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+/* gmp.h -- Definitions for GNU multiple precision functions.
+
+Copyright (C) 1991, 1993, 1994, 1995, 1996, 1997, 1999, 2000 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, write to
+the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
+MA 02111-1307, USA. */
+
+#ifndef __GMP_H__
+
+#ifndef __GNU_MP__ /* to allow inclusion of both gmp.h and mp.h */
+#define __GNU_MP__ 2
+#define __need_size_t
+#include <stddef.h>
+#undef __need_size_t
+
+#ifndef STG_H
+/* Get DLL_IMPORT */
+#include "../../includes/ghcconfig.h"
+#include "../../includes/StgDLL.h"
+#endif
+
+#if defined (__mips) && defined (_ABIN32)
+/* Force the use of 64-bit limbs for all 64-bit MIPS CPUs if ABI permits. */
+#define _LONG_LONG_LIMB
+#endif
+
+#if (__STDC__-0) || defined (__cplusplus)
+#define __gmp_const const
+#define __gmp_signed signed
+#else
+#define __gmp_const
+#define __gmp_signed
+#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;
+#if defined (_CRAY) && ! defined (_CRAYMPP)
+/* plain `int' is much faster (48 bits) */
+typedef int mp_size_t;
+typedef int mp_exp_t;
+#else
+typedef long int mp_size_t;
+typedef long int mp_exp_t;
+#endif
+
+typedef struct
+{
+ int _mp_alloc; /* Number of *limbs* allocated and pointed
+ to by the _mp_d field. */
+ int _mp_size; /* abs(_mp_size) is the number of limbs the
+ last field points to. If _mp_size is
+ negative this is a negative number. */
+ mp_limb_t *_mp_d; /* Pointer to the limbs. */
+} __mpz_struct;
+#endif /* __GNU_MP__ */
+
+typedef __mpz_struct MP_INT;
+typedef __mpz_struct mpz_t[1];
+
+typedef struct
+{
+ __mpz_struct _mp_num;
+ __mpz_struct _mp_den;
+} __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
+ _mp_d field contains `prec' + 1 limbs. */
+ int _mp_size; /* abs(_mp_size) is the number of limbs the
+ last field points to. If _mp_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];
+
+/* Available random number generation algorithms. */
+typedef enum
+{
+ GMP_RAND_ALG_DEFAULT = 0,
+ GMP_RAND_ALG_LC = GMP_RAND_ALG_DEFAULT /* Linear congruential. */
+} gmp_randalg_t;
+
+/* Linear congruential data struct. */
+typedef struct {
+ mpz_t a; /* Multiplier. */
+ unsigned long int c; /* Adder. */
+ mpz_t m; /* Modulus (valid only if m2exp == 0). */
+ unsigned long int m2exp; /* If != 0, modulus is 2 ^ m2exp. */
+} __gmp_randata_lc;
+
+/* Random state struct. */
+typedef struct
+{
+ mpz_t seed; /* Current seed. */
+ gmp_randalg_t alg; /* Algorithm used. */
+ union { /* Algorithm specific data. */
+ __gmp_randata_lc *lc; /* Linear congruential. */
+ } algdata;
+} __gmp_randstate_struct;
+typedef __gmp_randstate_struct gmp_randstate_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 (__STDC__-0) || defined (__cplusplus)
+#define _PROTO(x) x
+#else
+#define _PROTO(x) ()
+#endif
+#endif
+
+#ifndef __MPN
+/* Really use `defined (__STDC__)' here; we want it to be true for Sun C */
+#if defined (__STDC__) || defined (__cplusplus)
+#define __MPN(x) __gmpn_##x
+#else
+#define __MPN(x) __gmpn_/**/x
+#endif
+#endif
+
+#if defined (FILE) || defined (H_STDIO) || defined (_H_STDIO) \
+ || defined (_STDIO_H) || defined (_STDIO_H_) || defined (__STDIO_H__) \
+ || defined (_STDIO_INCLUDED) || defined (__dj_include_stdio_h_)
+#define _GMP_H_HAVE_FILE 1
+#endif
+
+#if defined (__cplusplus)
+extern "C" {
+#endif
+
+#define mp_set_memory_functions __gmp_set_memory_functions
+DLL_IMPORT void mp_set_memory_functions _PROTO ((void *(*) (size_t),
+ void *(*) (void *, size_t, size_t),
+ void (*) (void *, size_t)));
+
+#define mp_bits_per_limb __gmp_bits_per_limb
+DLL_IMPORT extern __gmp_const int mp_bits_per_limb;
+
+#if defined (__cplusplus)
+}
+#endif
+
+
+/**************** Random number routines. ****************/
+
+#define _gmp_rand __gmp_rand
+#define gmp_randinit __gmp_randinit
+#define gmp_randinit_lc __gmp_randinit_lc
+#define gmp_randinit_lc_2exp __gmp_randinit_lc_2exp
+#define gmp_randseed __gmp_randseed
+#define gmp_randseed_ui __gmp_randseed_ui
+#define gmp_randclear __gmp_randclear
+
+#if defined (__cplusplus)
+extern "C" {
+#endif
+
+DLL_IMPORT void _gmp_rand _PROTO ((mp_ptr, gmp_randstate_t, unsigned long int));
+DLL_IMPORT void gmp_randinit _PROTO ((gmp_randstate_t, gmp_randalg_t, ...));
+DLL_IMPORT void gmp_randinit_lc _PROTO ((gmp_randstate_t, mpz_t, unsigned long int,
+ mpz_t));
+DLL_IMPORT void gmp_randinit_lc_2exp _PROTO ((gmp_randstate_t, mpz_t, unsigned long int,
+ unsigned long int));
