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[PATCH 5/6] Convert _Complex tangent functions to generated code
- From: "Paul E. Murphy" <murphyp at linux dot vnet dot ibm dot com>
- To: libc-alpha at sourceware dot org
- Date: Thu, 30 Jun 2016 17:20:41 -0500
- Subject: [PATCH 5/6] Convert _Complex tangent functions to generated code
- Authentication-results: sourceware.org; auth=none
- References: <cover dot 1467323999 dot git dot murphyp at linux dot vnet dot ibm dot com>
- References: <cover dot 1467323999 dot git dot murphyp at linux dot vnet dot ibm dot com>
This is fairly straight fowards. m68k overrides are
updated to use the framework, and thus are simplified
a bit.
This converts s_c{,a}tan{,h}{f,,l} into a single
templated file b_c{,a}tan{,h}.c with the exception
of alpha.
* math/Makefile (libm-gen-calls): Add
catan, catanh, ctan, ctanh
(libm-calls): Remove the above
* math/s_catan.c: Refactor into b_catan.c
* math/s_catanh.c: Refactor into b_catanh.c
* math/s_ctan.c: Refactor into b_ctan.c
* math/s_ctanh.c: Refactor into b_ctanh.c
* sysdeps/m68k/m680x0/fpu/s_ctanh.c: Refactor into ../b_ctanh.c
* math/b_catan.c: New file
* math/b_catanh.c: New file
* math/b_ctan.c: New file
* math/b_ctanh.c: New file
* 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/m68k/m680x0/fpu/s_ctanhf.c: Removed
* sysdeps/m68k/m680x0/fpu/s_ctanhl.c: Removed
* sysdeps/alpha/fpu/Makefile: Update to use template file
* sysdeps/alpha/fpu/s_catanf.c: Update to use template file
* sysdeps/alpha/fpu/s_catanhf.c: Update to use template file
* sysdeps/alpha/fpu/s_ctanf.c: Update to use template file
* sysdeps/alpha/fpu/s_ctanhf.c: Update to use template file
* sysdeps/ieee754/ldbl-opt/math-type-macros.h: Add compat
versions.
---
math/Makefile | 5 +-
math/b_catan.c | 146 +++++++++++++++++++++++++++
math/b_catanh.c | 140 ++++++++++++++++++++++++++
math/b_ctan.c | 130 ++++++++++++++++++++++++
math/b_ctanh.c | 130 ++++++++++++++++++++++++
math/s_catan.c | 143 ---------------------------
math/s_catanf.c | 143 ---------------------------
math/s_catanh.c | 137 --------------------------
math/s_catanhf.c | 137 --------------------------
math/s_catanhl.c | 141 --------------------------
math/s_catanl.c | 147 ----------------------------
math/s_ctan.c | 129 ------------------------
math/s_ctanf.c | 127 ------------------------
math/s_ctanh.c | 129 ------------------------
math/s_ctanhf.c | 127 ------------------------
math/s_ctanhl.c | 132 -------------------------
math/s_ctanl.c | 132 -------------------------
sysdeps/alpha/fpu/Makefile | 8 +-
sysdeps/alpha/fpu/s_catanf.c | 13 ++-
sysdeps/alpha/fpu/s_catanhf.c | 13 ++-
