diff --git a/ap/libc/glibc/glibc-2.23/stdlib/gmp.h b/ap/libc/glibc/glibc-2.23/stdlib/gmp.h
new file mode 100644
index 0000000..a92fd36
--- /dev/null
+++ b/ap/libc/glibc/glibc-2.23/stdlib/gmp.h
@@ -0,0 +1,623 @@
+/* gmp.h -- Definitions for GNU multiple precision functions.
+
+Copyright (C) 1991-2016 Free Software Foundation, Inc.
+
+This file is part of the GNU MP Library.
+
+The GNU MP 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 MP 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 MP Library; see the file COPYING.LIB.  If not, see
+<http://www.gnu.org/licenses/>.  */
+
+#ifndef __GMP_H__
+
+#include <features.h>
+
+#ifndef __GNU_MP__
+#define __GNU_MP__ 2
+#define __need_size_t
+#include <stddef.h>
+#undef __need_size_t
+
+#if defined (__STDC__) || defined (__cplusplus)
+#define __gmp_const const
+#else
+#define __gmp_const
+#endif
+
+#if defined (__GNUC__)
+#define __gmp_inline __inline__
+#else
+#define __gmp_inline
+#endif
+
+#ifndef _EXTERN_INLINE
+#ifdef __GNUC__
+#define _EXTERN_INLINE __extern_inline
+#else
+#define _EXTERN_INLINE static
+#endif
+#endif
+
+#ifdef _SHORT_LIMB
+typedef unsigned int		mp_limb_t;
+typedef int			mp_limb_signed_t;
+#else
+#ifdef _LONG_LONG_LIMB
+typedef unsigned long long int	mp_limb_t;
+typedef long long int		mp_limb_signed_t;
+#else
+typedef unsigned long int	mp_limb_t;
+typedef long int		mp_limb_signed_t;
+#endif
+#endif
+
+typedef mp_limb_t *		mp_ptr;
+typedef __gmp_const mp_limb_t *	mp_srcptr;
+typedef long int		mp_size_t;
+typedef long int		mp_exp_t;
+
+#ifndef __MP_SMALL__
+typedef struct
+{
+  int _mp_alloc;		/* Number of *limbs* allocated and pointed
+				   to by the D field.  */
+  int _mp_size;			/* abs(SIZE) is the number of limbs
+				   the last field points to.  If SIZE
+				   is negative this is a negative
+				   number.  */
+  mp_limb_t *_mp_d;		/* Pointer to the limbs.  */
+} __mpz_struct;
+#else
+typedef struct
+{
+  short int _mp_alloc;		/* Number of *limbs* allocated and pointed
+				   to by the D field.  */
+  short int _mp_size;		/* abs(SIZE) is the number of limbs
+				   the last field points to.  If SIZE
+				   is negative this is a negative
+				   number.  */
+  mp_limb_t *_mp_d;		/* Pointer to the limbs.  */
+} __mpz_struct;
+#endif
+#endif /* __GNU_MP__ */
+
+/* User-visible types.  */
+typedef __mpz_struct MP_INT;
+typedef __mpz_struct mpz_t[1];
+
+/* Structure for rational numbers.  Zero is represented as 0/any, i.e.
+   the denominator is ignored.  Negative numbers have the sign in
+   the numerator.  */
+typedef struct
+{
+  __mpz_struct _mp_num;
+  __mpz_struct _mp_den;
+#if 0
+  int _mp_num_alloc;		/* Number of limbs allocated
+				   for the numerator.  */
+  int _mp_num_size;		/* The absolute value of this field is the
+				   length of the numerator; the sign is the
+				   sign of the entire rational number.  */
+  mp_ptr _mp_num;		/* Pointer to the numerator limbs.  */
+  int _mp_den_alloc;		/* Number of limbs allocated
+				   for the denominator.  */
+  int _mp_den_size;		/* Length of the denominator.  (This field
+				   should always be positive.) */
+  mp_ptr _mp_den;		/* Pointer to the denominator limbs.  */
+#endif
+} __mpq_struct;
+
+typedef __mpq_struct MP_RAT;
+typedef __mpq_struct mpq_t[1];
+
+typedef struct
+{
+  int _mp_prec;			/* Max precision, in number of `mp_limb_t's.
