PlaneteCasio
/
libc
1
0
Fork 0
Code Issues 6 Pull Requests Releases Wiki Activity
libc/newlib/libc/stdlib/mprec.h

430 lines
12 KiB
C
Raw Blame History

/****************************************************************
*
* The author of this software is David M. Gay.
*
* Copyright (c) 1991 by AT&T.
*
* Permission to use, copy, modify, and distribute this software for any
* purpose without fee is hereby granted, provided that this entire notice
* is included in all copies of any software which is or includes a copy
* or modification of this software and in all copies of the supporting
* documentation for such software.
*
* THIS SOFTWARE IS BEING PROVIDED "AS IS", WITHOUT ANY EXPRESS OR IMPLIED
* WARRANTY. IN PARTICULAR, NEITHER THE AUTHOR NOR AT&T MAKES ANY
* REPRESENTATION OR WARRANTY OF ANY KIND CONCERNING THE MERCHANTABILITY
* OF THIS SOFTWARE OR ITS FITNESS FOR ANY PARTICULAR PURPOSE.
*
***************************************************************/
/* Please send bug reports to
David M. Gay
AT&T Bell Laboratories, Room 2C-463
600 Mountain Avenue
Murray Hill, NJ 07974-2070
U.S.A.
dmg@research.att.com or research!dmg
*/
#include <ieeefp.h>
#include <math.h>
#include <float.h>
#include <errno.h>
#include <sys/config.h>
#include <sys/types.h>
#ifdef __IEEE_LITTLE_ENDIAN
#define IEEE_8087
#endif
#ifdef __IEEE_BIG_ENDIAN
#define IEEE_MC68k
#endif
#ifdef __Z8000__
#define Just_16
#endif
#ifdef DEBUG
#include "stdio.h"
#define Bug(x) {fprintf(stderr, "%s\n", x); exit(1);}
#endif
#ifdef Unsigned_Shifts
#define Sign_Extend(a,b) if (b < 0) a |= (__uint32_t)0xffff0000;
#else
#define Sign_Extend(a,b) /*no-op*/
#endif
#if defined(IEEE_8087) + defined(IEEE_MC68k) + defined(VAX) + defined(IBM) != 1
Exactly one of IEEE_8087, IEEE_MC68k, VAX, or IBM should be defined.
#endif
/* If we are going to examine or modify specific bits in a double using
the word0 and/or word1 macros, then we must wrap the double inside
a union. This is necessary to avoid undefined behavior according to
the ANSI C spec. */
union double_union
{
double d;
__uint32_t i[2];
};
#ifdef IEEE_8087
#define word0(x) (x.i[1])
#define word1(x) (x.i[0])
#else
#define word0(x) (x.i[0])
#define word1(x) (x.i[1])
#endif
/* The following is taken from gdtoaimp.h for use with new strtod, but
adjusted to avoid invalid type-punning. */
typedef __int32_t Long;
/* Unfortunately, because __ULong might be a different type than
__uint32_t, we can't re-use union double_union as-is without
further edits in strtod.c. */
typedef union { double d; __ULong i[2]; } U;
#define dword0(x) word0(x)
#define dword1(x) word1(x)
#define dval(x) (x.d)
#undef SI
#ifdef Sudden_Underflow
#define SI 1
#else
#define SI 0
#endif
#define Storeinc(a,b,c) (*(a)++ = ((b) << 16) | ((c) & 0xffff))
/* #define P DBL_MANT_DIG */
