(root)/
glibc-2.38/
stdlib/
gmp.h
       1  /* gmp.h -- Definitions for GNU multiple precision functions.
       2  
       3  Copyright (C) 1991-2023 Free Software Foundation, Inc.
       4  
       5  This file is part of the GNU MP Library.
       6  
       7  The GNU MP Library is free software; you can redistribute it and/or modify
       8  it under the terms of the GNU Lesser General Public License as published by
       9  the Free Software Foundation; either version 2.1 of the License, or (at your
      10  option) any later version.
      11  
      12  The GNU MP Library is distributed in the hope that it will be useful, but
      13  WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
      14  or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Lesser General Public
      15  License for more details.
      16  
      17  You should have received a copy of the GNU Lesser General Public License
      18  along with the GNU MP Library; see the file COPYING.LIB.  If not, see
      19  <https://www.gnu.org/licenses/>.  */
      20  
      21  #ifndef __GMP_H__
      22  
      23  #include <features.h>
      24  
      25  #ifndef __GNU_MP__
      26  #define __GNU_MP__ 2
      27  #define __need_size_t
      28  #include <stddef.h>
      29  #undef __need_size_t
      30  
      31  #if defined (__STDC__) || defined (__cplusplus)
      32  #define __gmp_const const
      33  #else
      34  #define __gmp_const
      35  #endif
      36  
      37  #if defined (__GNUC__)
      38  #define __gmp_inline __inline__
      39  #else
      40  #define __gmp_inline
      41  #endif
      42  
      43  #ifndef _EXTERN_INLINE
      44  #ifdef __GNUC__
      45  #define _EXTERN_INLINE __extern_inline
      46  #else
      47  #define _EXTERN_INLINE static
      48  #endif
      49  #endif
      50  
      51  #ifdef _LIBC
      52  #define _ATTRIBUTE_HIDDEN attribute_hidden
      53  #else
      54  #define _ATTRIBUTE_HIDDEN
      55  #endif
      56  
      57  #ifdef _SHORT_LIMB
      58  typedef unsigned int		mp_limb_t;
      59  typedef int			mp_limb_signed_t;
      60  #else
      61  #ifdef _LONG_LONG_LIMB
      62  typedef unsigned long long int	mp_limb_t;
      63  typedef long long int		mp_limb_signed_t;
      64  #else
      65  typedef unsigned long int	mp_limb_t;
      66  typedef long int		mp_limb_signed_t;
      67  #endif
      68  #endif
      69  
      70  typedef mp_limb_t *		mp_ptr;
      71  typedef __gmp_const mp_limb_t *	mp_srcptr;
      72  typedef long int		mp_size_t;
      73  typedef long int		mp_exp_t;
      74  
      75  #ifndef __MP_SMALL__
      76  typedef struct
      77  {
      78    int _mp_alloc;		/* Number of *limbs* allocated and pointed
      79  				   to by the D field.  */
      80    int _mp_size;			/* abs(SIZE) is the number of limbs
      81  				   the last field points to.  If SIZE
      82  				   is negative this is a negative
      83  				   number.  */
      84    mp_limb_t *_mp_d;		/* Pointer to the limbs.  */
      85  } __mpz_struct;
      86  #else
      87  typedef struct
      88  {
      89    short int _mp_alloc;		/* Number of *limbs* allocated and pointed
      90  				   to by the D field.  */
      91    short int _mp_size;		/* abs(SIZE) is the number of limbs
      92  				   the last field points to.  If SIZE
      93  				   is negative this is a negative
      94  				   number.  */
      95    mp_limb_t *_mp_d;		/* Pointer to the limbs.  */
      96  } __mpz_struct;
      97  #endif
      98  #endif /* __GNU_MP__ */
      99  
     100  /* User-visible types.  */
     101  typedef __mpz_struct MP_INT;
     102  typedef __mpz_struct mpz_t[1];
     103  
     104  /* Structure for rational numbers.  Zero is represented as 0/any, i.e.
