[Feature][ZXW-33]merge ZXW 0428 version

Change-Id: I11f167edfea428d9fab198ff00ff1364932d1b0b
diff --git a/ap/libc/glibc/glibc-2.23/math/bits/cmathcalls.h b/ap/libc/glibc/glibc-2.23/math/bits/cmathcalls.h
new file mode 100644
index 0000000..e02707e
--- /dev/null
+++ b/ap/libc/glibc/glibc-2.23/math/bits/cmathcalls.h
@@ -0,0 +1,158 @@
+/* Prototype declarations for complex math functions;
+   helper file for <complex.h>.
+   Copyright (C) 1997-2016 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   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/>.  */
+
+/* NOTE: Because of the special way this file is used by <complex.h>, this
+   file must NOT be protected from multiple inclusion as header files
+   usually are.
+
+   This file provides prototype declarations for the math functions.
+   Most functions are declared using the macro:
+
+   __MATHCALL (NAME, (ARGS...));
+
+   This means there is a function `NAME' returning `double' and a function
+   `NAMEf' returning `float'.  Each place `_Mdouble_' appears in the
+   prototype, that is actually `double' in the prototype for `NAME' and
+   `float' in the prototype for `NAMEf'.  Reentrant variant functions are
+   called `NAME_r' and `NAMEf_r'.
+
+   Functions returning other types like `int' are declared using the macro:
+
+   __MATHDECL (TYPE, NAME, (ARGS...));
+
+   This is just like __MATHCALL but for a function returning `TYPE'
+   instead of `_Mdouble_'.  In all of these cases, there is still
+   both a `NAME' and a `NAMEf' that takes `float' arguments.  */
+
+#ifndef _COMPLEX_H
+#error "Never use <bits/cmathcalls.h> directly; include <complex.h> instead."
+#endif
+
+#define _Mdouble_complex_ _Mdouble_ _Complex
+
+
+/* Trigonometric functions.  */
+
+/* Arc cosine of Z.  */
+__MATHCALL (cacos, (_Mdouble_complex_ __z));
+/* Arc sine of Z.  */
+__MATHCALL (casin, (_Mdouble_complex_ __z));
+/* Arc tangent of Z.  */
+__MATHCALL (catan, (_Mdouble_complex_ __z));
+
+/* Cosine of Z.  */
+__MATHCALL (ccos, (_Mdouble_complex_ __z));
+/* Sine of Z.  */
+__MATHCALL (csin, (_Mdouble_complex_ __z));
+/* Tangent of Z.  */
+__MATHCALL (ctan, (_Mdouble_complex_ __z));
+
+
+/* Hyperbolic functions.  */
+
+/* Hyperbolic arc cosine of Z.  */
+__MATHCALL (cacosh, (_Mdouble_complex_ __z));
+/* Hyperbolic arc sine of Z.  */
+__MATHCALL (casinh, (_Mdouble_complex_ __z));
+/* Hyperbolic arc tangent of Z.  */
+__MATHCALL (catanh, (_Mdouble_complex_ __z));
+
+/* Hyperbolic cosine of Z.  */
+__MATHCALL (ccosh, (_Mdouble_complex_ __z));
+/* Hyperbolic sine of Z.  */
+__MATHCALL (csinh, (_Mdouble_complex_ __z));
+/* Hyperbolic tangent of Z.  */
+__MATHCALL (ctanh, (_Mdouble_complex_ __z));
+
+
+/* Exponential and logarithmic functions.  */
+
+/* Exponential function of Z.  */
+__MATHCALL (cexp, (_Mdouble_complex_ __z));
+
+/* Natural logarithm of Z.  */
+__MATHCALL (clog, (_Mdouble_complex_ __z));
+
+#ifdef __USE_GNU
+/* The base 10 logarithm is not defined by the standard but to implement
+   the standard C++ library it is handy.  */
+__MATHCALL (clog10, (_Mdouble_complex_ __z));
+#endif
+
+/* Power functions.  */
+
+/* Return X to the Y power.  */
+__MATHCALL (cpow, (_Mdouble_complex_ __x, _Mdouble_complex_ __y));
+
+/* Return the square root of Z.  */
+__MATHCALL (csqrt, (_Mdouble_complex_ __z));
+
+
+/* Absolute value, conjugates, and projection.  */
+
+/* Absolute value of Z.  */
+__MATHDECL (_Mdouble_,cabs, (_Mdouble_complex_ __z));
+
+/* Argument value of Z.  */
+__MATHDECL (_Mdouble_,carg, (_Mdouble_complex_ __z));
+
+/* Complex conjugate of Z.  */
+__MATHCALL (conj, (_Mdouble_complex_ __z));
+
+/* Projection of Z onto the Riemann sphere.  */
+__MATHCALL (cproj, (_Mdouble_complex_ __z));
+
+
+/* Decomposing complex values.  */
+
+/* Imaginary part of Z.  */
+__MATHDECL (_Mdouble_,cimag, (_Mdouble_complex_ __z));
+
+/* Real part of Z.  */
+__MATHDECL (_Mdouble_,creal, (_Mdouble_complex_ __z));
+
+
+/* Now some optimized versions.  GCC has handy notations for these
+   functions.  Recent GCC handles these as builtin functions so does
+   not need inlines.  */
+#if defined __GNUC__ && !__GNUC_PREREQ (2, 97) && defined __OPTIMIZE__ \
+    && defined __extern_inline
+
+/* Imaginary part of Z.  */
+__extern_inline _Mdouble_
+__MATH_PRECNAME(cimag) (_Mdouble_complex_ __z) __THROW
+{
+  return __imag__ __z;
+}
+
+/* Real part of Z.  */
+__extern_inline _Mdouble_
+__MATH_PRECNAME(creal) (_Mdouble_complex_ __z) __THROW
+{
+  return __real__ __z;
+}
+
+/* Complex conjugate of Z.  */
+__extern_inline _Mdouble_complex_
+__MATH_PRECNAME(conj) (_Mdouble_complex_ __z) __THROW
+{
+  return __extension__ ~__z;
+}
+
+#endif
diff --git a/ap/libc/glibc/glibc-2.23/math/bits/math-finite.h b/ap/libc/glibc/glibc-2.23/math/bits/math-finite.h
new file mode 100644
index 0000000..adaad0e
--- /dev/null
+++ b/ap/libc/glibc/glibc-2.23/math/bits/math-finite.h
@@ -0,0 +1,506 @@
+/* Entry points to finite-math-only compiler runs.
