StdLib/LibC/gdtoa/gdtoaimp.h

   1 /** @file
   2   This is a variation on dtoa.c that converts arbitary binary
   3   floating-point formats to and from decimal notation.  It uses
   4   double-precision arithmetic internally, so there are still
   5   various #ifdefs that adapt the calculations to the native
   6   double-precision arithmetic (any of IEEE, VAX D_floating,
   7   or IBM mainframe arithmetic).
   8
   9   Please send bug reports to David M. Gay (dmg at acm dot org,
  10   with " at " changed at "@" and " dot " changed to ".").
  11
  12   Copyright (c) 2010 - 2011, Intel Corporation. All rights reserved.<BR>
  13   This program and the accompanying materials are licensed and made available under
  14   the terms and conditions of the BSD License that accompanies this distribution.
  15   The full text of the license may be found at
  16   http://opensource.org/licenses/bsd-license.
  17
  18   THE PROGRAM IS DISTRIBUTED UNDER THE BSD LICENSE ON AN "AS IS" BASIS,
  19   WITHOUT WARRANTIES OR REPRESENTATIONS OF ANY KIND, EITHER EXPRESS OR IMPLIED.
  20
  21   The author of this software is David M. Gay.
  22
  23   Copyright (C) 1998-2000 by Lucent Technologies
  24   All Rights Reserved
  25
  26   Permission to use, copy, modify, and distribute this software and
  27   its documentation for any purpose and without fee is hereby
  28   granted, provided that the above copyright notice appear in all
  29   copies and that both that the copyright notice and this
  30   permission notice and warranty disclaimer appear in supporting
  31   documentation, and that the name of Lucent or any of its entities
  32   not be used in advertising or publicity pertaining to
  33   distribution of the software without specific, written prior
  34   permission.
  35
  36   LUCENT DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE,
  37   INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS.
  38   IN NO EVENT SHALL LUCENT OR ANY OF ITS ENTITIES BE LIABLE FOR ANY
  39   SPECIAL, INDIRECT OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
  40   WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER
  41   IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION,
  42   ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF
  43   THIS SOFTWARE.
  44
  45 $NetBSD: gdtoaimp.h,v 1.5.4.1 2007/05/07 19:49:06 pavel Exp
  46 **/
  47
  48 /* On a machine with IEEE extended-precision registers, it is
  49  * necessary to specify double-precision (53-bit) rounding precision
  50  * before invoking strtod or dtoa.  If the machine uses (the equivalent
  51  * of) Intel 80x87 arithmetic, the call
  52  *  _control87(PC_53, MCW_PC);
  53  * does this with many compilers.  Whether this or another call is
  54  * appropriate depends on the compiler; for this to work, it may be
  55  * necessary to #include "float.h" or another system-dependent header
  56  * file.
  57  */
  58
  59 /* strtod for IEEE-, VAX-, and IBM-arithmetic machines.
  60  *
  61  * This strtod returns a nearest machine number to the input decimal
  62  * string (or sets errno to ERANGE).  With IEEE arithmetic, ties are
  63  * broken by the IEEE round-even rule.  Otherwise ties are broken by
  64  * biased rounding (add half and chop).
  65  *
  66  * Inspired loosely by William D. Clinger's paper "How to Read Floating
  67  * Point Numbers Accurately" [Proc. ACM SIGPLAN '90, pp. 112-126].
  68  *
  69  * Modifications:
  70  *
  71  *  1. We only require IEEE, IBM, or VAX double-precision
  72  *    arithmetic (not IEEE double-extended).
  73  *  2. We get by with floating-point arithmetic in a case that
  74  *    Clinger missed -- when we're computing d * 10^n
  75  *    for a small integer d and the integer n is not too
  76  *    much larger than 22 (the maximum integer k for which
  77  *    we can represent 10^k exactly), we may be able to
  78  *    compute (d*10^k) * 10^(e-k) with just one roundoff.
  79  *  3. Rather than a bit-at-a-time adjustment of the binary
  80  *    result in the hard case, we use floating-point
  81  *    arithmetic to determine the adjustment to within
  82  *    one bit; only in really hard cases do we need to
  83  *    compute a second residual.
  84  *  4. Because of 3., we don't need a large table of powers of 10
  85  *    for ten-to-e (just some small tables, e.g. of 10^k
  86  *    for 0 <= k <= 22).