+				   Set by mpf_init and modified by
+				   mpf_set_prec.  The area pointed to
+				   by the `d' field contains `prec' + 1
+				   limbs.  */
+  int _mp_size;			/* abs(SIZE) is the number of limbs
+				   the last field points to.  If SIZE
+				   is negative this is a negative
+				   number.  */
+  mp_exp_t _mp_exp;		/* Exponent, in the base of `mp_limb_t'.  */
+  mp_limb_t *_mp_d;		/* Pointer to the limbs.  */
+} __mpf_struct;
+
+/* typedef __mpf_struct MP_FLOAT; */
+typedef __mpf_struct mpf_t[1];
+
+/* Types for function declarations in gmp files.  */
+/* ??? Should not pollute user name space with these ??? */
+typedef __gmp_const __mpz_struct *mpz_srcptr;
+typedef __mpz_struct *mpz_ptr;
+typedef __gmp_const __mpf_struct *mpf_srcptr;
+typedef __mpf_struct *mpf_ptr;
+typedef __gmp_const __mpq_struct *mpq_srcptr;
+typedef __mpq_struct *mpq_ptr;
+
+#ifndef _PROTO
+#if defined (__STDC__) || defined (__cplusplus)
+#define _PROTO(x) x
+#else
+#define _PROTO(x) ()
+#endif
+#endif
+
+#ifndef __MPN
+#if defined (__STDC__) || defined (__cplusplus)
+#define __MPN(x) __mpn_##x
+#else
+#define __MPN(x) __mpn_/**/x
+#endif
+#endif
+
+#if defined (FILE) || defined (_STDIO_H_) || defined (__STDIO_H__) || defined (H_STDIO)
+#define _GMP_H_HAVE_FILE 1
+#endif
+
+void mp_set_memory_functions _PROTO ((void *(*) (size_t),
+				      void *(*) (void *, size_t, size_t),
+				      void (*) (void *, size_t)));
+extern const int mp_bits_per_limb;
+
+/**************** Integer (i.e. Z) routines.  ****************/
+
+#if defined (__cplusplus)
+extern "C" {
+#endif
+void *_mpz_realloc _PROTO ((mpz_ptr, mp_size_t));
+
+void mpz_abs _PROTO ((mpz_ptr, mpz_srcptr));
+void mpz_add _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
+void mpz_add_ui _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
+void mpz_and _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
+void mpz_array_init _PROTO ((mpz_ptr, mp_size_t, mp_size_t));
+void mpz_cdiv_q _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
+unsigned long int mpz_cdiv_q_ui _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
+void mpz_cdiv_qr _PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr));
+unsigned long int mpz_cdiv_qr_ui _PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int));
+void mpz_cdiv_r _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
+unsigned long int mpz_cdiv_r_ui _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
+unsigned long int mpz_cdiv_ui _PROTO ((mpz_srcptr, unsigned long int));
+void mpz_clear _PROTO ((mpz_ptr));
+void mpz_clrbit _PROTO ((mpz_ptr, unsigned long int));
+int mpz_cmp _PROTO ((mpz_srcptr, mpz_srcptr));
+int mpz_cmp_si _PROTO ((mpz_srcptr, signed long int));
+int mpz_cmp_ui _PROTO ((mpz_srcptr, unsigned long int));
+void mpz_com _PROTO ((mpz_ptr, mpz_srcptr));
+void mpz_divexact _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
