contrib/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 NO_INFNAN_CHECK if you do not wish to have INFNAN_CHECK
 130  *      #defined automatically on IEEE systems.  On such systems,
 131  *      when INFNAN_CHECK is #defined, strtod checks
 132  *      for Infinity and NaN (case insensitively).
 133  *      When INFNAN_CHECK is #defined and No_Hex_NaN is not #defined,
 134  *      strtodg also accepts (case insensitively) strings of the form
 135  *      NaN(x), where x is a string of hexadecimal digits (optionally
 136  *      preceded by 0x or 0X) and spaces; if there is only one string
 137  *      of hexadecimal digits, it is taken for the fraction bits of the
 138  *      resulting NaN; if there are two or more strings of hexadecimal
 139  *      digits, each string is assigned to the next available sequence
 140  *      of 32-bit words of fractions bits (starting with the most
 141  *      significant), right-aligned in each sequence.
 142  *      Unless GDTOA_NON_PEDANTIC_NANCHECK is #defined, input "NaN(...)"
 143  *      is consumed even when ... has the wrong form (in which case the
 144  *      "(...)" is consumed but ignored).
 145  * #define MULTIPLE_THREADS if the system offers preemptively scheduled
 146  *      multiple threads.  In this case, you must provide (or suitably
 147  *      #define) two locks, acquired by ACQUIRE_DTOA_LOCK(n) and freed
 148  *      by FREE_DTOA_LOCK(n) for n = 0 or 1.  (The second lock, accessed
 149  *      in pow5mult, ensures lazy evaluation of only one copy of high
 150  *      powers of 5; omitting this lock would introduce a small
 151  *      probability of wasting memory, but would otherwise be harmless.)
 152  *      You must also invoke freedtoa(s) to free the value s returned by
 153  *      dtoa.  You may do so whether or not MULTIPLE_THREADS is #defined.
 154  * #define IMPRECISE_INEXACT if you do not care about the setting of
 155  *      the STRTOG_Inexact bits in the special case of doing IEEE double
 156  *      precision conversions (which could also be done by the strtod in
 157  *      dtoa.c).
 158  * #define NO_HEX_FP to disable recognition of C9x's hexadecimal
 159  *      floating-point constants.
 160  * #define -DNO_ERRNO to suppress setting errno (in strtod.c and
 161  *      strtodg.c).
 162  * #define NO_STRING_H to use private versions of memcpy.
 163  *      On some K&R systems, it may also be necessary to
 164  *      #define DECLARE_SIZE_T in this case.
 165  * #define YES_ALIAS to permit aliasing certain double values with
 166  *      arrays of ULongs.  This leads to slightly better code with
 167  *      some compilers and was always used prior to 19990916, but it
 168  *      is not strictly legal and can cause trouble with aggressively
 169  *      optimizing compilers (e.g., gcc 2.95.1 under -O2).
 170  * #define USE_LOCALE to use the current locale's decimal_point value.
 171  */
 172
 173 #ifndef GDTOAIMP_H_INCLUDED