     105     the denominator is ignored.  Negative numbers have the sign in
     106     the numerator.  */
     107  typedef struct
     108  {
     109    __mpz_struct _mp_num;
     110    __mpz_struct _mp_den;
     111  #if 0
     112    int _mp_num_alloc;		/* Number of limbs allocated
     113  				   for the numerator.  */
     114    int _mp_num_size;		/* The absolute value of this field is the
     115  				   length of the numerator; the sign is the
     116  				   sign of the entire rational number.  */
     117    mp_ptr _mp_num;		/* Pointer to the numerator limbs.  */
     118    int _mp_den_alloc;		/* Number of limbs allocated
     119  				   for the denominator.  */
     120    int _mp_den_size;		/* Length of the denominator.  (This field
     121  				   should always be positive.) */
     122    mp_ptr _mp_den;		/* Pointer to the denominator limbs.  */
     123  #endif
     124  } __mpq_struct;
     125  
     126  typedef __mpq_struct MP_RAT;
     127  typedef __mpq_struct mpq_t[1];
     128  
     129  typedef struct
     130  {
     131    int _mp_prec;			/* Max precision, in number of `mp_limb_t's.
     132  				   Set by mpf_init and modified by
     133  				   mpf_set_prec.  The area pointed to
     134  				   by the `d' field contains `prec' + 1
     135  				   limbs.  */
     136    int _mp_size;			/* abs(SIZE) is the number of limbs
     137  				   the last field points to.  If SIZE
     138  				   is negative this is a negative
     139  				   number.  */
     140    mp_exp_t _mp_exp;		/* Exponent, in the base of `mp_limb_t'.  */
     141    mp_limb_t *_mp_d;		/* Pointer to the limbs.  */
     142  } __mpf_struct;
     143  
     144  /* typedef __mpf_struct MP_FLOAT; */
     145  typedef __mpf_struct mpf_t[1];
     146  
     147  /* Types for function declarations in gmp files.  */
     148  /* ??? Should not pollute user name space with these ??? */
     149  typedef __gmp_const __mpz_struct *mpz_srcptr;
     150  typedef __mpz_struct *mpz_ptr;
     151  typedef __gmp_const __mpf_struct *mpf_srcptr;
     152  typedef __mpf_struct *mpf_ptr;
     153  typedef __gmp_const __mpq_struct *mpq_srcptr;
     154  typedef __mpq_struct *mpq_ptr;
     155  
     156  #ifndef _PROTO
     157  #if defined (__STDC__) || defined (__cplusplus)
     158  #define _PROTO(x) x
     159  #else
     160  #define _PROTO(x) ()
     161  #endif
     162  #endif
     163  
     164  #ifndef __MPN
     165  #if defined (__STDC__) || defined (__cplusplus)
     166  #define __MPN(x) __mpn_##x
     167  #else
     168  #define __MPN(x) __mpn_/**/x
     169  #endif
     170  #endif
     171  
     172  #if defined (FILE) || defined (_STDIO_H_) || defined (__STDIO_H__) || defined (H_STDIO)
     173  #define _GMP_H_HAVE_FILE 1
     174  #endif
     175  
     176  void mp_set_memory_functions _PROTO ((void *(*) (size_t),
     177  				      void *(*) (void *, size_t, size_t),
     178  				      void (*) (void *, size_t)));
     179  extern const int mp_bits_per_limb;
     180  
     181  /**************** Integer (i.e. Z) routines.  ****************/
     182  
     183  #if defined (__cplusplus)
     184  extern "C" {
     185  #endif
     186  void *_mpz_realloc _PROTO ((mpz_ptr, mp_size_t));
     187  
     188  void mpz_abs _PROTO ((mpz_ptr, mpz_srcptr));
     189  void mpz_add _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
     190  void mpz_add_ui _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
     191  void mpz_and _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
     192  void mpz_array_init _PROTO ((mpz_ptr, mp_size_t, mp_size_t));
     193  void mpz_cdiv_q _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
     194  unsigned long int mpz_cdiv_q_ui _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