+   Copyright (C) 2011-2016 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   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/>.  */
+
+#ifndef _MATH_H
+# error "Never use <bits/math-finite.h> directly; include <math.h> instead."
+#endif
+
+/* acos.  */
+extern double __REDIRECT_NTH (acos, (double), __acos_finite);
+#ifdef __USE_ISOC99
+extern float __REDIRECT_NTH (acosf, (float), __acosf_finite);
+# ifdef __MATH_DECLARE_LDOUBLE
+#  ifdef __NO_LONG_DOUBLE_MATH
+extern long double __REDIRECT_NTH (acosl, (long double), __acos_finite);
+#  else
+extern long double __REDIRECT_NTH (acosl, (long double), __acosl_finite);
+#  endif
+# endif
+#endif
+
+#if defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
+/* acosh.  */
+extern double __REDIRECT_NTH (acosh, (double), __acosh_finite);
+#endif
+#ifdef __USE_ISOC99
+extern float __REDIRECT_NTH (acoshf, (float), __acoshf_finite);
+# ifdef __MATH_DECLARE_LDOUBLE
+#  ifdef __NO_LONG_DOUBLE_MATH
+extern long double __REDIRECT_NTH (acoshl, (long double), __acosh_finite);
+#  else
+extern long double __REDIRECT_NTH (acoshl, (long double), __acoshl_finite);
+#  endif
+# endif
+#endif
+
+/* asin.  */
+extern double __REDIRECT_NTH (asin, (double), __asin_finite);
+#ifdef __USE_ISOC99
+extern float __REDIRECT_NTH (asinf, (float), __asinf_finite);
+# ifdef __MATH_DECLARE_LDOUBLE
+#  ifdef __NO_LONG_DOUBLE_MATH
+extern long double __REDIRECT_NTH (asinl, (long double), __asin_finite);
+#  else
+extern long double __REDIRECT_NTH (asinl, (long double), __asinl_finite);
+#  endif
+# endif
+#endif
+
+/* atan2.  */
+extern double __REDIRECT_NTH (atan2, (double, double), __atan2_finite);
+#ifdef __USE_ISOC99
+extern float __REDIRECT_NTH (atan2f, (float, float), __atan2f_finite);
+# ifdef __MATH_DECLARE_LDOUBLE
+#  ifdef __NO_LONG_DOUBLE_MATH
+extern long double __REDIRECT_NTH (atan2l, (long double, long double),
+				   __atan2_finite);
+#  else
+extern long double __REDIRECT_NTH (atan2l, (long double, long double),
+				   __atan2l_finite);
+#  endif
+# endif
+#endif
+
+#if defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
+/* atanh.  */
+extern double __REDIRECT_NTH (atanh, (double), __atanh_finite);
+#endif
+#ifdef __USE_ISOC99
+extern float __REDIRECT_NTH (atanhf, (float), __atanhf_finite);
+# ifdef __MATH_DECLARE_LDOUBLE
+#  ifdef __NO_LONG_DOUBLE_MATH
+extern long double __REDIRECT_NTH (atanhl, (long double), __atanh_finite);
+#  else
+extern long double __REDIRECT_NTH (atanhl, (long double), __atanhl_finite);
+#  endif
+# endif
+#endif
+
+/* cosh.  */
+extern double __REDIRECT_NTH (cosh, (double), __cosh_finite);
+#ifdef __USE_ISOC99
+extern float __REDIRECT_NTH (coshf, (float), __coshf_finite);
+# ifdef __MATH_DECLARE_LDOUBLE
+#  ifdef __NO_LONG_DOUBLE_MATH
+extern long double __REDIRECT_NTH (coshl, (long double), __cosh_finite);
+#  else
+extern long double __REDIRECT_NTH (coshl, (long double), __coshl_finite);
+#  endif
+# endif
+#endif
+
+/* exp.  */
+extern double __REDIRECT_NTH (exp, (double), __exp_finite);
+#ifdef __USE_ISOC99
+extern float __REDIRECT_NTH (expf, (float), __expf_finite);
+# ifdef __MATH_DECLARE_LDOUBLE
+#  ifdef __NO_LONG_DOUBLE_MATH
+extern long double __REDIRECT_NTH (expl, (long double), __exp_finite);
+#  else
+extern long double __REDIRECT_NTH (expl, (long double), __expl_finite);
+#  endif
+# endif
+#endif
+
+#ifdef __USE_GNU
+/* exp10.  */
+extern double __REDIRECT_NTH (exp10, (double), __exp10_finite);
+extern float __REDIRECT_NTH (exp10f, (float), __exp10f_finite);
+# ifdef __MATH_DECLARE_LDOUBLE
+#  ifdef __NO_LONG_DOUBLE_MATH
+extern long double __REDIRECT_NTH (exp10l, (long double), __exp10_finite);
+#  else
+extern long double __REDIRECT_NTH (exp10l, (long double), __exp10l_finite);
+#  endif
+# endif
+
+/* pow10.  */
+extern double __REDIRECT_NTH (pow10, (double), __exp10_finite);
+extern float __REDIRECT_NTH (pow10f, (float), __exp10f_finite);
+# ifdef __MATH_DECLARE_LDOUBLE
+#  ifdef __NO_LONG_DOUBLE_MATH