+DLL_IMPORT void gmp_randseed _PROTO ((gmp_randstate_t, mpz_t));
+DLL_IMPORT void gmp_randseed_ui _PROTO ((gmp_randstate_t, unsigned long int));
+DLL_IMPORT void gmp_randclear _PROTO ((gmp_randstate_t));
+
+#if defined (__cplusplus)
+}
+#endif
+
+/**************** Integer (i.e. Z) routines. ****************/
+
+#define _mpz_realloc __gmpz_realloc
+#define mpz_realloc __gmpz_realloc
+#define mpz_abs __gmpz_abs
+#define mpz_add __gmpz_add
+#define mpz_add_ui __gmpz_add_ui
+#define mpz_addmul_ui __gmpz_addmul_ui
+#define mpz_and __gmpz_and
+#define mpz_array_init __gmpz_array_init
+#define mpz_bin_ui __gmpz_bin_ui
+#define mpz_bin_uiui __gmpz_bin_uiui
+#define mpz_cdiv_q __gmpz_cdiv_q
+#define mpz_cdiv_q_ui __gmpz_cdiv_q_ui
+#define mpz_cdiv_qr __gmpz_cdiv_qr
+#define mpz_cdiv_qr_ui __gmpz_cdiv_qr_ui
+#define mpz_cdiv_r __gmpz_cdiv_r
+#define mpz_cdiv_r_ui __gmpz_cdiv_r_ui
+#define mpz_cdiv_ui __gmpz_cdiv_ui
+#define mpz_clear __gmpz_clear
+#define mpz_clrbit __gmpz_clrbit
+#define mpz_cmp __gmpz_cmp
+#define _mpz_cmp_si __gmpz_cmp_si
+#define _mpz_cmp_ui __gmpz_cmp_ui
+#define mpz_cmpabs __gmpz_cmpabs
+#define mpz_cmpabs_ui __gmpz_cmpabs_ui
+#define mpz_com __gmpz_com
+#define mpz_divexact __gmpz_divexact
+#define mpz_dump __gmpz_dump
+#define mpz_fac_ui __gmpz_fac_ui
+#define mpz_fdiv_q __gmpz_fdiv_q
+#define mpz_fdiv_q_2exp __gmpz_fdiv_q_2exp
+#define mpz_fdiv_q_ui __gmpz_fdiv_q_ui
+#define mpz_fdiv_qr __gmpz_fdiv_qr
+#define mpz_fdiv_qr_ui __gmpz_fdiv_qr_ui
+#define mpz_fdiv_r __gmpz_fdiv_r
+#define mpz_fdiv_r_2exp __gmpz_fdiv_r_2exp
+#define mpz_fdiv_r_ui __gmpz_fdiv_r_ui
+#define mpz_fdiv_ui __gmpz_fdiv_ui
+#define mpz_fib_ui __gmpz_fib_ui
+#define mpz_fits_sint_p __gmpz_fits_sint_p
+#define mpz_fits_slong_p __gmpz_fits_slong_p
+#define mpz_fits_sshort_p __gmpz_fits_sshort_p
+#define mpz_fits_uint_p __gmpz_fits_uint_p
+#define mpz_fits_ulong_p __gmpz_fits_ulong_p
+#define mpz_fits_ushort_p __gmpz_fits_ushort_p
+#define mpz_gcd __gmpz_gcd
+#define mpz_gcd_ui __gmpz_gcd_ui
+#define mpz_gcdext __gmpz_gcdext
+#define mpz_get_d __gmpz_get_d
+#define mpz_get_si __gmpz_get_si
+#define mpz_get_str __gmpz_get_str
+#define mpz_get_ui __gmpz_get_ui
+#define mpz_getlimbn __gmpz_getlimbn
+#define mpz_hamdist __gmpz_hamdist
+#define mpz_init __gmpz_init
+#define mpz_inp_binary __gmpz_inp_binary
+#define mpz_inp_raw __gmpz_inp_raw
+#define mpz_inp_str __gmpz_inp_str
+#define mpz_init_set __gmpz_init_set
+#define mpz_init_set_d __gmpz_init_set_d
+#define mpz_init_set_si __gmpz_init_set_si
+#define mpz_init_set_str __gmpz_init_set_str
+#define mpz_init_set_ui __gmpz_init_set_ui
+#define mpz_invert __gmpz_invert
+#define mpz_ior __gmpz_ior
+#define mpz_jacobi __gmpz_jacobi
+#define mpz_lcm __gmpz_lcm
+#define mpz_legendre __gmpz_legendre
+#define mpz_mod __gmpz_mod
+#define mpz_mul __gmpz_mul
+#define mpz_mul_2exp __gmpz_mul_2exp
+#define mpz_neg __gmpz_neg
+#define mpz_nextprime __gmpz_nextprime
+#define mpz_out_binary __gmpz_out_binary
+#define mpz_out_raw __gmpz_out_raw
+#define mpz_out_str __gmpz_out_str
+#define mpz_perfect_power_p __gmpz_perfect_power_p
+#define mpz_perfect_square_p __gmpz_perfect_square_p
+#define mpz_popcount __gmpz_popcount
+#define mpz_pow_ui __gmpz_pow_ui
+#define mpz_powm __gmpz_powm
+#define mpz_powm_ui __gmpz_powm_ui
+#define mpz_probab_prime_p __gmpz_probab_prime_p
+#define mpz_random __gmpz_random
+#define mpz_random2 __gmpz_random2
+#define mpz_remove __gmpz_remove
+#define mpz_root __gmpz_root
+#define mpz_rrandomb __gmpz_rrandomb
+#define mpz_scan0 __gmpz_scan0
+#define mpz_scan1 __gmpz_scan1
+#define mpz_set __gmpz_set
+#define mpz_set_d __gmpz_set_d
+#define mpz_set_f __gmpz_set_f
+#define mpz_set_q __gmpz_set_q
+#define mpz_set_si __gmpz_set_si
+#define mpz_set_str __gmpz_set_str
+#define mpz_set_ui __gmpz_set_ui
+#define mpz_setbit __gmpz_setbit
+#define mpz_size __gmpz_size
+#define mpz_sizeinbase __gmpz_sizeinbase
+#define mpz_sqrt __gmpz_sqrt
+#define mpz_sqrtrem __gmpz_sqrtrem
+#define mpz_sub __gmpz_sub
+#define mpz_sub_ui __gmpz_sub_ui
+#define mpz_swap __gmpz_swap
+#define mpz_tdiv_ui __gmpz_tdiv_ui
+#define mpz_tdiv_q __gmpz_tdiv_q
+#define mpz_tdiv_q_2exp __gmpz_tdiv_q_2exp
+#define mpz_tdiv_q_ui __gmpz_tdiv_q_ui
+#define mpz_tdiv_qr __gmpz_tdiv_qr
+#define mpz_tdiv_qr_ui __gmpz_tdiv_qr_ui
+#define mpz_tdiv_r __gmpz_tdiv_r
+#define mpz_tdiv_r_2exp __gmpz_tdiv_r_2exp
+#define mpz_tdiv_r_ui __gmpz_tdiv_r_ui
+#define mpz_tstbit __gmpz_tstbit
+#define mpz_ui_pow_ui __gmpz_ui_pow_ui
+#define mpz_urandomb __gmpz_urandomb