/* Ten_pmax = floor(P*log(2)/log(5)) */
/* Bletch = (highest power of 2 < DBL_MAX_10_EXP) / 16 */
/* Quick_max = floor((P-1)*log(FLT_RADIX)/log(10) - 1) */
/* Int_max = floor(P*log(FLT_RADIX)/log(10) - 1) */
#if defined(IEEE_8087) + defined(IEEE_MC68k)
#if defined (_DOUBLE_IS_32BITS)
#define Exp_shift 23
#define Exp_shift1 23
#define Exp_msk1 ((__uint32_t)0x00800000L)
#define Exp_msk11 ((__uint32_t)0x00800000L)
#define Exp_mask ((__uint32_t)0x7f800000L)
#define P 24
#define Bias 127
#define NO_HEX_FP /* not supported in this case */
#define IEEE_Arith
#define Emin (-126)
#define Exp_1 ((__uint32_t)0x3f800000L)
#define Exp_11 ((__uint32_t)0x3f800000L)
#define Ebits 8
#define Frac_mask ((__uint32_t)0x007fffffL)
#define Frac_mask1 ((__uint32_t)0x007fffffL)
#define Ten_pmax 10
#define Sign_bit ((__uint32_t)0x80000000L)
#define Ten_pmax 10
#define Bletch 2
#define Bndry_mask ((__uint32_t)0x007fffffL)
#define Bndry_mask1 ((__uint32_t)0x007fffffL)
#define LSB 1
#define Sign_bit ((__uint32_t)0x80000000L)
#define Log2P 1
#define Tiny0 0
#define Tiny1 1
#define Quick_max 5
#define Int_max 6
#define Infinite(x) (word0(x) == ((__uint32_t)0x7f800000L))
#undef word0
#undef word1
#undef dword0
#undef dword1
#define word0(x) (x.i[0])
#define word1(x) 0
#define dword0(x) word0(x)
#define dword1(x) 0
#else
#define Exp_shift 20
#define Exp_shift1 20
#define Exp_msk1 ((__uint32_t)0x100000L)
#define Exp_msk11 ((__uint32_t)0x100000L)
#define Exp_mask ((__uint32_t)0x7ff00000L)
#define P 53
#define Bias 1023
#define IEEE_Arith
#define Emin (-1022)
#define Exp_1 ((__uint32_t)0x3ff00000L)
#define Exp_11 ((__uint32_t)0x3ff00000L)
#define Ebits 11
#define Frac_mask ((__uint32_t)0xfffffL)
#define Frac_mask1 ((__uint32_t)0xfffffL)
#define Ten_pmax 22
#define Bletch 0x10
#define Bndry_mask ((__uint32_t)0xfffffL)
#define Bndry_mask1 ((__uint32_t)0xfffffL)
#define LSB 1
#define Sign_bit ((__uint32_t)0x80000000L)
#define Log2P 1
#define Tiny0 0
#define Tiny1 1
#define Quick_max 14
#define Int_max 14
#define Infinite(x) (word0(x) == ((__uint32_t)0x7ff00000L)) /* sufficient test for here */
#endif /* !_DOUBLE_IS_32BITS */
#ifndef Flt_Rounds
#ifdef FLT_ROUNDS
#define Flt_Rounds FLT_ROUNDS
#else
#define Flt_Rounds 1
#endif
#endif /*Flt_Rounds*/
#else /* !IEEE_8087 && !IEEE_MC68k */
#undef Sudden_Underflow
#define Sudden_Underflow
#ifdef IBM
#define Flt_Rounds 0
#define Exp_shift 24
#define Exp_shift1 24
#define Exp_msk1 ((__uint32_t)0x1000000L)
#define Exp_msk11 ((__uint32_t)0x1000000L)
#define Exp_mask ((__uint32_t)0x7f000000L)
#define P 14
#define Bias 65
#define Exp_1 ((__uint32_t)0x41000000L)
#define Exp_11 ((__uint32_t)0x41000000L)
#define Ebits 8 /* exponent has 7 bits, but 8 is the right value in b2d */
#define Frac_mask ((__uint32_t)0xffffffL)
#define Frac_mask1 ((__uint32_t)0xffffffL)
#define Bletch 4
