lib/libc/gdtoa/gdtoaimp.h

   1 /* $NetBSD: gdtoaimp.h,v 1.6 2007/02/03 16:44:02 christos Exp $ */
   2
   3 /****************************************************************
   4
   5 The author of this software is David M. Gay.
   6
   7 Copyright (C) 1998-2000 by Lucent Technologies
   8 All Rights Reserved
   9
  10 Permission to use, copy, modify, and distribute this software and
  11 its documentation for any purpose and without fee is hereby
  12 granted, provided that the above copyright notice appear in all
  13 copies and that both that the copyright notice and this
  14 permission notice and warranty disclaimer appear in supporting
  15 documentation, and that the name of Lucent or any of its entities
  16 not be used in advertising or publicity pertaining to
  17 distribution of the software without specific, written prior
  18 permission.
  19
  20 LUCENT DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE,
  21 INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS.
  22 IN NO EVENT SHALL LUCENT OR ANY OF ITS ENTITIES BE LIABLE FOR ANY
  23 SPECIAL, INDIRECT OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
  24 WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER
  25 IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION,
  26 ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF
  27 THIS SOFTWARE.
  28
  29 ****************************************************************/
  30
  31 /* This is a variation on dtoa.c that converts arbitary binary
  32    floating-point formats to and from decimal notation.  It uses
  33    double-precision arithmetic internally, so there are still
  34    various #ifdefs that adapt the calculations to the native
  35    double-precision arithmetic (any of IEEE, VAX D_floating,
  36    or IBM mainframe arithmetic).
  37
  38    Please send bug reports to David M. Gay (dmg at acm dot org,
  39    with " at " changed at "@" and " dot " changed to ".").
  40  */
  41
  42 /* On a machine with IEEE extended-precision registers, it is
  43  * necessary to specify double-precision (53-bit) rounding precision
  44  * before invoking strtod or dtoa.  If the machine uses (the equivalent
  45  * of) Intel 80x87 arithmetic, the call
  46  *      _control87(PC_53, MCW_PC);
  47  * does this with many compilers.  Whether this or another call is
  48  * appropriate depends on the compiler; for this to work, it may be
  49  * necessary to #include "float.h" or another system-dependent header
  50  * file.
  51  */
  52
  53 /* strtod for IEEE-, VAX-, and IBM-arithmetic machines.
  54  *
  55  * This strtod returns a nearest machine number to the input decimal
  56  * string (or sets errno to ERANGE).  With IEEE arithmetic, ties are
  57  * broken by the IEEE round-even rule.  Otherwise ties are broken by
  58  * biased rounding (add half and chop).
  59  *
  60  * Inspired loosely by William D. Clinger's paper "How to Read Floating
  61  * Point Numbers Accurately" [Proc. ACM SIGPLAN '90, pp. 112-126].
  62  *
  63  * Modifications:
  64  *
  65  *      1. We only require IEEE, IBM, or VAX double-precision
  66  *              arithmetic (not IEEE double-extended).
  67  *      2. We get by with floating-point arithmetic in a case that
  68  *              Clinger missed -- when we're computing d * 10^n
  69  *              for a small integer d and the integer n is not too
  70  *              much larger than 22 (the maximum integer k for which
  71  *              we can represent 10^k exactly), we may be able to
  72  *              compute (d*10^k) * 10^(e-k) with just one roundoff.
  73  *      3. Rather than a bit-at-a-time adjustment of the binary
  74  *              result in the hard case, we use floating-point
  75  *              arithmetic to determine the adjustment to within
  76  *              one bit; only in really hard cases do we need to
  77  *              compute a second residual.
  78  *      4. Because of 3., we don't need a large table of powers of 10
  79  *              for ten-to-e (just some small tables, e.g. of 10^k
  80  *              for 0 <= k <= 22).
  81  */
  82
  83 /*
  84  * #define IEEE_LITTLE_ENDIAN for IEEE-arithmetic machines where the least
  85  *      significant byte has the lowest address.
