gdtoa/gdtoaimp.h

   1 /****************************************************************
   2
   3 The author of this software is David M. Gay.
   4
   5 Copyright (C) 1998-2000 by Lucent Technologies
   6 All Rights Reserved
   7
   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
  16 permission.
  17
  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
  25 THIS SOFTWARE.
  26
  27 ****************************************************************/
  28
  29 /* This is a variation on dtoa.c that converts arbitary binary
  30    floating-point formats to and from decimal notation.  It uses
  31    double-precision arithmetic internally, so there are still
  32    various #ifdefs that adapt the calculations to the native
  33    double-precision arithmetic (any of IEEE, VAX D_floating,
  34    or IBM mainframe arithmetic).
  35
  36    Please send bug reports to David M. Gay (dmg at acm dot org,
  37    with " at " changed at "@" and " dot " changed to ".").
  38  */
  39
  40 /* On a machine with IEEE extended-precision registers, it is
  41  * necessary to specify double-precision (53-bit) rounding precision
  42  * before invoking strtod or dtoa.  If the machine uses (the equivalent
  43  * of) Intel 80x87 arithmetic, the call
  44  *      _control87(PC_53, MCW_PC);
  45  * does this with many compilers.  Whether this or another call is
  46  * appropriate depends on the compiler; for this to work, it may be
  47  * necessary to #include "float.h" or another system-dependent header
  48  * file.
  49  */
  50
  51 /* strtod for IEEE-, VAX-, and IBM-arithmetic machines.
  52  *
  53  * This strtod returns a nearest machine number to the input decimal
  54  * string (or sets errno to ERANGE).  With IEEE arithmetic, ties are
  55  * broken by the IEEE round-even rule.  Otherwise ties are broken by
  56  * biased rounding (add half and chop).
  57  *
  58  * Inspired loosely by William D. Clinger's paper "How to Read Floating
  59  * Point Numbers Accurately" [Proc. ACM SIGPLAN '90, pp. 112-126].
  60  *
  61  * Modifications:
  62  *
  63  *      1. We only require IEEE, IBM, or VAX double-precision
  64  *              arithmetic (not IEEE double-extended).
  65  *      2. We get by with floating-point arithmetic in a case that
  66  *              Clinger missed -- when we're computing d * 10^n
  67  *              for a small integer d and the integer n is not too
  68  *              much larger than 22 (the maximum integer k for which
  69  *              we can represent 10^k exactly), we may be able to
  70  *              compute (d*10^k) * 10^(e-k) with just one roundoff.
  71  *      3. Rather than a bit-at-a-time adjustment of the binary
  72  *              result in the hard case, we use floating-point
  73  *              arithmetic to determine the adjustment to within
  74  *              one bit; only in really hard cases do we need to
  75  *              compute a second residual.
  76  *      4. Because of 3., we don't need a large table of powers of 10
  77  *              for ten-to-e (just some small tables, e.g. of 10^k
  78  *              for 0 <= k <= 22).
  79  */
  80
  81 /*
  82  * #define IEEE_8087 for IEEE-arithmetic machines where the least
  83  *      significant byte has the lowest address.
  84  * #define IEEE_MC68k for IEEE-arithmetic machines where the most
  85  *      significant byte has the lowest address.
  86  * #define Long int on machines with 32-bit ints and 64-bit longs.
  87  * #define Sudden_Underflow for IEEE-format machines without gradual
  88  *      underflow (i.e., that flush to zero on underflow).
  89  * #define IBM for IBM mainframe-style floating-point arithmetic.
  90  * #define VAX for VAX-style floating-point arithmetic (D_floating).
  91  * #define No_leftright to omit left-right logic in fast floating-point
  92  *      computation of dtoa.
  93  * #define Check_FLT_ROUNDS if FLT_ROUNDS can assume the values 2 or 3.
  94  * #define RND_PRODQUOT to use rnd_prod and rnd_quot (assembly routines
  95  *      that use extended-precision instructions to compute rounded
  96  *      products and quotients) with IBM.