 174 #define GDTOAIMP_H_INCLUDED
 175
 176 #define Long    int
 177
 178 #define USE_LOCALE
 179 #define Honor_FLT_ROUNDS
 180
 181 #include "gdtoa.h"
 182 #include "gd_qnan.h"
 183 #ifdef Honor_FLT_ROUNDS
 184 #include <fenv.h>
 185 #endif
 186
 187 #ifdef DEBUG
 188 #include "stdio.h"
 189 #define Bug(x) {fprintf(stderr, "%s\n", x); exit(1);}
 190 #endif
 191
 192 #include "limits.h"
 193 #include "stdlib.h"
 194 #include "string.h"
 195 #include "libc_private.h"
 196
 197 #include "namespace.h"
 198 #include <pthread.h>
 199 #include "un-namespace.h"
 200
 201 #ifdef KR_headers
 202 #define Char char
 203 #else
 204 #define Char void
 205 #endif
 206
 207 #ifdef MALLOC
 208 extern Char *MALLOC ANSI((size_t));
 209 #else
 210 #define MALLOC malloc
 211 #endif
 212
 213 #undef IEEE_Arith
 214 #undef Avoid_Underflow
 215 #ifdef IEEE_MC68k
 216 #define IEEE_Arith
 217 #endif
 218 #ifdef IEEE_8087
 219 #define IEEE_Arith
 220 #endif
 221
 222 #include "errno.h"
 223 #ifdef Bad_float_h
 224
 225 #ifdef IEEE_Arith
 226 #define DBL_DIG 15
 227 #define DBL_MAX_10_EXP 308
 228 #define DBL_MAX_EXP 1024
 229 #define FLT_RADIX 2
 230 #define DBL_MAX 1.7976931348623157e+308
 231 #endif
 232
 233 #ifdef IBM
 234 #define DBL_DIG 16
 235 #define DBL_MAX_10_EXP 75
 236 #define DBL_MAX_EXP 63
 237 #define FLT_RADIX 16
 238 #define DBL_MAX 7.2370055773322621e+75
 239 #endif
 240
 241 #ifdef VAX
 242 #define DBL_DIG 16
 243 #define DBL_MAX_10_EXP 38
 244 #define DBL_MAX_EXP 127
 245 #define FLT_RADIX 2
 246 #define DBL_MAX 1.7014118346046923e+38
 247 #define n_bigtens 2
 248 #endif
 249
 250 #ifndef LONG_MAX
 251 #define LONG_MAX 2147483647
 252 #endif
 253
 254 #else /* ifndef Bad_float_h */
 255 #include "float.h"
 256 #endif /* Bad_float_h */
 257
 258 #ifdef IEEE_Arith
 259 #define Scale_Bit 0x10
 260 #define n_bigtens 5
 261 #endif
 262
 263 #ifdef IBM
 264 #define n_bigtens 3
 265 #endif
 266
 267 #ifdef VAX
 268 #define n_bigtens 2
 269 #endif
 270
 271 #ifndef __MATH_H__
 272 #include "math.h"
 273 #endif
 274
 275 #ifdef __cplusplus
 276 extern "C" {
 277 #endif
 278
 279 #if defined(IEEE_8087) + defined(IEEE_MC68k) + defined(VAX) + defined(IBM) != 1
 280 Exactly one of IEEE_8087, IEEE_MC68k, VAX, or IBM should be defined.
 281 #endif
 282
 283 typedef union { double d; ULong L[2]; } U;
 284
 285 #ifdef YES_ALIAS
 286 #define dval(x) x
 287 #ifdef IEEE_8087
 288 #define word0(x) ((ULong *)&x)[1]
 289 #define word1(x) ((ULong *)&x)[0]
 290 #else
 291 #define word0(x) ((ULong *)&x)[0]
 292 #define word1(x) ((ULong *)&x)[1]
 293 #endif
 294 #else /* !YES_ALIAS */
 295 #ifdef IEEE_8087
 296 #define word0(x) ((U*)&x)->L[1]
 297 #define word1(x) ((U*)&x)->L[0]
 298 #else
 299 #define word0(x) ((U*)&x)->L[0]
 300 #define word1(x) ((U*)&x)->L[1]
 301 #endif
 302 #define dval(x) ((U*)&x)->d
 303 #endif /* YES_ALIAS */
 304
 305 /* The following definition of Storeinc is appropriate for MIPS processors.