sysdeps/alpha/fpu/s_ctanf.c | 13 ++-
sysdeps/alpha/fpu/s_ctanhf.c | 13 ++-
sysdeps/ieee754/ldbl-opt/math-type-macros.h | 4 +
sysdeps/ieee754/ldbl-opt/s_catan.c | 6 --
sysdeps/ieee754/ldbl-opt/s_catanh.c | 6 --
sysdeps/ieee754/ldbl-opt/s_catanhl.c | 6 --
sysdeps/ieee754/ldbl-opt/s_catanl.c | 6 --
sysdeps/ieee754/ldbl-opt/s_ctan.c | 6 --
sysdeps/ieee754/ldbl-opt/s_ctanh.c | 6 --
sysdeps/ieee754/ldbl-opt/s_ctanhl.c | 6 --
sysdeps/ieee754/ldbl-opt/s_ctanl.c | 6 --
31 files changed, 592 insertions(+), 1695 deletions(-)
create mode 100644 math/b_catan.c
create mode 100644 math/b_catanh.c
create mode 100644 math/b_ctan.c
create mode 100644 math/b_ctanh.c
delete mode 100644 math/s_catan.c
delete mode 100644 math/s_catanf.c
delete mode 100644 math/s_catanh.c
delete mode 100644 math/s_catanhf.c
delete mode 100644 math/s_catanhl.c
delete mode 100644 math/s_catanl.c
delete mode 100644 math/s_ctan.c
delete mode 100644 math/s_ctanf.c
delete mode 100644 math/s_ctanh.c
delete mode 100644 math/s_ctanhf.c
delete mode 100644 math/s_ctanhl.c
delete mode 100644 math/s_ctanl.c
delete mode 100644 sysdeps/ieee754/ldbl-opt/s_catan.c
delete mode 100644 sysdeps/ieee754/ldbl-opt/s_catanh.c
delete mode 100644 sysdeps/ieee754/ldbl-opt/s_catanhl.c
delete mode 100644 sysdeps/ieee754/ldbl-opt/s_catanl.c
delete mode 100644 sysdeps/ieee754/ldbl-opt/s_ctan.c
delete mode 100644 sysdeps/ieee754/ldbl-opt/s_ctanh.c
delete mode 100644 sysdeps/ieee754/ldbl-opt/s_ctanhl.c
delete mode 100644 sysdeps/ieee754/ldbl-opt/s_ctanl.c
diff --git a/math/Makefile b/math/Makefile
index ac91a84..63a385d 100644
--- a/math/Makefile
+++ b/math/Makefile
@@ -55,7 +55,7 @@ libm-support = s_lib_version s_matherr s_signgam \
# will match the name s_<func><type suffix>
gen-libm-calls = g_carg_F g_conj_F g_cimag_F g_creal_F g_cabs_F g_cacos_F \
g_cacosh_F g_ccos_F g_ccosh_F g_casin_F g_csin_F g_casinh_F \
- g_k_casinh_F g_csinh_F
+ g_k_casinh_F g_csinh_F g_catanh_F g_catan_F g_ctan_F g_ctanh_F
libm-calls = \
e_acosF e_acoshF e_asinF e_atan2F e_atanhF e_coshF e_expF e_fmodF \
@@ -74,8 +74,7 @@ libm-calls = \
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 \
diff --git a/math/b_catan.c b/math/b_catan.c
new file mode 100644
index 0000000..64179b7
--- /dev/null
+++ b/math/b_catan.c
@@ -0,0 +1,146 @@
+/* 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 M_LIT (2.1) of the License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public
+ License along with the GNU C Library; if not, see
+ <http://www.gnu.org/licenses/>. */
+
+#include <complex.h>
+#include <math.h>
+#include <math_private.h>
+#include <float.h>
+
+CFLOAT
+M_DECL_FUNC (__catan) (CFLOAT x)
