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/* mpfr.h -- Include file for mpfr.
Copyright (C) 1999 PolKA project, Inria Lorraine and Loria
This file is part of the MPFR Library.
The MPFR Library is free software; you can redistribute it and/or modify
it under the terms of the GNU Library General Public License as published by
the Free Software Foundation; either version 2 of the License, or (at your
option) any later version.
The MPFR 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 Library General Public
License for more details.
You should have received a copy of the GNU Library General Public License
along with the MPFR 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. */
#include <stdio.h>
/* Cygnus does not know about *rand48 functions */
#ifdef __CYGWIN32__
#define mrand48 rand
#define drand48 rand
#define lrand48 rand
#define srand48 srand
#endif
/* Definition of rounding modes */
#define GMP_RNDN 0
#define GMP_RNDZ 1
#define GMP_RNDU 2
#define GMP_RNDD 3
/* Definitions of types and their semantics */
typedef unsigned long int mp_prec_t; /* easy to change if necessary */
typedef int mp_rnd_t; /* preferred to char */
typedef struct {
mp_prec_t _mp_prec; /* WARNING : for the mpfr type, the precision */
/* should be understood as the number of BITS,*/
/* not the number of mp_limb_t's. This means */
/* that the corresponding number of allocated
limbs is >= ceil(_mp_prec/BITS_PER_MP_LIMB) */
mp_size_t _mp_size; /* MPFR_ABSSIZE(.) is the number of allocated
limbs the field _mp_d points to.
The sign is that of _mp_size.
The number 0 is such that _mp_d[k-1]=0
where k = ceil(_mp_prec/BITS_PER_MP_LIMB) */
mp_exp_t _mp_exp;
mp_limb_t *_mp_d;
}
__mpfr_struct;
/*
The number represented is
sign(_mp_size)*(_mp_d[k-1]/B+_mp_d[k-2]/B^2+...+_mp_d[0]/B^k)*2^_mp_exp
where k=ceil(_mp_prec/BITS_PER_MP_LIMB) and B=2^BITS_PER_MP_LIMB.
For the msb (most significant bit) normalized representation, we must have
_mp_d[k-1]>=B/2, unless the number is zero (in that case its sign is still
given by sign(_mp_size)).
We must also have the last k*BITS_PER_MP_LIMB-_mp_prec bits set to zero.
*/
typedef __mpfr_struct mpfr_t[1];
typedef __mpfr_struct *mpfr_ptr;
typedef __gmp_const __mpfr_struct *mpfr_srcptr;
/* Prototypes */
#ifndef _PROTO
#if defined (__STDC__) || defined (__cplusplus)
#define _PROTO(x) x
#else
#define _PROTO(x) ()
#endif
#endif
/* bit 31 of _mp_size is used for sign,
bit 30 of _mp_size is used for Nan flag,
bit 29 of _mp_size is used for Inf flag,
remaining bits are used to store the number of allocated limbs */
#define MPFR_IS_NAN(x) (((x)->_mp_size >> 30)&1)
#define MPFR_SET_NAN(x) ((x)->_mp_size |= (1<<30))
#define MPFR_IS_INF(x) (((x)->_mp_size >> 29)&1)
#define MPFR_SET_INF(x) ((x)->_mp_size |= (1<<29))
#define MPFR_IS_FP(x) ((((x) -> _mp_size >> 29) & 3) == 0)
#define MPFR_SET_IS_FP(x) ((x) -> _mp_size &= 2684354559UL); /* 1001111...1 */
#define MPFR_ABSSIZE(x) ((x)->_mp_size & ((1<<30)-1))
#define MPFR_SIZE(x) ((x)->_mp_size)
#define MPFR_EXP(x) ((x)->_mp_exp)
#define MPFR_MANT(x) ((x)->_mp_d)
#define MPFR_SIGN(x) (((x)->_mp_size >> 31) ? -1 : 1)
#define MPFR_ISNONNEG(x) (MPFR_NOTZERO((x)) && MPFR_SIGN(x)>=0)
#define MPFR_ISNEG(x) (MPFR_NOTZERO((x)) && MPFR_SIGN(x)==-1)