     195  void mpz_cdiv_qr _PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr));
     196  unsigned long int mpz_cdiv_qr_ui _PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int));
     197  void mpz_cdiv_r _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
     198  unsigned long int mpz_cdiv_r_ui _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
     199  unsigned long int mpz_cdiv_ui _PROTO ((mpz_srcptr, unsigned long int));
     200  void mpz_clear _PROTO ((mpz_ptr));
     201  void mpz_clrbit _PROTO ((mpz_ptr, unsigned long int));
     202  int mpz_cmp _PROTO ((mpz_srcptr, mpz_srcptr));
     203  int mpz_cmp_si _PROTO ((mpz_srcptr, signed long int));
     204  int mpz_cmp_ui _PROTO ((mpz_srcptr, unsigned long int));
     205  void mpz_com _PROTO ((mpz_ptr, mpz_srcptr));
     206  void mpz_divexact _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
     207  void mpz_fac_ui _PROTO ((mpz_ptr, unsigned long int));
     208  void mpz_fdiv_q _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
     209  void mpz_fdiv_q_2exp _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
     210  unsigned long int mpz_fdiv_q_ui _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
     211  void mpz_fdiv_qr _PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr));
     212  unsigned long int mpz_fdiv_qr_ui _PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int));
     213  void mpz_fdiv_r _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
     214  void mpz_fdiv_r_2exp _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
     215  unsigned long int mpz_fdiv_r_ui _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
     216  unsigned long int mpz_fdiv_ui _PROTO ((mpz_srcptr, unsigned long int));
     217  void mpz_gcd _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
     218  unsigned long int mpz_gcd_ui _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
     219  void mpz_gcdext _PROTO ((mpz_ptr, mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr));
     220  /* signed */ long int mpz_get_si _PROTO ((mpz_srcptr));
     221  char *mpz_get_str _PROTO ((char *, int, mpz_srcptr));
     222  unsigned long int mpz_get_ui _PROTO ((mpz_srcptr));
     223  mp_limb_t mpz_getlimbn _PROTO ((mpz_srcptr, mp_size_t));
     224  unsigned long int mpz_hamdist _PROTO ((mpz_srcptr, mpz_srcptr));
     225  void mpz_init _PROTO ((mpz_ptr));
     226  #ifdef _GMP_H_HAVE_FILE
     227  size_t mpz_inp_binary _PROTO ((mpz_ptr, FILE *));
     228  size_t mpz_inp_raw _PROTO ((mpz_ptr, FILE *));
     229  size_t mpz_inp_str _PROTO ((mpz_ptr, FILE *, int));
     230  #endif
     231  void mpz_init_set _PROTO ((mpz_ptr, mpz_srcptr));
     232  void mpz_init_set_d _PROTO ((mpz_ptr, double));
     233  void mpz_init_set_si _PROTO ((mpz_ptr, signed long int));
     234  int mpz_init_set_str _PROTO ((mpz_ptr, const char *, int));
     235  void mpz_init_set_ui _PROTO ((mpz_ptr, unsigned long int));
     236  int mpz_invert _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
     237  void mpz_ior _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
     238  int mpz_jacobi _PROTO ((mpz_srcptr, mpz_srcptr));
     239  int mpz_legendre _PROTO ((mpz_srcptr, mpz_srcptr));
     240  void mpz_mod _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
     241  void mpz_mul _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
     242  void mpz_mul_2exp _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
     243  void mpz_mul_ui _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
     244  void mpz_neg _PROTO ((mpz_ptr, mpz_srcptr));
     245  #ifdef _GMP_H_HAVE_FILE
     246  size_t mpz_out_binary _PROTO ((FILE *, mpz_srcptr));
     247  size_t mpz_out_raw _PROTO ((FILE *, mpz_srcptr));