 306  * An alternative that might be better on some machines is
 307  * #define Storeinc(a,b,c) (*a++ = b << 16 | c & 0xffff)
 308  */
 309 #if defined(IEEE_8087) + defined(VAX)
 310 #define Storeinc(a,b,c) (((unsigned short *)a)[1] = (unsigned short)b, \
 311 ((unsigned short *)a)[0] = (unsigned short)c, a++)
 312 #else
 313 #define Storeinc(a,b,c) (((unsigned short *)a)[0] = (unsigned short)b, \
 314 ((unsigned short *)a)[1] = (unsigned short)c, a++)
 315 #endif
 316
 317 /* #define P DBL_MANT_DIG */
 318 /* Ten_pmax = floor(P*log(2)/log(5)) */
 319 /* Bletch = (highest power of 2 < DBL_MAX_10_EXP) / 16 */
 320 /* Quick_max = floor((P-1)*log(FLT_RADIX)/log(10) - 1) */
 321 /* Int_max = floor(P*log(FLT_RADIX)/log(10) - 1) */
 322
 323 #ifdef IEEE_Arith
 324 #define Exp_shift  20
 325 #define Exp_shift1 20
 326 #define Exp_msk1    0x100000
 327 #define Exp_msk11   0x100000
 328 #define Exp_mask  0x7ff00000
 329 #define P 53
 330 #define Bias 1023
 331 #define Emin (-1022)
 332 #define Exp_1  0x3ff00000
 333 #define Exp_11 0x3ff00000
 334 #define Ebits 11
 335 #define Frac_mask  0xfffff
 336 #define Frac_mask1 0xfffff
 337 #define Ten_pmax 22
 338 #define Bletch 0x10
 339 #define Bndry_mask  0xfffff
 340 #define Bndry_mask1 0xfffff
 341 #define LSB 1
 342 #define Sign_bit 0x80000000
 343 #define Log2P 1
 344 #define Tiny0 0
 345 #define Tiny1 1
 346 #define Quick_max 14
 347 #define Int_max 14
 348
 349 #ifndef Flt_Rounds
 350 #ifdef FLT_ROUNDS
 351 #define Flt_Rounds FLT_ROUNDS
 352 #else
 353 #define Flt_Rounds 1
 354 #endif
 355 #endif /*Flt_Rounds*/
 356
 357 #else /* ifndef IEEE_Arith */
 358 #undef  Sudden_Underflow
 359 #define Sudden_Underflow
 360 #ifdef IBM
 361 #undef Flt_Rounds
 362 #define Flt_Rounds 0
 363 #define Exp_shift  24
 364 #define Exp_shift1 24
 365 #define Exp_msk1   0x1000000
 366 #define Exp_msk11  0x1000000
 367 #define Exp_mask  0x7f000000
 368 #define P 14
 369 #define Bias 65
 370 #define Exp_1  0x41000000
 371 #define Exp_11 0x41000000
 372 #define Ebits 8 /* exponent has 7 bits, but 8 is the right value in b2d */
 373 #define Frac_mask  0xffffff
 374 #define Frac_mask1 0xffffff
 375 #define Bletch 4
 376 #define Ten_pmax 22
 377 #define Bndry_mask  0xefffff
 378 #define Bndry_mask1 0xffffff
 379 #define LSB 1
 380 #define Sign_bit 0x80000000
 381 #define Log2P 4
 382 #define Tiny0 0x100000
 383 #define Tiny1 0
 384 #define Quick_max 14
 385 #define Int_max 15
 386 #else /* VAX */
 387 #undef Flt_Rounds
 388 #define Flt_Rounds 1
 389 #define Exp_shift  23
 390 #define Exp_shift1 7
 391 #define Exp_msk1    0x80
 392 #define Exp_msk11   0x800000
 393 #define Exp_mask  0x7f80
 394 #define P 56
 395 #define Bias 129
 396 #define Exp_1  0x40800000
 397 #define Exp_11 0x4080
 398 #define Ebits 8
 399 #define Frac_mask  0x7fffff
 400 #define Frac_mask1 0xffff007f
 401 #define Ten_pmax 24
 402 #define Bletch 2
 403 #define Bndry_mask  0xffff007f
 404 #define Bndry_mask1 0xffff007f
 405 #define LSB 0x10000
 406 #define Sign_bit 0x8000
 407 #define Log2P 1
 408 #define Tiny0 0x80
 409 #define Tiny1 0
 410 #define Quick_max 15
 411 #define Int_max 15
 412 #endif /* IBM, VAX */
 413 #endif /* IEEE_Arith */
 414
 415 #ifndef IEEE_Arith
 416 #define ROUND_BIASED
 417 #endif
 418
 419 #ifdef RND_PRODQUOT
 420 #define rounded_product(a,b) a = rnd_prod(a, b)
 421 #define rounded_quotient(a,b) a = rnd_quot(a, b)
 422 #ifdef KR_headers
 423 extern double rnd_prod(), rnd_quot();
 424 #else
 425 extern double rnd_prod(double, double), rnd_quot(double, double);
 426 #endif
 427 #else
 428 #define rounded_product(a,b) a *= b
 429 #define rounded_quotient(a,b) a /= b
 430 #endif
 431
 432 #define Big0 (Frac_mask1 | Exp_msk1*(DBL_MAX_EXP+Bias-1))
 433 #define Big1 0xffffffff
 434
 435 #undef  Pack_16
 436 #ifndef Pack_32
 437 #define Pack_32
 438 #endif
 439
 440 #ifdef NO_LONG_LONG
 441 #undef ULLong
 442 #ifdef Just_16
 443 #undef Pack_32
 444 #define Pack_16
 445 /* When Pack_32 is not defined, we store 16 bits per 32-bit Long.
