]>
git.saurik.com Git - apple/libc.git/blob - gdtoa/FreeBSD/gdtoaimp.h
dd398e46004f17b69e4f0d06abf34f898a724caa
1 /****************************************************************
3 The author of this software is David M. Gay.
5 Copyright (C) 1998-2000 by Lucent Technologies
8 Permission to use, copy, modify, and distribute this software and
9 its documentation for any purpose and without fee is hereby
10 granted, provided that the above copyright notice appear in all
11 copies and that both that the copyright notice and this
12 permission notice and warranty disclaimer appear in supporting
13 documentation, and that the name of Lucent or any of its entities
14 not be used in advertising or publicity pertaining to
15 distribution of the software without specific, written prior
18 LUCENT DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE,
19 INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS.
20 IN NO EVENT SHALL LUCENT OR ANY OF ITS ENTITIES BE LIABLE FOR ANY
21 SPECIAL, INDIRECT OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
22 WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER
23 IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION,
24 ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF
27 ****************************************************************/
29 /* $FreeBSD: src/contrib/gdtoa/gdtoaimp.h,v 1.5 2003/04/09 06:04:35 das Exp $ */
31 /* This is a variation on dtoa.c that converts arbitary binary
32 floating-point formats to and from decimal notation. It uses
33 double-precision arithmetic internally, so there are still
34 various #ifdefs that adapt the calculations to the native
35 double-precision arithmetic (any of IEEE, VAX D_floating,
36 or IBM mainframe arithmetic).
38 Please send bug reports to
40 Bell Laboratories, Room 2C-463
42 Murray Hill, NJ 07974-0636
47 /* On a machine with IEEE extended-precision registers, it is
48 * necessary to specify double-precision (53-bit) rounding precision
49 * before invoking strtod or dtoa. If the machine uses (the equivalent
50 * of) Intel 80x87 arithmetic, the call
51 * _control87(PC_53, MCW_PC);
52 * does this with many compilers. Whether this or another call is
53 * appropriate depends on the compiler; for this to work, it may be
54 * necessary to #include "float.h" or another system-dependent header
58 /* strtod for IEEE-, VAX-, and IBM-arithmetic machines.
60 * This strtod returns a nearest machine number to the input decimal
61 * string (or sets errno to ERANGE). With IEEE arithmetic, ties are
62 * broken by the IEEE round-even rule. Otherwise ties are broken by
63 * biased rounding (add half and chop).
65 * Inspired loosely by William D. Clinger's paper "How to Read Floating
66 * Point Numbers Accurately" [Proc. ACM SIGPLAN '90, pp. 92-101].
70 * 1. We only require IEEE, IBM, or VAX double-precision
71 * arithmetic (not IEEE double-extended).
72 * 2. We get by with floating-point arithmetic in a case that
73 * Clinger missed -- when we're computing d * 10^n
74 * for a small integer d and the integer n is not too
75 * much larger than 22 (the maximum integer k for which
76 * we can represent 10^k exactly), we may be able to
77 * compute (d*10^k) * 10^(e-k) with just one roundoff.
78 * 3. Rather than a bit-at-a-time adjustment of the binary
79 * result in the hard case, we use floating-point
80 * arithmetic to determine the adjustment to within
81 * one bit; only in really hard cases do we need to
82 * compute a second residual.
83 * 4. Because of 3., we don't need a large table of powers of 10
84 * for ten-to-e (just some small tables, e.g. of 10^k
89 * #define IEEE_8087 for IEEE-arithmetic machines where the least
90 * significant byte has the lowest address.
91 * #define IEEE_MC68k for IEEE-arithmetic machines where the most
92 * significant byte has the lowest address.
93 * #define Long int on machines with 32-bit ints and 64-bit longs.
94 * #define Sudden_Underflow for IEEE-format machines without gradual
95 * underflow (i.e., that flush to zero on underflow).
96 * #define IBM for IBM mainframe-style floating-point arithmetic.
97 * #define VAX for VAX-style floating-point arithmetic (D_floating).
98 * #define No_leftright to omit left-right logic in fast floating-point
99 * computation of dtoa.