+extern long double __REDIRECT_NTH (pow10l, (long double), __exp10_finite);
+#  else
+extern long double __REDIRECT_NTH (pow10l, (long double), __exp10l_finite);
+#  endif
+# endif
+#endif
+
+#ifdef __USE_ISOC99
+/* exp2.  */
+extern double __REDIRECT_NTH (exp2, (double), __exp2_finite);
+extern float __REDIRECT_NTH (exp2f, (float), __exp2f_finite);
+# ifdef __MATH_DECLARE_LDOUBLE
+#  ifdef __NO_LONG_DOUBLE_MATH
+extern long double __REDIRECT_NTH (exp2l, (long double), __exp2_finite);
+#  else
+extern long double __REDIRECT_NTH (exp2l, (long double), __exp2l_finite);
+#  endif
+# endif
+#endif
+
+/* fmod.  */
+extern double __REDIRECT_NTH (fmod, (double, double), __fmod_finite);
+#ifdef __USE_ISOC99
+extern float __REDIRECT_NTH (fmodf, (float, float), __fmodf_finite);
+# ifdef __MATH_DECLARE_LDOUBLE
+#  ifdef __NO_LONG_DOUBLE_MATH
+extern long double __REDIRECT_NTH (fmodl, (long double, long double),
+				   __fmod_finite);
+#  else
+extern long double __REDIRECT_NTH (fmodl, (long double, long double),
+				   __fmodl_finite);
+#  endif
+# endif
+#endif
+
+#if defined __USE_XOPEN || defined __USE_ISOC99
+/* hypot.  */
+extern double __REDIRECT_NTH (hypot, (double, double), __hypot_finite);
+#endif
+#ifdef __USE_ISOC99
+extern float __REDIRECT_NTH (hypotf, (float, float), __hypotf_finite);
+# ifdef __MATH_DECLARE_LDOUBLE
+#  ifdef __NO_LONG_DOUBLE_MATH
+extern long double __REDIRECT_NTH (hypotl, (long double, long double),
+				   __hypot_finite);
+#  else
+extern long double __REDIRECT_NTH (hypotl, (long double, long double),
+				   __hypotl_finite);
+#  endif
+# endif
+#endif
+
+#if defined __USE_MISC || defined __USE_XOPEN
+/* j0.  */
+extern double __REDIRECT_NTH (j0, (double), __j0_finite);
+#endif
+#if defined __USE_MISC && defined __USE_ISOC99
+extern float __REDIRECT_NTH (j0f, (float), __j0f_finite);
+# ifdef __MATH_DECLARE_LDOUBLE
+#  ifdef __NO_LONG_DOUBLE_MATH
+extern long double __REDIRECT_NTH (j0l, (long double), __j0_finite);
+#  else
+extern long double __REDIRECT_NTH (j0l, (long double), __j0l_finite);
+#  endif
+# endif
+#endif
+
+#if defined __USE_MISC || defined __USE_XOPEN
+/* y0.  */
+extern double __REDIRECT_NTH (y0, (double), __y0_finite);
+#endif
+#if defined __USE_MISC && defined __USE_ISOC99
+extern float __REDIRECT_NTH (y0f, (float), __y0f_finite);
+# ifdef __MATH_DECLARE_LDOUBLE
+#  ifdef __NO_LONG_DOUBLE_MATH
+extern long double __REDIRECT_NTH (y0l, (long double), __y0_finite);
+#  else
+extern long double __REDIRECT_NTH (y0l, (long double), __y0l_finite);
+#  endif
+# endif
+#endif
+
+#if defined __USE_MISC || defined __USE_XOPEN
+/* j1.  */
+extern double __REDIRECT_NTH (j1, (double), __j1_finite);
+#endif
+#if defined __USE_MISC && defined __USE_ISOC99
+extern float __REDIRECT_NTH (j1f, (float), __j1f_finite);
+# ifdef __MATH_DECLARE_LDOUBLE
+#  ifdef __NO_LONG_DOUBLE_MATH
+extern long double __REDIRECT_NTH (j1l, (long double), __j1_finite);
+#  else
+extern long double __REDIRECT_NTH (j1l, (long double), __j1l_finite);
+#  endif
+# endif
+#endif
+
+#if defined __USE_MISC || defined __USE_XOPEN
+/* y1.  */
+extern double __REDIRECT_NTH (y1, (double), __y1_finite);
+#endif
+#if defined __USE_MISC && defined __USE_ISOC99
+extern float __REDIRECT_NTH (y1f, (float), __y1f_finite);
+# ifdef __MATH_DECLARE_LDOUBLE
+#  ifdef __NO_LONG_DOUBLE_MATH
+extern long double __REDIRECT_NTH (y1l, (long double), __y1_finite);
+#  else
+extern long double __REDIRECT_NTH (y1l, (long double), __y1l_finite);
+#  endif
+# endif
+#endif
+
+#if defined __USE_MISC || defined __USE_XOPEN
+/* jn.  */
+extern double __REDIRECT_NTH (jn, (int, double), __jn_finite);
+#endif
+#if defined __USE_MISC && defined __USE_ISOC99
+extern float __REDIRECT_NTH (jnf, (int, float), __jnf_finite);
+# ifdef __MATH_DECLARE_LDOUBLE
+#  ifdef __NO_LONG_DOUBLE_MATH
+extern long double __REDIRECT_NTH (jnl, (int, long double), __jn_finite);
+#  else
+extern long double __REDIRECT_NTH (jnl, (int, long double), __jnl_finite);
+#  endif
+# endif