  86  * #define IEEE_BIG_ENDIAN for IEEE-arithmetic machines where the most
  87  *      significant byte has the lowest address.
  88  * #define Long int on machines with 32-bit ints and 64-bit longs.
  89  * #define Sudden_Underflow for IEEE-format machines without gradual
  90  *      underflow (i.e., that flush to zero on underflow).
  91  * #define IBM for IBM mainframe-style floating-point arithmetic.
  92  * #define VAX for VAX-style floating-point arithmetic (D_floating).
  93  * #define No_leftright to omit left-right logic in fast floating-point
  94  *      computation of dtoa.
  95  * #define Check_FLT_ROUNDS if FLT_ROUNDS can assume the values 2 or 3.
  96  * #define RND_PRODQUOT to use rnd_prod and rnd_quot (assembly routines
  97  *      that use extended-precision instructions to compute rounded
  98  *      products and quotients) with IBM.
  99  * #define ROUND_BIASED for IEEE-format with biased rounding.
 100  * #define Inaccurate_Divide for IEEE-format with correctly rounded
 101  *      products but inaccurate quotients, e.g., for Intel i860.
 102  * #define NO_LONG_LONG on machines that do not have a "long long"
 103  *      integer type (of >= 64 bits).  On such machines, you can
 104  *      #define Just_16 to store 16 bits per 32-bit Long when doing
 105  *      high-precision integer arithmetic.  Whether this speeds things
 106  *      up or slows things down depends on the machine and the number
 107  *      being converted.  If long long is available and the name is
 108  *      something other than "long long", #define Llong to be the name,
 109  *      and if "unsigned Llong" does not work as an unsigned version of
 110  *      Llong, #define #ULLong to be the corresponding unsigned type.
 111  * #define KR_headers for old-style C function headers.
 112  * #define Bad_float_h if your system lacks a float.h or if it does not
 113  *      define some or all of DBL_DIG, DBL_MAX_10_EXP, DBL_MAX_EXP,
 114  *      FLT_RADIX, FLT_ROUNDS, and DBL_MAX.
 115  * #define MALLOC your_malloc, where your_malloc(n) acts like malloc(n)
 116  *      if memory is available and otherwise does something you deem
 117  *      appropriate.  If MALLOC is undefined, malloc will be invoked
 118  *      directly -- and assumed always to succeed.
 119  * #define Omit_Private_Memory to omit logic (added Jan. 1998) for making
 120  *      memory allocations from a private pool of memory when possible.
 121  *      When used, the private pool is PRIVATE_MEM bytes long:  2304 bytes,
 122  *      unless #defined to be a different length.  This default length
 123  *      suffices to get rid of MALLOC calls except for unusual cases,
 124  *      such as decimal-to-binary conversion of a very long string of
 125  *      digits.  When converting IEEE double precision values, the
 126  *      longest string gdtoa can return is about 751 bytes long.  For
 127  *      conversions by strtod of strings of 800 digits and all gdtoa
 128  *      conversions of IEEE doubles in single-threaded executions with
 129  *      8-byte pointers, PRIVATE_MEM >= 7400 appears to suffice; with
 130  *      4-byte pointers, PRIVATE_MEM >= 7112 appears adequate.
 131  * #define INFNAN_CHECK on IEEE systems to cause strtod to check for
 132  *      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 and spaces;
 136  *      if there is only one string of hexadecimal digits, it is taken
 137  *      for the fraction bits of the resulting NaN; if there are two or
 138  *      more strings of hexadecimal digits, each string is assigned
 139  *      to the next available sequence of 32-bit words of fractions
 140  *      bits (starting with the most significant), right-aligned in
 141  *      each sequence.
 142  * #define MULTIPLE_THREADS if the system offers preemptively scheduled
 143  *      multiple threads.  In this case, you must provide (or suitably
 144  *      #define) two locks, acquired by ACQUIRE_DTOA_LOCK(n) and freed
 145  *      by FREE_DTOA_LOCK(n) for n = 0 or 1.  (The second lock, accessed
 146  *      in pow5mult, ensures lazy evaluation of only one copy of high
 147  *      powers of 5; omitting this lock would introduce a small
 148  *      probability of wasting memory, but would otherwise be harmless.)