 446  * This makes some inner loops simpler and sometimes saves work
 447  * during multiplications, but it often seems to make things slightly
 448  * slower.  Hence the default is now to store 32 bits per Long.
 449  */
 450 #endif
 451 #else   /* long long available */
 452 #ifndef Llong
 453 #define Llong long long
 454 #endif
 455 #ifndef ULLong
 456 #define ULLong unsigned Llong
 457 #endif
 458 #endif /* NO_LONG_LONG */
 459
 460 #ifdef Pack_32
 461 #define ULbits 32
 462 #define kshift 5
 463 #define kmask 31
 464 #define ALL_ON 0xffffffff
 465 #else
 466 #define ULbits 16
 467 #define kshift 4
 468 #define kmask 15
 469 #define ALL_ON 0xffff
 470 #endif
 471
 472 #define MULTIPLE_THREADS
 473 extern pthread_mutex_t __gdtoa_locks[2];
 474 #define ACQUIRE_DTOA_LOCK(n)    do {                            \
 475         if (__isthreaded)                                       \
 476                 _pthread_mutex_lock(&__gdtoa_locks[n]);         \
 477 } while(0)
 478 #define FREE_DTOA_LOCK(n)       do {                            \
 479         if (__isthreaded)                                       \
 480                 _pthread_mutex_unlock(&__gdtoa_locks[n]);       \
 481 } while(0)
 482
 483 #define Kmax (sizeof(size_t) << 3)
 484
 485  struct
 486 Bigint {
 487         struct Bigint *next;
 488         int k, maxwds, sign, wds;
 489         ULong x[1];
 490         };
 491
 492  typedef struct Bigint Bigint;
 493
 494 #ifdef NO_STRING_H
 495 #ifdef DECLARE_SIZE_T
 496 typedef unsigned int size_t;
 497 #endif
 498 extern void memcpy_D2A ANSI((void*, const void*, size_t));
 499 #define Bcopy(x,y) memcpy_D2A(&x->sign,&y->sign,y->wds*sizeof(ULong) + 2*sizeof(int))
 500 #else /* !NO_STRING_H */
 501 #define Bcopy(x,y) memcpy(&x->sign,&y->sign,y->wds*sizeof(ULong) + 2*sizeof(int))
 502 #endif /* NO_STRING_H */
 503
 504 /*
 505  * Paranoia: Protect exported symbols, including ones in files we don't
 506  * compile right now.  The standard strtof and strtod survive.
 507  */
 508 #define dtoa            __dtoa
 509 #define gdtoa           __gdtoa
 510 #define freedtoa        __freedtoa
 511 #define strtodg         __strtodg
 512 #define g_ddfmt         __g_ddfmt
 513 #define g_dfmt          __g_dfmt
 514 #define g_ffmt          __g_ffmt
 515 #define g_Qfmt          __g_Qfmt
 516 #define g_xfmt          __g_xfmt
 517 #define g_xLfmt         __g_xLfmt
 518 #define strtoId         __strtoId
 519 #define strtoIdd        __strtoIdd
 520 #define strtoIf         __strtoIf
 521 #define strtoIQ         __strtoIQ
 522 #define strtoIx         __strtoIx
 523 #define strtoIxL        __strtoIxL
 524 #define strtord         __strtord
 525 #define strtordd        __strtordd
 526 #define strtorf         __strtorf
 527 #define strtorQ         __strtorQ
 528 #define strtorx         __strtorx
 529 #define strtorxL        __strtorxL
 530 #define strtodI         __strtodI
 531 #define strtopd         __strtopd
 532 #define strtopdd        __strtopdd
 533 #define strtopf         __strtopf
 534 #define strtopQ         __strtopQ
 535 #define strtopx         __strtopx
 536 #define strtopxL        __strtopxL
 537
 538 /* Protect gdtoa-internal symbols */
 539 #define Balloc          __Balloc_D2A
 540 #define Bfree           __Bfree_D2A
 541 #define ULtoQ           __ULtoQ_D2A
 542 #define ULtof           __ULtof_D2A
 543 #define ULtod           __ULtod_D2A
 544 #define ULtodd          __ULtodd_D2A
 545 #define ULtox           __ULtox_D2A