  87  */
  88
  89 /*
  90  * #define IEEE_LITTLE_ENDIAN for IEEE-arithmetic machines where the least
  91  *  significant byte has the lowest address.
  92  * #define IEEE_BIG_ENDIAN for IEEE-arithmetic machines where the most
  93  *  significant byte has the lowest address.
  94  * #define Long int on machines with 32-bit ints and 64-bit longs.
  95  * #define Sudden_Underflow for IEEE-format machines without gradual
  96  *  underflow (i.e., that flush to zero on underflow).
  97  * #define IBM for IBM mainframe-style floating-point arithmetic.
  98  * #define VAX for VAX-style floating-point arithmetic (D_floating).
  99  * #define No_leftright to omit left-right logic in fast floating-point
 100  *  computation of dtoa.
 101  * #define Check_FLT_ROUNDS if FLT_ROUNDS can assume the values 2 or 3.
 102  * #define RND_PRODQUOT to use rnd_prod and rnd_quot (assembly routines
 103  *  that use extended-precision instructions to compute rounded
 104  *  products and quotients) with IBM.
 105  * #define ROUND_BIASED for IEEE-format with biased rounding.
 106  * #define Inaccurate_Divide for IEEE-format with correctly rounded
 107  *  products but inaccurate quotients, e.g., for Intel i860.
 108  * #define NO_LONG_LONG on machines that do not have a "long long"
 109  *  integer type (of >= 64 bits).  On such machines, you can
 110  *  #define Just_16 to store 16 bits per 32-bit Long when doing
 111  *  high-precision integer arithmetic.  Whether this speeds things
 112  *  up or slows things down depends on the machine and the number
 113  *  being converted.  If long long is available and the name is
 114  *  something other than "long long", #define Llong to be the name,
 115  *  and if "unsigned Llong" does not work as an unsigned version of
 116  *  Llong, #define #ULLong to be the corresponding unsigned type.
 117  * #define KR_headers for old-style C function headers.
 118  * #define Bad_float_h if your system lacks a float.h or if it does not
 119  *  define some or all of DBL_DIG, DBL_MAX_10_EXP, DBL_MAX_EXP,
 120  *  FLT_RADIX, FLT_ROUNDS, and DBL_MAX.
 121  * #define MALLOC your_malloc, where your_malloc(n) acts like malloc(n)
 122  *  if memory is available and otherwise does something you deem
 123  *  appropriate.  If MALLOC is undefined, malloc will be invoked
 124  *  directly -- and assumed always to succeed.
 125  * #define Omit_Private_Memory to omit logic (added Jan. 1998) for making
 126  *  memory allocations from a private pool of memory when possible.
 127  *  When used, the private pool is PRIVATE_MEM bytes long:  2304 bytes,
 128  *  unless #defined to be a different length.  This default length
 129  *  suffices to get rid of MALLOC calls except for unusual cases,
 130  *  such as decimal-to-binary conversion of a very long string of
 131  *  digits.  When converting IEEE double precision values, the
 132  *  longest string gdtoa can return is about 751 bytes long.  For
 133  *  conversions by strtod of strings of 800 digits and all gdtoa
 134  *  conversions of IEEE doubles in single-threaded executions with
 135  *  8-byte pointers, PRIVATE_MEM >= 7400 appears to suffice; with
 136  *  4-byte pointers, PRIVATE_MEM >= 7112 appears adequate.
 137  * #define INFNAN_CHECK on IEEE systems to cause strtod to check for
 138  *  Infinity and NaN (case insensitively).
 139  *  When INFNAN_CHECK is #defined and No_Hex_NaN is not #defined,
 140  *  strtodg also accepts (case insensitively) strings of the form
 141  *  NaN(x), where x is a string of hexadecimal digits and spaces;
 142  *  if there is only one string of hexadecimal digits, it is taken
 143  *  for the fraction bits of the resulting NaN; if there are two or
 144  *  more strings of hexadecimal digits, each string is assigned
 145  *  to the next available sequence of 32-bit words of fractions
 146  *  bits (starting with the most significant), right-aligned in
 147  *  each sequence.
 148  * #define MULTIPLE_THREADS if the system offers preemptively scheduled
 149  *  multiple threads.  In this case, you must provide (or suitably
 150  *  #define) two locks, acquired by ACQUIRE_DTOA_LOCK(n) and freed
 151  *  by FREE_DTOA_LOCK(n) for n = 0 or 1.  (The second lock, accessed
 152  *  in pow5mult, ensures lazy evaluation of only one copy of high
 153  *  powers of 5; omitting this lock would introduce a small
 154  *  probability of wasting memory, but would otherwise be harmless.)
