lib/libc/gdtoa/gdtoaimp.h

   1 /* $NetBSD: gdtoaimp.h,v 1.14 2013/04/19 10:41:53 joerg 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 and arithmetic
 100  *      that rounds toward +Infinity.
 101  * #define ROUND_BIASED_without_Round_Up for IEEE-format with biased
 102  *      rounding when the underlying floating-point arithmetic uses
 103  *      unbiased rounding.  This prevent using ordinary floating-point
 104  *      arithmetic when the result could be computed with one rounding error.
 105  * #define Inaccurate_Divide for IEEE-format with correctly rounded
 106  *      products but inaccurate quotients, e.g., for Intel i860.
 107  * #define NO_LONG_LONG on machines that do not have a "long long"
 108  *      integer type (of >= 64 bits).  On such machines, you can
 109  *      #define Just_16 to store 16 bits per 32-bit Long when doing
 110  *      high-precision integer arithmetic.  Whether this speeds things
 111  *      up or slows things down depends on the machine and the number
 112  *      being converted.  If long long is available and the name is
 113  *      something other than "long long", #define Llong to be the name,
 114  *      and if "unsigned Llong" does not work as an unsigned version of
 115  *      Llong, #define #ULLong to be the corresponding unsigned type.
 116  * #define KR_headers for old-style C function headers.
 117  * #define Bad_float_h if your system lacks a float.h or if it does not
 118  *      define some or all of DBL_DIG, DBL_MAX_10_EXP, DBL_MAX_EXP,
 119  *      FLT_RADIX, FLT_ROUNDS, and DBL_MAX.
 120  * #define MALLOC your_malloc, where your_malloc(n) acts like malloc(n)
 121  *      if memory is available and otherwise does something you deem
 122  *      appropriate.  If MALLOC is undefined, malloc will be invoked
 123  *      directly -- and assumed always to succeed.  Similarly, if you
 124  *      want something other than the system's free() to be called to
 125  *      recycle memory acquired from MALLOC, #define FREE to be the
 126  *      name of the alternate routine.  (FREE or free is only called in
 127  *      pathological cases, e.g., in a gdtoa call after a gdtoa return in
 128  *      mode 3 with thousands of digits requested.)
 129  * #define Omit_Private_Memory to omit logic (added Jan. 1998) for making
 130  *      memory allocations from a private pool of memory when possible.
 131  *      When used, the private pool is PRIVATE_MEM bytes long:  2304 bytes,
 132  *      unless #defined to be a different length.  This default length
 133  *      suffices to get rid of MALLOC calls except for unusual cases,
 134  *      such as decimal-to-binary conversion of a very long string of
 135  *      digits.  When converting IEEE double precision values, the
 136  *      longest string gdtoa can return is about 751 bytes long.  For
 137  *      conversions by strtod of strings of 800 digits and all gdtoa
 138  *      conversions of IEEE doubles in single-threaded executions with
 139  *      8-byte pointers, PRIVATE_MEM >= 7400 appears to suffice; with
 140  *      4-byte pointers, PRIVATE_MEM >= 7112 appears adequate.
 141  * #define NO_INFNAN_CHECK if you do not wish to have INFNAN_CHECK
 142  *      #defined automatically on IEEE systems.  On such systems,
 143  *      when INFNAN_CHECK is #defined, strtod checks
 144  *      for Infinity and NaN (case insensitively).
 145  *      When INFNAN_CHECK is #defined and No_Hex_NaN is not #defined,
 146  *      strtodg also accepts (case insensitively) strings of the form
 147  *      NaN(x), where x is a string of hexadecimal digits (optionally
 148  *      preceded by 0x or 0X) and spaces; if there is only one string
 149  *      of hexadecimal digits, it is taken for the fraction bits of the
 150  *      resulting NaN; if there are two or more strings of hexadecimal
 151  *      digits, each string is assigned to the next available sequence
 152  *      of 32-bit words of fractions bits (starting with the most
 153  *      significant), right-aligned in each sequence.
 154  *      Unless GDTOA_NON_PEDANTIC_NANCHECK is #defined, input "NaN(...)"
 155  *      is consumed even when ... has the wrong form (in which case the
 156  *      "(...)" is consumed but ignored).