+void mpz_fac_ui _PROTO ((mpz_ptr, unsigned long int));
+void mpz_fdiv_q _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
+void mpz_fdiv_q_2exp _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
+unsigned long int mpz_fdiv_q_ui _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
+void mpz_fdiv_qr _PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr));
+unsigned long int mpz_fdiv_qr_ui _PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int));
+void mpz_fdiv_r _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
+void mpz_fdiv_r_2exp _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
+unsigned long int mpz_fdiv_r_ui _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
+unsigned long int mpz_fdiv_ui _PROTO ((mpz_srcptr, unsigned long int));
+void mpz_gcd _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
+unsigned long int mpz_gcd_ui _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
+void mpz_gcdext _PROTO ((mpz_ptr, mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr));
+/* signed */ long int mpz_get_si _PROTO ((mpz_srcptr));
+char *mpz_get_str _PROTO ((char *, int, mpz_srcptr));
+unsigned long int mpz_get_ui _PROTO ((mpz_srcptr));
+mp_limb_t mpz_getlimbn _PROTO ((mpz_srcptr, mp_size_t));
+unsigned long int mpz_hamdist _PROTO ((mpz_srcptr, mpz_srcptr));
+void mpz_init _PROTO ((mpz_ptr));
+#ifdef _GMP_H_HAVE_FILE
+size_t mpz_inp_binary _PROTO ((mpz_ptr, FILE *));
+size_t mpz_inp_raw _PROTO ((mpz_ptr, FILE *));
+size_t mpz_inp_str _PROTO ((mpz_ptr, FILE *, int));
+#endif
+void mpz_init_set _PROTO ((mpz_ptr, mpz_srcptr));
+void mpz_init_set_d _PROTO ((mpz_ptr, double));
+void mpz_init_set_si _PROTO ((mpz_ptr, signed long int));
+int mpz_init_set_str _PROTO ((mpz_ptr, const char *, int));
+void mpz_init_set_ui _PROTO ((mpz_ptr, unsigned long int));
+int mpz_invert _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
+void mpz_ior _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
+int mpz_jacobi _PROTO ((mpz_srcptr, mpz_srcptr));
+int mpz_legendre _PROTO ((mpz_srcptr, mpz_srcptr));
+void mpz_mod _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
+void mpz_mul _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
+void mpz_mul_2exp _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
+void mpz_mul_ui _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
+void mpz_neg _PROTO ((mpz_ptr, mpz_srcptr));
+#ifdef _GMP_H_HAVE_FILE
+size_t mpz_out_binary _PROTO ((FILE *, mpz_srcptr));
+size_t mpz_out_raw _PROTO ((FILE *, mpz_srcptr));
+size_t mpz_out_str _PROTO ((FILE *, int, mpz_srcptr));
+#endif
+int mpz_perfect_square_p _PROTO ((mpz_srcptr));
+unsigned long int mpz_popcount _PROTO ((mpz_srcptr));
+void mpz_pow_ui _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
+void mpz_powm _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr, mpz_srcptr));
+void mpz_powm_ui _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int, mpz_srcptr));