#define Ten_pmax 22
#define Bndry_mask ((__uint32_t)0xefffffL)
#define Bndry_mask1 ((__uint32_t)0xffffffL)
#define LSB 1
#define Sign_bit ((__uint32_t)0x80000000L)
#define Log2P 4
#define Tiny0 ((__uint32_t)0x100000L)
#define Tiny1 0
#define Quick_max 14
#define Int_max 15
#else /* VAX */
#define Flt_Rounds 1
#define Exp_shift 23
#define Exp_shift1 7
#define Exp_msk1 0x80
#define Exp_msk11 ((__uint32_t)0x800000L)
#define Exp_mask ((__uint32_t)0x7f80L)
#define P 56
#define Bias 129
#define Exp_1 ((__uint32_t)0x40800000L)
#define Exp_11 ((__uint32_t)0x4080L)
#define Ebits 8
#define Frac_mask ((__uint32_t)0x7fffffL)
#define Frac_mask1 ((__uint32_t)0xffff007fL)
#define Ten_pmax 24
#define Bletch 2
#define Bndry_mask ((__uint32_t)0xffff007fL)
#define Bndry_mask1 ((__uint32_t)0xffff007fL)
#define LSB ((__uint32_t)0x10000L)
#define Sign_bit ((__uint32_t)0x8000L)
#define Log2P 1
#define Tiny0 0x80
#define Tiny1 0
#define Quick_max 15
#define Int_max 15
#endif
#endif
#ifndef IEEE_Arith
#define ROUND_BIASED
#else
#define Scale_Bit 0x10
#if defined(_DOUBLE_IS_32BITS) && defined(__v800)
#define n_bigtens 2
#else
#define n_bigtens 5
#endif
#endif
#ifdef IBM
#define n_bigtens 3
#endif
#ifdef VAX
#define n_bigtens 2
#endif
#ifndef __NO_INFNAN_CHECK
#define INFNAN_CHECK
#endif
/*
* NAN_WORD0 and NAN_WORD1 are only referenced in strtod.c. Prior to
* 20050115, they used to be hard-wired here (to 0x7ff80000 and 0,
* respectively), but now are determined by compiling and running
* qnan.c to generate gd_qnan.h, which specifies d_QNAN0 and d_QNAN1.
* Formerly gdtoaimp.h recommended supplying suitable -DNAN_WORD0=...
* and -DNAN_WORD1=... values if necessary. This should still work.
* (On HP Series 700/800 machines, -DNAN_WORD0=0x7ff40000 works.)
*/
#ifdef IEEE_Arith
#ifdef IEEE_MC68k
#define _0 0
#define _1 1
#ifndef NAN_WORD0
#define NAN_WORD0 d_QNAN0
#endif
#ifndef NAN_WORD1
#define NAN_WORD1 d_QNAN1
#endif
#else
#define _0 1
#define _1 0
#ifndef NAN_WORD0
#define NAN_WORD0 d_QNAN1
#endif
#ifndef NAN_WORD1
#define NAN_WORD1 d_QNAN0
#endif
#endif
#else
#undef INFNAN_CHECK
#endif
#ifdef RND_PRODQUOT
#define rounded_product(a,b) a = rnd_prod(a, b)
#define rounded_quotient(a,b) a = rnd_quot(a, b)
#ifdef KR_headers
extern double rnd_prod(), rnd_quot();
#else
extern double rnd_prod(double, double), rnd_quot(double, double);
#endif
#else
#define rounded_product(a,b) a *= b
#define rounded_quotient(a,b) a /= b
#endif
#define Big0 (Frac_mask1 | Exp_msk1*(DBL_MAX_EXP+Bias-1))
#define Big1 ((__uint32_t)0xffffffffL)
#ifndef Just_16
/* When Pack_32 is not defined, we store 16 bits per 32-bit long.
* This makes some inner loops simpler and sometimes saves work
* during multiplications, but it often seems to make things slightly
* slower. Hence the default is now to store 32 bits per long.