 155  *  You must also invoke freedtoa(s) to free the value s returned by
 156  *  dtoa.  You may do so whether or not MULTIPLE_THREADS is #defined.
 157  * #define IMPRECISE_INEXACT if you do not care about the setting of
 158  *  the STRTOG_Inexact bits in the special case of doing IEEE double
 159  *  precision conversions (which could also be done by the strtog in
 160  *  dtoa.c).
 161  * #define NO_HEX_FP to disable recognition of C9x's hexadecimal
 162  *  floating-point constants.
 163  * #define -DNO_ERRNO to suppress setting errno (in strtod.c and
 164  *  strtodg.c).
 165  * #define NO_STRING_H to use private versions of memcpy.
 166  *  On some K&R systems, it may also be necessary to
 167  *  #define DECLARE_SIZE_T in this case.
 168  * #define YES_ALIAS to permit aliasing certain double values with
 169  *  arrays of ULongs.  This leads to slightly better code with
 170  *  some compilers and was always used prior to 19990916, but it
 171  *  is not strictly legal and can cause trouble with aggressively
 172  *  optimizing compilers (e.g., gcc 2.95.1 under -O2).
 173  * #define USE_LOCALE to use the current locale's decimal_point value.
 174  */
 175
 176 /* #define IEEE_{BIG,LITTLE}_ENDIAN in ${ARCHDIR}/gdtoa/arith.h */
 177 #include  <LibConfig.h>
 178
 179 #include <stdint.h>
 180 #define Short   int16_t
 181 #define UShort uint16_t
 182 #define Long   EFI_LONG_T
 183 #define ULong  EFI_ULONG_T
 184 #define LLong   int64_t
 185 #define ULLong uint64_t
 186
 187 #define INFNAN_CHECK
 188 #ifdef _REENTRANT
 189 #define MULTIPLE_THREADS
 190 #endif
 191 #define USE_LOCALE
 192
 193 #ifndef GDTOAIMP_H_INCLUDED
 194 #define GDTOAIMP_H_INCLUDED
 195 #include "gdtoa.h"
 196 #include "gd_qnan.h"
 197
 198 #ifdef DEBUG
 199 #include "stdio.h"
 200 #define Bug(x) {fprintf(stderr, "%s\n", x); exit(1);}
 201 #endif
 202
 203 #include "stdlib.h"
 204 #include "string.h"
 205
 206 #ifdef KR_headers
 207 #define Char char
 208 #else
 209 #define Char void
 210 #endif
 211
 212 #ifdef MALLOC
 213 extern Char *MALLOC ANSI((size_t));
 214 #else
 215 #define MALLOC malloc
 216 #endif
 217
 218 #undef IEEE_Arith
 219 #undef Avoid_Underflow
 220 #ifdef IEEE_BIG_ENDIAN
 221 #define IEEE_Arith
 222 #endif
 223 #ifdef IEEE_LITTLE_ENDIAN
 224 #define IEEE_Arith
 225 #endif
 226
 227 #include "errno.h"
 228 #ifdef Bad_float_h
 229
 230 #ifdef IEEE_Arith
 231 #define DBL_DIG 15
 232 #define DBL_MAX_10_EXP 308
 233 #define DBL_MAX_EXP 1024
 234 #define FLT_RADIX 2
 235 #define DBL_MAX 1.7976931348623157e+308
 236 #endif
 237
 238 #ifdef IBM
 239 #define DBL_DIG 16
 240 #define DBL_MAX_10_EXP 75
 241 #define DBL_MAX_EXP 63
 242 #define FLT_RADIX 16
 243 #define DBL_MAX 7.2370055773322621e+75
 244 #endif
 245
 246 #ifdef VAX
 247 #define DBL_DIG 16
 248 #define DBL_MAX_10_EXP 38
 249 #define DBL_MAX_EXP 127
 250 #define FLT_RADIX 2
 251 #define DBL_MAX 1.7014118346046923e+38
 252 #define n_bigtens 2
 253 #endif
 254
 255 #ifndef LONG_MAX
 256 #define LONG_MAX 2147483647
 257 #endif
 258
 259 #else /* ifndef Bad_float_h */
 260 #include "float.h"
 261 #endif /* Bad_float_h */
 262
 263 #ifdef IEEE_Arith
 264 #define Scale_Bit 0x10
 265 #define n_bigtens 5
 266 #endif
 267
 268 #ifdef IBM
 269 #define n_bigtens 3
 270 #endif
 271
 272 #ifdef VAX
 273 #define n_bigtens 2
 274 #endif
 275
 276 #include "math.h"
 277
 278 #ifdef __cplusplus
 279 extern "C" {
 280 #endif
 281
 282 #if defined(IEEE_LITTLE_ENDIAN) + defined(IEEE_BIG_ENDIAN) + defined(VAX) + defined(IBM) != 1
