x / 2.0f,
- __imag__ x / 2.0f);
- __imag__ res = __imag__ x / h / h / 4.0f;
- }
- }
- else
- {
- float den, absx, absy;
-
- absx = fabsf (__real__ x);
- absy = fabsf (__imag__ x);
- if (absx < absy)
- {
- float t = absx;
- absx = absy;
- absy = t;
- }
-
- if (absy < FLT_EPSILON / 2.0f)
- {
- den = (1.0f - absx) * (1.0f + absx);
- if (den == -0.0f)
- den = 0.0f;
- }
- else if (absx >= 1.0f)
- den = (1.0f - absx) * (1.0f + absx) - absy * absy;
- else if (absx >= 0.75f || absy >= 0.5f)
- den = -__x2y2m1f (absx, absy);
- else
- den = (1.0f - absx) * (1.0f + absx) - absy * absy;
-
- __real__ res = 0.5f * __ieee754_atan2f (2.0f * __real__ x, den);
-
- if (fabsf (__imag__ x) == 1.0f
- && fabsf (__real__ x) < FLT_EPSILON * FLT_EPSILON)
- __imag__ res = (__copysignf (0.5f, __imag__ x)
- * ((float) M_LN2
- - __ieee754_logf (fabsf (__real__ x))));
- else
- {
- float r2 = 0.0f, num, f;
-
- if (fabsf (__real__ x) >= FLT_EPSILON * FLT_EPSILON)
- r2 = __real__ x * __real__ x;
-
- num = __imag__ x + 1.0f;
- num = r2 + num * num;
-
- den = __imag__ x - 1.0f;
- den = r2 + den * den;
-
- f = num / den;
- if (f < 0.5f)
- __imag__ res = 0.25f * __ieee754_logf (f);
- else
- {
- num = 4.0f * __imag__ x;
- __imag__ res = 0.25f * __log1pf (num / den);
- }
- }
- }
-
- math_check_force_underflow_complex (res);
- }
-
- return res;
-}
-#ifndef __catanf
-weak_alias (__catanf, catanf)
-#endif
+++ /dev/null
-/* Return arc hyperbole tangent for double value.
- 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 <math.h>
-#include <math_private.h>
-#include <float.h>
-
-__complex__ double
-__catanh (__complex__ double x)
-{
- __complex__ double res;
- int rcls = fpclassify (__real__ x);
- int icls = fpclassify (__imag__ x);
-
- if (__glibc_unlikely (rcls <= FP_INFINITE || icls <= FP_INFINITE))
- {
- if (icls == FP_INFINITE)
- {
- __real__ res = __copysign (0.0, __real__ x);
- __imag__ res = __copysign (M_PI_2, __imag__ x);
- }
- else if (rcls == FP_INFINITE || rcls == FP_ZERO)
- {
- __real__ res = __copysign (0.0, __real__ x);
- if (icls >= FP_ZERO)
- __imag__ res = __copysign (M_PI_2, __imag__ x);
- else
- __imag__ res = __nan ("");
- }
- else
- {
- __real__ res = __nan ("");
- __imag__ res = __nan ("");
- }
- }
- else if (__glibc_unlikely (rcls == FP_ZERO && icls == FP_ZERO))
- {
- res = x;
- }
- else
- {
- if (fabs (__real__ x) >= 16.0 / DBL_EPSILON
- || fabs (__imag__ x) >= 16.0 / DBL_EPSILON)
- {
- __imag__ res = __copysign (M_PI_2, __imag__ x);
- if (fabs (__imag__ x) <= 1.0)
- __real__ res = 1.0 / __real__ x;
- else if (fabs (__real__ x) <= 1.0)
- __real__ res = __real__ x / __imag__ x / __imag__ x;
- else
- {
- double h = __ieee754_hypot (__real__ x / 2.0, __imag__ x / 2.0);
- __real__ res = __real__ x / h / h / 4.0;
- }
- }
- else
- {
- if (fabs (__real__ x) == 1.0
- && fabs (__imag__ x) < DBL_EPSILON * DBL_EPSILON)
- __real__ res = (__copysign (0.5, __real__ x)
- * (M_LN2 - __ieee754_log (fabs (__imag__ x))));
- else
- {
- double i2 = 0.0;
- if (fabs (__imag__ x) >= DBL_EPSILON * DBL_EPSILON)
- i2 = __imag__ x * __imag__ x;
-
- double num = 1.0 + __real__ x;
- num = i2 + num * num;
-
- double den = 1.0 - __real__ x;
- den = i2 + den * den;
-
- double f = num / den;
- if (f < 0.5)
- __real__ res = 0.25 * __ieee754_log (f);
- else
- {
- num = 4.0 * __real__ x;
- __real__ res = 0.25 * __log1p (num / den);
- }
- }
-
- double absx, absy, den;
-
- absx = fabs (__real__ x);
- absy = fabs (__imag__ x);
- if (absx < absy)
- {
- double t = absx;
- absx = absy;
- absy = t;
- }
-
- if (absy < DBL_EPSILON / 2.0)
- {
- den = (1.0 - absx) * (1.0 + absx);
- if (den == -0.0)
- den = 0.0;
- }
- else if (absx >= 1.0)
- den = (1.0 - absx) * (1.0 + absx) - absy * absy;
- else if (absx >= 0.75 || absy >= 0.5)
- den = -__x2y2m1 (absx, absy);
- else
- den = (1.0 - absx) * (1.0 + absx) - absy * absy;
-
- __imag__ res = 0.5 * __ieee754_atan2 (2.0 * __imag__ x, den);
- }
-
- math_check_force_underflow_complex (res);
- }
-
- return res;
-}
-weak_alias (__catanh, catanh)
-#ifdef NO_LONG_DOUBLE
-strong_alias (__catanh, __catanhl)
-weak_alias (__catanh, catanhl)
-#endif
-/* Return arc hyperbole tangent for double value.
+/* Return arc hyperbolic tangent for a complex float type.
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.
