gdtoa/FreeBSD/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 (optionally
 134  *      preceded by 0x or 0X) and spaces; if there is only one string
 135  *      of hexadecimal digits, it is taken for the fraction bits of the
 136  *      resulting NaN; if there are two or more strings of hexadecimal
 137  *      digits, each string is assigned to the next available sequence
 138  *      of 32-bit words of fractions bits (starting with the most
 139  *      significant), right-aligned in each sequence.
 140  *      Unless GDTOA_NON_PEDANTIC_NANCHECK is #defined, input "NaN(...)"
 141  *      is consumed even when ... has the wrong form (in which case the
 142  *      "(...)" is consumed but ignored).
 143  * #define MULTIPLE_THREADS if the system offers preemptively scheduled
 144  *      multiple threads.  In this case, you must provide (or suitably
 145  *      #define) two locks, acquired by ACQUIRE_DTOA_LOCK(n) and freed
 146  *      by FREE_DTOA_LOCK(n) for n = 0 or 1.  (The second lock, accessed
 147  *      in pow5mult, ensures lazy evaluation of only one copy of high
 148  *      powers of 5; omitting this lock would introduce a small
 149  *      probability of wasting memory, but would otherwise be harmless.)
 150  *      You must also invoke freedtoa(s) to free the value s returned by
 151  *      dtoa.  You may do so whether or not MULTIPLE_THREADS is #defined.
 152  * #define IMPRECISE_INEXACT if you do not care about the setting of
 153  *      the STRTOG_Inexact bits in the special case of doing IEEE double
 154  *      precision conversions (which could also be done by the strtod in
 155  *      dtoa.c).
 156  * #define NO_HEX_FP to disable recognition of C9x's hexadecimal
 157  *      floating-point constants.
 158  * #define -DNO_ERRNO to suppress setting errno (in strtod.c and
 159  *      strtodg.c).
 160  * #define NO_STRING_H to use private versions of memcpy.
 161  *      On some K&R systems, it may also be necessary to
 162  *      #define DECLARE_SIZE_T in this case.
 163  * #define YES_ALIAS to permit aliasing certain double values with
 164  *      arrays of ULongs.  This leads to slightly better code with
 165  *      some compilers and was always used prior to 19990916, but it
 166  *      is not strictly legal and can cause trouble with aggressively
 167  *      optimizing compilers (e.g., gcc 2.95.1 under -O2).
 168  * #define USE_LOCALE to use the current locale's decimal_point value.
 169  */
 170
 171 #ifndef GDTOAIMP_H_INCLUDED
 172 #define GDTOAIMP_H_INCLUDED
 173 #include "gdtoa.h"
 174 #include "gd_qnan.h"
 175 #ifdef Honor_FLT_ROUNDS
 176 #include <fenv.h>
 177 #endif
 178
 179 #ifdef DEBUG
 180 #include "stdio.h"
 181 #define Bug(x) {fprintf(stderr, "%s\n", x); exit(1);}
 182 #endif
 183
 184 #include "stdlib.h"
 185 #include "string.h"
 186
 187 #ifdef KR_headers
 188 #define Char char
 189 #else
 190 #define Char void
 191 #endif
 192
 193 #ifdef MALLOC
 194 extern Char *MALLOC ANSI((size_t));
 195 #else
 196 #define MALLOC malloc
 197 #endif
 198
 199 #undef IEEE_Arith
 200 #undef Avoid_Underflow
 201 #ifdef IEEE_MC68k
 202 #define IEEE_Arith