100 * #define Check_FLT_ROUNDS if FLT_ROUNDS can assume the values 2 or 3.
101 * #define RND_PRODQUOT to use rnd_prod and rnd_quot (assembly routines
102 * that use extended-precision instructions to compute rounded
103 * products and quotients) with IBM.
104 * #define ROUND_BIASED for IEEE-format with biased rounding.
105 * #define Inaccurate_Divide for IEEE-format with correctly rounded
106 * products but inaccurate quotients, e.g., for Intel i860.
107 * #define NO_LONG_LONG on machines that do not have a "long long"
108 * integer type (of >= 64 bits). On such machines, you can
109 * #define Just_16 to store 16 bits per 32-bit Long when doing
110 * high-precision integer arithmetic. Whether this speeds things
111 * up or slows things down depends on the machine and the number
112 * being converted. If long long is available and the name is
113 * something other than "long long", #define Llong to be the name,
114 * and if "unsigned Llong" does not work as an unsigned version of
115 * Llong, #define #ULLong to be the corresponding unsigned type.
116 * #define KR_headers for old-style C function headers.
117 * #define Bad_float_h if your system lacks a float.h or if it does not
118 * define some or all of DBL_DIG, DBL_MAX_10_EXP, DBL_MAX_EXP,
119 * FLT_RADIX, FLT_ROUNDS, and DBL_MAX.
120 * #define MALLOC your_malloc, where your_malloc(n) acts like malloc(n)
121 * if memory is available and otherwise does something you deem
122 * appropriate. If MALLOC is undefined, malloc will be invoked
123 * directly -- and assumed always to succeed.
124 * #define Omit_Private_Memory to omit logic (added Jan. 1998) for making
125 * memory allocations from a private pool of memory when possible.
126 * When used, the private pool is PRIVATE_MEM bytes long: 2304 bytes,
127 * unless #defined to be a different length. This default length
128 * suffices to get rid of MALLOC calls except for unusual cases,
129 * such as decimal-to-binary conversion of a very long string of
130 * digits. When converting IEEE double precision values, the
131 * longest string gdtoa can return is about 751 bytes long. For
132 * conversions by strtod of strings of 800 digits and all gdtoa
133 * conversions of IEEE doubles in single-threaded executions with
134 * 8-byte pointers, PRIVATE_MEM >= 7400 appears to suffice; with
135 * 4-byte pointers, PRIVATE_MEM >= 7112 appears adequate.
136 * #define INFNAN_CHECK on IEEE systems to cause strtod to check for
137 * Infinity and NaN (case insensitively). On some systems (e.g.,
138 * some HP systems), it may be necessary to #define NAN_WORD0
139 * appropriately -- to the most significant word of a quiet NaN.
140 * (On HP Series 700/800 machines, -DNAN_WORD0=0x7ff40000 works.)
141 * When INFNAN_CHECK is #defined and No_Hex_NaN is not #defined,
142 * strtodg also accepts (case insensitively) strings of the form
143 * NaN(x), where x is a string of hexadecimal digits and spaces;
144 * if there is only one string of hexadecimal digits, it is taken
145 * for the fraction bits of the resulting NaN; if there are two or
146 * more strings of hexadecimal digits, each string is assigned
147 * to the next available sequence of 32-bit words of fractions
148 * bits (starting with the most significant), right-aligned in
150 * #define MULTIPLE_THREADS if the system offers preemptively scheduled
151 * multiple threads. In this case, you must provide (or suitably
152 * #define) two locks, acquired by ACQUIRE_DTOA_LOCK(n) and freed
153 * by FREE_DTOA_LOCK(n) for n = 0 or 1. (The second lock, accessed
154 * in pow5mult, ensures lazy evaluation of only one copy of high
155 * powers of 5; omitting this lock would introduce a small
156 * probability of wasting memory, but would otherwise be harmless.)
157 * You must also invoke freedtoa(s) to free the value s returned by
158 * dtoa. You may do so whether or not MULTIPLE_THREADS is #defined.