+#define mpz_urandomm __gmpz_urandomm
+#define mpz_xor __gmpz_xor
+#define mpz_eor __gmpz_xor
+
+#if defined (__cplusplus)
+extern "C" {
+#endif
+DLL_IMPORT void *_mpz_realloc _PROTO ((mpz_ptr, mp_size_t));
+
+DLL_IMPORT void mpz_abs _PROTO ((mpz_ptr, mpz_srcptr));
+DLL_IMPORT void mpz_add _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
+DLL_IMPORT void mpz_add_ui _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
+DLL_IMPORT void mpz_addmul_ui _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
+DLL_IMPORT void mpz_and _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
+DLL_IMPORT void mpz_array_init _PROTO ((mpz_ptr, mp_size_t, mp_size_t));
+DLL_IMPORT void mpz_bin_ui _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
+DLL_IMPORT void mpz_bin_uiui _PROTO ((mpz_ptr, unsigned long int, unsigned long int));
+DLL_IMPORT void mpz_cdiv_q _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
+DLL_IMPORT unsigned long int mpz_cdiv_q_ui _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
+DLL_IMPORT void mpz_cdiv_qr _PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr));
+DLL_IMPORT unsigned long int mpz_cdiv_qr_ui _PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int));
+DLL_IMPORT void mpz_cdiv_r _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
+DLL_IMPORT unsigned long int mpz_cdiv_r_ui _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
+DLL_IMPORT unsigned long int mpz_cdiv_ui _PROTO ((mpz_srcptr, unsigned long int));
+DLL_IMPORT void mpz_clear _PROTO ((mpz_ptr));
+DLL_IMPORT void mpz_clrbit _PROTO ((mpz_ptr, unsigned long int));
+DLL_IMPORT int mpz_cmp _PROTO ((mpz_srcptr, mpz_srcptr));
+DLL_IMPORT int _mpz_cmp_si _PROTO ((mpz_srcptr, signed long int));
+DLL_IMPORT int _mpz_cmp_ui _PROTO ((mpz_srcptr, unsigned long int));
+DLL_IMPORT int mpz_cmpabs _PROTO ((mpz_srcptr, mpz_srcptr));
+DLL_IMPORT int mpz_cmpabs_ui _PROTO ((mpz_srcptr, unsigned long int));
+DLL_IMPORT void mpz_com _PROTO ((mpz_ptr, mpz_srcptr));
+DLL_IMPORT void mpz_divexact _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
+DLL_IMPORT void mpz_dump _PROTO ((mpz_srcptr));
+DLL_IMPORT void mpz_fac_ui _PROTO ((mpz_ptr, unsigned long int));
+DLL_IMPORT void mpz_fdiv_q _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
+DLL_IMPORT void mpz_fdiv_q_2exp _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
+DLL_IMPORT unsigned long int mpz_fdiv_q_ui _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
+DLL_IMPORT void mpz_fdiv_qr _PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr));
+DLL_IMPORT unsigned long int mpz_fdiv_qr_ui _PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int));
+DLL_IMPORT void mpz_fdiv_r _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
+DLL_IMPORT void mpz_fdiv_r_2exp _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
+DLL_IMPORT unsigned long int mpz_fdiv_r_ui _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
+DLL_IMPORT unsigned long int mpz_fdiv_ui _PROTO ((mpz_srcptr, unsigned long int));
+DLL_IMPORT void mpz_fib_ui _PROTO ((mpz_ptr, unsigned long int));
+DLL_IMPORT int mpz_fits_sint_p _PROTO ((mpz_srcptr));
+DLL_IMPORT int mpz_fits_slong_p _PROTO ((mpz_srcptr));
+DLL_IMPORT int mpz_fits_sshort_p _PROTO ((mpz_srcptr));
+DLL_IMPORT int mpz_fits_uint_p _PROTO ((mpz_srcptr));
+DLL_IMPORT int mpz_fits_ulong_p _PROTO ((mpz_srcptr));
+DLL_IMPORT int mpz_fits_ushort_p _PROTO ((mpz_srcptr));
+DLL_IMPORT void mpz_gcd _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
+DLL_IMPORT unsigned long int mpz_gcd_ui _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
+DLL_IMPORT void mpz_gcdext _PROTO ((mpz_ptr, mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr));
+DLL_IMPORT double mpz_get_d _PROTO ((mpz_srcptr));
+/* signed */ long int mpz_get_si _PROTO ((mpz_srcptr));
+DLL_IMPORT char *mpz_get_str _PROTO ((char *, int, mpz_srcptr));
+DLL_IMPORT unsigned long int mpz_get_ui _PROTO ((mpz_srcptr));
+DLL_IMPORT mp_limb_t mpz_getlimbn _PROTO ((mpz_srcptr, mp_size_t));
+DLL_IMPORT unsigned long int mpz_hamdist _PROTO ((mpz_srcptr, mpz_srcptr));
+DLL_IMPORT void mpz_init _PROTO ((mpz_ptr));
+#ifdef _GMP_H_HAVE_FILE
+DLL_IMPORT size_t mpz_inp_binary _PROTO ((mpz_ptr, FILE *));
+DLL_IMPORT size_t mpz_inp_raw _PROTO ((mpz_ptr, FILE *));
+DLL_IMPORT size_t mpz_inp_str _PROTO ((mpz_ptr, FILE *, int));
+#endif
+DLL_IMPORT void mpz_init_set _PROTO ((mpz_ptr, mpz_srcptr));
+DLL_IMPORT void mpz_init_set_d _PROTO ((mpz_ptr, double));