+#endif
+
+#if defined __USE_MISC || defined __USE_XOPEN
+/* yn.  */
+extern double __REDIRECT_NTH (yn, (int, double), __yn_finite);
+#endif
+#if defined __USE_MISC && defined __USE_ISOC99
+extern float __REDIRECT_NTH (ynf, (int, float), __ynf_finite);
+# ifdef __MATH_DECLARE_LDOUBLE
+#  ifdef __NO_LONG_DOUBLE_MATH
+extern long double __REDIRECT_NTH (ynl, (int, long double), __yn_finite);
+#  else
+extern long double __REDIRECT_NTH (ynl, (int, long double), __ynl_finite);
+#  endif
+# endif
+#endif
+
+#ifdef __USE_MISC
+/* lgamma_r.  */
+extern double __REDIRECT_NTH (lgamma_r, (double, int *), __lgamma_r_finite);
+# ifdef __USE_ISOC99
+extern float __REDIRECT_NTH (lgammaf_r, (float, int *), __lgammaf_r_finite);
+#  ifdef __MATH_DECLARE_LDOUBLE
+#   ifdef __NO_LONG_DOUBLE_MATH
+extern long double __REDIRECT_NTH (lgammal_r, (long double, int *),
+				   __lgamma_r_finite);
+#   else
+extern long double __REDIRECT_NTH (lgammal_r, (long double, int *),
+				   __lgammal_r_finite);
+#   endif
+#  endif
+# endif
+#endif
+
+extern double __lgamma_r_finite (double, int *);
+extern float __lgammaf_r_finite (float, int *);
+#ifdef __NO_LONG_DOUBLE_MATH
+extern long double __REDIRECT_NTH (__lgammal_r_finite, (long double, int *),
+				   __lgamma_r_finite);
+#else
+extern long double __lgammal_r_finite (long double, int *);
+#endif
+
+#if ((defined __USE_XOPEN || defined __USE_ISOC99) \
+     && defined __extern_always_inline)
+/* lgamma.  */
+__extern_always_inline double __NTH (lgamma (double __d))
+{
+# if defined __USE_MISC || defined __USE_XOPEN
+  return __lgamma_r_finite (__d, &signgam);
+# else
+  int __local_signgam = 0;
+  return __lgamma_r_finite (__d, &__local_signgam);
+# endif
+}
+#endif
+#if defined __USE_ISOC99 && defined __extern_always_inline
+__extern_always_inline float __NTH (lgammaf (float __d))
+{
+# if defined __USE_MISC || defined __USE_XOPEN
+  return __lgammaf_r_finite (__d, &signgam);
+# else
+  int __local_signgam = 0;
+  return __lgammaf_r_finite (__d, &__local_signgam);
+# endif
+}
+# ifdef __MATH_DECLARE_LDOUBLE
+__extern_always_inline long double __NTH (lgammal (long double __d))
+{
+# if defined __USE_MISC || defined __USE_XOPEN
+  return __lgammal_r_finite (__d, &signgam);
+# else
+  int __local_signgam = 0;
+  return __lgammal_r_finite (__d, &__local_signgam);
+# endif
+}
+# endif
+#endif
+
+#if ((defined __USE_MISC || (defined __USE_XOPEN && !defined __USE_XOPEN2K)) \
+     && defined __extern_always_inline)
+/* gamma.  */
+__extern_always_inline double __NTH (gamma (double __d))
+{
+  return __lgamma_r_finite (__d, &signgam);
+}
+# ifdef __USE_ISOC99
+__extern_always_inline float __NTH (gammaf (float __d))
+{
+  return __lgammaf_r_finite (__d, &signgam);
+}
+#  ifdef __MATH_DECLARE_LDOUBLE
+__extern_always_inline long double __NTH (gammal (long double __d))
+{
+  return __lgammal_r_finite (__d, &signgam);
+}
+#  endif
+# endif
+#endif
+
+/* log.  */
+extern double __REDIRECT_NTH (log, (double), __log_finite);
+#ifdef __USE_ISOC99
+extern float __REDIRECT_NTH (logf, (float), __logf_finite);
+# ifdef __MATH_DECLARE_LDOUBLE
+#  ifdef __NO_LONG_DOUBLE_MATH
+extern long double __REDIRECT_NTH (logl, (long double), __log_finite);
+#  else
+extern long double __REDIRECT_NTH (logl, (long double), __logl_finite);
+#  endif
+# endif
+#endif
+
+/* log10.  */
+extern double __REDIRECT_NTH (log10, (double), __log10_finite);
+#ifdef __USE_ISOC99
+extern float __REDIRECT_NTH (log10f, (float), __log10f_finite);
+# ifdef __MATH_DECLARE_LDOUBLE
+#  ifdef __NO_LONG_DOUBLE_MATH
+extern long double __REDIRECT_NTH (log10l, (long double), __log10_finite);
+#  else
+extern long double __REDIRECT_NTH (log10l, (long double), __log10l_finite);
+#  endif
+# endif
+#endif
+
+#ifdef __USE_ISOC99
+/* log2.  */
+extern double __REDIRECT_NTH (log2, (double), __log2_finite);
+extern float __REDIRECT_NTH (log2f, (float), __log2f_finite);
+# ifdef __MATH_DECLARE_LDOUBLE
+#  ifdef __NO_LONG_DOUBLE_MATH