 157  * #define MULTIPLE_THREADS if the system offers preemptively scheduled
 158  *      multiple threads.  In this case, you must provide (or suitably
 159  *      #define) two locks, acquired by ACQUIRE_DTOA_LOCK(n) and freed
 160  *      by FREE_DTOA_LOCK(n) for n = 0 or 1.  (The second lock, accessed
 161  *      in pow5mult, ensures lazy evaluation of only one copy of high
 162  *      powers of 5; omitting this lock would introduce a small
 163  *      probability of wasting memory, but would otherwise be harmless.)
 164  *      You must also invoke freedtoa(s) to free the value s returned by
 165  *      dtoa.  You may do so whether or not MULTIPLE_THREADS is #defined.
 166  * #define IMPRECISE_INEXACT if you do not care about the setting of
 167  *      the STRTOG_Inexact bits in the special case of doing IEEE double
 168  *      precision conversions (which could also be done by the strtod in
 169  *      dtoa.c).
 170  * #define NO_HEX_FP to disable recognition of C9x's hexadecimal
 171  *      floating-point constants.
 172  * #define -DNO_ERRNO to suppress setting errno (in strtod.c and
 173  *      strtodg.c).
 174  * #define NO_STRING_H to use private versions of memcpy.
 175  *      On some K&R systems, it may also be necessary to
 176  *      #define DECLARE_SIZE_T in this case.
 177  * #define USE_LOCALE to use the current locale's decimal_point value.
 178  */
 179
 180 /* #define IEEE_{BIG,LITTLE}_ENDIAN in ${ARCHDIR}/gdtoa/arith.h */
 181
 182 #include <assert.h>
 183 #include <stdint.h>
 184 #define Short   int16_t
 185 #define UShort uint16_t
 186 #define Long    int32_t
 187 #define ULong  uint32_t
 188 #define LLong   int64_t
 189 #define ULLong uint64_t
 190
 191 #define INFNAN_CHECK
 192 #ifdef _REENTRANT
 193 #define MULTIPLE_THREADS
 194 #endif
 195 #define USE_LOCALE
 196
 197 #ifndef GDTOAIMP_H_INCLUDED
 198 #define GDTOAIMP_H_INCLUDED
 199 #include "gdtoa.h"
 200 #include "gd_qnan.h"
 201 #ifdef Honor_FLT_ROUNDS
 202 #include <fenv.h>
 203 #endif
 204
 205 #ifdef DEBUG
 206 #include "stdio.h"
 207 #define Bug(x) {fprintf(stderr, "%s\n", x); exit(1);}
 208 #endif
 209
 210 #include "stdlib.h"
 211 #include "string.h"
 212
 213 #ifdef KR_headers
 214 #define Char char
 215 #else
 216 #define Char void
 217 #endif
 218
 219 #ifdef MALLOC
 220 extern Char *MALLOC ANSI((size_t));
 221 #else
 222 #define MALLOC malloc
 223 #endif
 224
 225 #undef IEEE_Arith
 226 #undef Avoid_Underflow
 227 #ifdef IEEE_BIG_ENDIAN
 228 #define IEEE_Arith
 229 #endif
 230 #ifdef IEEE_LITTLE_ENDIAN
 231 #define IEEE_Arith
 232 #endif
 233
 234 #include "errno.h"
 235 #ifdef Bad_float_h
 236
 237 #ifdef IEEE_Arith
 238 #define DBL_DIG 15
 239 #define DBL_MAX_10_EXP 308
 240 #define DBL_MAX_EXP 1024
 241 #define FLT_RADIX 2
 242 #define DBL_MAX 1.7976931348623157e+308
 243 #endif
 244
 245 #ifdef IBM
 246 #define DBL_DIG 16
 247 #define DBL_MAX_10_EXP 75
 248 #define DBL_MAX_EXP 63
 249 #define FLT_RADIX 16
 250 #define DBL_MAX 7.2370055773322621e+75
 251 #endif
 252
 253 #ifdef VAX
 254 #define DBL_DIG 16
 255 #define DBL_MAX_10_EXP 38
 256 #define DBL_MAX_EXP 127
 257 #define FLT_RADIX 2
 258 #define DBL_MAX 1.7014118346046923e+38
 259 #define n_bigtens 2
 260 #endif
 261
 262 #ifndef LONG_MAX
 263 #define LONG_MAX 2147483647
 264 #endif
 265
 266 #else /* ifndef Bad_float_h */
 267 #include "float.h"
 268 #endif /* Bad_float_h */
 269
 270 #ifdef IEEE_Arith
 271 #define Scale_Bit 0x10
 272 #define n_bigtens 5
 273 #endif
 274
 275 #ifdef IBM
 276 #define n_bigtens 3
 277 #endif
 278
 279 #ifdef VAX
 280 #define n_bigtens 2
 281 #endif
 282
 283 #include "math.h"
 284
 285 #ifdef __cplusplus
 286 extern "C" {
 287 #endif
 288
 289 #if defined(IEEE_LITTLE_ENDIAN) + defined(IEEE_BIG_ENDIAN) + defined(VAX) + defined(IBM) != 1