+int mpz_probab_prime_p _PROTO ((mpz_srcptr, int));
+void mpz_random _PROTO ((mpz_ptr, mp_size_t));
+void mpz_random2 _PROTO ((mpz_ptr, mp_size_t));
+unsigned long int mpz_scan0 _PROTO ((mpz_srcptr, unsigned long int));
+unsigned long int mpz_scan1 _PROTO ((mpz_srcptr, unsigned long int));
+void mpz_set _PROTO ((mpz_ptr, mpz_srcptr));
+void mpz_set_d _PROTO ((mpz_ptr, double));
+void mpz_set_si _PROTO ((mpz_ptr, signed long int));
+int mpz_set_str _PROTO ((mpz_ptr, const char *, int));
+void mpz_set_ui _PROTO ((mpz_ptr, unsigned long int));
+void mpz_setbit _PROTO ((mpz_ptr, unsigned long int));
+size_t mpz_size _PROTO ((mpz_srcptr));
+size_t mpz_sizeinbase _PROTO ((mpz_srcptr, int));
+void mpz_sqrt _PROTO ((mpz_ptr, mpz_srcptr));
+void mpz_sqrtrem _PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr));
+void mpz_sub _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
+void mpz_sub_ui _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
+void mpz_tdiv_q _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
+void mpz_tdiv_q_2exp _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
+void mpz_tdiv_q_ui _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
+void mpz_tdiv_qr _PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr));
+void mpz_tdiv_qr_ui _PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int));
+void mpz_tdiv_r _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
+void mpz_tdiv_r_2exp _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
+void mpz_tdiv_r_ui _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
+void mpz_ui_pow_ui _PROTO ((mpz_ptr, unsigned long int, unsigned long int));
+
+/**************** Rational (i.e. Q) routines.  ****************/
+
+void mpq_init _PROTO ((mpq_ptr));
+void mpq_clear _PROTO ((mpq_ptr));
+void mpq_set _PROTO ((mpq_ptr, mpq_srcptr));
+void mpq_set_ui _PROTO ((mpq_ptr, unsigned long int, unsigned long int));
+void mpq_set_si _PROTO ((mpq_ptr, signed long int, unsigned long int));
+void mpq_add _PROTO ((mpq_ptr, mpq_srcptr, mpq_srcptr));
+void mpq_sub _PROTO ((mpq_ptr, mpq_srcptr, mpq_srcptr));
+void mpq_mul _PROTO ((mpq_ptr, mpq_srcptr, mpq_srcptr));
+void mpq_div _PROTO ((mpq_ptr, mpq_srcptr, mpq_srcptr));
+void mpq_neg _PROTO ((mpq_ptr, mpq_srcptr));
+int mpq_cmp _PROTO ((mpq_srcptr, mpq_srcptr));
+int mpq_cmp_ui _PROTO ((mpq_srcptr, unsigned long int, unsigned long int));
+void mpq_inv _PROTO ((mpq_ptr, mpq_srcptr));
+void mpq_set_num _PROTO ((mpq_ptr, mpz_srcptr));
+void mpq_set_den _PROTO ((mpq_ptr, mpz_srcptr));
+void mpq_get_num _PROTO ((mpz_ptr, mpq_srcptr));
+void mpq_get_den _PROTO ((mpz_ptr, mpq_srcptr));
+double mpq_get_d _PROTO ((mpq_srcptr));
+void mpq_canonicalize _PROTO ((mpq_ptr));
+
+/**************** Float (i.e. F) routines.  ****************/
+
+void mpf_abs _PROTO ((mpf_ptr, mpf_srcptr));
+void mpf_add _PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr));
