| /* 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__ */ |