+{
+ CFLOAT res;
+ int rcls = fpclassify (__real__ x);
+ int icls = fpclassify (__imag__ x);
+
+ if (__glibc_unlikely (rcls <= FP_INFINITE || icls <= FP_INFINITE))
+ {
+ if (rcls == FP_INFINITE)
+ {
+ __real__ res = M_COPYSIGN (M_MLIT (M_PI_2), __real__ x);
+ __imag__ res = M_COPYSIGN (M_LIT (0.0), __imag__ x);
+ }
+ else if (icls == FP_INFINITE)
+ {
+ if (rcls >= FP_ZERO)
+ __real__ res = M_COPYSIGN (M_MLIT (M_PI_2), __real__ x);
+ else
+ __real__ res = M_NAN;
+ __imag__ res = M_COPYSIGN (M_LIT (0.0), __imag__ x);
+ }
+ else if (icls == FP_ZERO || icls == FP_INFINITE)
+ {
+ __real__ res = M_NAN;
+ __imag__ res = M_COPYSIGN (M_LIT (0.0), __imag__ x);
+ }
+ else
+ {
+ __real__ res = M_NAN;
+ __imag__ res = M_NAN;
+ }
+ }
+ else if (__glibc_unlikely (rcls == FP_ZERO && icls == FP_ZERO))
+ {
+ res = x;
+ }
+ else
+ {
+ if (M_FABS (__real__ x) >= M_LIT (16.0) / M_EPSILON
+ || M_FABS (__imag__ x) >= M_LIT (16.0) / M_EPSILON)
+ {
+ __real__ res = M_COPYSIGN (M_MLIT (M_PI_2), __real__ x);
+ if (M_FABS (__real__ x) <= M_LIT (1.0))
+ __imag__ res = M_LIT (1.0) / __imag__ x;
+ else if (M_FABS (__imag__ x) <= M_LIT (1.0))
+ __imag__ res = __imag__ x / __real__ x / __real__ x;
+ else
+ {
+ FLOAT h = M_HYPOT (__real__ x / M_LIT (2.0),
+ __imag__ x / M_LIT (2.0));
+ __imag__ res = __imag__ x / h / h / M_LIT (4.0);
+ }
+ }
+ else
+ {
+ FLOAT den, absx, absy;
+
+ absx = M_FABS (__real__ x);
+ absy = M_FABS (__imag__ x);
+ if (absx < absy)
+ {
+ FLOAT t = absx;
+ absx = absy;
+ absy = t;
+ }
+
+ if (absy < M_EPSILON / M_LIT (2.0))
+ {
+ den = (M_LIT (1.0) - absx) * (M_LIT (1.0) + absx);
+ if (den == -M_LIT (0.0))
+ den = M_LIT (0.0);
+ }
+ else if (absx >= M_LIT (1.0))
+ den = (M_LIT (1.0) - absx) * (M_LIT (1.0) + absx) - absy * absy;
+ else if (absx >= M_LIT (0.75) || absy >= M_LIT (0.5))
+ den = -M_FUNC (__x2y2m1) (absx, absy);
+ else
+ den = (M_LIT (1.0) - absx) * (M_LIT (1.0) + absx) - absy * absy;
+
+ __real__ res = M_LIT (0.5) * M_ATAN2 (M_LIT (2.0) * __real__ x, den);
+
+ if (M_FABS (__imag__ x) == M_LIT (1.0)
+ && M_FABS (__real__ x) < M_EPSILON * M_EPSILON)
+ __imag__ res = (M_COPYSIGN (M_LIT (0.5), __imag__ x)
+ * ((FLOAT) M_MLIT (M_LN2)
+ - M_LOG (M_FABS (__real__ x))));
+ else
+ {
+ FLOAT r2 = M_LIT (0.0), num, f;
+
+ if (M_FABS (__real__ x) >= M_EPSILON * M_EPSILON)
+ r2 = __real__ x * __real__ x;
+
+ num = __imag__ x + M_LIT (1.0);
+ num = r2 + num * num;
+
+ den = __imag__ x - M_LIT (1.0);
+ den = r2 + den * den;
+
+ f = num / den;
+ if (f < M_LIT (0.5))
+ __imag__ res = M_LIT (0.25) * M_LOG (f);
+ else
+ {
+ num = M_LIT (4.0) * __imag__ x;
+ __imag__ res = M_LIT (0.25) * M_LOG1P (num / den);