*/
#ifndef Pack_32
#define Pack_32
#endif
#else /* Just_16 */
#ifndef Pack_16
#define Pack_16
#endif
#endif /* Just_16 */
#ifdef Pack_32
#define ULbits 32
#define kshift 5
#define kmask 31
#define ALL_ON 0xffffffff
#else
#define ULbits 16
#define kshift 4
#define kmask 15
#define ALL_ON 0xffff
#endif
#ifdef __cplusplus
extern "C" double strtod(const char *s00, char **se);
extern "C" char *dtoa(double d, int mode, int ndigits,
int *decpt, int *sign, char **rve);
#endif
typedef struct _Bigint _Bigint;
#define Balloc _Balloc
#define Bfree _Bfree
#define multadd __multadd
#define s2b __s2b
#define lo0bits __lo0bits
#define hi0bits __hi0bits
#define i2b __i2b
#define mult __multiply
#define pow5mult __pow5mult
#define lshift __lshift
#define match __match
#define cmp __mcmp
#define diff __mdiff
#define ulp __ulp
#define b2d __b2d
#define d2b __d2b
#define ratio __ratio
#define any_on __any_on
#define gethex __gethex
#define copybits __copybits
#define hexnan __hexnan
#if !defined(PREFER_SIZE_OVER_SPEED) && !defined(__OPTIMIZE_SIZE__) && !defined(_SMALL_HEXDIG)
#define __get_hexdig(x) __hexdig[x] /* NOTE: must evaluate arg only once */
#else /* !defined(PREFER_SIZE_OVER_SPEED) && !defined(__OPTIMIZE_SIZE__) && !defined(_SMALL_HEXDIG) */
#define __get_hexdig(x) __hexdig_fun(x)
#endif /* !defined(PREFER_SIZE_OVER_SPEED) && !defined(__OPTIMIZE_SIZE__) && !defined(_SMALL_HEXDIG) */
#define tens __mprec_tens
#define bigtens __mprec_bigtens
#define tinytens __mprec_tinytens
struct _reent ;
struct FPI;
double _EXFUN(ulp,(double x));
double _EXFUN(b2d,(_Bigint *a , int *e));
_Bigint * _EXFUN(Balloc,(struct _reent *p, int k));
void _EXFUN(Bfree,(struct _reent *p, _Bigint *v));
_Bigint * _EXFUN(multadd,(struct _reent *p, _Bigint *, int, int));
_Bigint * _EXFUN(s2b,(struct _reent *, const char*, int, int, __ULong));
_Bigint * _EXFUN(i2b,(struct _reent *,int));
_Bigint * _EXFUN(mult, (struct _reent *, _Bigint *, _Bigint *));
_Bigint * _EXFUN(pow5mult, (struct _reent *, _Bigint *, int k));
int _EXFUN(hi0bits,(__ULong));
int _EXFUN(lo0bits,(__ULong *));
_Bigint * _EXFUN(d2b,(struct _reent *p, double d, int *e, int *bits));
_Bigint * _EXFUN(lshift,(struct _reent *p, _Bigint *b, int k));
int _EXFUN(match,(const char**, char*));
_Bigint * _EXFUN(diff,(struct _reent *p, _Bigint *a, _Bigint *b));
int _EXFUN(cmp,(_Bigint *a, _Bigint *b));
int _EXFUN(gethex,(struct _reent *p, _CONST char **sp, _CONST struct FPI *fpi, Long *exp, _Bigint **bp, int sign));
double _EXFUN(ratio,(_Bigint *a, _Bigint *b));
__ULong _EXFUN(any_on,(_Bigint *b, int k));
void _EXFUN(copybits,(__ULong *c, int n, _Bigint *b));
#if defined (_HAVE_LONG_DOUBLE) && !defined (_LDBL_EQ_DBL)
int _EXFUN(_strtorx_r,(struct _reent *, _CONST char *, char **, int, void *));
int _EXFUN(_strtodg_r,(struct _reent *p, _CONST char *s00, char **se, struct FPI *fpi, Long *exp, __ULong *bits));
#endif /* _HAVE_LONG_DOUBLE && !_LDBL_EQ_DBL */
#if defined(PREFER_SIZE_OVER_SPEED) || defined(__OPTIMIZE_SIZE__) || defined(_SMALL_HEXDIG)
unsigned char _EXFUN(__hexdig_fun,(unsigned char));
#endif /* !defined(PREFER_SIZE_OVER_SPEED) && !defined(__OPTIMIZE_SIZE__) && !defined(_SMALL_HEXDIG) */
#ifdef INFNAN_CHECK
int _EXFUN(hexnan,(_CONST char **sp, _CONST struct FPI *fpi, __ULong *x0));
#endif
#define Bcopy(x,y) memcpy((char *)&x->_sign, (char *)&y->_sign, y->_wds*sizeof(__Long) + 2*sizeof(int))
extern _CONST double tinytens[];
extern _CONST double bigtens[];
extern _CONST double tens[];
#if !defined(PREFER_SIZE_OVER_SPEED) && !defined(__OPTIMIZE_SIZE__) && !defined(_SMALL_HEXDIG)
extern _CONST unsigned char __hexdig[];
#endif /* !defined(PREFER_SIZE_OVER_SPEED) && !defined(__OPTIMIZE_SIZE__) && !defined(_SMALL_HEXDIG) */
double _EXFUN(_mprec_log10,(int));
Reference in New Issue View Git Blame Copy Permalink