159 * #define IMPRECISE_INEXACT if you do not care about the setting of
160 * the STRTOG_Inexact bits in the special case of doing IEEE double
161 * precision conversions (which could also be done by the strtog in
163 * #define NO_HEX_FP to disable recognition of C9x's hexadecimal
164 * floating-point constants.
165 * #define -DNO_ERRNO to suppress setting errno (in strtod.c and
167 * #define NO_STRING_H to use private versions of memcpy.
168 * On some K&R systems, it may also be necessary to
169 * #define DECLARE_SIZE_T in this case.
170 * #define YES_ALIAS to permit aliasing certain double values with
171 * arrays of ULongs. This leads to slightly better code with
172 * some compilers and was always used prior to 19990916, but it
173 * is not strictly legal and can cause trouble with aggressively
174 * optimizing compilers (e.g., gcc 2.95.1 under -O2).
175 * #define USE_LOCALE to use the current locale's decimal_point value.
178 #ifndef GDTOAIMP_H_INCLUDED
179 #define GDTOAIMP_H_INCLUDED
184 #define Bug(x) {fprintf(stderr, "%s\n", x); exit(1);}
190 #include "libc_private.h"
191 #include "spinlock.h"
200 extern Char
*MALLOC
ANSI((size_t));
202 #define MALLOC malloc
209 #undef Avoid_Underflow
222 #define DBL_MAX_10_EXP 308
223 #define DBL_MAX_EXP 1024
225 #define DBL_MAX 1.7976931348623157e+308
230 #define DBL_MAX_10_EXP 75
231 #define DBL_MAX_EXP 63
233 #define DBL_MAX 7.2370055773322621e+75
238 #define DBL_MAX_10_EXP 38
239 #define DBL_MAX_EXP 127
241 #define DBL_MAX 1.7014118346046923e+38
246 #define LONG_MAX 2147483647
249 #else /* ifndef Bad_float_h */
251 #endif /* Bad_float_h */
254 #define Scale_Bit 0x10
274 #if defined(IEEE_8087) + defined(IEEE_MC68k) + defined(VAX) + defined(IBM) != 1
275 Exactly one of IEEE_8087
, IEEE_MC68k
, VAX
, or IBM should be defined
.
278 typedef union { double d
; ULong L
[2]; } U
;
283 #define word0(x) ((ULong *)&x)[1]
284 #define word1(x) ((ULong *)&x)[0]
286 #define word0(x) ((ULong *)&x)[0]
287 #define word1(x) ((ULong *)&x)[1]
289 #else /* !YES_ALIAS */
291 #define word0(x) ((U*)&x)->L[1]
292 #define word1(x) ((U*)&x)->L[0]
294 #define word0(x) ((U*)&x)->L[0]
295 #define word1(x) ((U*)&x)->L[1]
297 #define dval(x) ((U*)&x)->d
298 #endif /* YES_ALIAS */
300 /* The following definition of Storeinc is appropriate for MIPS processors.