 283 Exactly one of IEEE_LITTLE_ENDIAN, IEEE_BIG_ENDIAN, VAX, or IBM should be defined.
 284 #endif
 285
 286 typedef union { double d; ULong L[2]; } U;
 287 //typedef union { double d; UINT32 L[2]; } U;
 288
 289 #ifdef YES_ALIAS
 290 #define dval(x) x
 291 #ifdef IEEE_LITTLE_ENDIAN
 292 #define word0(x) ((ULong *)&x)[1]
 293 #define word1(x) ((ULong *)&x)[0]
 294 #else
 295 #define word0(x) ((ULong *)&x)[0]
 296 #define word1(x) ((ULong *)&x)[1]
 297 #endif
 298 #else /* !YES_ALIAS */
 299 #ifdef IEEE_LITTLE_ENDIAN
 300 #define word0(x) ( /* LINTED */ (U*)&x)->L[1]
 301 #define word1(x) ( /* LINTED */ (U*)&x)->L[0]
 302 #else
 303 #define word0(x) ( /* LINTED */ (U*)&x)->L[0]
 304 #define word1(x) ( /* LINTED */ (U*)&x)->L[1]
 305 #endif
 306 #define dval(x) ( /* LINTED */ (U*)&x)->d
 307 #endif /* YES_ALIAS */
 308
 309 /* The following definition of Storeinc is appropriate for MIPS processors.
 310  * An alternative that might be better on some machines is
 311  * #define Storeinc(a,b,c) (*a++ = b << 16 | c & 0xffff)
 312  */
 313 #if defined(IEEE_LITTLE_ENDIAN) + defined(VAX)
 314 #define Storeinc(a,b,c) \
 315  (((unsigned short *)(void *)a)[1] = (unsigned short)b, \
 316   ((unsigned short *)(void *)a)[0] = (unsigned short)c, \
 317   a++)
 318 #else
 319 #define Storeinc(a,b,c) \
 320  (((unsigned short *)(void *)a)[0] = (unsigned short)b, \
 321   ((unsigned short *)(void *)a)[1] = (unsigned short)c, \
 322   a++)
 323 #endif
 324
 325 /* #define P DBL_MANT_DIG */
 326 /* Ten_pmax = floor(P*log(2)/log(5)) */
 327 /* Bletch = (highest power of 2 < DBL_MAX_10_EXP) / 16 */
 328 /* Quick_max = floor((P-1)*log(FLT_RADIX)/log(10) - 1) */
 329 /* Int_max = floor(P*log(FLT_RADIX)/log(10) - 1) */
 330
 331 #ifdef IEEE_Arith
 332 #define Exp_shift  20
 333 #define Exp_shift1 20
 334 #define Exp_msk1    0x100000
 335 #define Exp_msk11   0x100000
 336 #define Exp_mask  0x7ff00000
 337 #define P 53
 338 #define Bias 1023
 339 #define Emin (-1022)
 340 #define Exp_1  0x3ff00000
 341 #define Exp_11 0x3ff00000
 342 #define Ebits 11
 343 #define Frac_mask  0xfffffU
 344 #define Frac_mask1 0xfffffU
 345 #define Ten_pmax 22
 346 #define Bletch 0x10
 347 #define Bndry_mask  0xfffffU
 348 #define Bndry_mask1 0xfffffU
 349 #define LSB 1
 350 #define Sign_bit 0x80000000
 351 #define Log2P 1
 352 #define Tiny0 0
 353 #define Tiny1 1
 354 #define Quick_max 14
 355 #define Int_max 14
 356
 357 #ifndef Flt_Rounds
 358 #ifdef FLT_ROUNDS
 359 #define Flt_Rounds FLT_ROUNDS
 360 #else
 361 #define Flt_Rounds 1
 362 #endif
 363 #endif /*Flt_Rounds*/
 364
 365 #else /* ifndef IEEE_Arith */