 149  *      You must also invoke freedtoa(s) to free the value s returned by
 150  *      dtoa.  You may do so whether or not MULTIPLE_THREADS is #defined.
 151  * #define IMPRECISE_INEXACT if you do not care about the setting of
 152  *      the STRTOG_Inexact bits in the special case of doing IEEE double
 153  *      precision conversions (which could also be done by the strtog in
 154  *      dtoa.c).
 155  * #define NO_HEX_FP to disable recognition of C9x's hexadecimal
 156  *      floating-point constants.
 157  * #define -DNO_ERRNO to suppress setting errno (in strtod.c and
 158  *      strtodg.c).
 159  * #define NO_STRING_H to use private versions of memcpy.
 160  *      On some K&R systems, it may also be necessary to
 161  *      #define DECLARE_SIZE_T in this case.
 162  * #define YES_ALIAS to permit aliasing certain double values with
 163  *      arrays of ULongs.  This leads to slightly better code with
 164  *      some compilers and was always used prior to 19990916, but it
 165  *      is not strictly legal and can cause trouble with aggressively
 166  *      optimizing compilers (e.g., gcc 2.95.1 under -O2).
 167  * #define USE_LOCALE to use the current locale's decimal_point value.
 168  */
 169
 170 /* #define IEEE_{BIG,LITTLE}_ENDIAN in ${ARCHDIR}/gdtoa/arith.h */
 171
 172 #include <stdint.h>
 173 #define Short   int16_t
 174 #define UShort uint16_t
 175 #define Long    int32_t
 176 #define ULong  uint32_t
 177 #define LLong   int64_t
 178 #define ULLong uint64_t
 179
 180 #define INFNAN_CHECK
 181 #ifdef _REENTRANT
 182 #define MULTIPLE_THREADS
 183 #endif
 184 #define USE_LOCALE
 185
 186 #ifndef GDTOAIMP_H_INCLUDED
 187 #define GDTOAIMP_H_INCLUDED
 188 #include "gdtoa.h"
 189 #include "gd_qnan.h"
 190
 191 #ifdef DEBUG
 192 #include "stdio.h"
 193 #define Bug(x) {fprintf(stderr, "%s\n", x); exit(1);}
 194 #endif
 195
 196 #include "stdlib.h"
 197 #include "string.h"
 198
 199 #ifdef KR_headers
 200 #define Char char
 201 #else
 202 #define Char void
 203 #endif
 204
 205 #ifdef MALLOC
 206 extern Char *MALLOC ANSI((size_t));
 207 #else
 208 #define MALLOC malloc
 209 #endif
 210
 211 #undef IEEE_Arith
 212 #undef Avoid_Underflow
 213 #ifdef IEEE_BIG_ENDIAN
 214 #define IEEE_Arith
 215 #endif
 216 #ifdef IEEE_LITTLE_ENDIAN
 217 #define IEEE_Arith
 218 #endif
 219
 220 #include "errno.h"
 221 #ifdef Bad_float_h
 222
 223 #ifdef IEEE_Arith
 224 #define DBL_DIG 15
 225 #define DBL_MAX_10_EXP 308
 226 #define DBL_MAX_EXP 1024
 227 #define FLT_RADIX 2
 228 #define DBL_MAX 1.7976931348623157e+308
 229 #endif
 230
 231 #ifdef IBM
 232 #define DBL_DIG 16
 233 #define DBL_MAX_10_EXP 75
 234 #define DBL_MAX_EXP 63
 235 #define FLT_RADIX 16
 236 #define DBL_MAX 7.2370055773322621e+75
 237 #endif
 238
 239 #ifdef VAX
 240 #define DBL_DIG 16
 241 #define DBL_MAX_10_EXP 38
 242 #define DBL_MAX_EXP 127
 243 #define FLT_RADIX 2
 244 #define DBL_MAX 1.7014118346046923e+38
 245 #define n_bigtens 2
 246 #endif
 247
 248 #ifndef LONG_MAX
 249 #define LONG_MAX 2147483647
 250 #endif
 251
 252 #else /* ifndef Bad_float_h */
 253 #include "float.h"
 254 #endif /* Bad_float_h */
 255
 256 #ifdef IEEE_Arith
 257 #define Scale_Bit 0x10
 258 #define n_bigtens 5
 259 #endif
 260
 261 #ifdef IBM
 262 #define n_bigtens 3
 263 #endif
 264
 265 #ifdef VAX
 266 #define n_bigtens 2
 267 #endif
 268
 269 #include "math.h"
 270
 271 #ifdef __cplusplus
 272 extern "C" {
 273 #endif
 274
 275 #if defined(IEEE_LITTLE_ENDIAN) + defined(IEEE_BIG_ENDIAN) + defined(VAX) + defined(IBM) != 1