+extern long double __REDIRECT_NTH (log2l, (long double), __log2_finite);
+#  else
+extern long double __REDIRECT_NTH (log2l, (long double), __log2l_finite);
+#  endif
+# endif
+#endif
+
+/* pow.  */
+extern double __REDIRECT_NTH (pow, (double, double), __pow_finite);
+#ifdef __USE_ISOC99
+extern float __REDIRECT_NTH (powf, (float, float), __powf_finite);
+# ifdef __MATH_DECLARE_LDOUBLE
+#  ifdef __NO_LONG_DOUBLE_MATH
+extern long double __REDIRECT_NTH (powl, (long double, long double),
+				   __pow_finite);
+#  else
+extern long double __REDIRECT_NTH (powl, (long double, long double),
+				   __powl_finite);
+#  endif
+# endif
+#endif
+
+#if defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
+/* remainder.  */
+extern double __REDIRECT_NTH (remainder, (double, double), __remainder_finite);
+#endif
+#ifdef __USE_ISOC99
+extern float __REDIRECT_NTH (remainderf, (float, float), __remainderf_finite);
+# ifdef __MATH_DECLARE_LDOUBLE
+#  ifdef __NO_LONG_DOUBLE_MATH
+extern long double __REDIRECT_NTH (remainderl, (long double, long double),
+				   __remainder_finite);
+#  else
+extern long double __REDIRECT_NTH (remainderl, (long double, long double),
+				   __remainderl_finite);
+#  endif
+# endif
+#endif
+
+#if (defined __USE_MISC							\
+     || (defined __USE_XOPEN_EXTENDED && !defined __USE_XOPEN2K8))
+/* scalb.  */
+extern double __REDIRECT_NTH (scalb, (double, double), __scalb_finite);
+#endif
+#if defined __USE_MISC && defined __USE_ISOC99
+extern float __REDIRECT_NTH (scalbf, (float, float), __scalbf_finite);
+# ifdef __MATH_DECLARE_LDOUBLE
+#  ifdef __NO_LONG_DOUBLE_MATH
+extern long double __REDIRECT_NTH (scalbl, (long double, long double),
+				   __scalb_finite);
+#  else
+extern long double __REDIRECT_NTH (scalbl, (long double, long double),
+				   __scalbl_finite);
+#  endif
+# endif
+#endif
+
+/* sinh.  */
+extern double __REDIRECT_NTH (sinh, (double), __sinh_finite);
+#ifdef __USE_ISOC99
+extern float __REDIRECT_NTH (sinhf, (float), __sinhf_finite);
+# ifdef __MATH_DECLARE_LDOUBLE
+#  ifdef __NO_LONG_DOUBLE_MATH
+extern long double __REDIRECT_NTH (sinhl, (long double), __sinh_finite);
+#  else
+extern long double __REDIRECT_NTH (sinhl, (long double), __sinhl_finite);
+#  endif
+# endif
+#endif
+
+/* sqrt.  */
+extern double __REDIRECT_NTH (sqrt, (double), __sqrt_finite);
+#ifdef __USE_ISOC99
+extern float __REDIRECT_NTH (sqrtf, (float), __sqrtf_finite);
+# ifdef __MATH_DECLARE_LDOUBLE
+#  ifdef __NO_LONG_DOUBLE_MATH
+extern long double __REDIRECT_NTH (sqrtl, (long double), __sqrt_finite);
+#  else
+extern long double __REDIRECT_NTH (sqrtl, (long double), __sqrtl_finite);
+#  endif
+# endif
+#endif
+
+#if defined __USE_ISOC99 && defined __extern_always_inline
+/* tgamma.  */
+extern double __gamma_r_finite (double, int *);
+__extern_always_inline double __NTH (tgamma (double __d))
+{
+  int __local_signgam = 0;
+  double __res = __gamma_r_finite (__d, &__local_signgam);
+  return __local_signgam < 0 ? -__res : __res;
+}
+extern float __gammaf_r_finite (float, int *);
+__extern_always_inline float __NTH (tgammaf (float __d))
+{
+  int __local_signgam = 0;
+  float __res = __gammaf_r_finite (__d, &__local_signgam);
+  return __local_signgam < 0 ? -__res : __res;
+}
+# ifdef __MATH_DECLARE_LDOUBLE
+extern long double __gammal_r_finite (long double, int *);
+__extern_always_inline long double __NTH (tgammal (long double __d))
+{
+  int __local_signgam = 0;
+#  ifdef __NO_LONG_DOUBLE_MATH
+  long double __res = __gamma_r_finite (__d, &__local_signgam);
+#  else
+  long double __res = __gammal_r_finite (__d, &__local_signgam);
+#  endif
+  return __local_signgam < 0 ? -__res : __res;
+}
+# endif
+#endif
diff --git a/ap/libc/glibc/glibc-2.23/math/bits/mathcalls.h b/ap/libc/glibc/glibc-2.23/math/bits/mathcalls.h
new file mode 100644
index 0000000..9a7b3f0
--- /dev/null
+++ b/ap/libc/glibc/glibc-2.23/math/bits/mathcalls.h
@@ -0,0 +1,384 @@
+/* Prototype declarations for math functions; helper file for <math.h>.