 366 #undef  Sudden_Underflow
 367 #define Sudden_Underflow
 368 #ifdef IBM
 369 #undef Flt_Rounds
 370 #define Flt_Rounds 0
 371 #define Exp_shift  24
 372 #define Exp_shift1 24
 373 #define Exp_msk1   0x1000000
 374 #define Exp_msk11  0x1000000
 375 #define Exp_mask  0x7f000000
 376 #define P 14
 377 #define Bias 65
 378 #define Exp_1  0x41000000
 379 #define Exp_11 0x41000000
 380 #define Ebits 8 /* exponent has 7 bits, but 8 is the right value in b2d */
 381 #define Frac_mask  0xffffff
 382 #define Frac_mask1 0xffffff
 383 #define Bletch 4
 384 #define Ten_pmax 22
 385 #define Bndry_mask  0xefffff
 386 #define Bndry_mask1 0xffffff
 387 #define LSB 1
 388 #define Sign_bit 0x80000000
 389 #define Log2P 4
 390 #define Tiny0 0x100000
 391 #define Tiny1 0
 392 #define Quick_max 14
 393 #define Int_max 15
 394 #else /* VAX */
 395 #undef Flt_Rounds
 396 #define Flt_Rounds 1
 397 #define Exp_shift  23
 398 #define Exp_shift1 7
 399 #define Exp_msk1    0x80
 400 #define Exp_msk11   0x800000
 401 #define Exp_mask  0x7f80
 402 #define P 56
 403 #define Bias 129
 404 #define Exp_1  0x40800000
 405 #define Exp_11 0x4080
 406 #define Ebits 8
 407 #define Frac_mask  0x7fffff
 408 #define Frac_mask1 0xffff007f
 409 #define Ten_pmax 24
 410 #define Bletch 2
 411 #define Bndry_mask  0xffff007f
 412 #define Bndry_mask1 0xffff007f
 413 #define LSB 0x10000
 414 #define Sign_bit 0x8000
 415 #define Log2P 1
 416 #define Tiny0 0x80
 417 #define Tiny1 0
 418 #define Quick_max 15
 419 #define Int_max 15
 420 #endif /* IBM, VAX */
 421 #endif /* IEEE_Arith */
 422
 423 #ifndef IEEE_Arith
 424 #define ROUND_BIASED
 425 #endif
 426
 427 #ifdef RND_PRODQUOT
 428 #define rounded_product(a,b) a = rnd_prod(a, b)
 429 #define rounded_quotient(a,b) a = rnd_quot(a, b)
 430 #ifdef KR_headers
 431 extern double rnd_prod(), rnd_quot();
 432 #else
 433 extern double rnd_prod(double, double), rnd_quot(double, double);
 434 #endif
 435 #else
 436 #define rounded_product(a,b) a *= b
 437 #define rounded_quotient(a,b) a /= b
 438 #endif
 439
 440 #define Big0 (Frac_mask1 | Exp_msk1*(DBL_MAX_EXP+Bias-1))
 441 #define Big1 0xffffffffU
 442
 443 #undef  Pack_16
 444 #ifndef Pack_32
 445 #define Pack_32
 446 #endif
 447
 448 #ifdef NO_LONG_LONG
 449 #undef ULLong
 450 #ifdef Just_16
 451 #undef Pack_32
 452 #define Pack_16
 453 /* When Pack_32 is not defined, we store 16 bits per 32-bit Long.
 454  * This makes some inner loops simpler and sometimes saves work
 455  * during multiplications, but it often seems to make things slightly
 456  * slower.  Hence the default is now to store 32 bits per Long.