 203 #endif
 204 #ifdef IEEE_8087
 205 #define IEEE_Arith
 206 #endif
 207
 208 #include "errno.h"
 209 #ifdef Bad_float_h
 210
 211 #ifdef IEEE_Arith
 212 #define DBL_DIG 15
 213 #define DBL_MAX_10_EXP 308
 214 #define DBL_MAX_EXP 1024
 215 #define FLT_RADIX 2
 216 #define DBL_MAX 1.7976931348623157e+308
 217 #endif
 218
 219 #ifdef IBM
 220 #define DBL_DIG 16
 221 #define DBL_MAX_10_EXP 75
 222 #define DBL_MAX_EXP 63
 223 #define FLT_RADIX 16
 224 #define DBL_MAX 7.2370055773322621e+75
 225 #endif
 226
 227 #ifdef VAX
 228 #define DBL_DIG 16
 229 #define DBL_MAX_10_EXP 38
 230 #define DBL_MAX_EXP 127
 231 #define FLT_RADIX 2
 232 #define DBL_MAX 1.7014118346046923e+38
 233 #define n_bigtens 2
 234 #endif
 235
 236 #ifndef LONG_MAX
 237 #define LONG_MAX 2147483647
 238 #endif
 239
 240 #else /* ifndef Bad_float_h */
 241 #include "float.h"
 242 #endif /* Bad_float_h */
 243
 244 #ifdef IEEE_Arith
 245 #define Scale_Bit 0x10
 246 #define n_bigtens 5
 247 #endif
 248
 249 #ifdef IBM
 250 #define n_bigtens 3
 251 #endif
 252
 253 #ifdef VAX
 254 #define n_bigtens 2
 255 #endif
 256
 257 #ifndef __MATH_H__
 258 #include "math.h"
 259 #endif
 260
 261 #ifdef __cplusplus
 262 extern "C" {
 263 #endif
 264
 265 #if defined(IEEE_8087) + defined(IEEE_MC68k) + defined(VAX) + defined(IBM) != 1
 266 Exactly one of IEEE_8087, IEEE_MC68k, VAX, or IBM should be defined.
 267 #endif
 268
 269 typedef union { double d; ULong L[2]; } U;
 270
 271 #ifdef YES_ALIAS
 272 #define dval(x) x
 273 #ifdef IEEE_8087
 274 #define word0(x) ((ULong *)&x)[1]
 275 #define word1(x) ((ULong *)&x)[0]
 276 #else
 277 #define word0(x) ((ULong *)&x)[0]
 278 #define word1(x) ((ULong *)&x)[1]
 279 #endif
 280 #else /* !YES_ALIAS */
 281 #ifdef IEEE_8087
 282 #define word0(x) ((U*)&x)->L[1]
 283 #define word1(x) ((U*)&x)->L[0]
 284 #else
 285 #define word0(x) ((U*)&x)->L[0]
 286 #define word1(x) ((U*)&x)->L[1]
 287 #endif
 288 #define dval(x) ((U*)&x)->d
 289 #endif /* YES_ALIAS */
 290
 291 /* The following definition of Storeinc is appropriate for MIPS processors.
 292  * An alternative that might be better on some machines is
 293  * #define Storeinc(a,b,c) (*a++ = b << 16 | c & 0xffff)
 294  */
 295 #if defined(IEEE_8087) + defined(VAX)
 296 #define Storeinc(a,b,c) (((unsigned short *)a)[1] = (unsigned short)b, \
 297 ((unsigned short *)a)[0] = (unsigned short)c, a++)
 298 #else
 299 #define Storeinc(a,b,c) (((unsigned short *)a)[0] = (unsigned short)b, \
 300 ((unsigned short *)a)[1] = (unsigned short)c, a++)
 301 #endif
 302
 303 /* #define P DBL_MANT_DIG */
 304 /* Ten_pmax = floor(P*log(2)/log(5)) */
 305 /* Bletch = (highest power of 2 < DBL_MAX_10_EXP) / 16 */
 306 /* Quick_max = floor((P-1)*log(FLT_RADIX)/log(10) - 1) */
 307 /* Int_max = floor(P*log(FLT_RADIX)/log(10) - 1) */
 308
 309 #ifdef IEEE_Arith
 310 #define Exp_shift  20
 311 #define Exp_shift1 20
 312 #define Exp_msk1    0x100000
 313 #define Exp_msk11   0x100000
 314 #define Exp_mask  0x7ff00000
 315 #define P 53
 316 #define Bias 1023
 317 #define Emin (-1022)
 318 #define Exp_1  0x3ff00000
 319 #define Exp_11 0x3ff00000
 320 #define Ebits 11
