mirror of https://github.com/macssh/macssh.git
205 lines
8.2 KiB
C
Executable File
205 lines
8.2 KiB
C
Executable File
/* 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 struct {
|
|
unsigned long int _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; /* abs(_mp_size) 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,
|
|
remaining bits are used to store the number of allocated limbs */
|
|
#define FLAG_NAN(x) (((x)->_mp_size >> 30)&1)
|
|
#define SET_NAN(x) ((x)->_mp_size |= (1<<30))
|
|
#define ABSSIZE(x) ((x)->_mp_size & ((1<<30)-1))
|
|
#define SIZE(x) ((x)->_mp_size)
|
|
#define EXP(x) ((x)->_mp_exp)
|
|
#define MANT(x) ((x)->_mp_d)
|
|
#define SIGN(x) (((x)->_mp_size >> 31) ? -1 : 1)
|
|
#define ISNONNEG(x) (SIGN(x)>=0)
|
|
#define ISNEG(x) (SIGN(x)==-1)
|
|
#define CHANGE_SIGN(x) (SIZE(x) = SIZE(x) ^ (1<<31))
|
|
#define PREC(x) ((x)->_mp_prec)
|
|
#define NOTZERO(x) (MANT(x)[(PREC(x)-1)/BITS_PER_MP_LIMB])
|
|
#define SET_ZERO(x) (MANT(x)[(PREC(x)-1)/BITS_PER_MP_LIMB] = 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, (x)->_mp_prec>>3 + 1, (q)>>3 + 1); \
|
|
(x)->_mp_prec = q; }
|
|
|
|
void mpfr_init2 _PROTO ((mpfr_ptr, unsigned long int));
|
|
int mpfr_round_raw _PROTO ((mp_limb_t *, mp_limb_t *, unsigned long, char,
|
|
unsigned long, char));
|
|
int mpfr_round_raw2 _PROTO ((mp_limb_t *, unsigned long, char, char,
|
|
unsigned long));
|
|
void mpfr_round _PROTO ((mpfr_ptr, char, unsigned long));
|
|
int mpfr_can_round _PROTO ((mpfr_ptr, unsigned long, unsigned char,
|
|
unsigned char, unsigned long));
|
|
int mpfr_can_round_raw _PROTO ((mp_limb_t *, unsigned long, int,
|
|
unsigned long,
|
|
unsigned char, unsigned char, unsigned long));
|
|
void mpfr_set_d _PROTO ((mpfr_ptr, double, unsigned char));
|
|
int mpfr_set_z _PROTO ((mpfr_ptr, mpz_srcptr, unsigned char));
|
|
double mpfr_get_d _PROTO ((mpfr_srcptr));
|
|
double mpfr_get_d2 _PROTO ((mpfr_srcptr, long));
|
|
void mpfr_set_f _PROTO ((mpfr_ptr, mpf_srcptr, char));
|
|
void mpfr_set_si _PROTO ((mpfr_ptr, long, unsigned char));
|
|
void mpfr_set_ui _PROTO ((mpfr_ptr, unsigned long, unsigned char));
|
|
void mpfr_print_raw _PROTO ((mpfr_srcptr));
|
|
void mpfr_random _PROTO ((mpfr_ptr));
|
|
void mpfr_clear _PROTO ((mpfr_ptr));
|
|
void mpfr_set_str_raw _PROTO ((mpfr_ptr, char *));
|
|
void mpfr_get_str_raw _PROTO ((char *, mpfr_srcptr));
|
|
char* mpfr_get_str _PROTO ((char *, mp_exp_t *, int, size_t, mpfr_srcptr, unsigned char));
|
|
size_t mpfr_out_str _PROTO ((FILE *, int, size_t, mpfr_srcptr, unsigned char));
|
|
void mpfr_mul _PROTO ((mpfr_ptr, mpfr_srcptr, mpfr_srcptr, unsigned char));
|
|
void mpfr_pow_ui _PROTO ((mpfr_ptr, mpfr_srcptr, unsigned int, unsigned char));
|
|
void mpfr_ui_pow_ui _PROTO ((mpfr_ptr, unsigned int, unsigned int, unsigned char));