#define MPFR_CHANGE_SIGN(x) (MPFR_SIZE(x) = MPFR_SIZE(x) ^ (((mp_size_t)1)<<31))
#define MPFR_SET_SAME_SIGN(x, y) if (MPFR_SIGN((x)) != MPFR_SIGN((y))) { MPFR_CHANGE_SIGN((x)); }
#define MPFR_PREC(x) ((x)->_mp_prec)
#define MPFR_NOTZERO(x) (MPFR_MANT(x)[(MPFR_PREC(x)-1)/BITS_PER_MP_LIMB])
#define MPFR_SET_ZERO(x) (MPFR_MANT(x)[(MPFR_PREC(x)-1)/BITS_PER_MP_LIMB] = 0)
#define mpfr_sgn(x) ((MPFR_NOTZERO(x)) ? MPFR_SIGN(x) : 0)
/* reallocates the mantissa of x to q bits and sets the precision to q */
#define _mpfr_realloc(x, q) { \
(x)->_mp_d = (mp_ptr) (*_mp_reallocate_func) \
((x)->_mp_d, (MPFR_PREC(x)-1)>>3, (q+7)>>3); \
MPFR_PREC(x) = q; }
void mpfr_init2 _PROTO ((mpfr_ptr, mp_prec_t));
void mpfr_init _PROTO ((mpfr_ptr));
int mpfr_round_raw _PROTO ((mp_limb_t *, mp_limb_t *, mp_prec_t, int,
mp_prec_t, mp_rnd_t));
int mpfr_round_raw2 _PROTO((mp_limb_t *, mp_prec_t, int, mp_rnd_t, mp_prec_t));
void mpfr_round _PROTO ((mpfr_ptr, mp_rnd_t, mp_prec_t));
int mpfr_can_round _PROTO ((mpfr_ptr, mp_prec_t, mp_rnd_t, mp_rnd_t,
mp_prec_t));
int mpfr_can_round_raw _PROTO ((mp_limb_t *, mp_prec_t, int, mp_prec_t,
mp_rnd_t, mp_rnd_t, mp_prec_t));
void mpfr_set_d _PROTO ((mpfr_ptr, double, mp_rnd_t));
int mpfr_set_z _PROTO ((mpfr_ptr, mpz_srcptr, mp_rnd_t));
mp_exp_t mpz_set_fr _PROTO ((mpz_ptr, mpfr_srcptr));
void mpfr_set_q _PROTO ((mpfr_ptr, mpq_srcptr, mp_rnd_t));
double mpfr_get_d _PROTO ((mpfr_srcptr));
double mpfr_get_d2 _PROTO ((mpfr_srcptr, long));
void mpfr_set_f _PROTO ((mpfr_ptr, mpf_srcptr, mp_rnd_t));
void mpfr_set_si _PROTO ((mpfr_ptr, long, mp_rnd_t));
void mpfr_set_ui _PROTO ((mpfr_ptr, unsigned long, mp_rnd_t));
void mpfr_print_raw _PROTO ((mpfr_srcptr));
void mpfr_random _PROTO ((mpfr_ptr));
void mpfr_random2 _PROTO ((mpfr_ptr, mp_size_t, mp_exp_t));
void mpfr_urandomb _PROTO ((mpfr_ptr, gmp_randstate_t));
void mpfr_clear _PROTO ((mpfr_ptr));
void mpfr_set_str_raw _PROTO ((mpfr_ptr, char *));
int mpfr_set_str _PROTO ((mpfr_ptr, char *, int, mp_rnd_t));
int mpfr_init_set_str _PROTO ((mpfr_ptr, char *, int, mp_rnd_t));
size_t mpfr_inp_str _PROTO ((mpfr_ptr, FILE *, int, mp_rnd_t));
void mpfr_get_str_raw _PROTO ((char *, mpfr_srcptr));
char* mpfr_get_str _PROTO ((char *, mp_exp_t *, int, size_t, mpfr_srcptr, mp_rnd_t));
size_t mpfr_out_str _PROTO ((FILE *, int, size_t, mpfr_srcptr, mp_rnd_t));
void mpfr_mul _PROTO ((mpfr_ptr, mpfr_srcptr, mpfr_srcptr, mp_rnd_t));
int mpfr_pow_ui _PROTO ((mpfr_ptr, mpfr_srcptr, unsigned long int, mp_rnd_t));
int mpfr_ui_pow_ui _PROTO ((mpfr_ptr, unsigned long int, unsigned long int,
mp_rnd_t));
mp_limb_t mpn_divrem_n _PROTO ((mp_limb_t *, mp_limb_t *, mp_limb_t *, mp_size_t));
mp_size_t mpn_sqrtrem_new _PROTO ((mp_limb_t *, mp_limb_t *, mp_limb_t *, mp_size_t));
void mpfr_div _PROTO ((mpfr_ptr, mpfr_srcptr, mpfr_srcptr, mp_rnd_t));
void mpfr_agm _PROTO ((mpfr_ptr, mpfr_srcptr, mpfr_srcptr, mp_rnd_t));
int mpfr_sqrt _PROTO ((mpfr_ptr, mpfr_srcptr, mp_rnd_t));
int mpfr_sqrt_ui _PROTO ((mpfr_ptr, unsigned long, mp_rnd_t));
void mpfr_add _PROTO ((mpfr_ptr, mpfr_srcptr, mpfr_srcptr, mp_rnd_t));
void mpfr_add_ui _PROTO ((mpfr_ptr, mpfr_srcptr, unsigned long, mp_rnd_t));
void mpfr_sub_ui _PROTO ((mpfr_ptr, mpfr_srcptr, unsigned long, mp_rnd_t));