 290 Exactly one of IEEE_LITTLE_ENDIAN, IEEE_BIG_ENDIAN, VAX, or IBM should be defined.
 291 #endif
 292
 293 typedef union { double d; ULong L[2]; } __attribute__((__may_alias__)) U;
 294
 295 #ifdef YES_ALIAS
 296 #define dval(x) x
 297 #ifdef IEEE_LITTLE_ENDIAN
 298 #define word0(x) ((ULong *)x)[1]
 299 #define word1(x) ((ULong *)x)[0]
 300 #else
 301 #define word0(x) ((ULong *)x)[0]
 302 #define word1(x) ((ULong *)x)[1]
 303 #endif
 304 #else /* !YES_ALIAS */
 305 #ifdef IEEE_LITTLE_ENDIAN
 306 #define word0(x) ( /* LINTED */ (U*)x)->L[1]
 307 #define word1(x) ( /* LINTED */ (U*)x)->L[0]
 308 #else
 309 #define word0(x) ( /* LINTED */ (U*)x)->L[0]
 310 #define word1(x) ( /* LINTED */ (U*)x)->L[1]
 311 #endif
 312 #define dval(x) ( /* LINTED */ (U*)x)->d
 313 #endif /* YES_ALIAS */
 314
 315 /* The following definition of Storeinc is appropriate for MIPS processors.
 316  * An alternative that might be better on some machines is
 317  * #define Storeinc(a,b,c) (*a++ = b << 16 | c & 0xffff)
 318  */
 319 #if defined(IEEE_LITTLE_ENDIAN) + defined(VAX)
 320 #define Storeinc(a,b,c) \
 321  (((unsigned short *)(void *)a)[1] = (unsigned short)b, \
 322   ((unsigned short *)(void *)a)[0] = (unsigned short)c, \
 323   a++)
 324 #else
 325 #define Storeinc(a,b,c) \
 326  (((unsigned short *)(void *)a)[0] = (unsigned short)b, \
 327   ((unsigned short *)(void *)a)[1] = (unsigned short)c, \
 328   a++)
 329 #endif
 330
 331 /* #define P DBL_MANT_DIG */
 332 /* Ten_pmax = floor(P*log(2)/log(5)) */
 333 /* Bletch = (highest power of 2 < DBL_MAX_10_EXP) / 16 */
 334 /* Quick_max = floor((P-1)*log(FLT_RADIX)/log(10) - 1) */
 335 /* Int_max = floor(P*log(FLT_RADIX)/log(10) - 1) */
 336
 337 #ifdef IEEE_Arith
 338 #define Exp_shift  20
 339 #define Exp_shift1 20
 340 #define Exp_msk1    0x100000
 341 #define Exp_msk11   0x100000
 342 #define Exp_mask  0x7ff00000
 343 #define P 53
 344 #define Bias 1023
 345 #define Emin (-1022)
 346 #define Exp_1  0x3ff00000
 347 #define Exp_11 0x3ff00000
 348 #define Ebits 11
 349 #define Frac_mask  0xfffff
 350 #define Frac_mask1 0xfffff
 351 #define Ten_pmax 22
 352 #define Bletch 0x10
 353 #define Bndry_mask  0xfffff
 354 #define Bndry_mask1 0xfffff
 355 #define LSB 1
 356 #define Sign_bit 0x80000000
 357 #define Log2P 1
 358 #define Tiny0 0
 359 #define Tiny1 1
 360 #define Quick_max 14
 361 #define Int_max 14
 362
 363 #ifndef Flt_Rounds
 364 #ifdef FLT_ROUNDS
 365 #define Flt_Rounds FLT_ROUNDS
 366 #else
 367 #define Flt_Rounds 1
 368 #endif
 369 #endif /*Flt_Rounds*/
 370
 371 #else /* ifndef IEEE_Arith */
 372 #undef  Sudden_Underflow
 373 #define Sudden_Underflow
 374 #ifdef IBM
 375 #undef Flt_Rounds