 276 Exactly one of IEEE_LITTLE_ENDIAN, IEEE_BIG_ENDIAN, VAX, or IBM should be defined.
 277 #endif
 278
 279 typedef union { double d; ULong L[2]; } U;
 280
 281 #ifdef YES_ALIAS
 282 #define dval(x) x
 283 #ifdef IEEE_LITTLE_ENDIAN
 284 #define word0(x) ((ULong *)&x)[1]
 285 #define word1(x) ((ULong *)&x)[0]
 286 #else
 287 #define word0(x) ((ULong *)&x)[0]
 288 #define word1(x) ((ULong *)&x)[1]
 289 #endif
 290 #else /* !YES_ALIAS */
 291 #ifdef IEEE_LITTLE_ENDIAN
 292 #define word0(x) ( /* LINTED */ (U*)&x)->L[1]
 293 #define word1(x) ( /* LINTED */ (U*)&x)->L[0]
 294 #else
 295 #define word0(x) ( /* LINTED */ (U*)&x)->L[0]
 296 #define word1(x) ( /* LINTED */ (U*)&x)->L[1]
 297 #endif
 298 #define dval(x) ( /* LINTED */ (U*)&x)->d
 299 #endif /* YES_ALIAS */
 300
 301 /* The following definition of Storeinc is appropriate for MIPS processors.
 302  * An alternative that might be better on some machines is
 303  * #define Storeinc(a,b,c) (*a++ = b << 16 | c & 0xffff)
 304  */
 305 #if defined(IEEE_LITTLE_ENDIAN) + defined(VAX)
 306 #define Storeinc(a,b,c) \
 307  (((unsigned short *)(void *)a)[1] = (unsigned short)b, \
 308   ((unsigned short *)(void *)a)[0] = (unsigned short)c, \
 309   a++)
 310 #else
 311 #define Storeinc(a,b,c) \
 312  (((unsigned short *)(void *)a)[0] = (unsigned short)b, \
 313   ((unsigned short *)(void *)a)[1] = (unsigned short)c, \
 314   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 #ifndef MULTIPLE_THREADS
 473 #define ACQUIRE_DTOA_LOCK(n)    /*nothing*/
 474 #define FREE_DTOA_LOCK(n)       /*nothing*/
 475 #else
 476 #include "reentrant.h"
 477
 478 extern mutex_t __gdtoa_locks[2];
 479
 480 #define ACQUIRE_DTOA_LOCK(n)    \
 481         do {                                                    \
 482                 if (__isthreaded)                               \
 483                         mutex_lock(&__gdtoa_locks[n]);          \
 484         } while (/* CONSTCOND */ 0)
 485 #define FREE_DTOA_LOCK(n)       \
 486         do {                                                    \
 487                 if (__isthreaded)                               \
 488                         mutex_unlock(&__gdtoa_locks[n]);        \
 489         } while (/* CONSTCOND */ 0)
 490 #endif
 491
 492 #define Kmax (sizeof(size_t) << 3)
 493
 494  struct
 495 Bigint {
 496         struct Bigint *next;
 497         int k, maxwds, sign, wds;
 498         ULong x[1];
 499         };
 500
 501  typedef struct Bigint Bigint;
 502
 503 #ifdef NO_STRING_H
 504 #ifdef DECLARE_SIZE_T
 505 typedef unsigned int size_t;
 506 #endif
 507 extern void memcpy_D2A ANSI((void*, const void*, size_t));
 508 #define Bcopy(x,y) memcpy_D2A(&x->sign,&y->sign,y->wds*sizeof(ULong) + 2*sizeof(int))
 509 #else /* !NO_STRING_H */
 510 #define Bcopy(x,y) memcpy(&x->sign,&y->sign,y->wds*sizeof(ULong) + 2*sizeof(int))