301 * An alternative that might be better on some machines is
302 * #define Storeinc(a,b,c) (*a++ = b << 16 | c & 0xffff)
304 #if defined(IEEE_8087) + defined(VAX)
305 #define Storeinc(a,b,c) (((unsigned short *)a)[1] = (unsigned short)b, \
306 ((unsigned short *)a)[0] = (unsigned short)c, a++)
308 #define Storeinc(a,b,c) (((unsigned short *)a)[0] = (unsigned short)b, \
309 ((unsigned short *)a)[1] = (unsigned short)c, a++)
312 /* #define P DBL_MANT_DIG */
313 /* Ten_pmax = floor(P*log(2)/log(5)) */
314 /* Bletch = (highest power of 2 < DBL_MAX_10_EXP) / 16 */
315 /* Quick_max = floor((P-1)*log(FLT_RADIX)/log(10) - 1) */
316 /* Int_max = floor(P*log(FLT_RADIX)/log(10) - 1) */
320 #define Exp_shift1 20
321 #define Exp_msk1 0x100000
322 #define Exp_msk11 0x100000
323 #define Exp_mask 0x7ff00000
327 #define Exp_1 0x3ff00000
328 #define Exp_11 0x3ff00000
330 #define Frac_mask 0xfffff
331 #define Frac_mask1 0xfffff
334 #define Bndry_mask 0xfffff
335 #define Bndry_mask1 0xfffff
337 #define Sign_bit 0x80000000
346 #define Flt_Rounds FLT_ROUNDS
350 #endif /*Flt_Rounds*/
352 #else /* ifndef IEEE_Arith */
353 #undef Sudden_Underflow
354 #define Sudden_Underflow
359 #define Exp_shift1 24
360 #define Exp_msk1 0x1000000
361 #define Exp_msk11 0x1000000
362 #define Exp_mask 0x7f000000
365 #define Exp_1 0x41000000
366 #define Exp_11 0x41000000
367 #define Ebits 8 /* exponent has 7 bits, but 8 is the right value in b2d */
368 #define Frac_mask 0xffffff
369 #define Frac_mask1 0xffffff
372 #define Bndry_mask 0xefffff
373 #define Bndry_mask1 0xffffff
375 #define Sign_bit 0x80000000
377 #define Tiny0 0x100000
386 #define Exp_msk1 0x80
387 #define Exp_msk11 0x800000
388 #define Exp_mask 0x7f80
391 #define Exp_1 0x40800000
392 #define Exp_11 0x4080
394 #define Frac_mask 0x7fffff
395 #define Frac_mask1 0xffff007f
398 #define Bndry_mask 0xffff007f
399 #define Bndry_mask1 0xffff007f
401 #define Sign_bit 0x8000
407 #endif /* IBM, VAX */
408 #endif /* IEEE_Arith */
415 #define rounded_product(a,b) a = rnd_prod(a, b)
416 #define rounded_quotient(a,b) a = rnd_quot(a, b)
418 extern double rnd_prod(), rnd_quot();
420 extern double rnd_prod(double, double), rnd_quot(double, double);
423 #define rounded_product(a,b) a *= b
424 #define rounded_quotient(a,b) a /= b
427 #define Big0 (Frac_mask1 | Exp_msk1*(DBL_MAX_EXP+Bias-1))
428 #define Big1 0xffffffff
440 /* When Pack_32 is not defined, we store 16 bits per 32-bit Long.
441 * This makes some inner loops simpler and sometimes saves work
442 * during multiplications, but it often seems to make things slightly
443 * slower. Hence the default is now to store 32 bits per Long.
446 #else /* long long available */
448 #define Llong long long
451 #define ULLong unsigned Llong
453 #endif /* NO_LONG_LONG */
459 #define ALL_ON 0xffffffff
464 #define ALL_ON 0xffff
467 #define MULTIPLE_THREADS
468 extern spinlock_t __gdtoa_locks
[2];
469 #define ACQUIRE_DTOA_LOCK(n) do { \
471 _SPINLOCK(&__gdtoa_locks[n]); \
473 #define FREE_DTOA_LOCK(n) do { \
475 _SPINUNLOCK(&__gdtoa_locks[n]); \
483 int k
, maxwds
, sign
, wds
;
487 typedef struct Bigint Bigint
;
490 #ifdef DECLARE_SIZE_T
491 typedef unsigned int size_t;
493 extern void memcpy_D2A
ANSI((void*, const void*, size_t));
494 #define Bcopy(x,y) memcpy_D2A(&x->sign,&y->sign,y->wds*sizeof(ULong) + 2*sizeof(int))
495 #else /* !NO_STRING_H */
496 #define Bcopy(x,y) memcpy(&x->sign,&y->sign,y->wds*sizeof(ULong) + 2*sizeof(int))
497 #endif /* NO_STRING_H */
500 * Paranoia: Protect exported symbols, including ones in files we don't
501 * compile right now. The standard strtof and strtod survive.