 457  */
 458 #endif
 459 #else /* long long available */
 460 #ifndef Llong
 461 #define Llong long long
 462 #endif
 463 #ifndef ULLong
 464 #define ULLong unsigned Llong
 465 #endif
 466 #endif /* NO_LONG_LONG */
 467
 468 #ifdef Pack_32
 469 #define ULbits 32
 470 #define kshift 5
 471 #define kmask 31
 472 #define ALL_ON 0xffffffff
 473 #else
 474 #define ULbits 16
 475 #define kshift 4
 476 #define kmask 15
 477 #define ALL_ON 0xffff
 478 #endif
 479
 480 #ifndef MULTIPLE_THREADS
 481 #define ACQUIRE_DTOA_LOCK(n)  /*nothing*/
 482 #define FREE_DTOA_LOCK(n) /*nothing*/
 483 #else
 484 #include "reentrant.h"
 485
 486 extern mutex_t __gdtoa_locks[2];
 487
 488 #define ACQUIRE_DTOA_LOCK(n)  \
 489   do {              \
 490     if (__isthreaded)       \
 491       mutex_lock(&__gdtoa_locks[n]);    \
 492   } while (/* CONSTCOND */ 0)
 493 #define FREE_DTOA_LOCK(n) \
 494   do {              \
 495     if (__isthreaded)       \
 496       mutex_unlock(&__gdtoa_locks[n]);  \
 497   } while (/* CONSTCOND */ 0)
 498 #endif
 499
 500 #define Kmax 15
 501
 502  struct
 503 Bigint {
 504   struct Bigint *next;
 505   int k, maxwds, sign, wds;
 506   ULong x[1];
 507   };
 508
 509  typedef struct Bigint Bigint;
 510
 511 #ifdef NO_STRING_H
 512 #ifdef DECLARE_SIZE_T
 513 typedef unsigned int size_t;
 514 #endif
 515 extern void memcpy_D2A ANSI((void*, const void*, size_t));
 516 #define Bcopy(x,y) memcpy_D2A(&x->sign,&y->sign,y->wds*sizeof(ULong) + 2*sizeof(int))
 517 #else /* !NO_STRING_H */
 518 #define Bcopy(x,y) memcpy(&x->sign,&y->sign,y->wds*sizeof(ULong) + 2*sizeof(int))
 519 #endif /* NO_STRING_H */
 520
 521 #define Balloc        __Balloc_D2A
 522 #define Bfree         __Bfree_D2A
 523 #define ULtoQ         __ULtoQ_D2A
 524 #define ULtof         __ULtof_D2A
 525 #define ULtod         __ULtod_D2A
 526 #define ULtodd        __ULtodd_D2A
 527 #define ULtox         __ULtox_D2A
 528 #define ULtoxL        __ULtoxL_D2A
 529 #define any_on        __any_on_D2A
 530 #define b2d           __b2d_D2A
 531 #define bigtens       __bigtens_D2A
 532 #define cmp           __cmp_D2A
 533 #define copybits      __copybits_D2A
 534 #define d2b           __d2b_D2A
 535 #define decrement     __decrement_D2A
 536 #define diff          __diff_D2A
 537 #define dtoa_result   __dtoa_result_D2A
 538 #define g__fmt        __g__fmt_D2A
 539 #define gethex        __gethex_D2A
 540 #define hexdig        __hexdig_D2A
 541 #define hexdig_init_D2A __hexdig_init_D2A
 542 #define hexnan        __hexnan_D2A
 543 #define hi0bits       __hi0bits_D2A
 544 #define hi0bits_D2A   __hi0bits_D2A
 545 #define i2b           __i2b_D2A
 546 #define increment     __increment_D2A
 547 #define lo0bits       __lo0bits_D2A
 548 #define lshift        __lshift_D2A
 549 #define match         __match_D2A
 550 #define mult          __mult_D2A
 551 #define multadd       __multadd_D2A
 552 #define nrv_alloc     __nrv_alloc_D2A
 553 #define pow5mult      __pow5mult_D2A
 554 #define quorem        __quorem_D2A
 555 #define ratio         __ratio_D2A
 556 #define rshift        __rshift_D2A
 557 #define rv_alloc      __rv_alloc_D2A
 558 #define s2b           __s2b_D2A
 559 #define set_ones      __set_ones_D2A
 560 #define strcp         __strcp_D2A
 561 #define strcp_D2A     __strcp_D2A
 562 #define strtoIg       __strtoIg_D2A
 563 #define sum           __sum_D2A
 564 #define tens          __tens_D2A
 565 #define tinytens      __tinytens_D2A
 566 #define tinytens      __tinytens_D2A
 567 #define trailz        __trailz_D2A
 568 #define ulp           __ulp_D2A
 569
 570 extern char          *dtoa_result;
 571 extern CONST double   bigtens[], tens[], tinytens[];