+void mpf_add_ui _PROTO ((mpf_ptr, mpf_srcptr, unsigned long int));
+void mpf_clear _PROTO ((mpf_ptr));
+int mpf_cmp _PROTO ((mpf_srcptr, mpf_srcptr));
+int mpf_cmp_si _PROTO ((mpf_srcptr, signed long int));
+int mpf_cmp_ui _PROTO ((mpf_srcptr, unsigned long int));
+void mpf_div _PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr));
+void mpf_div_2exp _PROTO ((mpf_ptr, mpf_srcptr, unsigned long int));
+void mpf_div_ui _PROTO ((mpf_ptr, mpf_srcptr, unsigned long int));
+void mpf_dump _PROTO ((mpf_srcptr));
+int mpf_eq _PROTO ((mpf_srcptr, mpf_srcptr, unsigned long int));
+unsigned long int mpf_get_prec _PROTO ((mpf_srcptr));
+char *mpf_get_str _PROTO ((char *, mp_exp_t *, int, size_t, mpf_srcptr));
+void mpf_init _PROTO ((mpf_ptr));
+void mpf_init2 _PROTO ((mpf_ptr, unsigned long int));
+#ifdef _GMP_H_HAVE_FILE
+size_t mpf_inp_str _PROTO ((mpf_ptr, FILE *, int));
+#endif
+void mpf_init_set _PROTO ((mpf_ptr, mpf_srcptr));
+void mpf_init_set_d _PROTO ((mpf_ptr, double));
+void mpf_init_set_si _PROTO ((mpf_ptr, signed long int));
+int mpf_init_set_str _PROTO ((mpf_ptr, char *, int));
+void mpf_init_set_ui _PROTO ((mpf_ptr, unsigned long int));
+void mpf_mul _PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr));
+void mpf_mul_2exp _PROTO ((mpf_ptr, mpf_srcptr, unsigned long int));
+void mpf_mul_ui _PROTO ((mpf_ptr, mpf_srcptr, unsigned long int));
+void mpf_neg _PROTO ((mpf_ptr, mpf_srcptr));
+#ifdef _GMP_H_HAVE_FILE
+size_t mpf_out_str _PROTO ((FILE *, int, size_t, mpf_srcptr));
+#endif
+void mpf_random2 _PROTO ((mpf_ptr, mp_size_t, mp_exp_t));
+void mpf_reldiff _PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr));
+void mpf_set _PROTO ((mpf_ptr, mpf_srcptr));
+void mpf_set_d _PROTO ((mpf_ptr, double));
+void mpf_set_default_prec _PROTO ((unsigned long int));
+void mpf_set_prec _PROTO ((mpf_ptr, unsigned long int));
+void mpf_set_prec_raw _PROTO ((mpf_ptr, unsigned long int));
+void mpf_set_si _PROTO ((mpf_ptr, signed long int));
+int mpf_set_str _PROTO ((mpf_ptr, const char *, int));
+void mpf_set_ui _PROTO ((mpf_ptr, unsigned long int));
+size_t mpf_size _PROTO ((mpf_srcptr));
+void mpf_sqrt _PROTO ((mpf_ptr, mpf_srcptr));
+void mpf_sqrt_ui _PROTO ((mpf_ptr, unsigned long int));
+void mpf_sub _PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr));
+void mpf_sub_ui _PROTO ((mpf_ptr, mpf_srcptr, unsigned long int));
+void mpf_ui_div _PROTO ((mpf_ptr, unsigned long int, mpf_srcptr));
+void mpf_ui_sub _PROTO ((mpf_ptr, unsigned long int, mpf_srcptr));
+#if defined (__cplusplus)
+}
+#endif
+/************ Low level positive-integer (i.e. N) routines.  ************/
+
+/* This is ugly, but we need to make usr calls reach the prefixed function.  */
+#define mpn_add			__MPN(add)
+#define mpn_add_1		__MPN(add_1)
+#define mpn_add_n		__MPN(add_n)
+#define mpn_addmul_1		__MPN(addmul_1)
+#define mpn_bdivmod		__MPN(bdivmod)
+#define mpn_cmp			__MPN(cmp)