+   Copyright (C) 1996-2016 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   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/>.  */
+
+/* NOTE: Because of the special way this file is used by <math.h>, this
+   file must NOT be protected from multiple inclusion as header files
+   usually are.
+
+   This file provides prototype declarations for the math functions.
+   Most functions are declared using the macro:
+
+   __MATHCALL (NAME,[_r], (ARGS...));
+
+   This means there is a function `NAME' returning `double' and a function
+   `NAMEf' returning `float'.  Each place `_Mdouble_' appears in the
+   prototype, that is actually `double' in the prototype for `NAME' and
+   `float' in the prototype for `NAMEf'.  Reentrant variant functions are
+   called `NAME_r' and `NAMEf_r'.
+
+   Functions returning other types like `int' are declared using the macro:
+
+   __MATHDECL (TYPE, NAME,[_r], (ARGS...));
+
+   This is just like __MATHCALL but for a function returning `TYPE'
+   instead of `_Mdouble_'.  In all of these cases, there is still
+   both a `NAME' and a `NAMEf' that takes `float' arguments.
+
+   Note that there must be no whitespace before the argument passed for
+   NAME, to make token pasting work with -traditional.  */
+
+#ifndef _MATH_H
+# error "Never include <bits/mathcalls.h> directly; include <math.h> instead."
+#endif
+
+
+/* Trigonometric functions.  */
+
+_Mdouble_BEGIN_NAMESPACE
+/* Arc cosine of X.  */
+__MATHCALL (acos,, (_Mdouble_ __x));
+/* Arc sine of X.  */
+__MATHCALL (asin,, (_Mdouble_ __x));
+/* Arc tangent of X.  */
+__MATHCALL (atan,, (_Mdouble_ __x));
+/* Arc tangent of Y/X.  */
+__MATHCALL (atan2,, (_Mdouble_ __y, _Mdouble_ __x));
+
+/* Cosine of X.  */
+__MATHCALL_VEC (cos,, (_Mdouble_ __x));
+/* Sine of X.  */
+__MATHCALL_VEC (sin,, (_Mdouble_ __x));
+/* Tangent of X.  */
+__MATHCALL (tan,, (_Mdouble_ __x));
+
+/* Hyperbolic functions.  */
+
+/* Hyperbolic cosine of X.  */
+__MATHCALL (cosh,, (_Mdouble_ __x));
+/* Hyperbolic sine of X.  */
+__MATHCALL (sinh,, (_Mdouble_ __x));
+/* Hyperbolic tangent of X.  */
+__MATHCALL (tanh,, (_Mdouble_ __x));
+_Mdouble_END_NAMESPACE
+
+#ifdef __USE_GNU
+/* Cosine and sine of X.  */
+__MATHDECL_VEC (void,sincos,,
+		(_Mdouble_ __x, _Mdouble_ *__sinx, _Mdouble_ *__cosx));
+#endif
+
+#if defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
+__BEGIN_NAMESPACE_C99
+/* Hyperbolic arc cosine of X.  */
+__MATHCALL (acosh,, (_Mdouble_ __x));
+/* Hyperbolic arc sine of X.  */
+__MATHCALL (asinh,, (_Mdouble_ __x));
+/* Hyperbolic arc tangent of X.  */
+__MATHCALL (atanh,, (_Mdouble_ __x));
+__END_NAMESPACE_C99
+#endif
+
+/* Exponential and logarithmic functions.  */
+
+_Mdouble_BEGIN_NAMESPACE
+/* Exponential function of X.  */
+__MATHCALL_VEC (exp,, (_Mdouble_ __x));
+
+/* Break VALUE into a normalized fraction and an integral power of 2.  */
+__MATHCALL (frexp,, (_Mdouble_ __x, int *__exponent));
+
+/* X times (two to the EXP power).  */
+__MATHCALL (ldexp,, (_Mdouble_ __x, int __exponent));
+
+/* Natural logarithm of X.  */
+__MATHCALL_VEC (log,, (_Mdouble_ __x));
+
+/* Base-ten logarithm of X.  */
+__MATHCALL (log10,, (_Mdouble_ __x));
+
+/* Break VALUE into integral and fractional parts.  */
+__MATHCALL (modf,, (_Mdouble_ __x, _Mdouble_ *__iptr)) __nonnull ((2));
+_Mdouble_END_NAMESPACE
+
+#ifdef __USE_GNU
+/* A function missing in all standards: compute exponent to base ten.  */
+__MATHCALL (exp10,, (_Mdouble_ __x));
+/* Another name occasionally used.  */
+__MATHCALL (pow10,, (_Mdouble_ __x));
+#endif
+
+#if defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
+__BEGIN_NAMESPACE_C99
+/* Return exp(X) - 1.  */
+__MATHCALL (expm1,, (_Mdouble_ __x));
+
+/* Return log(1 + X).  */
+__MATHCALL (log1p,, (_Mdouble_ __x));
+
+/* Return the base 2 signed integral exponent of X.  */
+__MATHCALL (logb,, (_Mdouble_ __x));
+__END_NAMESPACE_C99
+#endif
+
+#ifdef __USE_ISOC99