#include <math_private.h>
#include <float.h>
-__complex__ double
-__catanh (__complex__ double x)
+CFLOAT
+M_DECL_FUNC (__catanh) (CFLOAT x)
{
- __complex__ double res;
+ CFLOAT res;
int rcls = fpclassify (__real__ x);
int icls = fpclassify (__imag__ x);
{
if (icls == FP_INFINITE)
{
- __real__ res = __copysign (0.0, __real__ x);
- __imag__ res = __copysign (M_PI_2, __imag__ x);
+ __real__ res = M_COPYSIGN (0, __real__ x);
+ __imag__ res = M_COPYSIGN (M_MLIT (M_PI_2), __imag__ x);
}
else if (rcls == FP_INFINITE || rcls == FP_ZERO)
{
- __real__ res = __copysign (0.0, __real__ x);
+ __real__ res = M_COPYSIGN (0, __real__ x);
if (icls >= FP_ZERO)
- __imag__ res = __copysign (M_PI_2, __imag__ x);
+ __imag__ res = M_COPYSIGN (M_MLIT (M_PI_2), __imag__ x);
else
- __imag__ res = __nan ("");
+ __imag__ res = M_NAN;
}
else
{
- __real__ res = __nan ("");
- __imag__ res = __nan ("");
+ __real__ res = M_NAN;
+ __imag__ res = M_NAN;
}
}
else if (__glibc_unlikely (rcls == FP_ZERO && icls == FP_ZERO))
}
else
{
- if (fabs (__real__ x) >= 16.0 / DBL_EPSILON
- || fabs (__imag__ x) >= 16.0 / DBL_EPSILON)
+ if (M_FABS (__real__ x) >= 16 / M_EPSILON
+ || M_FABS (__imag__ x) >= 16 / M_EPSILON)
{
- __imag__ res = __copysign (M_PI_2, __imag__ x);
- if (fabs (__imag__ x) <= 1.0)
- __real__ res = 1.0 / __real__ x;
- else if (fabs (__real__ x) <= 1.0)
+ __imag__ res = M_COPYSIGN (M_MLIT (M_PI_2), __imag__ x);
+ if (M_FABS (__imag__ x) <= 1)
+ __real__ res = 1 / __real__ x;
+ else if (M_FABS (__real__ x) <= 1)
__real__ res = __real__ x / __imag__ x / __imag__ x;
else
{
- double h = __ieee754_hypot (__real__ x / 2.0, __imag__ x / 2.0);
- __real__ res = __real__ x / h / h / 4.0;
+ FLOAT h = M_HYPOT (__real__ x / 2, __imag__ x / 2);
+ __real__ res = __real__ x / h / h / 4;
}
}
else
{
- if (fabs (__real__ x) == 1.0
- && fabs (__imag__ x) < DBL_EPSILON * DBL_EPSILON)
- __real__ res = (__copysign (0.5, __real__ x)
- * (M_LN2 - __ieee754_log (fabs (__imag__ x))));
+ if (M_FABS (__real__ x) == 1
+ && M_FABS (__imag__ x) < M_EPSILON * M_EPSILON)
+ __real__ res = (M_COPYSIGN (M_LIT (0.5), __real__ x)
+ * ((FLOAT) M_MLIT (M_LN2)
+ - M_LOG (M_FABS (__imag__ x))));
else
{
- double i2 = 0.0;
- if (fabs (__imag__ x) >= DBL_EPSILON * DBL_EPSILON)
+ FLOAT i2 = 0;
+ if (M_FABS (__imag__ x) >= M_EPSILON * M_EPSILON)
i2 = __imag__ x * __imag__ x;
- double num = 1.0 + __real__ x;
+ FLOAT num = 1 + __real__ x;
num = i2 + num * num;
- double den = 1.0 - __real__ x;
+ FLOAT den = 1 - __real__ x;
den = i2 + den * den;
- double f = num / den;
- if (f < 0.5)
- __real__ res = 0.25 * __ieee754_log (f);
+ FLOAT f = num / den;
+ if (f < M_LIT (0.5))
+ __real__ res = M_LIT (0.25) * M_LOG (f);
else
{
- num = 4.0 * __real__ x;
- __real__ res = 0.25 * __log1p (num / den);
+ num = 4 * __real__ x;
+ __real__ res = M_LIT (0.25) * M_LOG1P (num / den);
}
}
- double absx, absy, den;
+ FLOAT absx, absy, den;
- absx = fabs (__real__ x);
- absy = fabs (__imag__ x);
+ absx = M_FABS (__real__ x);
+ absy = M_FABS (__imag__ x);
if (absx < absy)
{
- double t = absx;
+ FLOAT t = absx;
absx = absy;
absy = t;
}
- if (absy < DBL_EPSILON / 2.0)
+ if (absy < M_EPSILON / 2)
{
- den = (1.0 - absx) * (1.0 + absx);
- if (den == -0.0)
- den = 0.0;
+ den = (1 - absx) * (1 + absx);
+ if (den == 0)
+ den = 0;
}
- else if (absx >= 1.0)
- den = (1.0 - absx) * (1.0 + absx) - absy * absy;
- else if (absx >= 0.75 || absy >= 0.5)
- den = -__x2y2m1 (absx, absy);
+ 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 = (1.0 - absx) * (1.0 + absx) - absy * absy;
+ den = (1 - absx) * (1 + absx) - absy * absy;
- __imag__ res = 0.5 * __ieee754_atan2 (2.0 * __imag__ x, den);
+ __imag__ res = M_LIT (0.5) * M_ATAN2 (2 * __imag__ x, den);
}
math_check_force_underflow_complex (res);
return res;
}
-weak_alias (__catanh, catanh)
-#ifdef NO_LONG_DOUBLE
-strong_alias (__catanh, __catanhl)
-weak_alias (__catanh, catanhl)
+
+declare_mgen_alias (__catanh, catanh)
+
+#if M_LIBM_NEED_COMPAT (catanh)
+declare_mgen_libm_compat (__catanh, catanh)
#endif
+++ /dev/null
-/* Return arc hyperbole tangent for float value.