+DLL_IMPORT void mpz_init_set_si _PROTO ((mpz_ptr, signed long int));
+DLL_IMPORT int mpz_init_set_str _PROTO ((mpz_ptr, __gmp_const char *, int));
+DLL_IMPORT void mpz_init_set_ui _PROTO ((mpz_ptr, unsigned long int));
+DLL_IMPORT int mpz_invert _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
+DLL_IMPORT void mpz_ior _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
+DLL_IMPORT int mpz_jacobi _PROTO ((mpz_srcptr, mpz_srcptr));
+
+#define mpz_kronecker_si __gmpz_kronecker_si
+DLL_IMPORT int mpz_kronecker_si _PROTO ((mpz_srcptr, long));
+
+#define mpz_kronecker_ui __gmpz_kronecker_ui
+DLL_IMPORT int mpz_kronecker_ui _PROTO ((mpz_srcptr, unsigned long));
+
+#define mpz_si_kronecker __gmpz_si_kronecker
+DLL_IMPORT int mpz_si_kronecker _PROTO ((long, mpz_srcptr));
+
+#define mpz_ui_kronecker __gmpz_ui_kronecker
+DLL_IMPORT int mpz_ui_kronecker _PROTO ((unsigned long, mpz_srcptr));
+
+DLL_IMPORT void mpz_lcm _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
+DLL_IMPORT int mpz_legendre _PROTO ((mpz_srcptr, mpz_srcptr));
+DLL_IMPORT void mpz_mod _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
+DLL_IMPORT void mpz_mul _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
+DLL_IMPORT void mpz_mul_2exp _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
+
+#define mpz_mul_si __gmpz_mul_si
+DLL_IMPORT void mpz_mul_si _PROTO ((mpz_ptr, mpz_srcptr, long int));
+
+#define mpz_mul_ui __gmpz_mul_ui
+DLL_IMPORT void mpz_mul_ui _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
+
+DLL_IMPORT void mpz_neg _PROTO ((mpz_ptr, mpz_srcptr));
+DLL_IMPORT void mpz_nextprime _PROTO ((mpz_ptr, mpz_srcptr));
+#ifdef _GMP_H_HAVE_FILE
+DLL_IMPORT size_t mpz_out_binary _PROTO ((FILE *, mpz_srcptr));
+DLL_IMPORT size_t mpz_out_raw _PROTO ((FILE *, mpz_srcptr));
+DLL_IMPORT size_t mpz_out_str _PROTO ((FILE *, int, mpz_srcptr));
+#endif
+DLL_IMPORT int mpz_perfect_power_p _PROTO ((mpz_srcptr));
+DLL_IMPORT int mpz_perfect_square_p _PROTO ((mpz_srcptr));
+DLL_IMPORT unsigned long int mpz_popcount _PROTO ((mpz_srcptr));
+DLL_IMPORT void mpz_pow_ui _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
+DLL_IMPORT void mpz_powm _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr, mpz_srcptr));
+DLL_IMPORT void mpz_powm_ui _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int, mpz_srcptr));
+DLL_IMPORT int mpz_probab_prime_p _PROTO ((mpz_srcptr, int));
+DLL_IMPORT void mpz_random _PROTO ((mpz_ptr, mp_size_t));
+DLL_IMPORT void mpz_random2 _PROTO ((mpz_ptr, mp_size_t));
+DLL_IMPORT unsigned long int mpz_remove _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
+DLL_IMPORT int mpz_root _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
+DLL_IMPORT void mpz_rrandomb _PROTO ((mpz_ptr, gmp_randstate_t, unsigned long int));
+DLL_IMPORT unsigned long int mpz_scan0 _PROTO ((mpz_srcptr, unsigned long int));
+DLL_IMPORT unsigned long int mpz_scan1 _PROTO ((mpz_srcptr, unsigned long int));
+DLL_IMPORT void mpz_set _PROTO ((mpz_ptr, mpz_srcptr));
+DLL_IMPORT void mpz_set_d _PROTO ((mpz_ptr, double));
+DLL_IMPORT void mpz_set_f _PROTO ((mpz_ptr, mpf_srcptr));
+DLL_IMPORT void mpz_set_q _PROTO ((mpz_ptr, mpq_srcptr));
+DLL_IMPORT void mpz_set_si _PROTO ((mpz_ptr, signed long int));
+DLL_IMPORT int mpz_set_str _PROTO ((mpz_ptr, __gmp_const char *, int));
+DLL_IMPORT void mpz_set_ui _PROTO ((mpz_ptr, unsigned long int));
+DLL_IMPORT void mpz_setbit _PROTO ((mpz_ptr, unsigned long int));
+DLL_IMPORT size_t mpz_size _PROTO ((mpz_srcptr));
+DLL_IMPORT size_t mpz_sizeinbase _PROTO ((mpz_srcptr, int));
+DLL_IMPORT void mpz_sqrt _PROTO ((mpz_ptr, mpz_srcptr));
+DLL_IMPORT void mpz_sqrtrem _PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr));
+DLL_IMPORT void mpz_sub _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
+DLL_IMPORT void mpz_sub_ui _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
+DLL_IMPORT void mpz_swap _PROTO ((mpz_ptr, mpz_ptr));
+DLL_IMPORT void mpz_tdiv_q _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
+DLL_IMPORT void mpz_tdiv_q_2exp _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
+DLL_IMPORT unsigned long int mpz_tdiv_ui _PROTO ((mpz_srcptr, unsigned long int));
+DLL_IMPORT unsigned long int mpz_tdiv_q_ui _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
+DLL_IMPORT void mpz_tdiv_qr _PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr));
+DLL_IMPORT unsigned long int mpz_tdiv_qr_ui _PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int));