+#define mpn_divmod_1		__MPN(divmod_1)
+#define mpn_divrem		__MPN(divrem)
+#define mpn_divrem_1		__MPN(divrem_1)
+#define mpn_dump		__MPN(dump)
+#define mpn_gcd			__MPN(gcd)
+#define mpn_gcd_1		__MPN(gcd_1)
+#define mpn_gcdext		__MPN(gcdext)
+#define mpn_get_str		__MPN(get_str)
+#define mpn_hamdist		__MPN(hamdist)
+#define mpn_lshift		__MPN(lshift)
+#define mpn_mod_1		__MPN(mod_1)
+#define mpn_mul			__MPN(mul)
+#define mpn_mul_1		__MPN(mul_1)
+#define mpn_mul_n		__MPN(mul_n)
+#define mpn_perfect_square_p	__MPN(perfect_square_p)
+#define mpn_popcount		__MPN(popcount)
+#define mpn_preinv_mod_1	__MPN(preinv_mod_1)
+#define mpn_random2		__MPN(random2)
+#define mpn_rshift		__MPN(rshift)
+#define mpn_scan0		__MPN(scan0)
+#define mpn_scan1		__MPN(scan1)
+#define mpn_set_str		__MPN(set_str)
+#define mpn_sqrtrem		__MPN(sqrtrem)
+#define mpn_sub			__MPN(sub)
+#define mpn_sub_1		__MPN(sub_1)
+#define mpn_sub_n		__MPN(sub_n)
+#define mpn_submul_1		__MPN(submul_1)
+#define mpn_udiv_w_sdiv		__MPN(udiv_w_sdiv)
+
+#if defined (__cplusplus)
+extern "C" {
+#endif
+mp_limb_t mpn_add _PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr,mp_size_t));
+mp_limb_t mpn_add_1 _PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t));
+mp_limb_t mpn_add_n _PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
+mp_limb_t mpn_addmul_1 _PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t));
+mp_limb_t mpn_bdivmod _PROTO ((mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_size_t, unsigned long int));
+int mpn_cmp _PROTO ((mp_srcptr, mp_srcptr, mp_size_t));
+mp_limb_t mpn_divmod_1 _PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t));
+mp_limb_t mpn_divrem _PROTO ((mp_ptr, mp_size_t, mp_ptr, mp_size_t, mp_srcptr, mp_size_t));
+mp_limb_t mpn_divrem_1 _PROTO ((mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_limb_t));
+void mpn_dump _PROTO ((mp_srcptr, mp_size_t));
+mp_size_t mpn_gcd _PROTO ((mp_ptr, mp_ptr, mp_size_t, mp_ptr, mp_size_t));
+mp_limb_t mpn_gcd_1 _PROTO ((mp_srcptr, mp_size_t, mp_limb_t));
+mp_size_t mpn_gcdext _PROTO ((mp_ptr, mp_ptr, mp_ptr, mp_size_t, mp_ptr, mp_size_t));
+size_t mpn_get_str _PROTO ((unsigned char *, int, mp_ptr, mp_size_t));
+unsigned long int mpn_hamdist _PROTO ((mp_srcptr, mp_srcptr, mp_size_t));
+mp_limb_t mpn_lshift _PROTO ((mp_ptr, mp_srcptr, mp_size_t, unsigned int));
+mp_limb_t mpn_mod_1 _PROTO ((mp_srcptr, mp_size_t, mp_limb_t));
+mp_limb_t mpn_mul _PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t));
+mp_limb_t mpn_mul_1 _PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t));
+void mpn_mul_n _PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
+int mpn_perfect_square_p _PROTO ((mp_srcptr, mp_size_t));
+unsigned long int mpn_popcount _PROTO ((mp_srcptr, mp_size_t));
+mp_limb_t mpn_preinv_mod_1 _PROTO ((mp_srcptr, mp_size_t, mp_limb_t, mp_limb_t));
+void mpn_random2 _PROTO ((mp_ptr, mp_size_t));