- 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 <math.h>
-#include <math_private.h>
-#include <float.h>
-
-__complex__ float
-__catanhf (__complex__ float x)
-{
- __complex__ float res;
- int rcls = fpclassify (__real__ x);
- int icls = fpclassify (__imag__ x);
-
- if (__glibc_unlikely (rcls <= FP_INFINITE || icls <= FP_INFINITE))
- {
- if (icls == FP_INFINITE)
- {
- __real__ res = __copysignf (0.0, __real__ x);
- __imag__ res = __copysignf (M_PI_2, __imag__ x);
- }
- else if (rcls == FP_INFINITE || rcls == FP_ZERO)
- {
- __real__ res = __copysignf (0.0, __real__ x);
- if (icls >= FP_ZERO)
- __imag__ res = __copysignf (M_PI_2, __imag__ x);
- else
- __imag__ res = __nanf ("");
- }
- else
- {
- __real__ res = __nanf ("");
- __imag__ res = __nanf ("");
- }
- }
- else if (__glibc_unlikely (rcls == FP_ZERO && icls == FP_ZERO))
- {
- res = x;
- }
- else
- {
- if (fabsf (__real__ x) >= 16.0f / FLT_EPSILON
- || fabsf (__imag__ x) >= 16.0f / FLT_EPSILON)
- {
- __imag__ res = __copysignf ((float) M_PI_2, __imag__ x);
- if (fabsf (__imag__ x) <= 1.0f)
- __real__ res = 1.0f / __real__ x;
- else if (fabsf (__real__ x) <= 1.0f)
- __real__ res = __real__ x / __imag__ x / __imag__ x;
- else
- {
- float h = __ieee754_hypotf (__real__ x / 2.0f,
- __imag__ x / 2.0f);
- __real__ res = __real__ x / h / h / 4.0f;
- }
- }
- else
- {
- if (fabsf (__real__ x) == 1.0f
- && fabsf (__imag__ x) < FLT_EPSILON * FLT_EPSILON)
- __real__ res = (__copysignf (0.5f, __real__ x)
- * ((float) M_LN2
- - __ieee754_logf (fabsf (__imag__ x))));
- else
- {
- float i2 = 0.0f;
- if (fabsf (__imag__ x) >= FLT_EPSILON * FLT_EPSILON)
- i2 = __imag__ x * __imag__ x;
-
- float num = 1.0f + __real__ x;
- num = i2 + num * num;
-
- float den = 1.0f - __real__ x;
- den = i2 + den * den;
-
- float f = num / den;
- if (f < 0.5f)
- __real__ res = 0.25f * __ieee754_logf (f);
- else
- {
- num = 4.0f * __real__ x;
- __real__ res = 0.25f * __log1pf (num / den);
- }
- }
-
- float absx, absy, den;
-
- absx = fabsf (__real__ x);
- absy = fabsf (__imag__ x);
- if (absx < absy)
- {
- float t = absx;
- absx = absy;
- absy = t;
- }
-
- if (absy < FLT_EPSILON / 2.0f)
- {
- den = (1.0f - absx) * (1.0f + absx);
- if (den == -0.0f)
- den = 0.0f;
- }
- else if (absx >= 1.0f)
- den = (1.0f - absx) * (1.0f + absx) - absy * absy;
- else if (absx >= 0.75f || absy >= 0.5f)
- den = -__x2y2m1f (absx, absy);
- else
- den = (1.0f - absx) * (1.0f + absx) - absy * absy;
-
- __imag__ res = 0.5f * __ieee754_atan2f (2.0f * __imag__ x, den);
- }
-
- math_check_force_underflow_complex (res);
- }
-
- return res;
-}
-#ifndef __catanhf
-weak_alias (__catanhf, catanhf)
-#endif
+++ /dev/null
-/* Return arc hyperbole tangent for long double value.
- 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 <math.h>
-#include <math_private.h>
-#include <float.h>
-
-/* To avoid spurious overflows, use this definition to treat IBM long
- double as approximating an IEEE-style format. */
-#if LDBL_MANT_DIG == 106
-# undef LDBL_EPSILON
-# define LDBL_EPSILON 0x1p-106L
-#endif
-
-__complex__ long double
-__catanhl (__complex__ long double x)
-{
- __complex__ long double res;
- int rcls = fpclassify (__real__ x);
- int icls = fpclassify (__imag__ x);
-
- if (__glibc_unlikely (rcls <= FP_INFINITE || icls <= FP_INFINITE))
- {
- if (icls == FP_INFINITE)
- {
- __real__ res = __copysignl (0.0, __real__ x);
- __imag__ res = __copysignl (M_PI_2l, __imag__ x);
- }
- else if (rcls == FP_INFINITE || rcls == FP_ZERO)
- {
- __real__ res = __copysignl (0.0, __real__ x);
- if (icls >= FP_ZERO)
- __imag__ res = __copysignl (M_PI_2l, __imag__ x);
- else
- __imag__ res = __nanl ("");
- }
- else
- {
- __real__ res = __nanl ("");
- __imag__ res = __nanl ("");
- }
- }
- else if (__glibc_unlikely (rcls == FP_ZERO && icls == FP_ZERO))
- {
- res = x;
- }
- else
- {
- if (fabsl (__real__ x) >= 16.0L / LDBL_EPSILON
- || fabsl (__imag__ x) >= 16.0L / LDBL_EPSILON)
- {
- __imag__ res = __copysignl (M_PI_2l, __imag__ x);
- if (fabsl (__imag__ x) <= 1.0L)
- __real__ res = 1.0L / __real__ x;
- else if (fabsl (__real__ x) <= 1.0L)
- __real__ res = __real__ x / __imag__ x / __imag__ x;
- else
- {
- long double h = __ieee754_hypotl (__real__ x / 2.0L,
- __imag__ x / 2.0L);
- __real__ res = __real__ x / h / h / 4.0L;
- }
- }
- else
- {
- if (fabsl (__real__ x) == 1.0L
- && fabsl (__imag__ x) < LDBL_EPSILON * LDBL_EPSILON)
- __real__ res = (__copysignl (0.5L, __real__ x)
- * (M_LN2l - __ieee754_logl (fabsl (__imag__ x))));
- else
- {
- long double i2 = 0.0;
- if (fabsl (__imag__ x) >= LDBL_EPSILON * LDBL_EPSILON)
- i2 = __imag__ x * __imag__ x;
-
- long double num = 1.0L + __real__ x;
- num = i2 + num * num;
-
- long double den = 1.0L - __real__ x;
- den = i2 + den * den;
-
- long double f = num / den;
- if (f < 0.5L)
- __real__ res = 0.25L * __ieee754_logl (f);
- else
- {
- num = 4.0L * __real__ x;
- __real__ res = 0.25L * __log1pl (num / den);
- }
- }
-
- long double absx, absy, den;
-
- absx = fabsl (__real__ x);
- absy = fabsl (__imag__ x);
- if (absx < absy)
- {
- long double t = absx;
- absx = absy;
- absy = t;
- }
-
- if (absy < LDBL_EPSILON / 2.0L)
- {
- den = (1.0L - absx) * (1.0L + absx);
- if (den == -0.0L)
- den = 0.0L;
- }
- else if (absx >= 1.0L)
- den = (1.0L - absx) * (1.0L + absx) - absy * absy;
- else if (absx >= 0.75L || absy >= 0.5L)
- den = -__x2y2m1l (absx, absy);
- else
- den = (1.0L - absx) * (1.0L + absx) - absy * absy;
-
- __imag__ res = 0.5L * __ieee754_atan2l (2.0L * __imag__ x, den);
- }
-
- math_check_force_underflow_complex (res);
- }
-
- return res;
-}
-weak_alias (__catanhl, catanhl)
+++ /dev/null
-/* Return arc tangent of complex long double value.