  97  * #define ROUND_BIASED for IEEE-format with biased rounding.
  98  * #define Inaccurate_Divide for IEEE-format with correctly rounded
  99  *      products but inaccurate quotients, e.g., for Intel i860.
 100  * #define NO_LONG_LONG on machines that do not have a "long long"
 101  *      integer type (of >= 64 bits).  On such machines, you can
 102  *      #define Just_16 to store 16 bits per 32-bit Long when doing
 103  *      high-precision integer arithmetic.  Whether this speeds things
 104  *      up or slows things down depends on the machine and the number
 105  *      being converted.  If long long is available and the name is
 106  *      something other than "long long", #define Llong to be the name,
 107  *      and if "unsigned Llong" does not work as an unsigned version of
 108  *      Llong, #define #ULLong to be the corresponding unsigned type.
 109  * #define KR_headers for old-style C function headers.
 110  * #define Bad_float_h if your system lacks a float.h or if it does not
 111  *      define some or all of DBL_DIG, DBL_MAX_10_EXP, DBL_MAX_EXP,
 112  *      FLT_RADIX, FLT_ROUNDS, and DBL_MAX.
 113  * #define MALLOC your_malloc, where your_malloc(n) acts like malloc(n)
 114  *      if memory is available and otherwise does something you deem
 115  *      appropriate.  If MALLOC is undefined, malloc will be invoked
 116  *      directly -- and assumed always to succeed.
 117  * #define Omit_Private_Memory to omit logic (added Jan. 1998) for making
 118  *      memory allocations from a private pool of memory when possible.
 119  *      When used, the private pool is PRIVATE_MEM bytes long:  2304 bytes,
 120  *      unless #defined to be a different length.  This default length
 121  *      suffices to get rid of MALLOC calls except for unusual cases,
 122  *      such as decimal-to-binary conversion of a very long string of
 123  *      digits.  When converting IEEE double precision values, the
 124  *      longest string gdtoa can return is about 751 bytes long.  For
 125  *      conversions by strtod of strings of 800 digits and all gdtoa
 126  *      conversions of IEEE doubles in single-threaded executions with
 127  *      8-byte pointers, PRIVATE_MEM >= 7400 appears to suffice; with
 128  *      4-byte pointers, PRIVATE_MEM >= 7112 appears adequate.
 129  * #define INFNAN_CHECK on IEEE systems to cause strtod to check for
 130  *      Infinity and NaN (case insensitively).
 131  *      When INFNAN_CHECK is #defined and No_Hex_NaN is not #defined,
 132  *      strtodg also accepts (case insensitively) strings of the form
 133  *      NaN(x), where x is a string of hexadecimal digits and spaces;
 134  *      if there is only one string of hexadecimal digits, it is taken
 135  *      for the fraction bits of the resulting NaN; if there are two or
 136  *      more strings of hexadecimal digits, each string is assigned
 137  *      to the next available sequence of 32-bit words of fractions
 138  *      bits (starting with the most significant), right-aligned in
 139  *      each sequence.
 140  * #define MULTIPLE_THREADS if the system offers preemptively scheduled
 141  *      multiple threads.  In this case, you must provide (or suitably
 142  *      #define) two locks, acquired by ACQUIRE_DTOA_LOCK(n) and freed
 143  *      by FREE_DTOA_LOCK(n) for n = 0 or 1.  (The second lock, accessed
 144  *      in pow5mult, ensures lazy evaluation of only one copy of high
 145  *      powers of 5; omitting this lock would introduce a small
 146  *      probability of wasting memory, but would otherwise be harmless.)
 147  *      You must also invoke freedtoa(s) to free the value s returned by
 148  *      dtoa.  You may do so whether or not MULTIPLE_THREADS is #defined.
 149  * #define IMPRECISE_INEXACT if you do not care about the setting of
 150  *      the STRTOG_Inexact bits in the special case of doing IEEE double
 151  *      precision conversions (which could also be done by the strtog in
 152  *      dtoa.c).
