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