504 #define gdtoa __gdtoa
505 #define freedtoa __freedtoa
506 #define strtodg __strtodg
507 #define g_ddfmt __g_ddfmt
508 #define g_dfmt __g_dfmt
509 #define g_ffmt __g_ffmt
510 #define g_Qfmt __g_Qfmt
511 #define g_xfmt __g_xfmt
512 #define g_xLfmt __g_xLfmt
513 #define strtoId __strtoId
514 #define strtoIdd __strtoIdd
515 #define strtoIf __strtoIf
516 #define strtoIQ __strtoIQ
517 #define strtoIx __strtoIx
518 #define strtoIxL __strtoIxL
519 #define strtord __strtord
520 #define strtordd __strtordd
521 #define strtorf __strtorf
522 #define strtorQ __strtorQ
523 #define strtorx __strtorx
524 #define strtorxL __strtorxL
525 #define strtodI __strtodI
526 #define strtopd __strtopd
527 #define strtopdd __strtopdd
528 #define strtopf __strtopf
529 #define strtopQ __strtopQ
530 #define strtopx __strtopx
531 #define strtopxL __strtopxL
533 /* Protect gdtoa-internal symbols */
534 #define Balloc __Balloc_D2A
535 #define Bfree __Bfree_D2A
536 #define ULtoQ __ULtoQ_D2A
537 #define ULtof __ULtof_D2A
538 #define ULtod __ULtod_D2A
539 #define ULtodd __ULtodd_D2A
540 #define ULtox __ULtox_D2A
541 #define ULtoxL __ULtoxL_D2A
542 #define any_on __any_on_D2A
543 #define b2d __b2d_D2A
544 #define bigtens __bigtens_D2A
545 #define cmp __cmp_D2A
546 #define copybits __copybits_D2A
547 #define d2b __d2b_D2A
548 #define decrement __decrement_D2A
549 #define diff __diff_D2A
550 #define dtoa_result __dtoa_result_D2A
551 #define g__fmt __g__fmt_D2A
552 #define gethex __gethex_D2A
553 #define hexdig __hexdig_D2A
554 #define hexdig_init_D2A __hexdig_init_D2A
555 #define hexnan __hexnan_D2A
556 #define hi0bits __hi0bits_D2A
557 #define i2b __i2b_D2A
558 #define increment __increment_D2A
559 #define lo0bits __lo0bits_D2A
560 #define lshift __lshift_D2A
561 #define match __match_D2A
562 #define mult __mult_D2A
563 #define multadd __multadd_D2A
564 #define nrv_alloc __nrv_alloc_D2A
565 #define pow5mult __pow5mult_D2A
566 #define quorem __quorem_D2A
567 #define ratio __ratio_D2A
568 #define rshift __rshift_D2A
569 #define rv_alloc __rv_alloc_D2A
570 #define s2b __s2b_D2A
571 #define set_ones __set_ones_D2A
572 #define strcp __strcp_D2A
573 #define strcp_D2A __strcp_D2A
574 #define strtoIg __strtoIg_D2A
575 #define sum __sum_D2A
576 #define tens __tens_D2A
577 #define tinytens __tinytens_D2A
578 #define tinytens __tinytens_D2A
579 #define trailz __trailz_D2A
580 #define ulp __ulp_D2A
582 extern char *dtoa_result
;
583 extern CONST
double bigtens
[], tens
[], tinytens
[];
584 extern unsigned char hexdig
[];
586 extern Bigint
*Balloc
ANSI((int));
587 extern void Bfree
ANSI((Bigint
*));
588 extern void ULtof
ANSI((ULong
*, ULong
*, Long
, int));
589 extern void ULtod
ANSI((ULong
*, ULong
*, Long
, int));
590 extern void ULtodd
ANSI((ULong
*, ULong
*, Long
, int));
591 extern void ULtoQ
ANSI((ULong
*, ULong
*, Long
, int));
592 extern void ULtox
ANSI((UShort
*, ULong
*, Long
, int));
593 extern void ULtoxL
ANSI((ULong
*, ULong
*, Long
, int));
594 extern ULong any_on
ANSI((Bigint
*, int));
595 extern double b2d
ANSI((Bigint
*, int*));
596 extern int cmp
ANSI((Bigint
*, Bigint
*));
597 extern void copybits
ANSI((ULong
*, int, Bigint
*));
598 extern Bigint