 376 #define Flt_Rounds 0
 377 #define Exp_shift  24
 378 #define Exp_shift1 24
 379 #define Exp_msk1   0x1000000
 380 #define Exp_msk11  0x1000000
 381 #define Exp_mask  0x7f000000
 382 #define P 14
 383 #define Bias 65
 384 #define Exp_1  0x41000000
 385 #define Exp_11 0x41000000
 386 #define Ebits 8 /* exponent has 7 bits, but 8 is the right value in b2d */
 387 #define Frac_mask  0xffffff
 388 #define Frac_mask1 0xffffff
 389 #define Bletch 4
 390 #define Ten_pmax 22
 391 #define Bndry_mask  0xefffff
 392 #define Bndry_mask1 0xffffff
 393 #define LSB 1
 394 #define Sign_bit 0x80000000
 395 #define Log2P 4
 396 #define Tiny0 0x100000
 397 #define Tiny1 0
 398 #define Quick_max 14
 399 #define Int_max 15
 400 #else /* VAX */
 401 #undef Flt_Rounds
 402 #define Flt_Rounds 1
 403 #define Exp_shift  23
 404 #define Exp_shift1 7
 405 #define Exp_msk1    0x80
 406 #define Exp_msk11   0x800000
 407 #define Exp_mask  0x7f80
 408 #define P 56
 409 #define Bias 129
 410 #define Emin (-127)     /* XXX: Check this */
 411 #define Exp_1  0x40800000
 412 #define Exp_11 0x4080
 413 #define Ebits 8
 414 #define Frac_mask  0x7fffff
 415 #define Frac_mask1 0xffff007f
 416 #define Ten_pmax 24
 417 #define Bletch 2
 418 #define Bndry_mask  0xffff007f
 419 #define Bndry_mask1 0xffff007f
 420 #define LSB 0x10000
 421 #define Sign_bit 0x8000
 422 #define Log2P 1
 423 #define Tiny0 0x80
 424 #define Tiny1 0
 425 #define Quick_max 15
 426 #define Int_max 15
 427 #endif /* IBM, VAX */
 428 #endif /* IEEE_Arith */
 429
 430 #ifndef IEEE_Arith
 431 #define ROUND_BIASED
 432 #else
 433 #ifdef ROUND_BIASED_without_Round_Up
 434 #undef  ROUND_BIASED
 435 #define ROUND_BIASED
 436 #endif
 437 #endif
 438
 439 #ifdef RND_PRODQUOT
 440 #define rounded_product(a,b) a = rnd_prod(a, b)
 441 #define rounded_quotient(a,b) a = rnd_quot(a, b)
 442 #ifdef KR_headers
 443 extern double rnd_prod(), rnd_quot();
 444 #else
 445 extern double rnd_prod(double, double), rnd_quot(double, double);
 446 #endif
 447 #else
 448 #define rounded_product(a,b) a *= b
 449 #define rounded_quotient(a,b) a /= b
 450 #endif
 451
 452 #define Big0 (Frac_mask1 | Exp_msk1*(DBL_MAX_EXP+Bias-1))
 453 #define Big1 0xffffffff
 454
 455 #undef  Pack_16
 456 #ifndef Pack_32
 457 #define Pack_32
 458 #endif
 459
 460 #ifdef NO_LONG_LONG
 461 #undef ULLong
 462 #ifdef Just_16
 463 #undef Pack_32
 464 #define Pack_16
 465 /* When Pack_32 is not defined, we store 16 bits per 32-bit Long.
 466  * This makes some inner loops simpler and sometimes saves work
 467  * during multiplications, but it often seems to make things slightly
 468  * slower.  Hence the default is now to store 32 bits per Long.