- 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 <math.h>
-#include <math_private.h>
-#include <float.h>
-
-/* To avoid spurious overflows, use this definition to treat IBM long
- double as approximating an IEEE-style format. */
-#if LDBL_MANT_DIG == 106
-# undef LDBL_EPSILON
-# define LDBL_EPSILON 0x1p-106L
-#endif
-
-__complex__ long double
-__catanl (__complex__ long double x)
-{
- __complex__ long double 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 = __copysignl (M_PI_2l, __real__ x);
- __imag__ res = __copysignl (0.0, __imag__ x);
- }
- else if (icls == FP_INFINITE)
- {
- if (rcls >= FP_ZERO)
- __real__ res = __copysignl (M_PI_2l, __real__ x);
- else
- __real__ res = __nanl ("");
- __imag__ res = __copysignl (0.0, __imag__ x);
- }
- else if (icls == FP_ZERO || icls == FP_INFINITE)
- {
- __real__ res = __nanl ("");
- __imag__ res = __copysignl (0.0, __imag__ x);
- }
- else
- {
- __real__ res = __nanl ("");
- __imag__ res = __nanl ("");
- }
- }
- else if (__glibc_unlikely (rcls == FP_ZERO && icls == FP_ZERO))
- {
- res = x;
- }
- else
- {
- if (fabsl (__real__ x) >= 16.0L / LDBL_EPSILON
- || fabsl (__imag__ x) >= 16.0L / LDBL_EPSILON)
- {
- __real__ res = __copysignl (M_PI_2l, __real__ x);
- if (fabsl (__real__ x) <= 1.0L)
- __imag__ res = 1.0L / __imag__ x;
- else if (fabsl (__imag__ x) <= 1.0L)
- __imag__ res = __imag__ x / __real__ x / __real__ x;
- else
- {
- long double h = __ieee754_hypotl (__real__ x / 2.0L,
- __imag__ x / 2.0L);
- __imag__ res = __imag__ x / h / h / 4.0L;
- }
- }
- else
- {
- long double den, absx, absy;
-
- absx = fabsl (__real__ x);
- absy = fabsl (__imag__ x);
- if (absx < absy)
- {
- long double t = absx;
- absx = absy;
- absy = t;
- }
-
- if (absy < LDBL_EPSILON / 2.0L)
- {
- den = (1.0L - absx) * (1.0L + absx);
- if (den == -0.0L)
- den = 0.0L;
- }
- else if (absx >= 1.0L)
- den = (1.0L - absx) * (1.0L + absx) - absy * absy;
- else if (absx >= 0.75L || absy >= 0.5L)
- den = -__x2y2m1l (absx, absy);
- else
- den = (1.0L - absx) * (1.0L + absx) - absy * absy;
-
- __real__ res = 0.5L * __ieee754_atan2l (2.0L * __real__ x, den);
-
- if (fabsl (__imag__ x) == 1.0L
- && fabsl (__real__ x) < LDBL_EPSILON * LDBL_EPSILON)
- __imag__ res = (__copysignl (0.5L, __imag__ x)
- * (M_LN2l - __ieee754_logl (fabsl (__real__ x))));
- else
- {
- long double r2 = 0.0L, num, f;
-
- if (fabsl (__real__ x) >= LDBL_EPSILON * LDBL_EPSILON)
- r2 = __real__ x * __real__ x;
-
- num = __imag__ x + 1.0L;
- num = r2 + num * num;
-
- den = __imag__ x - 1.0L;
- den = r2 + den * den;
-
- f = num / den;
- if (f < 0.5L)
- __imag__ res = 0.25L * __ieee754_logl (f);
- else
- {
- num = 4.0L * __imag__ x;
- __imag__ res = 0.25L * __log1pl (num / den);
- }
- }
- }
-
- math_check_force_underflow_complex (res);
- }
-
- return res;
-}
-weak_alias (__catanl, catanl)
+++ /dev/null
-/* Complex tangent function 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
-__ctan (__complex__ double x)
-{
- __complex__ double res;
-
- if (__glibc_unlikely (!isfinite (__real__ x) || !isfinite (__imag__ x)))
- {
- if (isinf (__imag__ x))
- {
- if (isfinite (__real__ x) && fabs (__real__ x) > 1.0)
- {
- double sinrx, cosrx;
- __sincos (__real__ x, &sinrx, &cosrx);
- __real__ res = __copysign (0.0, sinrx * cosrx);
- }
- else
- __real__ res = __copysign (0.0, __real__ x);
- __imag__ res = __copysign (1.0, __imag__ x);
- }
- else if (__real__ x == 0.0)
- {
- res = x;
- }
- else
- {
- __real__ res = __nan ("");
- __imag__ res = __nan ("");
-
- if (isinf (__real__ x))
- feraiseexcept (FE_INVALID);
- }
- }
- else
- {
- double sinrx, cosrx;
- double den;
- const int t = (int) ((DBL_MAX_EXP - 1) * M_LN2 / 2);
-
- /* 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 (__glibc_likely (fabs (__real__ x) > DBL_MIN))
- {
- __sincos (__real__ x, &sinrx, &cosrx);
- }
- else
- {
- sinrx = __real__ x;
- cosrx = 1.0;
- }
-
- if (fabs (__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). */