     248  size_t mpz_out_str _PROTO ((FILE *, int, mpz_srcptr));
     249  #endif
     250  int mpz_perfect_square_p _PROTO ((mpz_srcptr));
     251  unsigned long int mpz_popcount _PROTO ((mpz_srcptr));
     252  void mpz_pow_ui _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
     253  void mpz_powm _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr, mpz_srcptr));
     254  void mpz_powm_ui _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int, mpz_srcptr));
     255  int mpz_probab_prime_p _PROTO ((mpz_srcptr, int));
     256  void mpz_random _PROTO ((mpz_ptr, mp_size_t));
     257  void mpz_random2 _PROTO ((mpz_ptr, mp_size_t));
     258  unsigned long int mpz_scan0 _PROTO ((mpz_srcptr, unsigned long int));
     259  unsigned long int mpz_scan1 _PROTO ((mpz_srcptr, unsigned long int));
     260  void mpz_set _PROTO ((mpz_ptr, mpz_srcptr));
     261  void mpz_set_d _PROTO ((mpz_ptr, double));
     262  void mpz_set_si _PROTO ((mpz_ptr, signed long int));
     263  int mpz_set_str _PROTO ((mpz_ptr, const char *, int));
     264  void mpz_set_ui _PROTO ((mpz_ptr, unsigned long int));
     265  void mpz_setbit _PROTO ((mpz_ptr, unsigned long int));
     266  size_t mpz_size _PROTO ((mpz_srcptr));
     267  size_t mpz_sizeinbase _PROTO ((mpz_srcptr, int));
     268  void mpz_sqrt _PROTO ((mpz_ptr, mpz_srcptr));
     269  void mpz_sqrtrem _PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr));
     270  void mpz_sub _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
     271  void mpz_sub_ui _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
     272  void mpz_tdiv_q _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
     273  void mpz_tdiv_q_2exp _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
     274  void mpz_tdiv_q_ui _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
     275  void mpz_tdiv_qr _PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr));
     276  void mpz_tdiv_qr_ui _PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int));
     277  void mpz_tdiv_r _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
     278  void mpz_tdiv_r_2exp _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
     279  void mpz_tdiv_r_ui _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
     280  void mpz_ui_pow_ui _PROTO ((mpz_ptr, unsigned long int, unsigned long int));
     281  
     282  /**************** Rational (i.e. Q) routines.  ****************/
     283  
     284  void mpq_init _PROTO ((mpq_ptr));
     285  void mpq_clear _PROTO ((mpq_ptr));
     286  void mpq_set _PROTO ((mpq_ptr, mpq_srcptr));
     287  void mpq_set_ui _PROTO ((mpq_ptr, unsigned long int, unsigned long int));
     288  void mpq_set_si _PROTO ((mpq_ptr, signed long int, unsigned long int));
     289  void mpq_add _PROTO ((mpq_ptr, mpq_srcptr, mpq_srcptr));
     290  void mpq_sub _PROTO ((mpq_ptr, mpq_srcptr, mpq_srcptr));
     291  void mpq_mul _PROTO ((mpq_ptr, mpq_srcptr, mpq_srcptr));
     292  void mpq_div _PROTO ((mpq_ptr, mpq_srcptr, mpq_srcptr));
     293  void mpq_neg _PROTO ((mpq_ptr, mpq_srcptr));
     294  int mpq_cmp _PROTO ((mpq_srcptr, mpq_srcptr));
     295  int mpq_cmp_ui _PROTO ((mpq_srcptr, unsigned long int, unsigned long int));
     296  void mpq_inv _PROTO ((mpq_ptr, mpq_srcptr));
     297  void mpq_set_num _PROTO ((mpq_ptr, mpz_srcptr));
     298  void mpq_set_den _PROTO ((mpq_ptr, mpz_srcptr));
     299  void mpq_get_num _PROTO ((mpz_ptr, mpq_srcptr));
     300  void mpq_get_den _PROTO ((mpz_ptr, mpq_srcptr));
     301  double mpq_get_d _PROTO ((mpq_srcptr));
     302  void mpq_canonicalize _PROTO ((mpq_ptr));
     303  
     304  /**************** Float (i.e. F) routines.  ****************/
     305  
     306  void mpf_abs _PROTO ((mpf_ptr, mpf_srcptr));