 153  * #define NO_HEX_FP to disable recognition of C9x's hexadecimal
 154  *      floating-point constants.
 155  * #define -DNO_ERRNO to suppress setting errno (in strtod.c and
 156  *      strtodg.c).
 157  * #define NO_STRING_H to use private versions of memcpy.
 158  *      On some K&R systems, it may also be necessary to
 159  *      #define DECLARE_SIZE_T in this case.
 160  * #define YES_ALIAS to permit aliasing certain double values with
 161  *      arrays of ULongs.  This leads to slightly better code with
 162  *      some compilers and was always used prior to 19990916, but it
 163  *      is not strictly legal and can cause trouble with aggressively
 164  *      optimizing compilers (e.g., gcc 2.95.1 under -O2).
 165  * #define USE_LOCALE to use the current locale's decimal_point value.
 166  */
 167
 168 #ifndef GDTOAIMP_H_INCLUDED
 169 #define GDTOAIMP_H_INCLUDED
 170 #include <xlocale.h>
 171 #include "gdtoa.h"
 172 #include "gd_qnan.h"
 173
 174 #ifdef DEBUG
 175 #include "stdio.h"
 176 #define Bug(x) {fprintf(stderr, "%s\n", x); exit(1);}
 177 #endif
 178
 179 #include "limits.h"
 180 #include "stdlib.h"
 181 #include "string.h"
 182 #include "libc_private.h"
 183 #include "spinlock.h"
 184
 185 #ifdef KR_headers
 186 #define Char char
 187 #else
 188 #define Char void
 189 #endif
 190
 191 #ifdef MALLOC
 192 extern Char *MALLOC ANSI((size_t));
 193 #else
 194 #define MALLOC malloc
 195 #endif
 196
 197 #define INFNAN_CHECK
 198 #define USE_LOCALE
 199
 200 #undef IEEE_Arith
 201 #undef Avoid_Underflow
 202 #ifdef IEEE_MC68k
 203 #define IEEE_Arith
 204 #endif
 205 #ifdef IEEE_8087
 206 #define IEEE_Arith
 207 #endif
 208
 209 #include "errno.h"
 210 #ifdef Bad_float_h
 211
 212 #ifdef IEEE_Arith
 213 #define DBL_DIG 15
 214 #define DBL_MAX_10_EXP 308
 215 #define DBL_MAX_EXP 1024
 216 #define FLT_RADIX 2
 217 #define DBL_MAX 1.7976931348623157e+308
 218 #endif
 219
 220 #ifdef IBM
 221 #define DBL_DIG 16
 222 #define DBL_MAX_10_EXP 75
 223 #define DBL_MAX_EXP 63
 224 #define FLT_RADIX 16
 225 #define DBL_MAX 7.2370055773322621e+75
 226 #endif
 227
 228 #ifdef VAX
 229 #define DBL_DIG 16
 230 #define DBL_MAX_10_EXP 38
 231 #define DBL_MAX_EXP 127
 232 #define FLT_RADIX 2
 233 #define DBL_MAX 1.7014118346046923e+38
 234 #define n_bigtens 2
 235 #endif
 236
 237 #ifndef LONG_MAX
 238 #define LONG_MAX 2147483647
 239 #endif
 240
 241 #else /* ifndef Bad_float_h */
 242 #include "float.h"
 243 #endif /* Bad_float_h */
 244
 245 #ifdef IEEE_Arith
 246 #define Scale_Bit 0x10
 247 #define n_bigtens 5
 248 #endif
 249
 250 #ifdef IBM
 251 #define n_bigtens 3
 252 #endif
 253
 254 #ifdef VAX
 255 #define n_bigtens 2
 256 #endif
 257
 258 #ifndef __MATH_H__
 259 #include "math.h"
 260 #endif
 261
 262 #ifdef __cplusplus
 263 extern "C" {
 264 #endif
 265
 266 #if defined(IEEE_8087) + defined(IEEE_MC68k) + defined(VAX) + defined(IBM) != 1