 572 extern unsigned char  hexdig[];
 573
 574 extern Bigint  *Balloc      (int);
 575 extern void     Bfree       (Bigint*);
 576 extern void     ULtof       (ULong*, ULong*, Long, int);
 577 extern void     ULtod       (ULong*, ULong*, Long, int);
 578 extern void     ULtodd      (ULong*, ULong*, Long, int);
 579 extern void     ULtoQ       (ULong*, ULong*, Long, int);
 580 extern void     ULtox       (UShort*, ULong*, Long, int);
 581 extern void     ULtoxL      (ULong*, ULong*, Long, int);
 582 extern ULong    any_on      (Bigint*, int);
 583 extern double   b2d         (Bigint*, int*);
 584 extern int      cmp         (Bigint*, Bigint*);
 585 extern void     copybits    (ULong*, int, Bigint*);
 586 extern Bigint  *d2b         (double, int*, int*);
 587 extern int      decrement   (Bigint*);
 588 extern Bigint  *diff        (Bigint*, Bigint*);
 589 extern char    *dtoa        (double d, int mode, int ndigits,
 590                                   int *decpt, int *sign, char **rve);
 591 extern char    *g__fmt      (char*, char*, char*, int, ULong);
 592 extern int      gethex      (CONST char**, CONST FPI*, Long*, Bigint**, int);
 593 extern void     hexdig_init_D2A(Void);
 594 extern int      hexnan      (CONST char**, CONST FPI*, ULong*);
 595 extern int      hi0bits_D2A (ULong);
 596 extern Bigint  *i2b         (int);
 597 extern Bigint  *increment   (Bigint*);
 598 extern int      lo0bits     (ULong*);
 599 extern Bigint  *lshift      (Bigint*, int);
 600 extern int      match       (CONST char**, CONST char*);
 601 extern Bigint  *mult        (Bigint*, Bigint*);
 602 extern Bigint  *multadd     (Bigint*, int, int);
 603 extern char    *nrv_alloc   (CONST char*, char **, size_t);
 604 extern Bigint  *pow5mult    (Bigint*, int);
 605 extern int      quorem      (Bigint*, Bigint*);
 606 extern double   ratio       (Bigint*, Bigint*);
 607 extern void     rshift      (Bigint*, int);
 608 extern char    *rv_alloc    (size_t);
 609 extern Bigint  *s2b         (CONST char*, int, int, ULong);
 610 extern Bigint  *set_ones    (Bigint*, int);
 611 extern char    *strcp       (char*, const char*);
 612 extern int      strtoIg     (CONST char*, char**, FPI*, Long*, Bigint**, int*);
 613 extern double   strtod      (const char *s00, char **se);
 614 extern Bigint  *sum         (Bigint*, Bigint*);
 615 extern int      trailz      (CONST Bigint*);
 616 extern double   ulp         (double);
 617
 618 #ifdef __cplusplus
 619 }
 620 #endif
 621 /*
 622  * NAN_WORD0 and NAN_WORD1 are only referenced in strtod.c.  Prior to
 623  * 20050115, they used to be hard-wired here (to 0x7ff80000 and 0,
 624  * respectively), but now are determined by compiling and running
 625  * qnan.c to generate gd_qnan.h, which specifies d_QNAN0 and d_QNAN1.
 626  * Formerly gdtoaimp.h recommended supplying suitable -DNAN_WORD0=...
 627  * and -DNAN_WORD1=...  values if necessary.  This should still work.
 628  * (On HP Series 700/800 machines, -DNAN_WORD0=0x7ff40000 works.)
 629  */
 630 #ifdef IEEE_Arith
 631 #ifdef IEEE_BIG_ENDIAN
 632 #define _0 0
 633 #define _1 1
 634 #ifndef NAN_WORD0
 635 #define NAN_WORD0 d_QNAN0
 636 #endif
 637 #ifndef NAN_WORD1
 638 #define NAN_WORD1 d_QNAN1
 639 #endif
 640 #else
 641 #define _0 1
 642 #define _1 0
 643 #ifndef NAN_WORD0
 644 #define NAN_WORD0 d_QNAN1
 645 #endif
 646 #ifndef NAN_WORD1
 647 #define NAN_WORD1 d_QNAN0
 648 #endif
 649 #endif
 650 #else
 651 #undef INFNAN_CHECK
 652 #endif
 653
 654 #undef SI
 655 #ifdef Sudden_Underflow
 656 #define SI 1
 657 #else
 658 #define SI 0
 659 #endif
 660
 661 #endif /* GDTOAIMP_H_INCLUDED */