     307  void mpf_add _PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr));
     308  void mpf_add_ui _PROTO ((mpf_ptr, mpf_srcptr, unsigned long int));
     309  void mpf_clear _PROTO ((mpf_ptr));
     310  int mpf_cmp _PROTO ((mpf_srcptr, mpf_srcptr));
     311  int mpf_cmp_si _PROTO ((mpf_srcptr, signed long int));
     312  int mpf_cmp_ui _PROTO ((mpf_srcptr, unsigned long int));
     313  void mpf_div _PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr));
     314  void mpf_div_2exp _PROTO ((mpf_ptr, mpf_srcptr, unsigned long int));
     315  void mpf_div_ui _PROTO ((mpf_ptr, mpf_srcptr, unsigned long int));
     316  void mpf_dump _PROTO ((mpf_srcptr));
     317  int mpf_eq _PROTO ((mpf_srcptr, mpf_srcptr, unsigned long int));
     318  unsigned long int mpf_get_prec _PROTO ((mpf_srcptr));
     319  char *mpf_get_str _PROTO ((char *, mp_exp_t *, int, size_t, mpf_srcptr));
     320  void mpf_init _PROTO ((mpf_ptr));
     321  void mpf_init2 _PROTO ((mpf_ptr, unsigned long int));
     322  #ifdef _GMP_H_HAVE_FILE
     323  size_t mpf_inp_str _PROTO ((mpf_ptr, FILE *, int));
     324  #endif
     325  void mpf_init_set _PROTO ((mpf_ptr, mpf_srcptr));
     326  void mpf_init_set_d _PROTO ((mpf_ptr, double));
     327  void mpf_init_set_si _PROTO ((mpf_ptr, signed long int));
     328  int mpf_init_set_str _PROTO ((mpf_ptr, char *, int));
     329  void mpf_init_set_ui _PROTO ((mpf_ptr, unsigned long int));
     330  void mpf_mul _PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr));
     331  void mpf_mul_2exp _PROTO ((mpf_ptr, mpf_srcptr, unsigned long int));
     332  void mpf_mul_ui _PROTO ((mpf_ptr, mpf_srcptr, unsigned long int));
     333  void mpf_neg _PROTO ((mpf_ptr, mpf_srcptr));
     334  #ifdef _GMP_H_HAVE_FILE
     335  size_t mpf_out_str _PROTO ((FILE *, int, size_t, mpf_srcptr));
     336  #endif
     337  void mpf_random2 _PROTO ((mpf_ptr, mp_size_t, mp_exp_t));
     338  void mpf_reldiff _PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr));
     339  void mpf_set _PROTO ((mpf_ptr, mpf_srcptr));
     340  void mpf_set_d _PROTO ((mpf_ptr, double));
     341  void mpf_set_default_prec _PROTO ((unsigned long int));
     342  void mpf_set_prec _PROTO ((mpf_ptr, unsigned long int));
     343  void mpf_set_prec_raw _PROTO ((mpf_ptr, unsigned long int));
     344  void mpf_set_si _PROTO ((mpf_ptr, signed long int));
     345  int mpf_set_str _PROTO ((mpf_ptr, const char *, int));
     346  void mpf_set_ui _PROTO ((mpf_ptr, unsigned long int));
     347  size_t mpf_size _PROTO ((mpf_srcptr));
     348  void mpf_sqrt _PROTO ((mpf_ptr, mpf_srcptr));
     349  void mpf_sqrt_ui _PROTO ((mpf_ptr, unsigned long int));
     350  void mpf_sub _PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr));
     351  void mpf_sub_ui _PROTO ((mpf_ptr, mpf_srcptr, unsigned long int));
     352  void mpf_ui_div _PROTO ((mpf_ptr, unsigned long int, mpf_srcptr));
     353  void mpf_ui_sub _PROTO ((mpf_ptr, unsigned long int, mpf_srcptr));
     354  #if defined (__cplusplus)
     355  }
     356  #endif
     357  /************ Low level positive-integer (i.e. N) routines.  ************/
     358  
     359  /* This is ugly, but we need to make usr calls reach the prefixed function.  */
     360  #define mpn_add			__MPN(add)
     361  #define mpn_add_1		__MPN(add_1)
     362  #define mpn_add_n		__MPN(add_n)
     363  #define mpn_addmul_1		__MPN(addmul_1)
     364  #define mpn_bdivmod		__MPN(bdivmod)
     365  #define mpn_cmp			__MPN(cmp)
     366  #define mpn_divmod_1		__MPN(divmod_1)
     367  #define mpn_divrem		__MPN(divrem)
     368  #define mpn_divrem_1		__MPN(divrem_1)
     369  #define mpn_dump		__MPN(dump)
     370  #define mpn_gcd			__MPN(gcd)
     371  #define mpn_gcd_1		__MPN(gcd_1)
     372  #define mpn_gcdext		__MPN(gcdext)