 546 #define ULtoxL          __ULtoxL_D2A
 547 #define any_on          __any_on_D2A
 548 #define b2d             __b2d_D2A
 549 #define bigtens         __bigtens_D2A
 550 #define cmp             __cmp_D2A
 551 #define copybits        __copybits_D2A
 552 #define d2b             __d2b_D2A
 553 #define decrement       __decrement_D2A
 554 #define diff            __diff_D2A
 555 #define dtoa_result     __dtoa_result_D2A
 556 #define g__fmt          __g__fmt_D2A
 557 #define gethex          __gethex_D2A
 558 #define hexdig          __hexdig_D2A
 559 #define hexdig_init_D2A __hexdig_init_D2A
 560 #define hexnan          __hexnan_D2A
 561 #define hi0bits(x)      __hi0bits_D2A((ULong)(x))
 562 #define hi0bits_D2A     __hi0bits_D2A
 563 #define i2b             __i2b_D2A
 564 #define increment       __increment_D2A
 565 #define lo0bits         __lo0bits_D2A
 566 #define lshift          __lshift_D2A
 567 #define match           __match_D2A
 568 #define mult            __mult_D2A
 569 #define multadd         __multadd_D2A
 570 #define nrv_alloc       __nrv_alloc_D2A
 571 #define pow5mult        __pow5mult_D2A
 572 #define quorem          __quorem_D2A
 573 #define ratio           __ratio_D2A
 574 #define rshift          __rshift_D2A
 575 #define rv_alloc        __rv_alloc_D2A
 576 #define s2b             __s2b_D2A
 577 #define set_ones        __set_ones_D2A
 578 #define strcp           __strcp_D2A
 579 #define strcp_D2A       __strcp_D2A
 580 #define strtoIg         __strtoIg_D2A
 581 #define sum             __sum_D2A
 582 #define tens            __tens_D2A
 583 #define tinytens        __tinytens_D2A
 584 #define tinytens        __tinytens_D2A
 585 #define trailz          __trailz_D2A
 586 #define ulp             __ulp_D2A
 587
 588  extern char *dtoa_result;
 589  extern CONST double bigtens[], tens[], tinytens[];
 590  extern unsigned char hexdig[];
 591
 592  extern Bigint *Balloc ANSI((int));
 593  extern void Bfree ANSI((Bigint*));
 594  extern void ULtof ANSI((ULong*, ULong*, Long, int));
 595  extern void ULtod ANSI((ULong*, ULong*, Long, int));
 596  extern void ULtodd ANSI((ULong*, ULong*, Long, int));
 597  extern void ULtoQ ANSI((ULong*, ULong*, Long, int));
 598  extern void ULtox ANSI((UShort*, ULong*, Long, int));
 599  extern void ULtoxL ANSI((ULong*, ULong*, Long, int));
 600  extern ULong any_on ANSI((Bigint*, int));
 601  extern double b2d ANSI((Bigint*, int*));
 602  extern int cmp ANSI((Bigint*, Bigint*));
 603  extern void copybits ANSI((ULong*, int, Bigint*));
 604  extern Bigint *d2b ANSI((double, int*, int*));
 605  extern void decrement ANSI((Bigint*));
 606  extern Bigint *diff ANSI((Bigint*, Bigint*));
 607  extern char *dtoa ANSI((double d, int mode, int ndigits,
 608                         int *decpt, int *sign, char **rve));
 609  extern void freedtoa ANSI((char*));
 610  extern char *g__fmt ANSI((char*, char*, char*, int, ULong, size_t));
 611  extern char *gdtoa ANSI((FPI *fpi, int be, ULong *bits, int *kindp,
 612                           int mode, int ndigits, int *decpt, char **rve));
 613  extern int gethex ANSI((CONST char**, FPI*, Long*, Bigint**, int));
 614  extern void hexdig_init_D2A(Void);
 615  extern int hexnan ANSI((CONST char**, FPI*, ULong*));
 616  extern int hi0bits_D2A ANSI((ULong));
 617  extern Bigint *i2b ANSI((int));
 618  extern Bigint *increment ANSI((Bigint*));
 619  extern int lo0bits ANSI((ULong*));
 620  extern Bigint *lshift ANSI((Bigint*, int));
 621  extern int match ANSI((CONST char**, char*));