+mp_limb_t mpn_rshift _PROTO ((mp_ptr, mp_srcptr, mp_size_t, unsigned int));
+unsigned long int mpn_scan0 _PROTO ((mp_srcptr, unsigned long int));
+unsigned long int mpn_scan1 _PROTO ((mp_srcptr, unsigned long int));
+mp_size_t mpn_set_str _PROTO ((mp_ptr, const unsigned char *, size_t, int));
+mp_size_t mpn_sqrtrem _PROTO ((mp_ptr, mp_ptr, mp_srcptr, mp_size_t));
+mp_limb_t mpn_sub _PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr,mp_size_t));
+mp_limb_t mpn_sub_1 _PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t));
+mp_limb_t mpn_sub_n _PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
+mp_limb_t mpn_submul_1 _PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t));
+#if defined (__cplusplus)
+}
+#endif
+
+#if defined (__GNUC__) || defined (_FORCE_INLINES)
+_EXTERN_INLINE mp_limb_t
+#if defined (__STDC__) || defined (__cplusplus)
+mpn_add_1 (register mp_ptr res_ptr,
+	   register mp_srcptr s1_ptr,
+	   register mp_size_t s1_size,
+	   register mp_limb_t s2_limb)
+#else
+mpn_add_1 (res_ptr, s1_ptr, s1_size, s2_limb)
+     register mp_ptr res_ptr;
+     register mp_srcptr s1_ptr;
+     register mp_size_t s1_size;
+     register mp_limb_t s2_limb;
+#endif
+{
+  register mp_limb_t x;
+
+  x = *s1_ptr++;
+  s2_limb = x + s2_limb;
+  *res_ptr++ = s2_limb;
+  if (s2_limb < x)
+    {
+      while (--s1_size != 0)
+	{
+	  x = *s1_ptr++ + 1;
+	  *res_ptr++ = x;
+	  if (x != 0)
+	    goto fin;
+	}
+
+      return 1;
+    }
+
+ fin:
+  if (res_ptr != s1_ptr)
+    {
+      mp_size_t i;
+      for (i = 0; i < s1_size - 1; i++)
+	res_ptr[i] = s1_ptr[i];
+    }
+  return 0;
+}
+
+_EXTERN_INLINE mp_limb_t
+#if defined (__STDC__) || defined (__cplusplus)
+mpn_add (register mp_ptr res_ptr,
+	 register mp_srcptr s1_ptr,
+	 register mp_size_t s1_size,
+	 register mp_srcptr s2_ptr,
+	 register mp_size_t s2_size)
+#else
+mpn_add (res_ptr, s1_ptr, s1_size, s2_ptr, s2_size)
+     register mp_ptr res_ptr;
+     register mp_srcptr s1_ptr;
+     register mp_size_t s1_size;
+     register mp_srcptr s2_ptr;
+     register mp_size_t s2_size;
+#endif
+{
+  mp_limb_t cy_limb = 0;
+
+  if (s2_size != 0)
+    cy_limb = mpn_add_n (res_ptr, s1_ptr, s2_ptr, s2_size);
+
+  if (s1_size - s2_size != 0)
+    cy_limb = mpn_add_1 (res_ptr + s2_size,
+			 s1_ptr + s2_size,
+			 s1_size - s2_size,
+			 cy_limb);
+  return cy_limb;
+}
+
+_EXTERN_INLINE mp_limb_t
+#if defined (__STDC__) || defined (__cplusplus)
+mpn_sub_1 (register mp_ptr res_ptr,
+	   register mp_srcptr s1_ptr,
+	   register mp_size_t s1_size,
+	   register mp_limb_t s2_limb)
+#else
+mpn_sub_1 (res_ptr, s1_ptr, s1_size, s2_limb)
+     register mp_ptr res_ptr;
+     register mp_srcptr s1_ptr;
+     register mp_size_t s1_size;
+     register mp_limb_t s2_limb;
+#endif
+{
+  register mp_limb_t x;
+
+  x = *s1_ptr++;
+  s2_limb = x - s2_limb;
+  *res_ptr++ = s2_limb;
+  if (s2_limb > x)
+    {
+      while (--s1_size != 0)
+	{