- double exp_2t = __ieee754_exp (2 * t);
-
- __imag__ res = __copysign (1.0, __imag__ x);
- __real__ res = 4 * sinrx * cosrx;
- __imag__ x = fabs (__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 /= __ieee754_exp (2 * __imag__ x);
- }
- else
- {
- double sinhix, coshix;
- if (fabs (__imag__ x) > DBL_MIN)
- {
- sinhix = __ieee754_sinh (__imag__ x);
- coshix = __ieee754_cosh (__imag__ x);
- }
- else
- {
- sinhix = __imag__ x;
- coshix = 1.0;
- }
-
- if (fabs (sinhix) > fabs (cosrx) * DBL_EPSILON)
- den = cosrx * cosrx + sinhix * sinhix;
- else
- den = cosrx * cosrx;
- __real__ res = sinrx * cosrx / den;
- __imag__ res = sinhix * coshix / den;
- }
- math_check_force_underflow_complex (res);
- }
-
- return res;
-}
-weak_alias (__ctan, ctan)
-#ifdef NO_LONG_DOUBLE
-strong_alias (__ctan, __ctanl)
-weak_alias (__ctan, ctanl)
-#endif
-/* Complex tangent function for double.
+/* Complex tangent function for a complex float type.
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.
#include <math_private.h>
#include <float.h>
-__complex__ double
-__ctan (__complex__ double x)
+CFLOAT
+M_DECL_FUNC (__ctan) (CFLOAT x)
{
- __complex__ double res;
+ CFLOAT res;
if (__glibc_unlikely (!isfinite (__real__ x) || !isfinite (__imag__ x)))
{
if (isinf (__imag__ x))
{
- if (isfinite (__real__ x) && fabs (__real__ x) > 1.0)
+ if (isfinite (__real__ x) && M_FABS (__real__ x) > 1)
{
- double sinrx, cosrx;
- __sincos (__real__ x, &sinrx, &cosrx);
- __real__ res = __copysign (0.0, sinrx * cosrx);
+ FLOAT sinrx, cosrx;
+ M_SINCOS (__real__ x, &sinrx, &cosrx);
+ __real__ res = M_COPYSIGN (0, sinrx * cosrx);
}
else
- __real__ res = __copysign (0.0, __real__ x);
- __imag__ res = __copysign (1.0, __imag__ x);
+ __real__ res = M_COPYSIGN (0, __real__ x);
+ __imag__ res = M_COPYSIGN (1, __imag__ x);
}
- else if (__real__ x == 0.0)
+ else if (__real__ x == 0)
{
res = x;
}
else
{
- __real__ res = __nan ("");
- __imag__ res = __nan ("");
+ __real__ res = M_NAN;
+ __imag__ res = M_NAN;
if (isinf (__real__ x))
feraiseexcept (FE_INVALID);
}
else
{
- double sinrx, cosrx;
- double den;
- const int t = (int) ((DBL_MAX_EXP - 1) * M_LN2 / 2);
+ FLOAT sinrx, cosrx;
+ FLOAT den;
+ const int t = (int) ((M_MAX_EXP - 1) * M_MLIT (M_LN2) / 2);
/* 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 (__glibc_likely (fabs (__real__ x) > DBL_MIN))
+ if (__glibc_likely (M_FABS (__real__ x) > M_MIN))
{
- __sincos (__real__ x, &sinrx, &cosrx);
+ M_SINCOS (__real__ x, &sinrx, &cosrx);
}
else
{
sinrx = __real__ x;
- cosrx = 1.0;
+ cosrx = 1;
}
- if (fabs (__imag__ x) > t)
+ if (M_FABS (__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). */
- double exp_2t = __ieee754_exp (2 * t);
+ FLOAT exp_2t = M_EXP (2 * t);
- __imag__ res = __copysign (1.0, __imag__ x);
+ __imag__ res = M_COPYSIGN (1, __imag__ x);
__real__ res = 4 * sinrx * cosrx;
- __imag__ x = fabs (__imag__ x);
+ __imag__ x = M_FABS (__imag__ x);
__imag__ x -= t;
__real__ res /= exp_2t;
if (__imag__ x > t)
__real__ res /= exp_2t;
}
else
- __real__ res /= __ieee754_exp (2 * __imag__ x);
+ __real__ res /= M_EXP (2 * __imag__ x);
}
else
{
- double sinhix, coshix;
- if (fabs (__imag__ x) > DBL_MIN)
+ FLOAT sinhix, coshix;
+ if (M_FABS (__imag__ x) > M_MIN)
{
- sinhix = __ieee754_sinh (__imag__ x);
- coshix = __ieee754_cosh (__imag__ x);
+ sinhix = M_SINH (__imag__ x);
+ coshix = M_COSH (__imag__ x);
}
else
{
sinhix = __imag__ x;
- coshix = 1.0;
+ coshix = 1;
}
- if (fabs (sinhix) > fabs (cosrx) * DBL_EPSILON)
+ if (M_FABS (sinhix) > M_FABS (cosrx) * M_EPSILON)
den = cosrx * cosrx + sinhix * sinhix;
else
den = cosrx * cosrx;
return res;
}
-weak_alias (__ctan, ctan)
-#ifdef NO_LONG_DOUBLE
-strong_alias (__ctan, __ctanl)
-weak_alias (__ctan, ctanl)
+
+declare_mgen_alias (__ctan, ctan)
+
+#if M_LIBM_NEED_COMPAT (ctan)
+declare_mgen_libm_compat (__ctan, ctan)
#endif
+++ /dev/null
-/* Complex tangent function for float.