 469  */
 470 #endif
 471 #else   /* long long available */
 472 #ifndef Llong
 473 #define Llong long long
 474 #endif
 475 #ifndef ULLong
 476 #define ULLong unsigned Llong
 477 #endif
 478 #endif /* NO_LONG_LONG */
 479
 480 #ifdef Pack_32
 481 #define ULbits 32
 482 #define kshift 5
 483 #define kmask 31
 484 #define ALL_ON 0xffffffff
 485 #else
 486 #define ULbits 16
 487 #define kshift 4
 488 #define kmask 15
 489 #define ALL_ON 0xffff
 490 #endif
 491
 492 #ifndef MULTIPLE_THREADS
 493 #define ACQUIRE_DTOA_LOCK(n)    /*nothing*/
 494 #define FREE_DTOA_LOCK(n)       /*nothing*/
 495 #else
 496 #include "reentrant.h"
 497
 498 extern mutex_t __gdtoa_locks[2];
 499
 500 #define ACQUIRE_DTOA_LOCK(n)    \
 501         do {                                                    \
 502                 if (__isthreaded)                               \
 503                         mutex_lock(&__gdtoa_locks[n]);          \
 504         } while (/* CONSTCOND */ 0)
 505 #define FREE_DTOA_LOCK(n)       \
 506         do {                                                    \
 507                 if (__isthreaded)                               \
 508                         mutex_unlock(&__gdtoa_locks[n]);        \
 509         } while (/* CONSTCOND */ 0)
 510 #endif
 511
 512 #define Kmax (sizeof(size_t) << 3)
 513
 514  struct
 515 Bigint {
 516         struct Bigint *next;
 517         int k, maxwds, sign, wds;
 518         ULong x[1];
 519         };
 520
 521  typedef struct Bigint Bigint;
 522
 523 #ifdef NO_STRING_H
 524 #ifdef DECLARE_SIZE_T
 525 typedef unsigned int size_t;
 526 #endif
 527 extern void memcpy_D2A ANSI((void*, const void*, size_t));
 528 #define Bcopy(x,y) memcpy_D2A(&x->sign,&y->sign,y->wds*sizeof(ULong) + 2*sizeof(int))
 529 #else /* !NO_STRING_H */
 530 #define Bcopy(x,y) memcpy(&x->sign,&y->sign,y->wds*sizeof(ULong) + 2*sizeof(int))
 531 #endif /* NO_STRING_H */
 532
 533 #define Balloc          __Balloc_D2A
 534 #define Bfree           __Bfree_D2A
 535 #define ULtoQ           __ULtoQ_D2A
 536 #define ULtof           __ULtof_D2A
 537 #define ULtod           __ULtod_D2A
 538 #define ULtodd          __ULtodd_D2A
 539 #define ULtox           __ULtox_D2A
 540 #define ULtoxL          __ULtoxL_D2A
 541 #define any_on          __any_on_D2A
 542 #define b2d             __b2d_D2A
 543 #define bigtens         __bigtens_D2A
 544 #define cmp             __cmp_D2A
 545 #define copybits        __copybits_D2A
 546 #define d2b             __d2b_D2A
 547 #define decrement       __decrement_D2A
 548 #define diff            __diff_D2A
 549 #define dtoa_result     __dtoa_result_D2A
 550 #define g__fmt          __g__fmt_D2A
 551 #define gethex          __gethex_D2A
 552 #define hexdig          __hexdig_D2A
 553 #define hexdig_init_D2A __hexdig_init_D2A
 554 #define hexnan          __hexnan_D2A
 555 #define hi0bits         __hi0bits_D2A
 556 #define hi0bits_D2A     __hi0bits_D2A
 557 #define i2b             __i2b_D2A
 558 #define increment       __increment_D2A
 559 #define lo0bits         __lo0bits_D2A
 560 #define lshift          __lshift_D2A
 561 #define match           __match_D2A
 562 #define mult            __mult_D2A
 563 #define multadd         __multadd_D2A
 564 #define nrv_alloc       __nrv_alloc_D2A
 565 #define pow5mult        __pow5mult_D2A
 566 #define quorem          __quorem_D2A
 567 #define ratio           __ratio_D2A
 568 #define rshift          __rshift_D2A
 569 #define rv_alloc        __rv_alloc_D2A
 570 #define s2b             __s2b_D2A
 571 #define set_ones        __set_ones_D2A
 572 #define strcp           __strcp_D2A
 573 #define strcp_D2A       __strcp_D2A
 574 #define strtoIg         __strtoIg_D2A
 575 #define sum             __sum_D2A
 576 #define tens            __tens_D2A
 577 #define tinytens        __tinytens_D2A
 578 #define tinytens        __tinytens_D2A