+__BEGIN_NAMESPACE_C99
+/* Compute base-2 exponential of X.  */
+__MATHCALL (exp2,, (_Mdouble_ __x));
+
+/* Compute base-2 logarithm of X.  */
+__MATHCALL (log2,, (_Mdouble_ __x));
+__END_NAMESPACE_C99
+#endif
+
+
+/* Power functions.  */
+
+_Mdouble_BEGIN_NAMESPACE
+/* Return X to the Y power.  */
+__MATHCALL_VEC (pow,, (_Mdouble_ __x, _Mdouble_ __y));
+
+/* Return the square root of X.  */
+__MATHCALL (sqrt,, (_Mdouble_ __x));
+_Mdouble_END_NAMESPACE
+
+#if defined __USE_XOPEN || defined __USE_ISOC99
+__BEGIN_NAMESPACE_C99
+/* Return `sqrt(X*X + Y*Y)'.  */
+__MATHCALL (hypot,, (_Mdouble_ __x, _Mdouble_ __y));
+__END_NAMESPACE_C99
+#endif
+
+#if defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
+__BEGIN_NAMESPACE_C99
+/* Return the cube root of X.  */
+__MATHCALL (cbrt,, (_Mdouble_ __x));
+__END_NAMESPACE_C99
+#endif
+
+
+/* Nearest integer, absolute value, and remainder functions.  */
+
+_Mdouble_BEGIN_NAMESPACE
+/* Smallest integral value not less than X.  */
+__MATHCALLX (ceil,, (_Mdouble_ __x), (__const__));
+
+/* Absolute value of X.  */
+__MATHCALLX (fabs,, (_Mdouble_ __x), (__const__));
+
+/* Largest integer not greater than X.  */
+__MATHCALLX (floor,, (_Mdouble_ __x), (__const__));
+
+/* Floating-point modulo remainder of X/Y.  */
+__MATHCALL (fmod,, (_Mdouble_ __x, _Mdouble_ __y));
+
+
+/* Return 0 if VALUE is finite or NaN, +1 if it
+   is +Infinity, -1 if it is -Infinity.  */
+__MATHDECL_1 (int,__isinf,, (_Mdouble_ __value)) __attribute__ ((__const__));
+
+/* Return nonzero if VALUE is finite and not NaN.  */
+__MATHDECL_1 (int,__finite,, (_Mdouble_ __value)) __attribute__ ((__const__));
+_Mdouble_END_NAMESPACE
+
+#ifdef __USE_MISC
+# if (!defined __cplusplus \
+      || __cplusplus < 201103L /* isinf conflicts with C++11.  */ \
+      || __MATH_DECLARING_DOUBLE == 0) /* isinff or isinfl don't.  */
+/* Return 0 if VALUE is finite or NaN, +1 if it
+   is +Infinity, -1 if it is -Infinity.  */
+__MATHDECL_1 (int,isinf,, (_Mdouble_ __value)) __attribute__ ((__const__));
+# endif
+
+/* Return nonzero if VALUE is finite and not NaN.  */
+__MATHDECL_1 (int,finite,, (_Mdouble_ __value)) __attribute__ ((__const__));
+
+/* Return the remainder of X/Y.  */
+__MATHCALL (drem,, (_Mdouble_ __x, _Mdouble_ __y));
+
+
+/* Return the fractional part of X after dividing out `ilogb (X)'.  */
+__MATHCALL (significand,, (_Mdouble_ __x));
+#endif /* Use misc.  */
+
+#ifdef __USE_ISOC99
+__BEGIN_NAMESPACE_C99
+/* Return X with its signed changed to Y's.  */
+__MATHCALLX (copysign,, (_Mdouble_ __x, _Mdouble_ __y), (__const__));
+__END_NAMESPACE_C99
+#endif
+
+#ifdef __USE_ISOC99
+__BEGIN_NAMESPACE_C99
+/* Return representation of qNaN for double type.  */
+__MATHCALLX (nan,, (const char *__tagb), (__const__));
+__END_NAMESPACE_C99
+#endif
+
+
+/* Return nonzero if VALUE is not a number.  */
+__MATHDECL_1 (int,__isnan,, (_Mdouble_ __value)) __attribute__ ((__const__));
+
+#if defined __USE_MISC || (defined __USE_XOPEN && !defined __USE_XOPEN2K)
+# if (!defined __cplusplus \
+      || __cplusplus < 201103L /* isnan conflicts with C++11.  */ \
+      || __MATH_DECLARING_DOUBLE == 0) /* isnanf or isnanl don't.  */
+/* Return nonzero if VALUE is not a number.  */
+__MATHDECL_1 (int,isnan,, (_Mdouble_ __value)) __attribute__ ((__const__));
+# endif
+#endif
+
+#if defined __USE_MISC || (defined __USE_XOPEN && __MATH_DECLARING_DOUBLE)
+/* Bessel functions.  */
+__MATHCALL (j0,, (_Mdouble_));
+__MATHCALL (j1,, (_Mdouble_));
+__MATHCALL (jn,, (int, _Mdouble_));
+__MATHCALL (y0,, (_Mdouble_));
+__MATHCALL (y1,, (_Mdouble_));
+__MATHCALL (yn,, (int, _Mdouble_));
+#endif
+
+
+#if defined __USE_XOPEN || defined __USE_ISOC99
+__BEGIN_NAMESPACE_C99
+/* Error and gamma functions.  */
+__MATHCALL (erf,, (_Mdouble_));
+__MATHCALL (erfc,, (_Mdouble_));
+__MATHCALL (lgamma,, (_Mdouble_));
+__END_NAMESPACE_C99
+#endif
+
+#ifdef __USE_ISOC99
+__BEGIN_NAMESPACE_C99