- 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__ float
-__ctanf (__complex__ float x)
-{
- __complex__ float res;
-
- if (__glibc_unlikely (!isfinite (__real__ x) || !isfinite (__imag__ x)))
- {
- if (isinf (__imag__ x))
- {
- if (isfinite (__real__ x) && fabsf (__real__ x) > 1.0f)
- {
- float sinrx, cosrx;
- __sincosf (__real__ x, &sinrx, &cosrx);
- __real__ res = __copysignf (0.0f, sinrx * cosrx);
- }
- else
- __real__ res = __copysignf (0.0, __real__ x);
- __imag__ res = __copysignf (1.0, __imag__ x);
- }
- else if (__real__ x == 0.0)
- {
- res = x;
- }
- else
- {
- __real__ res = __nanf ("");
- __imag__ res = __nanf ("");
-
- if (isinf (__real__ x))
- feraiseexcept (FE_INVALID);
- }
- }
- else
- {
- float sinrx, cosrx;
- float den;
- const int t = (int) ((FLT_MAX_EXP - 1) * M_LN2 / 2);
-
- /* 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 (__glibc_likely (fabsf (__real__ x) > FLT_MIN))
- {
- __sincosf (__real__ x, &sinrx, &cosrx);
- }
- else
- {
- sinrx = __real__ x;
- cosrx = 1.0f;
- }
-
- if (fabsf (__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). */
- float exp_2t = __ieee754_expf (2 * t);
-
- __imag__ res = __copysignf (1.0, __imag__ x);
- __real__ res = 4 * sinrx * cosrx;
- __imag__ x = fabsf (__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 /= __ieee754_expf (2 * __imag__ x);
- }
- else
- {
- float sinhix, coshix;
- if (fabsf (__imag__ x) > FLT_MIN)
- {
- sinhix = __ieee754_sinhf (__imag__ x);
- coshix = __ieee754_coshf (__imag__ x);
- }
- else
- {
- sinhix = __imag__ x;
- coshix = 1.0f;
- }
-
- if (fabsf (sinhix) > fabsf (cosrx) * FLT_EPSILON)
- den = cosrx * cosrx + sinhix * sinhix;
- else
- den = cosrx * cosrx;
- __real__ res = sinrx * cosrx / den;
- __imag__ res = sinhix * coshix / den;
- }
- math_check_force_underflow_complex (res);
- }
-
- return res;
-}
-#ifndef __ctanf
-weak_alias (__ctanf, ctanf)
-#endif
+++ /dev/null
-/* 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
-/* Complex hyperbole tangent for double.
+/* Complex hyperbolic tangent for float types.
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.
#include <math_private.h>
#include <float.h>
-__complex__ double
-__ctanh (__complex__ double x)
+CFLOAT
+M_DECL_FUNC (__ctanh) (CFLOAT x)
{
- __complex__ double res;
+ CFLOAT 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)
+ __real__ res = M_COPYSIGN (1, __real__ x);
+ if (isfinite (__imag__ x) && M_FABS (__imag__ x) > 1)
{
- double sinix, cosix;
- __sincos (__imag__ x, &sinix, &cosix);
- __imag__ res = __copysign (0.0, sinix * cosix);
+ FLOAT sinix, cosix;
+ M_SINCOS (__imag__ x, &sinix, &cosix);
+ __imag__ res = M_COPYSIGN (0, sinix * cosix);
}
else
- __imag__ res = __copysign (0.0, __imag__ x);
+ __imag__ res = M_COPYSIGN (0, __imag__ x);
}
- else if (__imag__ x == 0.0)
+ else if (__imag__ x == 0)
{
res = x;
}
else
{
- __real__ res = __nan ("");
- __imag__ res = __nan ("");
+ __real__ res = M_NAN;
+ __imag__ res = M_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);
+ FLOAT sinix, cosix;
+ FLOAT den;
+ const int t = (int) ((M_MAX_EXP - 1) * M_MLIT (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))
+ if (__glibc_likely (M_FABS (__imag__ x) > M_MIN))
{
- __sincos (__imag__ x, &sinix, &cosix);
+ M_SINCOS (__imag__ x, &sinix, &cosix);
}
else
{
sinix = __imag__ x;
- cosix = 1.0;
+ cosix = 1;
}
- if (fabs (__real__ x) > t)
+ if (M_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);
+ FLOAT exp_2t = M_EXP (2 * t);
- __real__ res = __copysign (1.0, __real__ x);
+ __real__ res = M_COPYSIGN (1, __real__ x);
__imag__ res = 4 * sinix * cosix;
- __real__ x = fabs (__real__ x);
+ __real__ x = M_FABS (__real__ x);
__real__ x -= t;
__imag__ res /= exp_2t;
if (__real__ x > t)
__imag__ res /= exp_2t;
}
else
- __imag__ res /= __ieee754_exp (2 * __real__ x);
+ __imag__ res /= M_EXP (2 * __real__ x);
}
else
{
- double sinhrx, coshrx;
- if (fabs (__real__ x) > DBL_MIN)
+ FLOAT sinhrx, coshrx;
+ if (M_FABS (__real__ x) > M_MIN)
{
- sinhrx = __ieee754_sinh (__real__ x);
- coshrx = __ieee754_cosh (__real__ x);
+ sinhrx = M_SINH (__real__ x);
+ coshrx = M_COSH (__real__ x);
}
else
{
sinhrx = __real__ x;
- coshrx = 1.0;
+ coshrx = 1;
}
- if (fabs (sinhrx) > fabs (cosix) * DBL_EPSILON)
+ if (M_FABS (sinhrx) > M_FABS (cosix) * M_EPSILON)
den = sinhrx * sinhrx + cosix * cosix;
else
den = cosix * cosix;
return res;
}
-weak_alias (__ctanh, ctanh)
-#ifdef NO_LONG_DOUBLE
-strong_alias (__ctanh, __ctanhl)
-weak_alias (__ctanh, ctanhl)
+
+declare_mgen_alias (__ctanh, ctanh)
+
+#if M_LIBM_NEED_COMPAT (ctanh)
+declare_mgen_libm_compat (__ctanh, ctanh)
#endif
+++ /dev/null
-/* Complex hyperbole tangent for float.