+DLL_IMPORT void mpz_tdiv_r _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
+DLL_IMPORT void mpz_tdiv_r_2exp _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
+DLL_IMPORT unsigned long int mpz_tdiv_r_ui _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
+DLL_IMPORT int mpz_tstbit _PROTO ((mpz_srcptr, unsigned long int));
+DLL_IMPORT void mpz_ui_pow_ui _PROTO ((mpz_ptr, unsigned long int, unsigned long int));
+DLL_IMPORT void mpz_urandomb _PROTO ((mpz_t, gmp_randstate_t, unsigned long int));
+DLL_IMPORT void mpz_urandomm _PROTO ((mpz_t, gmp_randstate_t, mpz_t));
+DLL_IMPORT void mpz_xor _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
+#if defined (__cplusplus)
+}
+#endif
+
+/**************** Rational (i.e. Q) routines. ****************/
+
+#define mpq_init __gmpq_init
+#define mpq_clear __gmpq_clear
+#define mpq_set __gmpq_set
+#define mpq_set_ui __gmpq_set_ui
+#define mpq_set_si __gmpq_set_si
+#define mpq_set_z __gmpq_set_z
+#define mpq_add __gmpq_add
+#define mpq_sub __gmpq_sub
+#define mpq_mul __gmpq_mul
+#define mpq_div __gmpq_div
+#define mpq_neg __gmpq_neg
+#define mpq_cmp __gmpq_cmp
+#define _mpq_cmp_ui __gmpq_cmp_ui
+#define mpq_equal __gmpq_equal
+#define mpq_inv __gmpq_inv
+#define mpq_set_num __gmpq_set_num
+#define mpq_set_den __gmpq_set_den
+#define mpq_get_num __gmpq_get_num
+#define mpq_get_den __gmpq_get_den
+#define mpq_get_d __gmpq_get_d
+#define mpq_set_d __gmpq_set_d
+#define mpq_canonicalize __gmpq_canonicalize
+
+#if defined (__cplusplus)
+extern "C" {
+#endif
+DLL_IMPORT void mpq_init _PROTO ((mpq_ptr));
+DLL_IMPORT void mpq_clear _PROTO ((mpq_ptr));
+DLL_IMPORT void mpq_set _PROTO ((mpq_ptr, mpq_srcptr));
+DLL_IMPORT void mpq_set_ui _PROTO ((mpq_ptr, unsigned long int, unsigned long int));
+DLL_IMPORT void mpq_set_si _PROTO ((mpq_ptr, signed long int, unsigned long int));
+DLL_IMPORT void mpq_set_z _PROTO ((mpq_ptr, mpz_srcptr));
+DLL_IMPORT void mpq_add _PROTO ((mpq_ptr, mpq_srcptr, mpq_srcptr));
+DLL_IMPORT void mpq_sub _PROTO ((mpq_ptr, mpq_srcptr, mpq_srcptr));
+DLL_IMPORT void mpq_mul _PROTO ((mpq_ptr, mpq_srcptr, mpq_srcptr));
+DLL_IMPORT void mpq_div _PROTO ((mpq_ptr, mpq_srcptr, mpq_srcptr));
+DLL_IMPORT void mpq_neg _PROTO ((mpq_ptr, mpq_srcptr));
+DLL_IMPORT int mpq_cmp _PROTO ((mpq_srcptr, mpq_srcptr));
+DLL_IMPORT int _mpq_cmp_ui _PROTO ((mpq_srcptr, unsigned long int, unsigned long int));
+DLL_IMPORT int mpq_equal _PROTO ((mpq_srcptr, mpq_srcptr));
+DLL_IMPORT void mpq_inv _PROTO ((mpq_ptr, mpq_srcptr));
+DLL_IMPORT void mpq_set_num _PROTO ((mpq_ptr, mpz_srcptr));
+DLL_IMPORT void mpq_set_den _PROTO ((mpq_ptr, mpz_srcptr));
+DLL_IMPORT void mpq_get_num _PROTO ((mpz_ptr, mpq_srcptr));
+DLL_IMPORT void mpq_get_den _PROTO ((mpz_ptr, mpq_srcptr));
+DLL_IMPORT double mpq_get_d _PROTO ((mpq_srcptr));
+DLL_IMPORT void mpq_set_d _PROTO ((mpq_ptr, double));
+DLL_IMPORT void mpq_canonicalize _PROTO ((mpq_ptr));
+
+#define mpq_swap __gmpq_swap
+DLL_IMPORT void mpq_swap _PROTO ((mpq_ptr, mpq_ptr));
+
+#ifdef _GMP_H_HAVE_FILE
+#define mpq_out_str __gmpq_out_str
+DLL_IMPORT size_t mpq_out_str _PROTO ((FILE *, int, mpq_srcptr));
+#endif
+
+#if defined (__cplusplus)
+}
+#endif
+
+/**************** Float (i.e. F) routines. ****************/
+
+#define mpf_abs __gmpf_abs
+#define mpf_add __gmpf_add
+#define mpf_add_ui __gmpf_add_ui
+#define mpf_ceil __gmpf_ceil
+#define mpf_clear __gmpf_clear
+#define mpf_cmp __gmpf_cmp
+#define mpf_cmp_si __gmpf_cmp_si
+#define mpf_cmp_ui __gmpf_cmp_ui
+#define mpf_div __gmpf_div
+#define mpf_div_2exp __gmpf_div_2exp
+#define mpf_div_ui __gmpf_div_ui
+#define mpf_dump __gmpf_dump
+#define mpf_floor __gmpf_floor
+#define mpf_eq __gmpf_eq
+#define mpf_get_d __gmpf_get_d
+#define mpf_get_prec __gmpf_get_prec
+#define mpf_get_str __gmpf_get_str
+#define mpf_init __gmpf_init
+#define mpf_init2 __gmpf_init2
+#define mpf_inp_str __gmpf_inp_str
+#define mpf_init_set __gmpf_init_set
+#define mpf_init_set_d __gmpf_init_set_d
+#define mpf_init_set_si __gmpf_init_set_si
+#define mpf_init_set_str __gmpf_init_set_str
+#define mpf_init_set_ui __gmpf_init_set_ui
+#define mpf_mul __gmpf_mul
+#define mpf_mul_2exp __gmpf_mul_2exp
+#define mpf_mul_ui __gmpf_mul_ui
+#define mpf_neg __gmpf_neg
+#define mpf_out_str __gmpf_out_str
+#define mpf_pow_ui __gmpf_pow_ui
+#define mpf_random2 __gmpf_random2
+#define mpf_reldiff __gmpf_reldiff
+#define mpf_set __gmpf_set
+#define mpf_set_d __gmpf_set_d
+#define mpf_set_default_prec __gmpf_set_default_prec
+#define mpf_set_prec __gmpf_set_prec