+ }
+ }
+ }
+
+ math_check_force_underflow_complex (res);
+ }
+
+ return res;
+}
+
+declare_mgen_alias (__catan, catan)
+
+#if M_LIBM_NEED_COMPAT (catan)
+ declare_mgen_libm_compat (__catan, catan)
+#endif
diff --git a/math/b_catanh.c b/math/b_catanh.c
new file mode 100644
index 0000000..5795272
--- /dev/null
+++ b/math/b_catanh.c
@@ -0,0 +1,140 @@
+/* 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 M_LIT (2.1) of the License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public
+ License along with the GNU C Library; if not, see
+ <http://www.gnu.org/licenses/>. */
+
+#include <complex.h>
+#include <math.h>
+#include <math_private.h>
+#include <float.h>
+
+CFLOAT
+M_DECL_FUNC (__catanh) (CFLOAT x)
+{
+ CFLOAT 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 = M_COPYSIGN (M_LIT (0.0), __real__ x);
+ __imag__ res = M_COPYSIGN (M_MLIT (M_PI_2), __imag__ x);
+ }
+ else if (rcls == FP_INFINITE || rcls == FP_ZERO)
+ {
+ __real__ res = M_COPYSIGN (M_LIT (0.0), __real__ x);
+ if (icls >= FP_ZERO)
+ __imag__ res = M_COPYSIGN (M_MLIT (M_PI_2), __imag__ x);
+ else
+ __imag__ res = M_NAN;
+ }
+ else
+ {
+ __real__ res = M_NAN;
+ __imag__ res = M_NAN;
+ }
+ }
+ else if (__glibc_unlikely (rcls == FP_ZERO && icls == FP_ZERO))
+ {
+ res = x;
+ }
+ else
+ {
+ if (M_FABS (__real__ x) >= M_LIT (16.0) / M_EPSILON
+ || M_FABS (__imag__ x) >= M_LIT (16.0) / M_EPSILON)
+ {
+ __imag__ res = M_COPYSIGN (M_MLIT (M_PI_2), __imag__ x);
+ if (M_FABS (__imag__ x) <= M_LIT (1.0))
+ __real__ res = M_LIT (1.0) / __real__ x;
+ else if (M_FABS (__real__ x) <= M_LIT (1.0))
+ __real__ res = __real__ x / __imag__ x / __imag__ x;
+ else
+ {
+ FLOAT h = M_HYPOT (__real__ x / M_LIT (2.0),
+ __imag__ x / M_LIT (2.0));
+ __real__ res = __real__ x / h / h / M_LIT (4.0);
+ }
+ }
+ else
+ {
+ if (M_FABS (__real__ x) == M_LIT (1.0)
+ && 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
+ {
+ FLOAT i2 = M_LIT (0.0);
+ if (M_FABS (__imag__ x) >= M_EPSILON * M_EPSILON)
+ i2 = __imag__ x * __imag__ x;
+
+ FLOAT num = M_LIT (1.0) + __real__ x;
+ num = i2 + num * num;
+
+ FLOAT den = M_LIT (1.0) - __real__ x;
+ den = i2 + den * den;
+
+ FLOAT f = num / den;
+ if (f < M_LIT (0.5))
+ __real__ res = M_LIT (0.25) * M_LOG (f);
+ else
+ {
+ num = M_LIT (4.0) * __real__ x;
+ __real__ res = M_LIT (0.25) * M_LOG1P (num / den);
+ }
+ }
+
+ FLOAT absx, absy, den;
+
+ absx = M_FABS (__real__ x);
+ absy = M_FABS (__imag__ x);
+ if (absx < absy)
+ {
+ FLOAT t = absx;
+ absx = absy;
+ absy = t;
+ }
+
+ if (absy < M_EPSILON / M_LIT (2.0))
+ {
+ den = (M_LIT (1.0) - absx) * (M_LIT (1.0) + absx);
+ if (den == -M_LIT (0.0))
+ den = M_LIT (0.0);