 622  extern Bigint *mult ANSI((Bigint*, Bigint*));
 623  extern Bigint *multadd ANSI((Bigint*, int, int));
 624  extern char *nrv_alloc ANSI((char*, char **, int));
 625  extern Bigint *pow5mult ANSI((Bigint*, int));
 626  extern int quorem ANSI((Bigint*, Bigint*));
 627  extern double ratio ANSI((Bigint*, Bigint*));
 628  extern void rshift ANSI((Bigint*, int));
 629  extern char *rv_alloc ANSI((int));
 630  extern Bigint *s2b ANSI((CONST char*, int, int, ULong, int));
 631  extern Bigint *set_ones ANSI((Bigint*, int));
 632  extern char *strcp ANSI((char*, const char*));
 633  extern int strtodg ANSI((CONST char*, char**, FPI*, Long*, ULong*));
 634
 635  extern int strtoId ANSI((CONST char *, char **, double *, double *));
 636  extern int strtoIdd ANSI((CONST char *, char **, double *, double *));
 637  extern int strtoIf ANSI((CONST char *, char **, float *, float *));
 638  extern int strtoIg ANSI((CONST char*, char**, FPI*, Long*, Bigint**, int*));
 639  extern int strtoIQ ANSI((CONST char *, char **, void *, void *));
 640  extern int strtoIx ANSI((CONST char *, char **, void *, void *));
 641  extern int strtoIxL ANSI((CONST char *, char **, void *, void *));
 642  extern double strtod ANSI((const char *s00, char **se));
 643  extern int strtopQ ANSI((CONST char *, char **, Void *));
 644  extern int strtopf ANSI((CONST char *, char **, float *));
 645  extern int strtopd ANSI((CONST char *, char **, double *));
 646  extern int strtopdd ANSI((CONST char *, char **, double *));
 647  extern int strtopx ANSI((CONST char *, char **, Void *));
 648  extern int strtopxL ANSI((CONST char *, char **, Void *));
 649  extern int strtord ANSI((CONST char *, char **, int, double *));
 650  extern int strtordd ANSI((CONST char *, char **, int, double *));
 651  extern int strtorf ANSI((CONST char *, char **, int, float *));
 652  extern int strtorQ ANSI((CONST char *, char **, int, void *));
 653  extern int strtorx ANSI((CONST char *, char **, int, void *));
 654  extern int strtorxL ANSI((CONST char *, char **, int, void *));
 655  extern Bigint *sum ANSI((Bigint*, Bigint*));
 656  extern int trailz ANSI((Bigint*));
 657  extern double ulp ANSI((double));
 658
 659 #ifdef __cplusplus
 660 }
 661 #endif
 662 /*
 663  * NAN_WORD0 and NAN_WORD1 are only referenced in strtod.c.  Prior to
 664  * 20050115, they used to be hard-wired here (to 0x7ff80000 and 0,
 665  * respectively), but now are determined by compiling and running
 666  * qnan.c to generate gd_qnan.h, which specifies d_QNAN0 and d_QNAN1.
 667  * Formerly gdtoaimp.h recommended supplying suitable -DNAN_WORD0=...
 668  * and -DNAN_WORD1=...  values if necessary.  This should still work.
 669  * (On HP Series 700/800 machines, -DNAN_WORD0=0x7ff40000 works.)
 670  */
 671 #ifdef IEEE_Arith
 672 #ifndef NO_INFNAN_CHECK
 673 #undef INFNAN_CHECK
 674 #define INFNAN_CHECK
 675 #endif
 676 #ifdef IEEE_MC68k
 677 #define _0 0
 678 #define _1 1
 679 #ifndef NAN_WORD0
 680 #define NAN_WORD0 d_QNAN0
 681 #endif
 682 #ifndef NAN_WORD1
 683 #define NAN_WORD1 d_QNAN1
 684 #endif
 685 #else
 686 #define _0 1
 687 #define _1 0
 688 #ifndef NAN_WORD0
 689 #define NAN_WORD0 d_QNAN1
 690 #endif
 691 #ifndef NAN_WORD1
 692 #define NAN_WORD1 d_QNAN0
 693 #endif
 694 #endif
 695 #else
 696 #undef INFNAN_CHECK
 697 #endif
 698
 699 #undef SI
 700 #ifdef Sudden_Underflow
 701 #define SI 1
 702 #else
 703 #define SI 0
 704 #endif
 705
 706 #endif /* GDTOAIMP_H_INCLUDED */