+#define mpf_set_prec_raw __gmpf_set_prec_raw
+#define mpf_set_q __gmpf_set_q
+#define mpf_set_si __gmpf_set_si
+#define mpf_set_str __gmpf_set_str
+#define mpf_set_ui __gmpf_set_ui
+#define mpf_set_z __gmpf_set_z
+#define mpf_size __gmpf_size
+#define mpf_sqrt __gmpf_sqrt
+#define mpf_sqrt_ui __gmpf_sqrt_ui
+#define mpf_sub __gmpf_sub
+#define mpf_sub_ui __gmpf_sub_ui
+#define mpf_trunc __gmpf_trunc
+#define mpf_ui_div __gmpf_ui_div
+#define mpf_ui_sub __gmpf_ui_sub
+#define mpf_urandomb __gmpf_urandomb
+
+#if defined (__cplusplus)
+extern "C" {
+#endif
+DLL_IMPORT void mpf_abs _PROTO ((mpf_ptr, mpf_srcptr));
+DLL_IMPORT void mpf_add _PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr));
+DLL_IMPORT void mpf_add_ui _PROTO ((mpf_ptr, mpf_srcptr, unsigned long int));
+DLL_IMPORT void mpf_ceil _PROTO ((mpf_ptr, mpf_srcptr));
+DLL_IMPORT void mpf_clear _PROTO ((mpf_ptr));
+DLL_IMPORT int mpf_cmp _PROTO ((mpf_srcptr, mpf_srcptr));
+DLL_IMPORT int mpf_cmp_si _PROTO ((mpf_srcptr, signed long int));
+DLL_IMPORT int mpf_cmp_ui _PROTO ((mpf_srcptr, unsigned long int));
+DLL_IMPORT void mpf_div _PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr));
+DLL_IMPORT void mpf_div_2exp _PROTO ((mpf_ptr, mpf_srcptr, unsigned long int));
+DLL_IMPORT void mpf_div_ui _PROTO ((mpf_ptr, mpf_srcptr, unsigned long int));
+DLL_IMPORT void mpf_dump _PROTO ((mpf_srcptr));
+DLL_IMPORT int mpf_eq _PROTO ((mpf_srcptr, mpf_srcptr, unsigned long int));
+DLL_IMPORT void mpf_floor _PROTO ((mpf_ptr, mpf_srcptr));
+DLL_IMPORT double mpf_get_d _PROTO ((mpf_srcptr));
+DLL_IMPORT unsigned long int mpf_get_prec _PROTO ((mpf_srcptr));
+char *mpf_get_str _PROTO ((char *, mp_exp_t *, int, size_t, mpf_srcptr));
+DLL_IMPORT void mpf_init _PROTO ((mpf_ptr));
+DLL_IMPORT void mpf_init2 _PROTO ((mpf_ptr, unsigned long int));
+#ifdef _GMP_H_HAVE_FILE
+DLL_IMPORT size_t mpf_inp_str _PROTO ((mpf_ptr, FILE *, int));
+#endif
+DLL_IMPORT void mpf_init_set _PROTO ((mpf_ptr, mpf_srcptr));
+DLL_IMPORT void mpf_init_set_d _PROTO ((mpf_ptr, double));
+DLL_IMPORT void mpf_init_set_si _PROTO ((mpf_ptr, signed long int));
+DLL_IMPORT int mpf_init_set_str _PROTO ((mpf_ptr, __gmp_const char *, int));
+DLL_IMPORT void mpf_init_set_ui _PROTO ((mpf_ptr, unsigned long int));
+DLL_IMPORT void mpf_mul _PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr));
+DLL_IMPORT void mpf_mul_2exp _PROTO ((mpf_ptr, mpf_srcptr, unsigned long int));
+DLL_IMPORT void mpf_mul_ui _PROTO ((mpf_ptr, mpf_srcptr, unsigned long int));
+DLL_IMPORT void mpf_neg _PROTO ((mpf_ptr, mpf_srcptr));
+#ifdef _GMP_H_HAVE_FILE
+DLL_IMPORT size_t mpf_out_str _PROTO ((FILE *, int, size_t, mpf_srcptr));
+#endif
+DLL_IMPORT void mpf_pow_ui _PROTO ((mpf_ptr, mpf_srcptr, unsigned long int));
+DLL_IMPORT void mpf_random2 _PROTO ((mpf_ptr, mp_size_t, mp_exp_t));
+DLL_IMPORT void mpf_reldiff _PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr));
+DLL_IMPORT void mpf_set _PROTO ((mpf_ptr, mpf_srcptr));
+DLL_IMPORT void mpf_set_d _PROTO ((mpf_ptr, double));
+DLL_IMPORT void mpf_set_default_prec _PROTO ((unsigned long int));
+DLL_IMPORT void mpf_set_prec _PROTO ((mpf_ptr, unsigned long int));
+DLL_IMPORT void mpf_set_prec_raw _PROTO ((mpf_ptr, unsigned long int));
+DLL_IMPORT void mpf_set_q _PROTO ((mpf_ptr, mpq_srcptr));
+DLL_IMPORT void mpf_set_si _PROTO ((mpf_ptr, signed long int));
+DLL_IMPORT int mpf_set_str _PROTO ((mpf_ptr, __gmp_const char *, int));
+DLL_IMPORT void mpf_set_ui _PROTO ((mpf_ptr, unsigned long int));
+DLL_IMPORT void mpf_set_z _PROTO ((mpf_ptr, mpz_srcptr));
+DLL_IMPORT size_t mpf_size _PROTO ((mpf_srcptr));
+DLL_IMPORT void mpf_sqrt _PROTO ((mpf_ptr, mpf_srcptr));
+DLL_IMPORT void mpf_sqrt_ui _PROTO ((mpf_ptr, unsigned long int));
+DLL_IMPORT void mpf_sub _PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr));
+DLL_IMPORT void mpf_sub_ui _PROTO ((mpf_ptr, mpf_srcptr, unsigned long int));
+DLL_IMPORT void mpf_trunc _PROTO ((mpf_ptr, mpf_srcptr));
+DLL_IMPORT void mpf_ui_div _PROTO ((mpf_ptr, unsigned long int, mpf_srcptr));
+DLL_IMPORT void mpf_ui_sub _PROTO ((mpf_ptr, unsigned long int, mpf_srcptr));
+DLL_IMPORT void mpf_urandomb _PROTO ((mpf_t, gmp_randstate_t, unsigned long int));
+
+#define mpf_swap __gmpf_swap
+DLL_IMPORT void mpf_swap _PROTO ((mpf_ptr, mpf_ptr));
+
+#if defined (__cplusplus)
+}
+#endif
+/************ Low level positive-integer (i.e. N) routines. ************/
+
+/* This is ugly, but we need to make user 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_add_nc __MPN(add_nc)