+ }
+ else if (absx >= M_LIT (1.0))
+ den = (M_LIT (1.0) - absx) * (M_LIT (1.0) + absx) - absy * absy;
+ else if (absx >= M_LIT (0.75) || absy >= M_LIT (0.5))
+ den = -M_FUNC (__x2y2m1) (absx, absy);
+ else
+ den = (M_LIT (1.0) - absx) * (M_LIT (1.0) + absx) - absy * absy;
+
+ __imag__ res = M_LIT (0.5) * M_ATAN2 (M_LIT (2.0) * __imag__ x, den);
+ }
+
+ math_check_force_underflow_complex (res);
+ }
+
+ return res;
+}
+
+declare_mgen_alias (__catanh, catanh)
+
+#if M_LIBM_NEED_COMPAT (catanh)
+ declare_mgen_libm_compat (__catanh, catanh)
+#endif
diff --git a/math/b_ctan.c b/math/b_ctan.c
new file mode 100644
index 0000000..a83a9a5
--- /dev/null
+++ b/math/b_ctan.c
@@ -0,0 +1,130 @@
+/* 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 M_LIT (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>
+
+CFLOAT
+M_DECL_FUNC (__ctan) (CFLOAT x)
+{
+ CFLOAT res;
+
+ if (__glibc_unlikely (!isfinite (__real__ x) || !isfinite (__imag__ x)))
+ {
+ if (isinf (__imag__ x))
+ {
+ if (isfinite (__real__ x) && M_FABS (__real__ x) > M_LIT (1.0))
+ {
+ FLOAT sinrx, cosrx;
+ M_SINCOS (__real__ x, &sinrx, &cosrx);
+ __real__ res = M_COPYSIGN (M_LIT (0.0), sinrx * cosrx);
+ }
+ else
+ __real__ res = M_COPYSIGN (M_LIT (0.0), __real__ x);
+ __imag__ res = M_COPYSIGN (M_LIT (1.0), __imag__ x);
+ }
+ else if (__real__ x == M_LIT (0.0))
+ {
+ res = x;
+ }
+ else
+ {
+ __real__ res = M_NAN;
+ __imag__ res = M_NAN;
+
+ if (isinf (__real__ x))
+ feraiseexcept (FE_INVALID);
+ }
+ }
+ else
+ {
+ 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 (M_FABS (__real__ x) > M_MIN))
+ {
+ M_SINCOS (__real__ x, &sinrx, &cosrx);
+ }
+ else
+ {
+ sinrx = __real__ x;
+ cosrx = M_LIT (1.0);
+ }
+
+ 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). */
+ FLOAT exp_2t = M_EXP (2 * t);
+
+ __imag__ res = M_COPYSIGN (M_LIT (1.0), __imag__ x);
+ __real__ res = 4 * sinrx * cosrx;
+ __imag__ x = M_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 /= M_EXP (2 * __imag__ x);
+ }
+ else
+ {
+ FLOAT sinhix, coshix;
+ if (M_FABS (__imag__ x) > M_MIN)
+ {
+ sinhix = M_SINH (__imag__ x);
+ coshix = M_COSH (__imag__ x);
+ }
+ else
+ {
+ sinhix = __imag__ x;
+ coshix = M_LIT (1.0);
+ }
+
+ if (M_FABS (sinhix) > M_FABS (cosrx) * M_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;
+}
+
+declare_mgen_alias (__ctan, ctan)
+
+#if M_LIBM_NEED_COMPAT (ctan)
+ declare_mgen_libm_compat (__ctan, ctan)
+#endif
diff --git a/math/b_ctanh.c b/math/b_ctanh.c
new file mode 100644
index 0000000..7038162
--- /dev/null
+++ b/math/b_ctanh.c
@@ -0,0 +1,130 @@
+/* Complex hyperbole tangent for complex 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.
