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Diffstat (limited to 'newlib/libc/stdlib/mprec.h')
| -rw-r--r-- | newlib/libc/stdlib/mprec.h | 313 |
1 files changed, 313 insertions, 0 deletions
diff --git a/newlib/libc/stdlib/mprec.h b/newlib/libc/stdlib/mprec.h new file mode 100644 index 0000000..001f0c2 --- /dev/null +++ b/newlib/libc/stdlib/mprec.h @@ -0,0 +1,313 @@ +/**************************************************************** + * + * 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> + +#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 definition of Storeinc is appropriate for MIPS processors. + * An alternative that might be better on some machines is + * #define Storeinc(a,b,c) (*a++ = b << 16 | c & 0xffff) + */ +#if defined(IEEE_8087) + defined(VAX) +#define Storeinc(a,b,c) (((unsigned short *)a)[1] = (unsigned short)b, \ +((unsigned short *)a)[0] = (unsigned short)c, a++) +#else +#define Storeinc(a,b,c) (((unsigned short *)a)[0] = (unsigned short)b, \ +((unsigned short *)a)[1] = (unsigned short)c, a++) +#endif + +/* #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 +#if 0 +#define IEEE_Arith /* it is, but the code doesn't handle IEEE singles yet */ +#endif +#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 + +#define word0(x) (x.i[0]) +#define word1(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 + +#else +#undef Sudden_Underflow +#define Sudden_Underflow +#ifdef IBM +#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 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 +#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 +#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 cmp __mcmp +#define diff __mdiff +#define ulp _ulp +#define b2d _b2d +#define d2b _d2b +#define ratio _ratio + +#define tens __mprec_tens +#define bigtens __mprec_bigtens +#define tinytens __mprec_tinytens + +struct _reent ; +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)); +_Bigint * _EXFUN(diff,(struct _reent *p, _Bigint *a, _Bigint *b)); +int _EXFUN(cmp,(_Bigint *a, _Bigint *b)); + +double _EXFUN(ratio,(_Bigint *a, _Bigint *b)); +#define Bcopy(x,y) memcpy((char *)&x->_sign, (char *)&y->_sign, y->_wds*sizeof(__Long) + 2*sizeof(int)) + +#if defined(_DOUBLE_IS_32BITS) && defined(__v800) +#define n_bigtens 2 +#else +#define n_bigtens 5 +#endif + +extern _CONST double tinytens[]; +extern _CONST double bigtens[]; +extern _CONST double tens[]; + + +double _EXFUN(_mprec_log10,(int)); |