+/* True gamma function.  */
+__MATHCALL (tgamma,, (_Mdouble_));
+__END_NAMESPACE_C99
+#endif
+
+#if defined __USE_MISC || (defined __USE_XOPEN && !defined __USE_XOPEN2K)
+/* Obsolete alias for `lgamma'.  */
+__MATHCALL (gamma,, (_Mdouble_));
+#endif
+
+#ifdef __USE_MISC
+/* Reentrant version of lgamma.  This function uses the global variable
+   `signgam'.  The reentrant version instead takes a pointer and stores
+   the value through it.  */
+__MATHCALL (lgamma,_r, (_Mdouble_, int *__signgamp));
+#endif
+
+
+#if defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
+__BEGIN_NAMESPACE_C99
+/* Return the integer nearest X in the direction of the
+   prevailing rounding mode.  */
+__MATHCALL (rint,, (_Mdouble_ __x));
+
+/* Return X + epsilon if X < Y, X - epsilon if X > Y.  */
+__MATHCALLX (nextafter,, (_Mdouble_ __x, _Mdouble_ __y), (__const__));
+# if defined __USE_ISOC99 && !defined __LDBL_COMPAT
+__MATHCALLX (nexttoward,, (_Mdouble_ __x, long double __y), (__const__));
+# endif
+
+/* Return the remainder of integer divison X / Y with infinite precision.  */
+__MATHCALL (remainder,, (_Mdouble_ __x, _Mdouble_ __y));
+
+# ifdef __USE_ISOC99
+/* Return X times (2 to the Nth power).  */
+__MATHCALL (scalbn,, (_Mdouble_ __x, int __n));
+# endif
+
+/* Return the binary exponent of X, which must be nonzero.  */
+__MATHDECL (int,ilogb,, (_Mdouble_ __x));
+#endif
+
+#ifdef __USE_ISOC99
+/* Return X times (2 to the Nth power).  */
+__MATHCALL (scalbln,, (_Mdouble_ __x, long int __n));
+
+/* Round X to integral value in floating-point format using current
+   rounding direction, but do not raise inexact exception.  */
+__MATHCALL (nearbyint,, (_Mdouble_ __x));
+
+/* Round X to nearest integral value, rounding halfway cases away from
+   zero.  */
+__MATHCALLX (round,, (_Mdouble_ __x), (__const__));
+
+/* Round X to the integral value in floating-point format nearest but
+   not larger in magnitude.  */
+__MATHCALLX (trunc,, (_Mdouble_ __x), (__const__));
+
+/* Compute remainder of X and Y and put in *QUO a value with sign of x/y
+   and magnitude congruent `mod 2^n' to the magnitude of the integral
+   quotient x/y, with n >= 3.  */
+__MATHCALL (remquo,, (_Mdouble_ __x, _Mdouble_ __y, int *__quo));
+
+
+/* Conversion functions.  */
+
+/* Round X to nearest integral value according to current rounding
+   direction.  */
+__MATHDECL (long int,lrint,, (_Mdouble_ __x));
+__extension__
+__MATHDECL (long long int,llrint,, (_Mdouble_ __x));
+
+/* Round X to nearest integral value, rounding halfway cases away from
+   zero.  */
+__MATHDECL (long int,lround,, (_Mdouble_ __x));
+__extension__
+__MATHDECL (long long int,llround,, (_Mdouble_ __x));
+
+
+/* Return positive difference between X and Y.  */
+__MATHCALL (fdim,, (_Mdouble_ __x, _Mdouble_ __y));
+
+/* Return maximum numeric value from X and Y.  */
+__MATHCALLX (fmax,, (_Mdouble_ __x, _Mdouble_ __y), (__const__));
+
+/* Return minimum numeric value from X and Y.  */
+__MATHCALLX (fmin,, (_Mdouble_ __x, _Mdouble_ __y), (__const__));
+
+
+/* Classify given number.  */
+__MATHDECL_1 (int, __fpclassify,, (_Mdouble_ __value))
+     __attribute__ ((__const__));
+
+/* Test for negative number.  */
+__MATHDECL_1 (int, __signbit,, (_Mdouble_ __value))
+     __attribute__ ((__const__));
+
+
+/* Multiply-add function computed as a ternary operation.  */
+__MATHCALL (fma,, (_Mdouble_ __x, _Mdouble_ __y, _Mdouble_ __z));
+#endif /* Use ISO C99.  */
+
+#if defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
+__END_NAMESPACE_C99
+#endif
+
+#ifdef __USE_GNU
+/* Test for signaling NaN.  */
+__MATHDECL_1 (int, __issignaling,, (_Mdouble_ __value))
+     __attribute__ ((__const__));
+#endif
+
+#if defined __USE_MISC || (defined __USE_XOPEN_EXTENDED \
+			   && __MATH_DECLARING_DOUBLE	\
+			   && !defined __USE_XOPEN2K8)
+/* Return X times (2 to the Nth power).  */
+__MATHCALL (scalb,, (_Mdouble_ __x, _Mdouble_ __n));
+#endif