 579 #define trailz          __trailz_D2A
 580 #define ulp             __ulp_D2A
 581
 582  extern char *dtoa_result;
 583  extern CONST double bigtens[], tens[], tinytens[];
 584  extern unsigned char hexdig[];
 585
 586  extern Bigint *Balloc ANSI((int));
 587  extern void Bfree ANSI((Bigint*));
 588  extern void ULtof ANSI((ULong*, ULong*, Long, int));
 589  extern void ULtod ANSI((ULong*, ULong*, Long, int));
 590  extern void ULtodd ANSI((ULong*, ULong*, Long, int));
 591  extern void ULtoQ ANSI((ULong*, ULong*, Long, int));
 592  extern void ULtox ANSI((UShort*, ULong*, Long, int));
 593  extern void ULtoxL ANSI((ULong*, ULong*, Long, int));
 594  extern ULong any_on ANSI((Bigint*, int));
 595  extern double b2d ANSI((Bigint*, int*));
 596  extern int cmp ANSI((Bigint*, Bigint*));
 597  extern void copybits ANSI((ULong*, int, Bigint*));
 598  extern Bigint *d2b ANSI((double, int*, int*));
 599  extern void decrement ANSI((Bigint*));
 600  extern Bigint *diff ANSI((Bigint*, Bigint*));
 601  extern char *dtoa ANSI((double d, int mode, int ndigits,
 602                         int *decpt, int *sign, char **rve));
 603  extern char *g__fmt ANSI((char*, char*, char*, int, ULong, size_t));
 604  extern int gethex ANSI((CONST char**, CONST FPI*, Long*, Bigint**, int, locale_t));
 605  extern void hexdig_init_D2A(Void);
 606  extern int hexnan ANSI((CONST char**, CONST FPI*, ULong*));
 607  extern int hi0bits_D2A ANSI((ULong));
 608  extern Bigint *i2b ANSI((int));
 609  extern Bigint *increment ANSI((Bigint*));
 610  extern int lo0bits ANSI((ULong*));
 611  extern Bigint *lshift ANSI((Bigint*, int));
 612  extern int match ANSI((CONST char**, CONST char*));
 613  extern Bigint *mult ANSI((Bigint*, Bigint*));
 614  extern Bigint *multadd ANSI((Bigint*, int, int));
 615  extern char *nrv_alloc ANSI((CONST char*, char **, size_t));
 616  extern Bigint *pow5mult ANSI((Bigint*, int));
 617  extern int quorem ANSI((Bigint*, Bigint*));
 618  extern double ratio ANSI((Bigint*, Bigint*));
 619  extern void rshift ANSI((Bigint*, int));
 620  extern char *rv_alloc ANSI((size_t));
 621  extern Bigint *s2b ANSI((CONST char*, int, int, ULong, size_t));
 622  extern Bigint *set_ones ANSI((Bigint*, int));
 623  extern char *strcp ANSI((char*, const char*));
 624  extern int strtoIg ANSI((CONST char*, char**, FPI*, Long*, Bigint**, int*));
 625  extern double strtod ANSI((const char *s00, char **se));
 626  extern Bigint *sum ANSI((Bigint*, Bigint*));
 627  extern int trailz ANSI((CONST Bigint*));
 628  extern double ulp ANSI((U*));
 629
 630 #ifdef __cplusplus
 631 }
 632 #endif
 633 /*
 634  * NAN_WORD0 and NAN_WORD1 are only referenced in strtod.c.  Prior to
 635  * 20050115, they used to be hard-wired here (to 0x7ff80000 and 0,
 636  * respectively), but now are determined by compiling and running
 637  * qnan.c to generate gd_qnan.h, which specifies d_QNAN0 and d_QNAN1.
 638  * Formerly gdtoaimp.h recommended supplying suitable -DNAN_WORD0=...
 639  * and -DNAN_WORD1=...  values if necessary.  This should still work.
 640  * (On HP Series 700/800 machines, -DNAN_WORD0=0x7ff40000 works.)
 641  */
 642 #ifdef IEEE_Arith
 643 #ifndef NO_INFNAN_CHECK
 644 #undef INFNAN_CHECK
 645 #define INFNAN_CHECK
 646 #endif
 647 #ifdef IEEE_BIG_ENDIAN
 648 #define _0 0
 649 #define _1 1
 650 #ifndef NAN_WORD0
 651 #define NAN_WORD0 d_QNAN0
 652 #endif
 653 #ifndef NAN_WORD1
 654 #define NAN_WORD1 d_QNAN1
 655 #endif
 656 #else
 657 #define _0 1
 658 #define _1 0
 659 #ifndef NAN_WORD0
 660 #define NAN_WORD0 d_QNAN1
 661 #endif
 662 #ifndef NAN_WORD1
 663 #define NAN_WORD1 d_QNAN0
 664 #endif
 665 #endif
 666 #else
 667 #undef INFNAN_CHECK
 668 #endif
 669
 670 #undef SI
 671 #ifdef Sudden_Underflow
 672 #define SI 1
 673 #else
 674 #define SI 0
 675 #endif
 676
 677 #endif /* GDTOAIMP_H_INCLUDED */