+#define mpn_addmul_1 __MPN(addmul_1)
+#define mpn_addsub_n __MPN(addsub_n)
+#define mpn_addsub_nc __MPN(addsub_nc)
+/* #define mpn_and_n __MPN(and_n) */
+/* #define mpn_andn_n __MPN(andn_n) */
+#define mpn_bdivmod __MPN(bdivmod)
+#define mpn_cmp __MPN(cmp)
+/* #define mpn_com_n __MPN(com_n) */
+#define mpn_copyd __MPN(copyd)
+#define mpn_copyi __MPN(copyi)
+#define mpn_divrem __MPN(divrem)
+#define mpn_divrem_1 __MPN(divrem_1)
+#define mpn_divrem_2 __MPN(divrem_2)
+#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_invert_limb __MPN(invert_limb)
+/* #define mpn_ior_n __MPN(ior_n) */
+/* #define mpn_iorn_n __MPN(iorn_n) */
+/* #define mpn_kara_mul_n __MPN(kara_mul_n) internal */
+/* #define mpn_kara_sqr_n __MPN(kara_sqr_n) internal */
+#define mpn_lshift __MPN(lshift)
+#define mpn_lshiftc __MPN(lshiftc)
+#define mpn_mod_1 __MPN(mod_1)
+#define mpn_mul __MPN(mul)
+#define mpn_mul_1 __MPN(mul_1)
+#define mpn_mul_basecase __MPN(mul_basecase)
+#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_nand_n __MPN(nand_n) */
+/* #define mpn_nior_n __MPN(nior_n) */
+#define mpn_random __MPN(random)
+#define mpn_random2 __MPN(random2)
+#define mpn_rshift __MPN(rshift)
+#define mpn_rshiftc __MPN(rshiftc)
+#define mpn_scan0 __MPN(scan0)
+#define mpn_scan1 __MPN(scan1)
+#define mpn_set_str __MPN(set_str)
+#define mpn_sqr_basecase __MPN(sqr_basecase)
+#define mpn_sqr_n __MPN(sqr_n)
+#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_sub_nc __MPN(sub_nc)
+#define mpn_submul_1 __MPN(submul_1)
+/* #define mpn_toom3_mul_n __MPN(toom3_mul_n) internal */
+/* #define mpn_toom3_sqr_n __MPN(toom3_sqr_n) internal */
+/* #define mpn_xnor_n __MPN(xnor_n) */
+/* #define mpn_xor_n __MPN(xor_n) */
+
+#if defined (__cplusplus)
+extern "C" {
+#endif
+
+DLL_IMPORT mp_limb_t mpn_add _PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr,mp_size_t));
+DLL_IMPORT mp_limb_t mpn_add_1 _PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t));
+DLL_IMPORT mp_limb_t mpn_add_n _PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
+DLL_IMPORT mp_limb_t mpn_add_nc _PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t, mp_limb_t));
+
+DLL_IMPORT mp_limb_t mpn_addmul_1 _PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t));
+
+#define mpn_addmul_1c __MPN(addmul_1c)
+DLL_IMPORT mp_limb_t mpn_addmul_1c _PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t, mp_limb_t));
+
+DLL_IMPORT mp_limb_t mpn_addsub_n _PROTO ((mp_ptr, mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
+DLL_IMPORT mp_limb_t mpn_bdivmod _PROTO ((mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_size_t, unsigned long int));
+DLL_IMPORT int mpn_cmp _PROTO ((mp_srcptr, mp_srcptr, mp_size_t));
+
+#define mpn_divexact_by3(dst, src, size) mpn_divexact_by3c (dst, src, size, 0)
+
+#define mpn_divexact_by3c __MPN(divexact_by3c)
+DLL_IMPORT mp_limb_t mpn_divexact_by3c _PROTO ((mp_ptr dst, mp_srcptr src,
+ mp_size_t size, mp_limb_t carry));
+
+#define mpn_divmod_1(qp,np,nsize,dlimb) mpn_divrem_1 (qp,0,np,nsize,dlimb)
+
+DLL_IMPORT mp_limb_t mpn_divrem _PROTO((mp_ptr, mp_size_t, mp_ptr, mp_size_t, mp_srcptr, mp_size_t));
+
+DLL_IMPORT mp_limb_t mpn_divrem_1 _PROTO ((mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_limb_t));
+
+#define mpn_divrem_1c __MPN(divrem_1c)
+DLL_IMPORT mp_limb_t mpn_divrem_1c _PROTO ((mp_ptr, mp_size_t, mp_srcptr, mp_size_t,
+ mp_limb_t, mp_limb_t));
+
+DLL_IMPORT mp_limb_t mpn_divrem_2 _PROTO ((mp_ptr, mp_size_t, mp_ptr, mp_size_t, mp_srcptr));
+DLL_IMPORT 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));
+DLL_IMPORT 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_size_t *, mp_ptr, mp_size_t, mp_ptr, mp_size_t));
+DLL_IMPORT size_t mpn_get_str _PROTO ((unsigned char *, int, mp_ptr, mp_size_t));
+DLL_IMPORT unsigned long int mpn_hamdist _PROTO ((mp_srcptr, mp_srcptr, mp_size_t));
+
+#define mpn_jacobi_base __MPN(jacobi_base)
+DLL_IMPORT int mpn_jacobi_base _PROTO ((mp_limb_t a, mp_limb_t b, int result_bit1));
+
+DLL_IMPORT mp_limb_t mpn_lshift _PROTO ((mp_ptr, mp_srcptr, mp_size_t, unsigned int));
+DLL_IMPORT mp_limb_t mpn_mod_1 _PROTO ((mp_srcptr, mp_size_t, mp_limb_t));
+
+#define mpn_mod_1c __MPN(mod_1c)
+DLL_IMPORT mp_limb_t mpn_mod_1c _PROTO ((mp_srcptr, mp_size_t, mp_limb_t, mp_limb_t));
+
+#define mpn_mod_1_rshift __MPN(mod_1_rshift)
+DLL_IMPORT mp_limb_t mpn_mod_1_rshift _PROTO ((mp_srcptr, mp_size_t, unsigned,mp_limb_t));
+
+DLL_IMPORT mp_limb_t mpn_mul _PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t));