- 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__ float
-__ctanhf (__complex__ float x)
-{
- __complex__ float res;
-
- if (__glibc_unlikely (!isfinite (__real__ x) || !isfinite (__imag__ x)))
- {
- if (isinf (__real__ x))
- {
- __real__ res = __copysignf (1.0, __real__ x);
- if (isfinite (__imag__ x) && fabsf (__imag__ x) > 1.0f)
- {
- float sinix, cosix;
- __sincosf (__imag__ x, &sinix, &cosix);
- __imag__ res = __copysignf (0.0f, sinix * cosix);
- }
- else
- __imag__ res = __copysignf (0.0, __imag__ x);
- }
- else if (__imag__ x == 0.0)
- {
- res = x;
- }
- else
- {
- __real__ res = __nanf ("");
- __imag__ res = __nanf ("");
-
- if (isinf (__imag__ x))
- feraiseexcept (FE_INVALID);
- }
- }
- else
- {
- float sinix, cosix;
- float den;
- const int t = (int) ((FLT_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 (fabsf (__imag__ x) > FLT_MIN))
- {
- __sincosf (__imag__ x, &sinix, &cosix);
- }
- else
- {
- sinix = __imag__ x;
- cosix = 1.0f;
- }
-
- if (fabsf (__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). */
- float exp_2t = __ieee754_expf (2 * t);
-
- __real__ res = __copysignf (1.0, __real__ x);
- __imag__ res = 4 * sinix * cosix;
- __real__ x = fabsf (__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_expf (2 * __real__ x);
- }
- else
- {
- float sinhrx, coshrx;
- if (fabsf (__real__ x) > FLT_MIN)
- {
- sinhrx = __ieee754_sinhf (__real__ x);
- coshrx = __ieee754_coshf (__real__ x);
- }
- else
- {
- sinhrx = __real__ x;
- coshrx = 1.0f;
- }
-
- if (fabsf (sinhrx) > fabsf (cosix) * FLT_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;
-}
-#ifndef __ctanhf
-weak_alias (__ctanhf, ctanhf)
-#endif
+++ /dev/null
-/* Complex hyperbole tangent for long 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>
-
-/* To avoid spurious underflows, use this definition to treat IBM long
- double as approximating an IEEE-style format. */
-#if LDBL_MANT_DIG == 106
-# undef LDBL_EPSILON
-# define LDBL_EPSILON 0x1p-106L
-#endif
-
-__complex__ long double
-__ctanhl (__complex__ long double x)
-{
- __complex__ long double res;
-
- if (__glibc_unlikely (!isfinite (__real__ x) || !isfinite (__imag__ x)))
- {
- if (isinf (__real__ x))
- {
- __real__ res = __copysignl (1.0, __real__ x);
- if (isfinite (__imag__ x) && fabsl (__imag__ x) > 1.0L)
- {
- long double sinix, cosix;
- __sincosl (__imag__ x, &sinix, &cosix);
- __imag__ res = __copysignl (0.0L, sinix * cosix);
- }
- else
- __imag__ res = __copysignl (0.0, __imag__ x);
- }
- else if (__imag__ x == 0.0)
- {
- res = x;
- }
- else
- {
- __real__ res = __nanl ("");
- __imag__ res = __nanl ("");
-
- if (isinf (__imag__ x))
- feraiseexcept (FE_INVALID);
- }
- }
- else
- {
- long double sinix, cosix;
- long double den;
- const int t = (int) ((LDBL_MAX_EXP - 1) * M_LN2l / 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 (fabsl (__imag__ x) > LDBL_MIN))
- {
- __sincosl (__imag__ x, &sinix, &cosix);
- }
- else
- {
- sinix = __imag__ x;
- cosix = 1.0;
- }
-
- if (fabsl (__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). */
- long double exp_2t = __ieee754_expl (2 * t);
-
- __real__ res = __copysignl (1.0, __real__ x);
- __imag__ res = 4 * sinix * cosix;
- __real__ x = fabsl (__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_expl (2 * __real__ x);
- }
- else
- {
- long double sinhrx, coshrx;
- if (fabsl (__real__ x) > LDBL_MIN)
- {
- sinhrx = __ieee754_sinhl (__real__ x);
- coshrx = __ieee754_coshl (__real__ x);
- }
- else
- {
- sinhrx = __real__ x;
- coshrx = 1.0L;
- }
-
- if (fabsl (sinhrx) > fabsl (cosix) * LDBL_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 (__ctanhl, ctanhl)
+++ /dev/null
-/* Complex tangent function for long 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>
-
-/* To avoid spurious underflows, use this definition to treat IBM long
- double as approximating an IEEE-style format. */
-#if LDBL_MANT_DIG == 106
-# undef LDBL_EPSILON
-# define LDBL_EPSILON 0x1p-106L
-#endif
-
-__complex__ long double
-__ctanl (__complex__ long double x)
-{
- __complex__ long double res;
-
- if (__glibc_unlikely (!isfinite (__real__ x) || !isfinite (__imag__ x)))
- {
- if (isinf (__imag__ x))
- {
- if (isfinite (__real__ x) && fabsl (__real__ x) > 1.0L)
- {
- long double sinrx, cosrx;
- __sincosl (__real__ x, &sinrx, &cosrx);
- __real__ res = __copysignl (0.0L, sinrx * cosrx);
- }
- else
- __real__ res = __copysignl (0.0, __real__ x);
- __imag__ res = __copysignl (1.0, __imag__ x);
- }
- else if (__real__ x == 0.0)
- {
- res = x;
- }
- else
- {
- __real__ res = __nanl ("");
- __imag__ res = __nanl ("");
-
- if (isinf (__real__ x))
- feraiseexcept (FE_INVALID);
- }
- }
- else
- {
- long double sinrx, cosrx;
- long double den;