+	  x = *s1_ptr++;
+	  *res_ptr++ = x - 1;
+	  if (x != 0)
+	    goto fin;
+	}
+
+      return 1;
+    }
+
+ fin:
+  if (res_ptr != s1_ptr)
+    {
+      mp_size_t i;
+      for (i = 0; i < s1_size - 1; i++)
+	res_ptr[i] = s1_ptr[i];
+    }
+  return 0;
+}
+
+_EXTERN_INLINE mp_limb_t
+#if defined (__STDC__) || defined (__cplusplus)
+mpn_sub (register mp_ptr res_ptr,
+	 register mp_srcptr s1_ptr,
+	 register mp_size_t s1_size,
+	 register mp_srcptr s2_ptr,
+	 register mp_size_t s2_size)
+#else
+mpn_sub (res_ptr, s1_ptr, s1_size, s2_ptr, s2_size)
+     register mp_ptr res_ptr;
+     register mp_srcptr s1_ptr;
+     register mp_size_t s1_size;
+     register mp_srcptr s2_ptr;
+     register mp_size_t s2_size;
+#endif
+{
+  mp_limb_t cy_limb = 0;
+
+  if (s2_size != 0)
+    cy_limb = mpn_sub_n (res_ptr, s1_ptr, s2_ptr, s2_size);
+
+  if (s1_size - s2_size != 0)
+    cy_limb = mpn_sub_1 (res_ptr + s2_size,
+			 s1_ptr + s2_size,
+			 s1_size - s2_size,
+			 cy_limb);
+  return cy_limb;
+}
+#endif /* __GNUC__ */
+
+/* Allow faster testing for negative, zero, and positive.  */
+#define mpz_sgn(Z) ((Z)->_mp_size < 0 ? -1 : (Z)->_mp_size > 0)
+#define mpf_sgn(F) ((F)->_mp_size < 0 ? -1 : (F)->_mp_size > 0)
+#define mpq_sgn(Q) ((Q)->_mp_num._mp_size < 0 ? -1 : (Q)->_mp_num._mp_size > 0)
+
+/* Allow direct user access to numerator and denominator of a mpq_t object.  */
+#define mpq_numref(Q) (&((Q)->_mp_num))
+#define mpq_denref(Q) (&((Q)->_mp_den))
+
+/* When using GCC, optimize certain common comparisons.  */
+#if defined (__GNUC__)
+#define mpz_cmp_ui(Z,UI) \
+  (__builtin_constant_p (UI) && (UI) == 0				\
+   ? mpz_sgn (Z) : mpz_cmp_ui (Z,UI))
+#define mpz_cmp_si(Z,UI) \
+  (__builtin_constant_p (UI) && (UI) == 0 ? mpz_sgn (Z)			\
+   : __builtin_constant_p (UI) && (UI) > 0 ? mpz_cmp_ui (Z,UI)		\
+   : mpz_cmp_si (Z,UI))
+#define mpq_cmp_ui(Q,NUI,DUI) \
+  (__builtin_constant_p (NUI) && (NUI) == 0				\
+   ? mpq_sgn (Q) : mpq_cmp_ui (Q,NUI,DUI))
+#endif
+
+#define mpn_divmod(qp,np,nsize,dp,dsize) mpn_divrem (qp,0,np,nsize,dp,dsize)
+#if 0
+#define mpn_divmod_1(qp,np,nsize,dlimb) mpn_divrem_1 (qp,0,np,nsize,dlimb)
+#endif
+
+/* Compatibility with GMP 1.  */
+#define mpz_mdiv	mpz_fdiv_q
+#define mpz_mdivmod	mpz_fdiv_qr
+#define mpz_mmod	mpz_fdiv_r
+#define mpz_mdiv_ui	mpz_fdiv_q_ui
+#define mpz_mdivmod_ui(q,r,n,d) \
+  ((r == 0) ? mpz_fdiv_q_ui (q,n,d) : mpz_fdiv_qr_ui (q,r,n,d))
+#define mpz_mmod_ui(r,n,d) \
+  ((r == 0) ? mpz_fdiv_ui (n,d) : mpz_fdiv_r_ui (r,n,d))
+
+/* Useful synonyms, but not quite compatible with GMP 1.  */
+#define mpz_div		mpz_fdiv_q
+#define mpz_divmod	mpz_fdiv_qr
+#define mpz_div_ui	mpz_fdiv_q_ui
+#define mpz_divmod_ui	mpz_fdiv_qr_ui
+#define mpz_mod_ui	mpz_fdiv_r_ui
+#define mpz_div_2exp	mpz_fdiv_q_2exp
+#define mpz_mod_2exp	mpz_fdiv_r_2exp
+
+#define __GNU_MP_VERSION 2
+#define __GNU_MP_VERSION_MINOR 0
+#define __GMP_H__
+#endif /* __GMP_H__ */