+DLL_IMPORT mp_limb_t mpn_mul_1 _PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t));
+
+#define mpn_mul_1c __MPN(mul_1c)
+DLL_IMPORT mp_limb_t mpn_mul_1c _PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t, mp_limb_t));
+
+DLL_IMPORT void mpn_mul_basecase _PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t));
+DLL_IMPORT void mpn_mul_n _PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
+DLL_IMPORT int mpn_perfect_square_p _PROTO ((mp_srcptr, mp_size_t));
+DLL_IMPORT unsigned long int mpn_popcount _PROTO ((mp_srcptr, mp_size_t));
+DLL_IMPORT mp_limb_t mpn_preinv_mod_1 _PROTO ((mp_srcptr, mp_size_t, mp_limb_t, mp_limb_t));
+DLL_IMPORT void mpn_random _PROTO ((mp_ptr, mp_size_t));
+DLL_IMPORT void mpn_random2 _PROTO ((mp_ptr, mp_size_t));
+DLL_IMPORT mp_limb_t mpn_rshift _PROTO ((mp_ptr, mp_srcptr, mp_size_t, unsigned int));
+DLL_IMPORT unsigned long int mpn_scan0 _PROTO ((mp_srcptr, unsigned long int));
+DLL_IMPORT unsigned long int mpn_scan1 _PROTO ((mp_srcptr, unsigned long int));
+mp_size_t mpn_set_str _PROTO ((mp_ptr, __gmp_const unsigned char *, size_t, int));
+DLL_IMPORT void mpn_sqr_n _PROTO ((mp_ptr, mp_srcptr, mp_size_t));
+DLL_IMPORT void mpn_sqr_basecase _PROTO ((mp_ptr, mp_srcptr, mp_size_t));
+mp_size_t mpn_sqrtrem _PROTO ((mp_ptr, mp_ptr, mp_srcptr, mp_size_t));
+DLL_IMPORT mp_limb_t mpn_sub _PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr,mp_size_t));
+DLL_IMPORT mp_limb_t mpn_sub_1 _PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t));
+DLL_IMPORT mp_limb_t mpn_sub_n _PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
+DLL_IMPORT mp_limb_t mpn_sub_nc _PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t, mp_limb_t));
+DLL_IMPORT mp_limb_t mpn_submul_1 _PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t));
+
+#define mpn_submul_1c __MPN(submul_1c)
+DLL_IMPORT mp_limb_t mpn_submul_1c _PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t, mp_limb_t));
+
+#define mpn_tdiv_qr __MPN(tdiv_qr)
+DLL_IMPORT void mpn_tdiv_qr _PROTO ((mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t));
+
+#if defined (__cplusplus)
+}
+#endif
+
+#define mpn_incr_u(p,incr) \
+ do { mp_limb_t __x; mp_ptr __p = p; \
+ __x = *__p + incr; \
+ *__p = __x; \
+ if (__x < incr) \
+ while (++(*(++__p)) == 0) \
+ ; \
+ } while (0)
+
+#define mpn_decr_u(p,incr) \
+ do { mp_limb_t __x; mp_ptr __p = p; \
+ __x = *__p; \
+ *__p = __x - incr; \
+ if (__x < incr) \
+ while ((*(++__p))-- == 0) \
+ ; \
+ } while (0)
+
+#if defined (__GNUC__) || defined (_FORCE_INLINES)
+_EXTERN_INLINE mp_limb_t
+#if (__STDC__-0) || 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 (__STDC__-0) || 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 (__STDC__-0) || 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 (__STDC__-0) || 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)
+
+/* 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,SI) \
+ (__builtin_constant_p (SI) && (SI) == 0 ? mpz_sgn (Z) \
+ : __builtin_constant_p (SI) && (SI) > 0 \
+ ? _mpz_cmp_ui (Z, (unsigned long int) SI) \
+ : _mpz_cmp_si (Z,SI))
+#define mpq_cmp_ui(Q,NUI,DUI) \
+ (__builtin_constant_p (NUI) && (NUI) == 0 \
+ ? mpq_sgn (Q) : _mpq_cmp_ui (Q,NUI,DUI))
+#else
+#define mpz_cmp_ui(Z,UI) _mpz_cmp_ui (Z,UI)
+#define mpz_cmp_si(Z,UI) _mpz_cmp_si (Z,UI)
+#define mpq_cmp_ui(Q,NUI,DUI) _mpq_cmp_ui (Q,NUI,DUI)
+#endif
+
+
+/* Using "&" rather than "&&" means these can come out branch-free. Every
+ mpz_t has at least one limb allocated, so fetching the low limb is always
+ allowed. */
+#define mpz_odd_p(z) ((int) ((z)->_mp_size != 0) & (int) (z)->_mp_d[0])
+#define mpz_even_p(z) (! mpz_odd_p (z))
+
+
+/* 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))
+
+
+/* Compatibility with GMP 2 and earlier. */
+#define mpn_divmod(qp,np,nsize,dp,dsize) mpn_divrem (qp,0,np,nsize,dp,dsize)
+
+/* 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 gmp_errno __gmp_errno
+extern int gmp_errno;
+
+enum
+{
+ GMP_ERROR_NONE = 0,
+ GMP_ERROR_UNSUPPORTED_ARGUMENT = 1,
+ GMP_ERROR_DIVISION_BY_ZERO = 2,
+ GMP_ERROR_SQRT_OF_NEGATIVE = 4,
+ GMP_ERROR_INVALID_ARGUMENT = 8,
+ GMP_ERROR_ALLOCATE = 16,
+ GMP_ERROR_BAD_STRING = 32,
+ GMP_ERROR_UNUSED_ERROR
+};
+
+/* Note: major version number is in mp.h too */
+#define __GNU_MP_VERSION 3
+#define __GNU_MP_VERSION_MINOR 1
+#define __GNU_MP_VERSION_PATCHLEVEL 1
+
+#define gmp_version __gmp_version
+extern __gmp_const char *gmp_version;
+
+#define __GMP_H__
+#endif /* __GMP_H__ */