- const int t = (int) ((LDBL_MAX_EXP - 1) * M_LN2l / 2);
-
- /* 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 (__glibc_likely (fabsl (__real__ x) > LDBL_MIN))
- {
- __sincosl (__real__ x, &sinrx, &cosrx);
- }
- else
- {
- sinrx = __real__ x;
- cosrx = 1.0;
- }
-
- if (fabsl (__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). */
- long double exp_2t = __ieee754_expl (2 * t);
-
- __imag__ res = __copysignl (1.0, __imag__ x);
- __real__ res = 4 * sinrx * cosrx;
- __imag__ x = fabsl (__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 /= __ieee754_expl (2 * __imag__ x);
- }
- else
- {
- long double sinhix, coshix;
- if (fabsl (__imag__ x) > LDBL_MIN)
- {
- sinhix = __ieee754_sinhl (__imag__ x);
- coshix = __ieee754_coshl (__imag__ x);
- }
- else
- {
- sinhix = __imag__ x;
- coshix = 1.0L;
- }
-
- if (fabsl (sinhix) > fabsl (cosrx) * LDBL_EPSILON)
- den = cosrx * cosrx + sinhix * sinhix;
- else
- den = cosrx * cosrx;
- __real__ res = sinrx * cosrx / den;
- __imag__ res = sinhix * coshix / den;
- }
- math_check_force_underflow_complex (res);
- }
-
- return res;
-}
-weak_alias (__ctanl, ctanl)
#undef __catanf
#undef catanf
-#define __catanf internal_catanf
static _Complex float internal_catanf (_Complex float x);
-#include <math/s_catanf.c>
-#include "cfloat-compat.h"
+#define M_DECL_FUNC(f) internal_catanf
+#include <math-type-macros-float.h>
-#undef __catanf
+/* Disable any aliasing from base template. */
+#undef declare_mgen_alias
+#define declare_mgen_alias(__to, __from)
+
+#include <math/s_catan_template.c>
+#include "cfloat-compat.h"
c1_cfloat_rettype
__c1_catanf (c1_cfloat_decl (x))
#undef __catanhf
#undef catanhf
-#define __catanhf internal_catanhf
static _Complex float internal_catanhf (_Complex float x);
-#include <math/s_catanhf.c>
-#include "cfloat-compat.h"
+#define M_DECL_FUNC(f) internal_catanhf
+#include <math-type-macros-float.h>
-#undef __catanhf
+/* Disable any aliasing from base template. */
+#undef declare_mgen_alias
+#define declare_mgen_alias(__to, __from)
+
+#include <math/s_catanh_template.c>
+#include "cfloat-compat.h"
c1_cfloat_rettype
__c1_catanhf (c1_cfloat_decl (x))
#undef __ctanf
#undef ctanf
-#define __ctanf internal_ctanf
static _Complex float internal_ctanf (_Complex float x);
-#include <math/s_ctanf.c>
-#include "cfloat-compat.h"
+#define M_DECL_FUNC(f) internal_ctanf
+#include <math-type-macros-float.h>
-#undef __ctanf
+/* Disable any aliasing from base template. */
+#undef declare_mgen_alias
+#define declare_mgen_alias(__to, __from)
+
+#include <math/s_ctan_template.c>
+#include "cfloat-compat.h"
c1_cfloat_rettype
__c1_ctanf (c1_cfloat_decl (x))
#undef __ctanhf
#undef ctanhf
-#define __ctanhf internal_ctanhf
static _Complex float internal_ctanhf (_Complex float x);
-#include <math/s_ctanhf.c>
-#include "cfloat-compat.h"
+#define M_DECL_FUNC(f) internal_ctanhf
+#include <math-type-macros-float.h>
-#undef __ctanhf
+/* Disable any aliasing from base template. */
+#undef declare_mgen_alias
+#define declare_mgen_alias(__to, __from)
+
+#include <math/s_ctanh_template.c>
+#include "cfloat-compat.h"
c1_cfloat_rettype
__c1_ctanhf (c1_cfloat_decl (x))
+++ /dev/null
-#include <complex.h>
-#include <math_ldbl_opt.h>
-#include <math/s_catan.c>
-#if LONG_DOUBLE_COMPAT(libm, GLIBC_2_1)
-compat_symbol (libm, __catan, catanl, GLIBC_2_1);
-#endif
+++ /dev/null
-#include <complex.h>
-#include <math_ldbl_opt.h>
-#include <math/s_catanh.c>
-#if LONG_DOUBLE_COMPAT(libm, GLIBC_2_1)
-compat_symbol (libm, __catanh, catanhl, GLIBC_2_1);
-#endif
+++ /dev/null
-#include <complex.h>
-#include <math_ldbl_opt.h>
-#undef weak_alias
-#define weak_alias(n,a)
-#include <math/s_catanhl.c>
-long_double_symbol (libm, __catanhl, catanhl);
+++ /dev/null
-#include <complex.h>
-#include <math_ldbl_opt.h>
-#undef weak_alias
-#define weak_alias(n,a)
-#include <math/s_catanl.c>
-long_double_symbol (libm, __catanl, catanl);
+++ /dev/null
-#include <complex.h>
-#include <math_ldbl_opt.h>
-#include <math/s_ctan.c>
-#if LONG_DOUBLE_COMPAT(libm, GLIBC_2_1)
-compat_symbol (libm, __ctan, ctanl, GLIBC_2_1);
-#endif
+++ /dev/null
-#include <complex.h>
-#include <math_ldbl_opt.h>
-#include <math/s_ctanh.c>
-#if LONG_DOUBLE_COMPAT(libm, GLIBC_2_1)
-compat_symbol (libm, __ctanh, ctanhl, GLIBC_2_1);
-#endif
+++ /dev/null
-#include <complex.h>
-#include <math_ldbl_opt.h>
-#undef weak_alias
-#define weak_alias(n,a)
-#include <math/s_ctanhl.c>
-long_double_symbol (libm, __ctanhl, ctanhl);
+++ /dev/null
-#include <complex.h>
-#include <math_ldbl_opt.h>
-#undef weak_alias
-#define weak_alias(n,a)
-#include <math/s_ctanl.c>
-long_double_symbol (libm, __ctanl, ctanl);
git://sourceware.org / glibc.git / commitdiff