     373  #define mpn_get_str		__MPN(get_str)
     374  #define mpn_hamdist		__MPN(hamdist)
     375  #define mpn_lshift		__MPN(lshift)
     376  #define mpn_mod_1		__MPN(mod_1)
     377  #define mpn_mul			__MPN(mul)
     378  #define mpn_mul_1		__MPN(mul_1)
     379  #define mpn_mul_n		__MPN(mul_n)
     380  #define mpn_perfect_square_p	__MPN(perfect_square_p)
     381  #define mpn_popcount		__MPN(popcount)
     382  #define mpn_preinv_mod_1	__MPN(preinv_mod_1)
     383  #define mpn_random2		__MPN(random2)
     384  #define mpn_rshift		__MPN(rshift)
     385  #define mpn_scan0		__MPN(scan0)
     386  #define mpn_scan1		__MPN(scan1)
     387  #define mpn_set_str		__MPN(set_str)
     388  #define mpn_sqrtrem		__MPN(sqrtrem)
     389  #define mpn_sub			__MPN(sub)
     390  #define mpn_sub_1		__MPN(sub_1)
     391  #define mpn_sub_n		__MPN(sub_n)
     392  #define mpn_submul_1		__MPN(submul_1)
     393  #define mpn_udiv_w_sdiv		__MPN(udiv_w_sdiv)
     394  
     395  #if defined (__cplusplus)
     396  extern "C" {
     397  #endif
     398  mp_limb_t mpn_add _PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr,mp_size_t)) _ATTRIBUTE_HIDDEN;
     399  mp_limb_t mpn_add_1 _PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t)) _ATTRIBUTE_HIDDEN;
     400  mp_limb_t mpn_add_n _PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t)) _ATTRIBUTE_HIDDEN;
     401  mp_limb_t mpn_addmul_1 _PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t)) _ATTRIBUTE_HIDDEN;
     402  mp_limb_t mpn_bdivmod _PROTO ((mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_size_t, unsigned long int)) _ATTRIBUTE_HIDDEN;
     403  int mpn_cmp _PROTO ((mp_srcptr, mp_srcptr, mp_size_t)) _ATTRIBUTE_HIDDEN;
     404  mp_limb_t mpn_divmod_1 _PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t)) _ATTRIBUTE_HIDDEN;
     405  mp_limb_t mpn_divrem _PROTO ((mp_ptr, mp_size_t, mp_ptr, mp_size_t, mp_srcptr, mp_size_t)) _ATTRIBUTE_HIDDEN;
     406  mp_limb_t mpn_divrem_1 _PROTO ((mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_limb_t)) _ATTRIBUTE_HIDDEN;
     407  void mpn_dump _PROTO ((mp_srcptr, mp_size_t)) _ATTRIBUTE_HIDDEN;
     408  mp_size_t mpn_gcd _PROTO ((mp_ptr, mp_ptr, mp_size_t, mp_ptr, mp_size_t)) _ATTRIBUTE_HIDDEN;
     409  mp_limb_t mpn_gcd_1 _PROTO ((mp_srcptr, mp_size_t, mp_limb_t)) _ATTRIBUTE_HIDDEN;
     410  mp_size_t mpn_gcdext _PROTO ((mp_ptr, mp_ptr, mp_ptr, mp_size_t, mp_ptr, mp_size_t)) _ATTRIBUTE_HIDDEN;
     411  size_t mpn_get_str _PROTO ((unsigned char *, int, mp_ptr, mp_size_t)) _ATTRIBUTE_HIDDEN;
     412  unsigned long int mpn_hamdist _PROTO ((mp_srcptr, mp_srcptr, mp_size_t)) _ATTRIBUTE_HIDDEN;
     413  mp_limb_t mpn_lshift _PROTO ((mp_ptr, mp_srcptr, mp_size_t, unsigned int)) _ATTRIBUTE_HIDDEN;
     414  mp_limb_t mpn_mod_1 _PROTO ((mp_srcptr, mp_size_t, mp_limb_t)) _ATTRIBUTE_HIDDEN;
     415  mp_limb_t mpn_mul _PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t)) _ATTRIBUTE_HIDDEN;
     416  mp_limb_t mpn_mul_1 _PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t)) _ATTRIBUTE_HIDDEN;
     417  void mpn_mul_n _PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t)) _ATTRIBUTE_HIDDEN;
     418  int mpn_perfect_square_p _PROTO ((mp_srcptr, mp_size_t)) _ATTRIBUTE_HIDDEN;
     419  unsigned long int mpn_popcount _PROTO ((mp_srcptr, mp_size_t)) _ATTRIBUTE_HIDDEN;
     420  mp_limb_t mpn_preinv_mod_1 _PROTO ((mp_srcptr, mp_size_t, mp_limb_t, mp_limb_t)) _ATTRIBUTE_HIDDEN;
     421  void mpn_random2 _PROTO ((mp_ptr, mp_size_t)) _ATTRIBUTE_HIDDEN;
     422  mp_limb_t mpn_rshift _PROTO ((mp_ptr, mp_srcptr, mp_size_t, unsigned int)) _ATTRIBUTE_HIDDEN;
     423  unsigned long int mpn_scan0 _PROTO ((mp_srcptr, unsigned long int)) _ATTRIBUTE_HIDDEN;
     424  unsigned long int mpn_scan1 _PROTO ((mp_srcptr, unsigned long int)) _ATTRIBUTE_HIDDEN;