int mpfr_add_one_ulp _PROTO ((mpfr_ptr));
void mpfr_sub _PROTO ((mpfr_ptr, mpfr_srcptr, mpfr_srcptr, mp_rnd_t));
void mpfr_ui_sub _PROTO ((mpfr_ptr, unsigned long, mpfr_srcptr, mp_rnd_t));
void mpfr_reldiff _PROTO ((mpfr_ptr, mpfr_srcptr, mpfr_srcptr, mp_rnd_t));
void mpfr_set4 _PROTO ((mpfr_ptr, mpfr_srcptr, mp_rnd_t, int));
void mpfr_const_pi _PROTO ((mpfr_ptr, mp_rnd_t));
void mpfr_const_log2 _PROTO ((mpfr_ptr, mp_rnd_t));
int mpfr_log _PROTO ((mpfr_ptr, mpfr_srcptr, mp_rnd_t));
int mpfr_exp _PROTO ((mpfr_ptr, mpfr_srcptr, mp_rnd_t));
int mpfr_zeta _PROTO ((mpfr_ptr, mpfr_srcptr, mp_rnd_t));
void mpfr_mul_ui _PROTO((mpfr_ptr, mpfr_srcptr, unsigned long int, mp_rnd_t));
void mpfr_set_machine_rnd_mode _PROTO ((mp_rnd_t));
int mpfr_cmp3 _PROTO ((mpfr_srcptr, mpfr_srcptr, long int));
int mpfr_cmp_ui_2exp _PROTO ((mpfr_srcptr, unsigned long int, int));
int mpfr_cmp_si_2exp _PROTO ((mpfr_srcptr, long int, int));
int mpfr_cmp2 _PROTO ((mpfr_srcptr, mpfr_srcptr));
void mpfr_mul_2exp _PROTO((mpfr_ptr, mpfr_srcptr, unsigned long int,mp_rnd_t));
void mpfr_div_2exp _PROTO((mpfr_ptr, mpfr_srcptr, unsigned long int,mp_rnd_t));
void mpfr_set_prec _PROTO((mpfr_ptr, mp_prec_t));
void mpfr_set_prec_raw _PROTO((mpfr_ptr, mp_prec_t));
void mpfr_set_default_prec _PROTO((mp_prec_t));
extern mp_prec_t __gmp_default_fp_bit_precision;
extern mp_rnd_t __gmp_default_rounding_mode;
char * mpfr_print_rnd_mode _PROTO((mp_rnd_t));
void mpfr_neg _PROTO((mpfr_ptr, mpfr_srcptr, mp_rnd_t));
int mpfr_sub_one_ulp _PROTO((mpfr_ptr));
int mpfr_div_ui _PROTO((mpfr_ptr, mpfr_srcptr, unsigned long int, mp_rnd_t));
void mpfr_ui_div _PROTO((mpfr_ptr, unsigned long int, mpfr_srcptr, mp_rnd_t));
mp_prec_t mpfr_get_prec _PROTO((mpfr_srcptr));
void mpfr_set_default_rounding_mode _PROTO((mp_rnd_t));
int mpfr_eq(mpfr_srcptr, mpfr_srcptr, unsigned long);
void mpfr_floor _PROTO((mpfr_ptr, mpfr_srcptr));
void mpfr_trunc _PROTO((mpfr_ptr, mpfr_srcptr));
void mpfr_ceil _PROTO((mpfr_ptr, mpfr_srcptr));
#define mpfr_cmp_ui(b,i) mpfr_cmp_ui_2exp(b,i,0)
#define mpfr_cmp_si(b,i) mpfr_cmp_si_2exp(b,i,0)
#define mpfr_set(a,b,r) mpfr_set4(a,b,r,MPFR_SIGN(b))
#define mpfr_abs(a,b,r) mpfr_set4(a,b,r,1)
#define mpfr_cmp(b,c) mpfr_cmp3(b,c,1)
#if (BITS_PER_MP_LIMB==32)
#define MPFR_LIMBS_PER_DOUBLE 2
#elif (BITS_PER_MP_LIMB==64)
#define MPFR_LIMBS_PER_DOUBLE 1
#endif
/* gmp-2.0.2 had only one threshold for both multiplication and squaring */
#ifndef KARATSUBA_MUL_THRESHOLD
#ifdef KARATSUBA_THRESHOLD
#define KARATSUBA_MUL_THRESHOLD KARATSUBA_THRESHOLD
#else
#define KARATSUBA_MUL_THRESHOLD 16
#endif
#endif
#define mpfr_init_set_si(x, i, rnd) \
do { mpfr_init(x); mpfr_set_si((x), (i), (rnd)); } while (0)
#define mpfr_init_set_ui(x, i, rnd) \
do { mpfr_init(x); mpfr_set_ui((x), (i), (rnd)); } while (0)
#define mpfr_init_set_d(x, d, rnd) \
do { mpfr_init(x); mpfr_set_d((x), (d), (rnd)); } while (0)
#define mpfr_init_set(x, y, rnd) \
do { mpfr_init(x); mpfr_set((x), (y), (rnd)); } while (0)
#define mpfr_init_set_f(x, y, rnd) \
do { mpfr_init(x); mpfr_set_f((x), (y), (rnd)); } while (0)
#define mpfr_init_set_str_raw(x, y, rnd) \
do { mpfr_init(x); mpfr_set_str_raw((x), (y), (rnd)); } while (0)
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