 267 Exactly one of IEEE_8087, IEEE_MC68k, VAX, or IBM should be defined.
 268 #endif
 269
 270 typedef union { double d; ULong L[2]; } U;
 271
 272 #ifdef YES_ALIAS
 273 #define dval(x) x
 274 #ifdef IEEE_8087
 275 #define word0(x) ((ULong *)&x)[1]
 276 #define word1(x) ((ULong *)&x)[0]
 277 #else
 278 #define word0(x) ((ULong *)&x)[0]
 279 #define word1(x) ((ULong *)&x)[1]
 280 #endif
 281 #else /* !YES_ALIAS */
 282 #ifdef IEEE_8087
 283 #define word0(x) ((U*)&x)->L[1]
 284 #define word1(x) ((U*)&x)->L[0]
 285 #else
 286 #define word0(x) ((U*)&x)->L[0]
 287 #define word1(x) ((U*)&x)->L[1]
 288 #endif
 289 #define dval(x) ((U*)&x)->d
 290 #endif /* YES_ALIAS */
 291
 292 /* The following definition of Storeinc is appropriate for MIPS processors.
 293  * An alternative that might be better on some machines is
 294  * #define Storeinc(a,b,c) (*a++ = b << 16 | c & 0xffff)
 295  */
 296 #if defined(IEEE_8087) + defined(VAX)
 297 #define Storeinc(a,b,c) (((unsigned short *)a)[1] = (unsigned short)b, \
 298 ((unsigned short *)a)[0] = (unsigned short)c, a++)
 299 #else
 300 #define Storeinc(a,b,c) (((unsigned short *)a)[0] = (unsigned short)b, \
 301 ((unsigned short *)a)[1] = (unsigned short)c, a++)
 302 #endif
 303
 304 /* #define P DBL_MANT_DIG */
 305 /* Ten_pmax = floor(P*log(2)/log(5)) */
 306 /* Bletch = (highest power of 2 < DBL_MAX_10_EXP) / 16 */
 307 /* Quick_max = floor((P-1)*log(FLT_RADIX)/log(10) - 1) */
 308 /* Int_max = floor(P*log(FLT_RADIX)/log(10) - 1) */
 309
 310 #ifdef IEEE_Arith
 311 #define Exp_shift  20
 312 #define Exp_shift1 20
 313 #define Exp_msk1    0x100000
 314 #define Exp_msk11   0x100000
 315 #define Exp_mask  0x7ff00000
 316 #define P 53
 317 #define Bias 1023
 318 #define Emin (-1022)
 319 #define Exp_1  0x3ff00000
 320 #define Exp_11 0x3ff00000
 321 #define Ebits 11
 322 #define Frac_mask  0xfffff
 323 #define Frac_mask1 0xfffff
 324 #define Ten_pmax 22
 325 #define Bletch 0x10
 326 #define Bndry_mask  0xfffff
 327 #define Bndry_mask1 0xfffff
 328 #define LSB 1
 329 #define Sign_bit 0x80000000
 330 #define Log2P 1
 331 #define Tiny0 0
 332 #define Tiny1 1
 333 #define Quick_max 14
 334 #define Int_max 14
 335
 336 #ifndef Flt_Rounds
 337 #ifdef FLT_ROUNDS
 338 #define Flt_Rounds FLT_ROUNDS
 339 #else
 340 #define Flt_Rounds 1
 341 #endif
 342 #endif /*Flt_Rounds*/
 343
 344 #else /* ifndef IEEE_Arith */
 345 #undef  Sudden_Underflow
 346 #define Sudden_Underflow
 347 #ifdef IBM
 348 #undef Flt_Rounds
 349 #define Flt_Rounds 0