     425  mp_size_t mpn_set_str _PROTO ((mp_ptr, const unsigned char *, size_t, int)) _ATTRIBUTE_HIDDEN;
     426  mp_size_t mpn_sqrtrem _PROTO ((mp_ptr, mp_ptr, mp_srcptr, mp_size_t)) _ATTRIBUTE_HIDDEN;
     427  mp_limb_t mpn_sub _PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr,mp_size_t)) _ATTRIBUTE_HIDDEN;
     428  mp_limb_t mpn_sub_1 _PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t)) _ATTRIBUTE_HIDDEN;
     429  mp_limb_t mpn_sub_n _PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t)) _ATTRIBUTE_HIDDEN;
     430  mp_limb_t mpn_submul_1 _PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t)) _ATTRIBUTE_HIDDEN;
     431  #if defined (__cplusplus)
     432  }
     433  #endif
     434  
     435  #if defined (__GNUC__) || defined (_FORCE_INLINES)
     436  _EXTERN_INLINE mp_limb_t
     437  #if defined (__STDC__) || defined (__cplusplus)
     438  mpn_add_1 (register mp_ptr res_ptr,
     439  	   register mp_srcptr s1_ptr,
     440  	   register mp_size_t s1_size,
     441  	   register mp_limb_t s2_limb)
     442  #else
     443  mpn_add_1 (res_ptr, s1_ptr, s1_size, s2_limb)
     444       register mp_ptr res_ptr;
     445       register mp_srcptr s1_ptr;
     446       register mp_size_t s1_size;
     447       register mp_limb_t s2_limb;
     448  #endif
     449  {
     450    register mp_limb_t x;
     451  
     452    x = *s1_ptr++;
     453    s2_limb = x + s2_limb;
     454    *res_ptr++ = s2_limb;
     455    if (s2_limb < x)
     456      {
     457        while (--s1_size != 0)
     458  	{
     459  	  x = *s1_ptr++ + 1;
     460  	  *res_ptr++ = x;
     461  	  if (x != 0)
     462  	    goto fin;
     463  	}
     464  
     465        return 1;
     466      }
     467  
     468   fin:
     469    if (res_ptr != s1_ptr)
     470      {
     471        mp_size_t i;
     472        for (i = 0; i < s1_size - 1; i++)
     473  	res_ptr[i] = s1_ptr[i];
     474      }
     475    return 0;
     476  }
     477  
     478  _EXTERN_INLINE mp_limb_t
     479  #if defined (__STDC__) || defined (__cplusplus)
     480  mpn_add (register mp_ptr res_ptr,
     481  	 register mp_srcptr s1_ptr,
     482  	 register mp_size_t s1_size,
     483  	 register mp_srcptr s2_ptr,
     484  	 register mp_size_t s2_size)
     485  #else
     486  mpn_add (res_ptr, s1_ptr, s1_size, s2_ptr, s2_size)
     487       register mp_ptr res_ptr;
     488       register mp_srcptr s1_ptr;
     489       register mp_size_t s1_size;
     490       register mp_srcptr s2_ptr;
     491       register mp_size_t s2_size;
     492  #endif
     493  {
     494    mp_limb_t cy_limb = 0;
     495  
     496    if (s2_size != 0)
     497      cy_limb = mpn_add_n (res_ptr, s1_ptr, s2_ptr, s2_size);
     498  
     499    if (s1_size - s2_size != 0)
     500      cy_limb = mpn_add_1 (res_ptr + s2_size,
     501  			 s1_ptr + s2_size,
     502  			 s1_size - s2_size,
     503  			 cy_limb);
     504    return cy_limb;
     505  }
     506  
     507  _EXTERN_INLINE mp_limb_t
     508  #if defined (__STDC__) || defined (__cplusplus)
     509  mpn_sub_1 (register mp_ptr res_ptr,
     510  	   register mp_srcptr s1_ptr,
     511  	   register mp_size_t s1_size,
     512  	   register mp_limb_t s2_limb)
     513  #else
     514  mpn_sub_1 (res_ptr, s1_ptr, s1_size, s2_limb)
     515       register mp_ptr res_ptr;
     516       register mp_srcptr s1_ptr;
     517       register mp_size_t s1_size;
     518       register mp_limb_t s2_limb;
     519  #endif
     520  {
     521    register mp_limb_t x;
     522  
     523    x = *s1_ptr++;
     524    s2_limb = x - s2_limb;
     525    *res_ptr++ = s2_limb;
     526    if (s2_limb > x)
     527      {
     528        while (--s1_size != 0)
     529  	{
     530  	  x = *s1_ptr++;