+
+ 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 M_LIT (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>
+
+CFLOAT
+M_DECL_FUNC (__ctanh) (CFLOAT x)
+{
+ CFLOAT res;
+
+ if (__glibc_unlikely (!isfinite (__real__ x) || !isfinite (__imag__ x)))
+ {
+ if (isinf (__real__ x))
+ {
+ __real__ res = M_COPYSIGN (M_LIT (1.0), __real__ x);
+ if (isfinite (__imag__ x) && M_FABS (__imag__ x) > M_LIT (1.0))
+ {
+ FLOAT sinix, cosix;
+ M_SINCOS (__imag__ x, &sinix, &cosix);
+ __imag__ res = M_COPYSIGN (M_LIT (0.0), sinix * cosix);
+ }
+ else
+ __imag__ res = M_COPYSIGN (M_LIT (0.0), __imag__ x);
+ }
+ else if (__imag__ x == M_LIT (0.0))
+ {
+ res = x;
+ }
+ else
+ {
+ __real__ res = M_NAN;
+ __imag__ res = M_NAN;
+
+ if (isinf (__imag__ x))
+ feraiseexcept (FE_INVALID);
+ }
+ }
+ else
+ {
+ 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 (M_FABS (__imag__ x) > M_MIN))
+ {
+ M_SINCOS (__imag__ x, &sinix, &cosix);
+ }
+ else
+ {
+ sinix = __imag__ x;
+ cosix = M_LIT (1.0);
+ }
+
+ 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). */
+ FLOAT exp_2t = M_EXP (2 * t);
+
+ __real__ res = M_COPYSIGN (M_LIT (1.0), __real__ x);
+ __imag__ res = 4 * sinix * cosix;
+ __real__ x = M_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 /= M_EXP (2 * __real__ x);
+ }
+ else
+ {
+ FLOAT sinhrx, coshrx;
+ if (M_FABS (__real__ x) > M_MIN)
+ {
+ sinhrx = M_SINH (__real__ x);
+ coshrx = M_COSH (__real__ x);
+ }
+ else
+ {
+ sinhrx = __real__ x;
+ coshrx = M_LIT (1.0);
+ }
+
+ if (M_FABS (sinhrx) > M_FABS (cosix) * M_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;
+}
+
+declare_mgen_alias (__ctanh, ctanh)
+
+#if M_LIBM_NEED_COMPAT (ctanh)
+ declare_mgen_libm_compat (__ctanh, ctanh)
+#endif
diff --git a/math/s_catan.c b/math/s_catan.c
deleted file mode 100644
index 5ab4c0d..0000000
--- a/math/s_catan.c
+++ /dev/null
@@ -1,143 +0,0 @@
-/* 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
diff --git a/math/s_catanf.c b/math/s_catanf.c
deleted file mode 100644
index 63e6b6e..0000000
--- a/math/s_catanf.c
+++ /dev/null
@@ -1,143 +0,0 @@
-/* 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
diff --git a/math/s_catanh.c b/math/s_catanh.c
deleted file mode 100644
index 11ea062..0000000
--- a/math/s_catanh.c
+++ /dev/null
@@ -1,137 +0,0 @@
-/* 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
diff --git a/math/s_catanhf.c b/math/s_catanhf.c
deleted file mode 100644
index fe43a51..0000000
--- a/math/s_catanhf.c
+++ /dev/null
@@ -1,137 +0,0 @@
-/* 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
diff --git a/math/s_catanhl.c b/math/s_catanhl.c
deleted file mode 100644
index 4c8e871..0000000
--- a/math/s_catanhl.c
+++ /dev/null
@@ -1,141 +0,0 @@
-/* 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)
diff --git a/math/s_catanl.c b/math/s_catanl.c
deleted file mode 100644
index 4425002..0000000
--- a/math/s_catanl.c
+++ /dev/null
@@ -1,147 +0,0 @@
-/* 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)
diff --git a/math/s_ctan.c b/math/s_ctan.c
deleted file mode 100644
index 8e8bf2e..0000000
--- a/math/s_ctan.c
+++ /dev/null
@@ -1,129 +0,0 @@
-/* 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
diff --git a/math/s_ctanf.c b/math/s_ctanf.c
deleted file mode 100644
index 0db2c90..0000000
--- a/math/s_ctanf.c
+++ /dev/null
@@ -1,127 +0,0 @@
-/* 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
diff --git a/math/s_ctanh.c b/math/s_ctanh.c
deleted file mode 100644
index 2d18875..0000000
--- a/math/s_ctanh.c
+++ /dev/null
@@ -1,129 +0,0 @@
-/* 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
diff --git a/math/s_ctanhf.c b/math/s_ctanhf.c
deleted file mode 100644
index ffe95f6..0000000
--- a/math/s_ctanhf.c
+++ /dev/null
@@ -1,127 +0,0 @@
-/* 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
diff --git a/math/s_ctanhl.c b/math/s_ctanhl.c
deleted file mode 100644
index 3404d06..0000000
--- a/math/s_ctanhl.c
+++ /dev/null
@@ -1,132 +0,0 @@
-/* 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)
diff --git a/math/s_ctanl.c b/math/s_ctanl.c
deleted file mode 100644
index d6be22d..0000000
--- a/math/s_ctanl.c
+++ /dev/null
@@ -1,132 +0,0 @@
-/* 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)