 350 #define Exp_shift  24
 351 #define Exp_shift1 24
 352 #define Exp_msk1   0x1000000
 353 #define Exp_msk11  0x1000000
 354 #define Exp_mask  0x7f000000
 355 #define P 14
 356 #define Bias 65
 357 #define Exp_1  0x41000000
 358 #define Exp_11 0x41000000
 359 #define Ebits 8 /* exponent has 7 bits, but 8 is the right value in b2d */
 360 #define Frac_mask  0xffffff
 361 #define Frac_mask1 0xffffff
 362 #define Bletch 4
 363 #define Ten_pmax 22
 364 #define Bndry_mask  0xefffff
 365 #define Bndry_mask1 0xffffff
 366 #define LSB 1
 367 #define Sign_bit 0x80000000
 368 #define Log2P 4
 369 #define Tiny0 0x100000
 370 #define Tiny1 0
 371 #define Quick_max 14
 372 #define Int_max 15
 373 #else /* VAX */
 374 #undef Flt_Rounds
 375 #define Flt_Rounds 1
 376 #define Exp_shift  23
 377 #define Exp_shift1 7
 378 #define Exp_msk1    0x80
 379 #define Exp_msk11   0x800000
 380 #define Exp_mask  0x7f80
 381 #define P 56
 382 #define Bias 129
 383 #define Exp_1  0x40800000
 384 #define Exp_11 0x4080
 385 #define Ebits 8
 386 #define Frac_mask  0x7fffff
 387 #define Frac_mask1 0xffff007f
 388 #define Ten_pmax 24
 389 #define Bletch 2
 390 #define Bndry_mask  0xffff007f
 391 #define Bndry_mask1 0xffff007f
 392 #define LSB 0x10000
 393 #define Sign_bit 0x8000
 394 #define Log2P 1
 395 #define Tiny0 0x80
 396 #define Tiny1 0
 397 #define Quick_max 15
 398 #define Int_max 15
 399 #endif /* IBM, VAX */
 400 #endif /* IEEE_Arith */
 401
 402 #ifndef IEEE_Arith
 403 #define ROUND_BIASED
 404 #endif
 405
 406 #ifdef RND_PRODQUOT
 407 #define rounded_product(a,b) a = rnd_prod(a, b)
 408 #define rounded_quotient(a,b) a = rnd_quot(a, b)
 409 #ifdef KR_headers
 410 extern double rnd_prod(), rnd_quot();
 411 #else
 412 extern double rnd_prod(double, double), rnd_quot(double, double);
 413 #endif
 414 #else
 415 #define rounded_product(a,b) a *= b
 416 #define rounded_quotient(a,b) a /= b
 417 #endif
 418
 419 #define Big0 (Frac_mask1 | Exp_msk1*(DBL_MAX_EXP+Bias-1))
 420 #define Big1 0xffffffff
 421
 422 #undef  Pack_16
 423 #ifndef Pack_32
 424 #define Pack_32
 425 #endif
 426
 427 #ifdef NO_LONG_LONG
 428 #undef ULLong
 429 #ifdef Just_16
 430 #undef Pack_32
 431 #define Pack_16
 432 /* When Pack_32 is not defined, we store 16 bits per 32-bit Long.
 433  * This makes some inner loops simpler and sometimes saves work
 434  * during multiplications, but it often seems to make things slightly
 435  * slower.  Hence the default is now to store 32 bits per Long.