     531  	  *res_ptr++ = x - 1;
     532  	  if (x != 0)
     533  	    goto fin;
     534  	}
     535  
     536        return 1;
     537      }
     538  
     539   fin:
     540    if (res_ptr != s1_ptr)
     541      {
     542        mp_size_t i;
     543        for (i = 0; i < s1_size - 1; i++)
     544  	res_ptr[i] = s1_ptr[i];
     545      }
     546    return 0;
     547  }
     548  
     549  _EXTERN_INLINE mp_limb_t
     550  #if defined (__STDC__) || defined (__cplusplus)
     551  mpn_sub (register mp_ptr res_ptr,
     552  	 register mp_srcptr s1_ptr,
     553  	 register mp_size_t s1_size,
     554  	 register mp_srcptr s2_ptr,
     555  	 register mp_size_t s2_size)
     556  #else
     557  mpn_sub (res_ptr, s1_ptr, s1_size, s2_ptr, s2_size)
     558       register mp_ptr res_ptr;
     559       register mp_srcptr s1_ptr;
     560       register mp_size_t s1_size;
     561       register mp_srcptr s2_ptr;
     562       register mp_size_t s2_size;
     563  #endif
     564  {
     565    mp_limb_t cy_limb = 0;
     566  
     567    if (s2_size != 0)
     568      cy_limb = mpn_sub_n (res_ptr, s1_ptr, s2_ptr, s2_size);
     569  
     570    if (s1_size - s2_size != 0)
     571      cy_limb = mpn_sub_1 (res_ptr + s2_size,
     572  			 s1_ptr + s2_size,
     573  			 s1_size - s2_size,
     574  			 cy_limb);
     575    return cy_limb;
     576  }
     577  #endif /* __GNUC__ */
     578  
     579  /* Allow faster testing for negative, zero, and positive.  */
     580  #define mpz_sgn(Z) ((Z)->_mp_size < 0 ? -1 : (Z)->_mp_size > 0)
     581  #define mpf_sgn(F) ((F)->_mp_size < 0 ? -1 : (F)->_mp_size > 0)
     582  #define mpq_sgn(Q) ((Q)->_mp_num._mp_size < 0 ? -1 : (Q)->_mp_num._mp_size > 0)
     583  
     584  /* Allow direct user access to numerator and denominator of a mpq_t object.  */
     585  #define mpq_numref(Q) (&((Q)->_mp_num))
     586  #define mpq_denref(Q) (&((Q)->_mp_den))
     587  
     588  /* When using GCC, optimize certain common comparisons.  */
     589  #if defined (__GNUC__)
     590  #define mpz_cmp_ui(Z,UI) \
     591    (__builtin_constant_p (UI) && (UI) == 0				\
     592     ? mpz_sgn (Z) : mpz_cmp_ui (Z,UI))
     593  #define mpz_cmp_si(Z,UI) \
     594    (__builtin_constant_p (UI) && (UI) == 0 ? mpz_sgn (Z)			\
     595     : __builtin_constant_p (UI) && (UI) > 0 ? mpz_cmp_ui (Z,UI)		\
     596     : mpz_cmp_si (Z,UI))
     597  #define mpq_cmp_ui(Q,NUI,DUI) \
     598    (__builtin_constant_p (NUI) && (NUI) == 0				\
     599     ? mpq_sgn (Q) : mpq_cmp_ui (Q,NUI,DUI))
     600  #endif
     601  
     602  #define mpn_divmod(qp,np,nsize,dp,dsize) mpn_divrem (qp,0,np,nsize,dp,dsize)
     603  #if 0
     604  #define mpn_divmod_1(qp,np,nsize,dlimb) mpn_divrem_1 (qp,0,np,nsize,dlimb)
     605  #endif
     606  
     607  /* Compatibility with GMP 1.  */
     608  #define mpz_mdiv	mpz_fdiv_q
     609  #define mpz_mdivmod	mpz_fdiv_qr
     610  #define mpz_mmod	mpz_fdiv_r
     611  #define mpz_mdiv_ui	mpz_fdiv_q_ui
     612  #define mpz_mdivmod_ui(q,r,n,d) \
     613    ((r == 0) ? mpz_fdiv_q_ui (q,n,d) : mpz_fdiv_qr_ui (q,r,n,d))
     614  #define mpz_mmod_ui(r,n,d) \
     615    ((r == 0) ? mpz_fdiv_ui (n,d) : mpz_fdiv_r_ui (r,n,d))
     616  
     617  /* Useful synonyms, but not quite compatible with GMP 1.  */
     618  #define mpz_div		mpz_fdiv_q
     619  #define mpz_divmod	mpz_fdiv_qr
     620  #define mpz_div_ui	mpz_fdiv_q_ui
     621  #define mpz_divmod_ui	mpz_fdiv_qr_ui
     622  #define mpz_mod_ui	mpz_fdiv_r_ui
     623  #define mpz_div_2exp	mpz_fdiv_q_2exp
     624  #define mpz_mod_2exp	mpz_fdiv_r_2exp
     625  
     626  #define __GNU_MP_VERSION 2
     627  #define __GNU_MP_VERSION_MINOR 0
     628  #define __GMP_H__
     629  #endif /* __GMP_H__ */