 511 #endif /* NO_STRING_H */
 512
 513 #define Balloc          __Balloc_D2A
 514 #define Bfree           __Bfree_D2A
 515 #define ULtoQ           __ULtoQ_D2A
 516 #define ULtof           __ULtof_D2A
 517 #define ULtod           __ULtod_D2A
 518 #define ULtodd          __ULtodd_D2A
 519 #define ULtox           __ULtox_D2A
 520 #define ULtoxL          __ULtoxL_D2A
 521 #define any_on          __any_on_D2A
 522 #define b2d             __b2d_D2A
 523 #define bigtens         __bigtens_D2A
 524 #define cmp             __cmp_D2A
 525 #define copybits        __copybits_D2A
 526 #define d2b             __d2b_D2A
 527 #define decrement       __decrement_D2A
 528 #define diff            __diff_D2A
 529 #define dtoa_result     __dtoa_result_D2A
 530 #define g__fmt          __g__fmt_D2A
 531 #define gethex          __gethex_D2A
 532 #define hexdig          __hexdig_D2A
 533 #define hexdig_init_D2A __hexdig_init_D2A
 534 #define hexnan          __hexnan_D2A
 535 #define hi0bits         __hi0bits_D2A
 536 #define hi0bits_D2A     __hi0bits_D2A
 537 #define i2b             __i2b_D2A
 538 #define increment       __increment_D2A
 539 #define lo0bits         __lo0bits_D2A
 540 #define lshift          __lshift_D2A
 541 #define match           __match_D2A
 542 #define mult            __mult_D2A
 543 #define multadd         __multadd_D2A
 544 #define nrv_alloc       __nrv_alloc_D2A
 545 #define pow5mult        __pow5mult_D2A
 546 #define quorem          __quorem_D2A
 547 #define ratio           __ratio_D2A
 548 #define rshift          __rshift_D2A
 549 #define rv_alloc        __rv_alloc_D2A
 550 #define s2b             __s2b_D2A
 551 #define set_ones        __set_ones_D2A
 552 #define strcp           __strcp_D2A
 553 #define strcp_D2A       __strcp_D2A
 554 #define strtoIg         __strtoIg_D2A
 555 #define sum             __sum_D2A
 556 #define tens            __tens_D2A
 557 #define tinytens        __tinytens_D2A
 558 #define tinytens        __tinytens_D2A
 559 #define trailz          __trailz_D2A
 560 #define ulp             __ulp_D2A
 561
 562  extern char *dtoa_result;
 563  extern CONST double bigtens[], tens[], tinytens[];
 564  extern unsigned char hexdig[];
 565
 566  extern Bigint *Balloc ANSI((int));
 567  extern void Bfree ANSI((Bigint*));
 568  extern void ULtof ANSI((ULong*, ULong*, Long, int));
 569  extern void ULtod ANSI((ULong*, ULong*, Long, int));
 570  extern void ULtodd ANSI((ULong*, ULong*, Long, int));
 571  extern void ULtoQ ANSI((ULong*, ULong*, Long, int));
 572  extern void ULtox ANSI((UShort*, ULong*, Long, int));
 573  extern void ULtoxL ANSI((ULong*, ULong*, Long, int));
 574  extern ULong any_on ANSI((Bigint*, int));
 575  extern double b2d ANSI((Bigint*, int*));
 576  extern int cmp ANSI((Bigint*, Bigint*));
 577  extern void copybits ANSI((ULong*, int, Bigint*));