 436  */
 437 #endif
 438 #else   /* long long available */
 439 #ifndef Llong
 440 #define Llong long long
 441 #endif
 442 #ifndef ULLong
 443 #define ULLong unsigned Llong
 444 #endif
 445 #endif /* NO_LONG_LONG */
 446
 447 #ifdef Pack_32
 448 #define ULbits 32
 449 #define kshift 5
 450 #define kmask 31
 451 #define ALL_ON 0xffffffff
 452 #else
 453 #define ULbits 16
 454 #define kshift 4
 455 #define kmask 15
 456 #define ALL_ON 0xffff
 457 #endif
 458
 459 #define MULTIPLE_THREADS
 460 extern spinlock_t __gdtoa_locks[2];
 461 #define ACQUIRE_DTOA_LOCK(n)    do {            \
 462         if (__isthreaded)                       \
 463                 _SPINLOCK(&__gdtoa_locks[n]);   \
 464 } while(0)
 465 #define FREE_DTOA_LOCK(n)       do {            \
 466         if (__isthreaded)                       \
 467                 _SPINUNLOCK(&__gdtoa_locks[n]); \
 468 } while(0)
 469
 470 #define Kmax 15
 471
 472  struct
 473 Bigint {
 474         struct Bigint *next;
 475         int k, maxwds, sign, wds;
 476         ULong x[1];
 477         };
 478
 479  typedef struct Bigint Bigint;
 480
 481 #ifdef NO_STRING_H
 482 #ifdef DECLARE_SIZE_T
 483 typedef unsigned int size_t;
 484 #endif
 485 extern void memcpy_D2A ANSI((void*, const void*, size_t));
 486 #define Bcopy(x,y) memcpy_D2A(&x->sign,&y->sign,y->wds*sizeof(ULong) + 2*sizeof(int))
 487 #else /* !NO_STRING_H */
 488 #define Bcopy(x,y) memcpy(&x->sign,&y->sign,y->wds*sizeof(ULong) + 2*sizeof(int))
 489 #endif /* NO_STRING_H */
 490
 491 /*
 492  * Paranoia: Protect exported symbols, including ones in files we don't
 493  * compile right now.  The standard strtof and strtod survive.
 494  */
 495 #define dtoa            __dtoa
 496 #define gdtoa           __gdtoa
 497 #define freedtoa        __freedtoa
 498 #define strtodg         __strtodg
 499 #define g_ddfmt         __g_ddfmt
 500 #define g_dfmt          __g_dfmt
 501 #define g_ffmt          __g_ffmt
 502 #define g_Qfmt          __g_Qfmt
 503 #define g_xfmt          __g_xfmt
 504 #define g_xLfmt         __g_xLfmt
 505 #define strtoId         __strtoId
 506 #define strtoIdd        __strtoIdd
 507 #define strtoIf         __strtoIf
 508 #define strtoIQ         __strtoIQ
 509 #define strtoIx         __strtoIx
 510 #define strtoIxL        __strtoIxL
 511 #define strtord         __strtord
 512 #define strtordd        __strtordd
 513 #define strtorf         __strtorf
 514 #define strtorQ         __strtorQ
 515 #define strtorx         __strtorx
 516 #define strtorxL        __strtorxL
 517 #define strtodI         __strtodI
 518 #define strtopd         __strtopd
 519 #define strtopdd        __strtopdd
 520 #define strtopf         __strtopf
 521 #define strtopQ         __strtopQ
 522 #define strtopx         __strtopx
 523 #define strtopxL        __strtopxL
 524
 525 /* Protect gdtoa-internal symbols */
 526 #define Balloc          __Balloc_D2A
 527 #define Bfree           __Bfree_D2A
 528 #define ULtoQ           __ULtoQ_D2A
 529 #define ULtof           __ULtof_D2A
 530 #define ULtod           __ULtod_D2A
 531 #define ULtodd          __ULtodd_D2A
 532 #define ULtox           __ULtox_D2A
 533 #define ULtoxL          __ULtoxL_D2A
 534 #define any_on          __any_on_D2A
 535 #define b2d             __b2d_D2A
 536 #define bigtens         __bigtens_D2A
 537 #define cmp             __cmp_D2A
 538 #define copybits        __copybits_D2A