diff --git a/sysdeps/alpha/fpu/Makefile b/sysdeps/alpha/fpu/Makefile
index 3ae1451..d8ccf86 100644
--- a/sysdeps/alpha/fpu/Makefile
+++ b/sysdeps/alpha/fpu/Makefile
@@ -2,7 +2,7 @@
# the respectic s_*.c versions here.
libm-gen-calls-override = g_cabs_f g_carg_f g_cimag_f g_creal_f g_conj_f \
g_cacos_f g_cacosh_f g_ccos_f g_ccosh_f g_casin_f g_csin_f \
- g_casinh_f g_csinh_f
-libm-gen-replacement-calls = cabsf cargf cimagf crealf conjf \
- s_cacosf s_cacoshf s_ccosf s_ccoshf s_casinf s_csinf \
- s_casinhf s_csinhf
+ g_casinh_f g_csinh_f g_catan_f g_catanh_f g_ctan_f g_ctanh_f
+libm-gen-replacement-calls = cabsf cargf cimagf crealf conjf \
+ s_cacosf s_cacoshf s_ccosf s_ccoshf s_casinf s_csinf \
+ s_casinhf s_csinhf s_catanf s_catanhf s_ctanf s_ctanhf
diff --git a/sysdeps/alpha/fpu/s_catanf.c b/sysdeps/alpha/fpu/s_catanf.c
index 76c1718..bc2b7eb 100644
--- a/sysdeps/alpha/fpu/s_catanf.c
+++ b/sysdeps/alpha/fpu/s_catanf.c
@@ -24,14 +24,19 @@
#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
+#define M_TYPE M_FLOAT
+#include <math-type-macros.h>
-#undef __catanf
+/* Disable any aliasing from base template. */
+#undef declare_mgen_alias
+#define declare_mgen_alias(__to, __from)
+
+#include <math/b_catan.c>
+#include "cfloat-compat.h"
c1_cfloat_rettype
__c1_catanf (c1_cfloat_decl (x))
diff --git a/sysdeps/alpha/fpu/s_catanhf.c b/sysdeps/alpha/fpu/s_catanhf.c
index 18148dd..46b73b6 100644
--- a/sysdeps/alpha/fpu/s_catanhf.c
+++ b/sysdeps/alpha/fpu/s_catanhf.c
@@ -24,14 +24,19 @@
#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
+#define M_TYPE M_FLOAT
+#include <math-type-macros.h>
-#undef __catanhf
+/* Disable any aliasing from base template. */
+#undef declare_mgen_alias
+#define declare_mgen_alias(__to, __from)
+
+#include <math/b_catanh.c>
+#include "cfloat-compat.h"
c1_cfloat_rettype
__c1_catanhf (c1_cfloat_decl (x))
diff --git a/sysdeps/alpha/fpu/s_ctanf.c b/sysdeps/alpha/fpu/s_ctanf.c
index ee02f31..fe9b619 100644
--- a/sysdeps/alpha/fpu/s_ctanf.c
+++ b/sysdeps/alpha/fpu/s_ctanf.c
@@ -24,14 +24,19 @@
#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
+#define M_TYPE M_FLOAT
+#include <math-type-macros.h>
-#undef __ctanf
+/* Disable any aliasing from base template. */
+#undef declare_mgen_alias
+#define declare_mgen_alias(__to, __from)
+
+#include <math/b_ctan.c>
+#include "cfloat-compat.h"
c1_cfloat_rettype
__c1_ctanf (c1_cfloat_decl (x))
diff --git a/sysdeps/alpha/fpu/s_ctanhf.c b/sysdeps/alpha/fpu/s_ctanhf.c
index cb99279..0d6e0dc 100644
--- a/sysdeps/alpha/fpu/s_ctanhf.c
+++ b/sysdeps/alpha/fpu/s_ctanhf.c
@@ -24,14 +24,19 @@
#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
+#define M_TYPE M_FLOAT
+#include <math-type-macros.h>
-#undef __ctanhf
+/* Disable any aliasing from base template. */
+#undef declare_mgen_alias
+#define declare_mgen_alias(__to, __from)