 321 #define Frac_mask  0xfffff
 322 #define Frac_mask1 0xfffff
 323 #define Ten_pmax 22
 324 #define Bletch 0x10
 325 #define Bndry_mask  0xfffff
 326 #define Bndry_mask1 0xfffff
 327 #define LSB 1
 328 #define Sign_bit 0x80000000
 329 #define Log2P 1
 330 #define Tiny0 0
 331 #define Tiny1 1
 332 #define Quick_max 14
 333 #define Int_max 14
 334
 335 #ifndef Flt_Rounds
 336 #ifdef FLT_ROUNDS
 337 #define Flt_Rounds FLT_ROUNDS
 338 #else
 339 #define Flt_Rounds 1
 340 #endif
 341 #endif /*Flt_Rounds*/
 342
 343 #else /* ifndef IEEE_Arith */
 344 #undef  Sudden_Underflow
 345 #define Sudden_Underflow
 346 #ifdef IBM
 347 #undef Flt_Rounds
 348 #define Flt_Rounds 0
 349 #define Exp_shift  24
 350 #define Exp_shift1 24
 351 #define Exp_msk1   0x1000000
 352 #define Exp_msk11  0x1000000
 353 #define Exp_mask  0x7f000000
 354 #define P 14
 355 #define Bias 65
 356 #define Exp_1  0x41000000
 357 #define Exp_11 0x41000000
 358 #define Ebits 8 /* exponent has 7 bits, but 8 is the right value in b2d */
 359 #define Frac_mask  0xffffff
 360 #define Frac_mask1 0xffffff
 361 #define Bletch 4
 362 #define Ten_pmax 22
 363 #define Bndry_mask  0xefffff
 364 #define Bndry_mask1 0xffffff
 365 #define LSB 1
 366 #define Sign_bit 0x80000000
 367 #define Log2P 4
 368 #define Tiny0 0x100000
 369 #define Tiny1 0
 370 #define Quick_max 14
 371 #define Int_max 15
 372 #else /* VAX */
 373 #undef Flt_Rounds
 374 #define Flt_Rounds 1
 375 #define Exp_shift  23
 376 #define Exp_shift1 7
 377 #define Exp_msk1    0x80
 378 #define Exp_msk11   0x800000
 379 #define Exp_mask  0x7f80
 380 #define P 56
 381 #define Bias 129
 382 #define Exp_1  0x40800000
 383 #define Exp_11 0x4080
 384 #define Ebits 8
 385 #define Frac_mask  0x7fffff
 386 #define Frac_mask1 0xffff007f
 387 #define Ten_pmax 24
 388 #define Bletch 2
 389 #define Bndry_mask  0xffff007f
 390 #define Bndry_mask1 0xffff007f
 391 #define LSB 0x10000
 392 #define Sign_bit 0x8000
 393 #define Log2P 1
 394 #define Tiny0 0x80
 395 #define Tiny1 0
 396 #define Quick_max 15
 397 #define Int_max 15
 398 #endif /* IBM, VAX */
 399 #endif /* IEEE_Arith */
 400
 401 #ifndef IEEE_Arith
 402 #define ROUND_BIASED
 403 #endif
 404
 405 #ifdef RND_PRODQUOT
 406 #define rounded_product(a,b) a = rnd_prod(a, b)
 407 #define rounded_quotient(a,b) a = rnd_quot(a, b)
 408 #ifdef KR_headers
 409 extern double rnd_prod(), rnd_quot();
 410 #else
 411 extern double rnd_prod(double, double), rnd_quot(double, double);
 412 #endif
 413 #else
 414 #define rounded_product(a,b) a *= b
 415 #define rounded_quotient(a,b) a /= b
 416 #endif
 417
 418 #define Big0 (Frac_mask1 | Exp_msk1*(DBL_MAX_EXP+Bias-1))
 419 #define Big1 0xffffffff
 420
 421 #undef  Pack_16
 422 #ifndef Pack_32
 423 #define Pack_32
 424 #endif
 425
 426 #ifdef NO_LONG_LONG
 427 #undef ULLong
 428 #ifdef Just_16
 429 #undef Pack_32
 430 #define Pack_16
 431 /* When Pack_32 is not defined, we store 16 bits per 32-bit Long.
 432  * This makes some inner loops simpler and sometimes saves work
 433  * during multiplications, but it often seems to make things slightly
 434  * slower.  Hence the default is now to store 32 bits per Long.