 539 #define d2b             __d2b_D2A
 540 #define decrement       __decrement_D2A
 541 #define diff            __diff_D2A
 542 #define dtoa_result     __dtoa_result_D2A
 543 #define g__fmt          __g__fmt_D2A
 544 #define gethex          __gethex_D2A
 545 #define hexdig          __hexdig_D2A
 546 #define hexdig_init_D2A __hexdig_init_D2A
 547 #define hexnan          __hexnan_D2A
 548 #define hi0bits         __hi0bits_D2A
 549 #define hi0bits_D2A     __hi0bits_D2A
 550 #define i2b             __i2b_D2A
 551 #define increment       __increment_D2A
 552 #define lo0bits         __lo0bits_D2A
 553 #define lshift          __lshift_D2A
 554 #define match           __match_D2A
 555 #define mult            __mult_D2A
 556 #define multadd         __multadd_D2A
 557 #define nrv_alloc       __nrv_alloc_D2A
 558 #define pow5mult        __pow5mult_D2A
 559 #define quorem          __quorem_D2A
 560 #define ratio           __ratio_D2A
 561 #define rshift          __rshift_D2A
 562 #define rv_alloc        __rv_alloc_D2A
 563 #define s2b             __s2b_D2A
 564 #define set_ones        __set_ones_D2A
 565 #define strcp           __strcp_D2A
 566 #define strcp_D2A       __strcp_D2A
 567 #define strtoIg         __strtoIg_D2A
 568 #define sum             __sum_D2A
 569 #define tens            __tens_D2A
 570 #define tinytens        __tinytens_D2A
 571 #define tinytens        __tinytens_D2A
 572 #define trailz          __trailz_D2A
 573 #define ulp             __ulp_D2A
 574
 575  extern char *dtoa_result;
 576  extern CONST double bigtens[], tens[], tinytens[];
 577  extern unsigned char hexdig[];
 578
 579  extern Bigint *Balloc ANSI((int));
 580  extern void Bfree ANSI((Bigint*));
 581  extern void ULtof ANSI((ULong*, ULong*, Long, int));
 582  extern void ULtod ANSI((ULong*, ULong*, Long, int));
 583  extern void ULtodd ANSI((ULong*, ULong*, Long, int));
 584  extern void ULtoQ ANSI((ULong*, ULong*, Long, int));
 585  extern void ULtox ANSI((UShort*, ULong*, Long, int));
 586  extern void ULtoxL ANSI((ULong*, ULong*, Long, int));
 587  extern ULong any_on ANSI((Bigint*, int));
 588  extern double b2d ANSI((Bigint*, int*));
 589  extern int cmp ANSI((Bigint*, Bigint*));
 590  extern void copybits ANSI((ULong*, int, Bigint*));
 591  extern Bigint *d2b ANSI((double, int*, int*));
 592  extern int decrement ANSI((Bigint*));
 593  extern Bigint *diff ANSI((Bigint*, Bigint*));
 594  extern char *dtoa ANSI((double d, int mode, int ndigits,
 595                         int *decpt, int *sign, char **rve));
 596  extern void freedtoa ANSI((char*));
 597  extern char *gdtoa ANSI((FPI *fpi, int be, ULong *bits, int *kindp,
 598                           int mode, int ndigits, int *decpt, char **rve));
 599  extern char *g__fmt ANSI((char*, char*, char*, int, ULong));
 600  extern int gethex ANSI((CONST char**, FPI*, Long*, Bigint**, int, locale_t));
 601  extern void hexdig_init_D2A(Void);
 602  extern int hexnan ANSI((CONST char**, FPI*, ULong*));
 603  extern int hi0bits_D2A ANSI((ULong));
 604  extern Bigint *i2b ANSI((int));
 605  extern Bigint *increment ANSI((Bigint*));
 606  extern int lo0bits ANSI((ULong*));
 607  extern Bigint *lshift ANSI((Bigint*, int));
 608  extern int match ANSI((CONST char**, char*));
 609  extern Bigint *mult ANSI((Bigint*, Bigint*));
 610  extern Bigint *multadd ANSI((Bigint*, int, int));