 578  extern Bigint *d2b ANSI((double, int*, int*));
 579  extern int decrement ANSI((Bigint*));
 580  extern Bigint *diff ANSI((Bigint*, Bigint*));
 581  extern char *dtoa ANSI((double d, int mode, int ndigits,
 582                         int *decpt, int *sign, char **rve));
 583  extern char *g__fmt ANSI((char*, char*, char*, int, ULong));
 584  extern int gethex ANSI((CONST char**, CONST FPI*, Long*, Bigint**, int));
 585  extern void hexdig_init_D2A(Void);
 586  extern int hexnan ANSI((CONST char**, CONST FPI*, ULong*));
 587  extern int hi0bits_D2A ANSI((ULong));
 588  extern Bigint *i2b ANSI((int));
 589  extern Bigint *increment ANSI((Bigint*));
 590  extern int lo0bits ANSI((ULong*));
 591  extern Bigint *lshift ANSI((Bigint*, int));
 592  extern int match ANSI((CONST char**, CONST char*));
 593  extern Bigint *mult ANSI((Bigint*, Bigint*));
 594  extern Bigint *multadd ANSI((Bigint*, int, int));
 595  extern char *nrv_alloc ANSI((CONST char*, char **, size_t));
 596  extern Bigint *pow5mult ANSI((Bigint*, int));
 597  extern int quorem ANSI((Bigint*, Bigint*));
 598  extern double ratio ANSI((Bigint*, Bigint*));
 599  extern void rshift ANSI((Bigint*, int));
 600  extern char *rv_alloc ANSI((size_t));
 601  extern Bigint *s2b ANSI((CONST char*, int, int, ULong));
 602  extern Bigint *set_ones ANSI((Bigint*, int));
 603  extern char *strcp ANSI((char*, const char*));
 604  extern int strtoIg ANSI((CONST char*, char**, FPI*, Long*, Bigint**, int*));
 605  extern double strtod ANSI((const char *s00, char **se));
 606  extern Bigint *sum ANSI((Bigint*, Bigint*));
 607  extern int trailz ANSI((CONST Bigint*));
 608  extern double ulp ANSI((double));
 609
 610 #ifdef __cplusplus
 611 }
 612 #endif
 613 /*
 614  * NAN_WORD0 and NAN_WORD1 are only referenced in strtod.c.  Prior to
 615  * 20050115, they used to be hard-wired here (to 0x7ff80000 and 0,
 616  * respectively), but now are determined by compiling and running
 617  * qnan.c to generate gd_qnan.h, which specifies d_QNAN0 and d_QNAN1.
 618  * Formerly gdtoaimp.h recommended supplying suitable -DNAN_WORD0=...
 619  * and -DNAN_WORD1=...  values if necessary.  This should still work.
 620  * (On HP Series 700/800 machines, -DNAN_WORD0=0x7ff40000 works.)
 621  */
 622 #ifdef IEEE_Arith
 623 #ifdef IEEE_BIG_ENDIAN
 624 #define _0 0
 625 #define _1 1
 626 #ifndef NAN_WORD0
 627 #define NAN_WORD0 d_QNAN0
 628 #endif
 629 #ifndef NAN_WORD1
 630 #define NAN_WORD1 d_QNAN1
 631 #endif
 632 #else
 633 #define _0 1
 634 #define _1 0
 635 #ifndef NAN_WORD0
 636 #define NAN_WORD0 d_QNAN1
 637 #endif
 638 #ifndef NAN_WORD1
 639 #define NAN_WORD1 d_QNAN0
 640 #endif
 641 #endif
 642 #else
 643 #undef INFNAN_CHECK
 644 #endif
 645
 646 #undef SI
 647 #ifdef Sudden_Underflow
 648 #define SI 1
 649 #else
 650 #define SI 0
 651 #endif
 652
 653 #endif /* GDTOAIMP_H_INCLUDED */