 435  */
 436 #endif
 437 #else   /* long long available */
 438 #ifndef Llong
 439 #define Llong long long
 440 #endif
 441 #ifndef ULLong
 442 #define ULLong unsigned Llong
 443 #endif
 444 #endif /* NO_LONG_LONG */
 445
 446 #ifdef Pack_32
 447 #define ULbits 32
 448 #define kshift 5
 449 #define kmask 31
 450 #define ALL_ON 0xffffffff
 451 #else
 452 #define ULbits 16
 453 #define kshift 4
 454 #define kmask 15
 455 #define ALL_ON 0xffff
 456 #endif
 457
 458 #ifndef MULTIPLE_THREADS
 459 #define ACQUIRE_DTOA_LOCK(n)    /*nothing*/
 460 #define FREE_DTOA_LOCK(n)       /*nothing*/
 461 #endif
 462
 463 #define Kmax 15
 464
 465  struct
 466 Bigint {
 467         struct Bigint *next;
 468         int k, maxwds, sign, wds;
 469         ULong x[1];
 470         };
 471
 472  typedef struct Bigint Bigint;
 473
 474 #ifdef NO_STRING_H
 475 #ifdef DECLARE_SIZE_T
 476 typedef unsigned int size_t;
 477 #endif
 478 extern void memcpy_D2A ANSI((void*, const void*, size_t));
 479 #define Bcopy(x,y) memcpy_D2A(&x->sign,&y->sign,y->wds*sizeof(ULong) + 2*sizeof(int))
 480 #else /* !NO_STRING_H */
 481 #define Bcopy(x,y) memcpy(&x->sign,&y->sign,y->wds*sizeof(ULong) + 2*sizeof(int))
 482 #endif /* NO_STRING_H */
 483
 484 #define Balloc Balloc_D2A
 485 #define Bfree Bfree_D2A
 486 #define ULtoQ ULtoQ_D2A
 487 #define ULtof ULtof_D2A
 488 #define ULtod ULtod_D2A
 489 #define ULtodd ULtodd_D2A
 490 #define ULtox ULtox_D2A
 491 #define ULtoxL ULtoxL_D2A
 492 #define any_on any_on_D2A
 493 #define b2d b2d_D2A
 494 #define bigtens bigtens_D2A
 495 #define cmp cmp_D2A
 496 #define copybits copybits_D2A
 497 #define d2b d2b_D2A
 498 #define decrement decrement_D2A
 499 #define diff diff_D2A
 500 #define dtoa_result dtoa_result_D2A
 501 #define g__fmt g__fmt_D2A
 502 #define gethex gethex_D2A
 503 #define hexdig hexdig_D2A
 504 #define hexnan hexnan_D2A
 505 #define hi0bits(x) hi0bits_D2A((ULong)(x))
 506 #define i2b i2b_D2A
 507 #define increment increment_D2A
 508 #define lo0bits lo0bits_D2A
 509 #define lshift lshift_D2A
 510 #define match match_D2A
 511 #define mult mult_D2A
 512 #define multadd multadd_D2A
 513 #define nrv_alloc nrv_alloc_D2A
 514 #define pow5mult pow5mult_D2A
 515 #define quorem quorem_D2A
 516 #define ratio ratio_D2A
 517 #define rshift rshift_D2A
 518 #define rv_alloc rv_alloc_D2A
 519 #define s2b s2b_D2A
 520 #define set_ones set_ones_D2A
 521 #define strcp strcp_D2A
 522 #define strtoIg strtoIg_D2A
 523 #define sum sum_D2A
 524 #define tens tens_D2A
 525 #define tinytens tinytens_D2A
 526 #define tinytens tinytens_D2A
 527 #define trailz trailz_D2A
 528 #define ulp ulp_D2A
 529
 530  extern char *dtoa_result;
 531  extern CONST double bigtens[], tens[], tinytens[];
 532  extern unsigned char hexdig[];
 533
 534  extern Bigint *Balloc ANSI((int));
 535  extern void Bfree ANSI((Bigint*));
 536  extern void ULtof ANSI((ULong*, ULong*, Long, int));
 537  extern void ULtod ANSI((ULong*, ULong*, Long, int));
 538  extern void ULtodd ANSI((ULong*, ULong*, Long, int));
 539  extern void ULtoQ ANSI((ULong*, ULong*, Long, int));
 540  extern void ULtox ANSI((UShort*, ULong*, Long, int));