+
+#include <math/b_ctanh.c>
+#include "cfloat-compat.h"
c1_cfloat_rettype
__c1_ctanhf (c1_cfloat_decl (x))
diff --git a/sysdeps/ieee754/ldbl-opt/math-type-macros.h b/sysdeps/ieee754/ldbl-opt/math-type-macros.h
index 061ba33..646489e 100644
--- a/sysdeps/ieee754/ldbl-opt/math-type-macros.h
+++ b/sysdeps/ieee754/ldbl-opt/math-type-macros.h
@@ -15,5 +15,9 @@
#define LDOUBLE_csinl_libm_version GLIBC_2_1
#define LDOUBLE_casinhl_libm_version GLIBC_2_1
#define LDOUBLE_csinhl_libm_version GLIBC_2_1
+#define LDOUBLE_catanl_libm_version GLIBC_2_1
+#define LDOUBLE_catanhl_libm_version GLIBC_2_1
+#define LDOUBLE_ctanl_libm_version GLIBC_2_1
+#define LDOUBLE_ctanhl_libm_version GLIBC_2_1
#include_next <math-type-macros.h>
diff --git a/sysdeps/ieee754/ldbl-opt/s_catan.c b/sysdeps/ieee754/ldbl-opt/s_catan.c
deleted file mode 100644
index 19f6173..0000000
--- a/sysdeps/ieee754/ldbl-opt/s_catan.c
+++ /dev/null
@@ -1,6 +0,0 @@
-#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
diff --git a/sysdeps/ieee754/ldbl-opt/s_catanh.c b/sysdeps/ieee754/ldbl-opt/s_catanh.c
deleted file mode 100644
index cff7861..0000000
--- a/sysdeps/ieee754/ldbl-opt/s_catanh.c
+++ /dev/null
@@ -1,6 +0,0 @@
-#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
diff --git a/sysdeps/ieee754/ldbl-opt/s_catanhl.c b/sysdeps/ieee754/ldbl-opt/s_catanhl.c
deleted file mode 100644
index e956282..0000000
--- a/sysdeps/ieee754/ldbl-opt/s_catanhl.c
+++ /dev/null
@@ -1,6 +0,0 @@
-#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);
diff --git a/sysdeps/ieee754/ldbl-opt/s_catanl.c b/sysdeps/ieee754/ldbl-opt/s_catanl.c
deleted file mode 100644
index ee2fdf5..0000000
--- a/sysdeps/ieee754/ldbl-opt/s_catanl.c
+++ /dev/null
@@ -1,6 +0,0 @@
-#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);
diff --git a/sysdeps/ieee754/ldbl-opt/s_ctan.c b/sysdeps/ieee754/ldbl-opt/s_ctan.c
deleted file mode 100644
index a6a21f9..0000000
--- a/sysdeps/ieee754/ldbl-opt/s_ctan.c
+++ /dev/null
@@ -1,6 +0,0 @@
-#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
diff --git a/sysdeps/ieee754/ldbl-opt/s_ctanh.c b/sysdeps/ieee754/ldbl-opt/s_ctanh.c
deleted file mode 100644
index fd4be12..0000000
--- a/sysdeps/ieee754/ldbl-opt/s_ctanh.c
+++ /dev/null
@@ -1,6 +0,0 @@
-#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
diff --git a/sysdeps/ieee754/ldbl-opt/s_ctanhl.c b/sysdeps/ieee754/ldbl-opt/s_ctanhl.c
deleted file mode 100644
index f159373..0000000
--- a/sysdeps/ieee754/ldbl-opt/s_ctanhl.c
+++ /dev/null
@@ -1,6 +0,0 @@
-#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);
diff --git a/sysdeps/ieee754/ldbl-opt/s_ctanl.c b/sysdeps/ieee754/ldbl-opt/s_ctanl.c
deleted file mode 100644
index 0c2d94c..0000000
--- a/sysdeps/ieee754/ldbl-opt/s_ctanl.c
+++ /dev/null
@@ -1,6 +0,0 @@
-#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);
--
2.4.11