 611  extern char *nrv_alloc ANSI((char*, char **, int));
 612  extern Bigint *pow5mult ANSI((Bigint*, int));
 613  extern int quorem ANSI((Bigint*, Bigint*));
 614  extern double ratio ANSI((Bigint*, Bigint*));
 615  extern void rshift ANSI((Bigint*, int));
 616  extern char *rv_alloc ANSI((int));
 617  extern Bigint *s2b ANSI((CONST char*, int, int, ULong, int));
 618  extern Bigint *set_ones ANSI((Bigint*, int));
 619  extern char *strcp ANSI((char*, const char*));
 620  extern int strtodg ANSI((CONST char*, char**, FPI*, Long*, ULong*, locale_t)) __DARWIN_ALIAS(strtodg);
 621
 622  extern int strtoId ANSI((CONST char *, char **, double *, double *));
 623  extern int strtoIdd ANSI((CONST char *, char **, double *, double *));
 624  extern int strtoIf ANSI((CONST char *, char **, float *, float *));
 625  extern int strtoIg ANSI((CONST char*, char**, FPI*, Long*, Bigint**, int*));
 626  extern int strtoIQ ANSI((CONST char *, char **, void *, void *));
 627  extern int strtoIx ANSI((CONST char *, char **, void *, void *));
 628  extern int strtoIxL ANSI((CONST char *, char **, void *, void *));
 629  extern double strtod ANSI((const char *s00, char **se));
 630  extern double strtod_l ANSI((const char *s00, char **se, locale_t));
 631  extern int strtopQ ANSI((CONST char *, char **, Void *));
 632  extern int strtopf ANSI((CONST char *, char **, float *));
 633  extern int strtopd ANSI((CONST char *, char **, double *));
 634  extern int strtopdd ANSI((CONST char *, char **, double *, locale_t));
 635  extern int strtopx ANSI((CONST char *, char **, Void *, locale_t));
 636  extern int strtopxL ANSI((CONST char *, char **, Void *));
 637  extern int strtord ANSI((CONST char *, char **, int, double *));
 638  extern int strtordd ANSI((CONST char *, char **, int, double *));
 639  extern int strtorf ANSI((CONST char *, char **, int, float *));
 640  extern int strtorQ ANSI((CONST char *, char **, int, void *));
 641  extern int strtorx ANSI((CONST char *, char **, int, void *));
 642  extern int strtorxL ANSI((CONST char *, char **, int, void *));
 643  extern Bigint *sum ANSI((Bigint*, Bigint*));
 644  extern int trailz ANSI((Bigint*));
 645  extern double ulp ANSI((double));
 646
 647 #ifdef __cplusplus
 648 }
 649 #endif
 650 /*
 651  * NAN_WORD0 and NAN_WORD1 are only referenced in strtod.c.  Prior to
 652  * 20050115, they used to be hard-wired here (to 0x7ff80000 and 0,
 653  * respectively), but now are determined by compiling and running
 654  * qnan.c to generate gd_qnan.h, which specifies d_QNAN0 and d_QNAN1.
 655  * Formerly gdtoaimp.h recommended supplying suitable -DNAN_WORD0=...
 656  * and -DNAN_WORD1=...  values if necessary.  This should still work.
 657  * (On HP Series 700/800 machines, -DNAN_WORD0=0x7ff40000 works.)
 658  */
 659 #ifdef IEEE_Arith
 660 #ifdef IEEE_MC68k
 661 #define _0 0
 662 #define _1 1
 663 #ifndef NAN_WORD0
 664 #define NAN_WORD0 d_QNAN0
 665 #endif
 666 #ifndef NAN_WORD1
 667 #define NAN_WORD1 d_QNAN1
 668 #endif
 669 #else
 670 #define _0 1
 671 #define _1 0
 672 #ifndef NAN_WORD0
 673 #define NAN_WORD0 d_QNAN1
 674 #endif
 675 #ifndef NAN_WORD1
 676 #define NAN_WORD1 d_QNAN0
 677 #endif
 678 #endif
 679 #else
 680 #undef INFNAN_CHECK
 681 #endif
 682
 683 #undef SI
 684 #ifdef Sudden_Underflow
 685 #define SI 1
 686 #else
 687 #define SI 0
 688 #endif
 689
 690 #endif /* GDTOAIMP_H_INCLUDED */