 541  extern void ULtoxL ANSI((ULong*, ULong*, Long, int));
 542  extern ULong any_on ANSI((Bigint*, int));
 543  extern double b2d ANSI((Bigint*, int*));
 544  extern int cmp ANSI((Bigint*, Bigint*));
 545  extern void copybits ANSI((ULong*, int, Bigint*));
 546  extern Bigint *d2b ANSI((double, int*, int*));
 547  extern void decrement ANSI((Bigint*));
 548  extern Bigint *diff ANSI((Bigint*, Bigint*));
 549  extern char *dtoa ANSI((double d, int mode, int ndigits,
 550                         int *decpt, int *sign, char **rve));
 551  extern char *g__fmt ANSI((char*, char*, char*, int, ULong, size_t));
 552  extern int gethex ANSI((CONST char**, FPI*, Long*, Bigint**, int));
 553  extern void hexdig_init_D2A(Void);
 554  extern int hexnan ANSI((CONST char**, FPI*, ULong*));
 555  extern int hi0bits_D2A ANSI((ULong));
 556  extern Bigint *i2b ANSI((int));
 557  extern Bigint *increment ANSI((Bigint*));
 558  extern int lo0bits ANSI((ULong*));
 559  extern Bigint *lshift ANSI((Bigint*, int));
 560  extern int match ANSI((CONST char**, char*));
 561  extern Bigint *mult ANSI((Bigint*, Bigint*));
 562  extern Bigint *multadd ANSI((Bigint*, int, int));
 563  extern char *nrv_alloc ANSI((char*, char **, int));
 564  extern Bigint *pow5mult ANSI((Bigint*, int));
 565  extern int quorem ANSI((Bigint*, Bigint*));
 566  extern double ratio ANSI((Bigint*, Bigint*));
 567  extern void rshift ANSI((Bigint*, int));
 568  extern char *rv_alloc ANSI((int));
 569  extern Bigint *s2b ANSI((CONST char*, int, int, ULong));
 570  extern Bigint *set_ones ANSI((Bigint*, int));
 571  extern char *strcp ANSI((char*, const char*));
 572  extern int strtoIg ANSI((CONST char*, char**, FPI*, Long*, Bigint**, int*));
 573  extern double strtod ANSI((const char *s00, char **se));
 574  extern Bigint *sum ANSI((Bigint*, Bigint*));
 575  extern int trailz ANSI((Bigint*));
 576  extern double ulp ANSI((double));
 577
 578 #ifdef __cplusplus
 579 }
 580 #endif
 581 /*
 582  * NAN_WORD0 and NAN_WORD1 are only referenced in strtod.c.  Prior to
 583  * 20050115, they used to be hard-wired here (to 0x7ff80000 and 0,
 584  * respectively), but now are determined by compiling and running
 585  * qnan.c to generate gd_qnan.h, which specifies d_QNAN0 and d_QNAN1.
 586  * Formerly gdtoaimp.h recommended supplying suitable -DNAN_WORD0=...
 587  * and -DNAN_WORD1=...  values if necessary.  This should still work.
 588  * (On HP Series 700/800 machines, -DNAN_WORD0=0x7ff40000 works.)
 589  */
 590 #ifdef IEEE_Arith
 591 #ifdef IEEE_MC68k
 592 #define _0 0
 593 #define _1 1
 594 #ifndef NAN_WORD0
 595 #define NAN_WORD0 d_QNAN0
 596 #endif
 597 #ifndef NAN_WORD1
 598 #define NAN_WORD1 d_QNAN1
 599 #endif
 600 #else
 601 #define _0 1
 602 #define _1 0
 603 #ifndef NAN_WORD0
 604 #define NAN_WORD0 d_QNAN1
 605 #endif
 606 #ifndef NAN_WORD1
 607 #define NAN_WORD1 d_QNAN0
 608 #endif
 609 #endif
 610 #else
 611 #undef INFNAN_CHECK
 612 #endif
 613
 614 #undef SI
 615 #ifdef Sudden_Underflow
 616 #define SI 1
 617 #else
 618 #define SI 0
 619 #endif
 620
 621 #endif /* GDTOAIMP_H_INCLUDED */