|
|
mp_limb_t mpn_divrem_n _PROTO ((mp_limb_t *, mp_limb_t *, mp_limb_t *, mp_size_t));
|
|
mp_size_t kara_sqrtrem _PROTO ((mp_limb_t *, mp_limb_t *, mp_limb_t *, mp_size_t));
|
|
void mpfr_div _PROTO ((mpfr_ptr, mpfr_srcptr, mpfr_srcptr, unsigned char));
|
|
void mpfr_agm _PROTO ((mpfr_ptr, mpfr_srcptr, mpfr_srcptr, unsigned char));
|
|
int mpfr_sqrt _PROTO ((mpfr_ptr, mpfr_srcptr, unsigned char));
|
|
void mpfr_add _PROTO ((mpfr_ptr, mpfr_srcptr, mpfr_srcptr, unsigned char));
|
|
int mpfr_add_one_ulp _PROTO ((mpfr_ptr));
|
|
void mpfr_sub _PROTO ((mpfr_ptr, mpfr_srcptr, mpfr_srcptr, unsigned char));
|
|
void mpfr_set4 _PROTO ((mpfr_ptr, mpfr_srcptr, unsigned char, int));
|
|
void mpfr_pi _PROTO ((mpfr_ptr, unsigned char));
|
|
void mpfr_log2 _PROTO ((mpfr_ptr, unsigned char));
|
|
int mpfr_log _PROTO ((mpfr_ptr, mpfr_srcptr, unsigned char));
|
|
int mpfr_exp _PROTO ((mpfr_ptr, mpfr_srcptr, unsigned char));
|
|
int mpfr_zeta _PROTO ((mpfr_ptr, mpfr_srcptr, unsigned char));
|
|
void mpfr_mul_ui _PROTO((mpfr_ptr, mpfr_srcptr, unsigned long, unsigned char));
|
|
void mpfr_set_machine_rnd_mode _PROTO ((unsigned char));
|
|
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,unsigned char));
|
|
void mpfr_div_2exp _PROTO((mpfr_ptr, mpfr_srcptr, unsigned long int,unsigned char));
|
|
void mpfr_set_prec _PROTO((mpfr_ptr, unsigned long int));
|
|
void mpfr_set_default_prec _PROTO((unsigned long int));
|
|
extern mp_size_t __gmp_default_fp_bit_precision;
|
|
extern char __gmp_default_rounding_mode;
|
|
char * mpfr_print_rnd_mode _PROTO((unsigned char));
|
|
void mpfr_neg _PROTO((mpfr_ptr, mpfr_srcptr, unsigned char));
|
|
int mpfr_sub_one_ulp _PROTO((mpfr_ptr x));
|
|
int mpfr_div_ui _PROTO((mpfr_ptr y, mpfr_srcptr x, unsigned long u, unsigned char rnd_mode));
|
|
unsigned long int mpfr_get_prec _PROTO((mpfr_t x));
|
|
|
|
#define mpfr_init(x) mpfr_init2(x, __gmp_default_fp_bit_precision)
|
|
#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,SIGN(b))
|
|
#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, p, rnd) \
|
|
mpfr_init2((x), (p)); mpfr_set_si((x), (i), (rnd));
|
|
#define mpfr_init_set_ui(x, i, p, rnd) \
|
|
mpfr_init2((x), (p)); mpfr_set_ui((x), (i), (rnd));
|
|
#define mpfr_init_set_d(x, d, p, rnd) \
|
|
mpfr_init2((x), (p)); mpfr_set_d((x), (d), (rnd));
|
|
#define mpfr_init_set(x, y, p, rnd) \
|
|
mpfr_init2((x), (p)); mpfr_set((x), (y), (rnd));
|
|
#define mpfr_init_set_f(x, y, p, rnd) \
|
|
mpfr_init2((x), (p)); mpfr_set_f((x), (y), (rnd));
|
|
#define mpfr_init_set_str(x, y, p, rnd) \
|
|
mpfr_init2((x), (p)); mpfr_set_str((x), (y), (rnd));
|
|
#define mpfr_init_set_str_raw(x, y, p, rnd) \
|
|
mpfr_init2((x), (p)); mpfr_set_str_raw((x), (y), (rnd));
|
|
|