*d2b
ANSI((double, int*, int*));
599 extern int decrement
ANSI((Bigint
*));
600 extern Bigint
*diff
ANSI((Bigint
*, Bigint
*));
601 extern char *dtoa
ANSI((double d
, int mode
, int ndigits
,
602 int *decpt
, int *sign
, char **rve
));
603 extern void freedtoa
ANSI((char*));
604 extern char *gdtoa
ANSI((FPI
*fpi
, int be
, ULong
*bits
, int *kindp
,
605 int mode
, int ndigits
, int *decpt
, char **rve
));
606 extern char *g__fmt
ANSI((char*, char*, char*, int, ULong
));
607 extern int gethex
ANSI((CONST
char**, FPI
*, Long
*, Bigint
**, int));
608 extern void hexdig_init_D2A(Void
);
609 extern int hexnan
ANSI((CONST
char**, FPI
*, ULong
*));
610 extern int hi0bits
ANSI((ULong
));
611 extern Bigint
*i2b
ANSI((int));
612 extern Bigint
*increment
ANSI((Bigint
*));
613 extern int lo0bits
ANSI((ULong
*));
614 extern Bigint
*lshift
ANSI((Bigint
*, int));
615 extern int match
ANSI((CONST
char**, char*));
616 extern Bigint
*mult
ANSI((Bigint
*, Bigint
*));
617 extern Bigint
*multadd
ANSI((Bigint
*, int, int));
618 extern char *nrv_alloc
ANSI((char*, char **, int));
619 extern Bigint
*pow5mult
ANSI((Bigint
*, int));
620 extern int quorem
ANSI((Bigint
*, Bigint
*));
621 extern double ratio
ANSI((Bigint
*, Bigint
*));
622 extern void rshift
ANSI((Bigint
*, int));
623 extern char *rv_alloc
ANSI((int));
624 extern Bigint
*s2b
ANSI((CONST
char*, int, int, ULong
));
625 extern Bigint
*set_ones
ANSI((Bigint
*, int));
626 extern char *strcp
ANSI((char*, const char*));
627 extern int strtodg
ANSI((CONST
char*, char**, FPI
*, Long
*, ULong
*));
629 extern int strtoId
ANSI((CONST
char *, char **, double *, double *));
630 extern int strtoIdd
ANSI((CONST
char *, char **, double *, double *));
631 extern int strtoIf
ANSI((CONST
char *, char **, float *, float *));
632 extern int strtoIg
ANSI((CONST
char*, char**, FPI
*, Long
*, Bigint
**, int*));
633 extern int strtoIQ
ANSI((CONST
char *, char **, void *, void *));
634 extern int strtoIx
ANSI((CONST
char *, char **, void *, void *));
635 extern int strtoIxL
ANSI((CONST
char *, char **, void *, void *));
636 extern double strtod
ANSI((const char *s00
, char **se
));
637 extern int strtopQ
ANSI((CONST
char *, char **, Void
*));
638 extern int strtopf
ANSI((CONST
char *, char **, float *));
639 extern int strtopd
ANSI((CONST
char *, char **, double *));
640 extern int strtopdd
ANSI((CONST
char *, char **, double *));
641 extern int strtopx
ANSI((CONST
char *, char **, Void
*));
642 extern int strtopxL
ANSI((CONST
char *, char **, Void
*));
643 extern int strtord
ANSI((CONST
char *, char **, int, double *));
644 extern int strtordd
ANSI((CONST
char *, char **, int, double *));
645 extern int strtorf
ANSI((CONST
char *, char **, int, float *));
646 extern int strtorQ
ANSI((CONST
char *, char **, int, void *));
647 extern int strtorx
ANSI((CONST
char *, char **, int, void *));
648 extern int strtorxL
ANSI((CONST
char *, char **, int, void *));
649 extern Bigint
*sum
ANSI((Bigint
*, Bigint
*));
650 extern int trailz
ANSI((Bigint
*));
651 extern double ulp
ANSI((double));
673 #define NAN_WORD0 0x7ff80000
679 #endif /* INFNAN_CHECK */
682 #ifdef Sudden_Underflow
688 #endif /* GDTOAIMP_H_INCLUDED */