contrib/gdtoa/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 /* $FreeBSD: head/contrib/gdtoa/gdtoaimp.h 227753 2011-11-20 14:45:42Z theraven $ */
  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_8087 for IEEE-arithmetic machines where the least
  85  *      significant byte has the lowest address.
  86  * #define IEEE_MC68k 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 #ifndef GDTOAIMP_H_INCLUDED
 181 #define GDTOAIMP_H_INCLUDED
 182
 183 #define Long    int
 184
 185 #include "gdtoa.h"
 186 #include "gd_qnan.h"
 187 #ifdef Honor_FLT_ROUNDS
 188 #include <fenv.h>
 189 #endif
 190
 191 #ifdef DEBUG
 192 #include "stdio.h"
 193 #define Bug(x) {fprintf(stderr, "%s\n", x); exit(1);}
 194 #endif
 195
 196 #include "limits.h"
 197 #include "stdlib.h"
 198 #include "string.h"
 199 #include "libc_private.h"
 200
 201 #include "namespace.h"
 202 #include <pthread.h>
 203 #include "un-namespace.h"
 204 #include "xlocale_private.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 #define INFNAN_CHECK
 219 #define USE_LOCALE
 220 #define NO_LOCALE_CACHE
 221 #define Honor_FLT_ROUNDS
 222 #define Trust_FLT_ROUNDS
 223
 224 #undef IEEE_Arith
 225 #undef Avoid_Underflow
 226 #ifdef IEEE_MC68k
 227 #define IEEE_Arith
 228 #endif
 229 #ifdef IEEE_8087
 230 #define IEEE_Arith
 231 #endif
 232
 233 #include "errno.h"
 234 #ifdef Bad_float_h
 235
 236 #ifdef IEEE_Arith
 237 #define DBL_DIG 15
 238 #define DBL_MAX_10_EXP 308
 239 #define DBL_MAX_EXP 1024
 240 #define FLT_RADIX 2
 241 #define DBL_MAX 1.7976931348623157e+308
 242 #endif
 243
 244 #ifdef IBM
 245 #define DBL_DIG 16
 246 #define DBL_MAX_10_EXP 75
 247 #define DBL_MAX_EXP 63
 248 #define FLT_RADIX 16
 249 #define DBL_MAX 7.2370055773322621e+75
 250 #endif
 251
 252 #ifdef VAX
 253 #define DBL_DIG 16
 254 #define DBL_MAX_10_EXP 38
 255 #define DBL_MAX_EXP 127
 256 #define FLT_RADIX 2
 257 #define DBL_MAX 1.7014118346046923e+38
 258 #define n_bigtens 2
 259 #endif
 260
 261 #ifndef LONG_MAX
 262 #define LONG_MAX 2147483647
 263 #endif
 264
 265 #else /* ifndef Bad_float_h */
 266 #include "float.h"
 267 #endif /* Bad_float_h */
 268
 269 #ifdef IEEE_Arith
 270 #define Scale_Bit 0x10
 271 #define n_bigtens 5
 272 #endif
 273
 274 #ifdef IBM
 275 #define n_bigtens 3
 276 #endif
 277
 278 #ifdef VAX
 279 #define n_bigtens 2
 280 #endif
 281
 282 #ifndef __MATH_H__
 283 #include "math.h"
 284 #endif
 285
 286 #ifdef __cplusplus
 287 extern "C" {
 288 #endif
 289
 290 #if defined(IEEE_8087) + defined(IEEE_MC68k) + defined(VAX) + defined(IBM) != 1
 291 Exactly one of IEEE_8087, IEEE_MC68k, VAX, or IBM should be defined.
 292 #endif
 293
 294 typedef union { double d; ULong L[2]; } U;
 295
 296 #ifdef IEEE_8087
 297 #define word0(x) (x)->L[1]
 298 #define word1(x) (x)->L[0]
 299 #else
 300 #define word0(x) (x)->L[0]
 301 #define word1(x) (x)->L[1]
 302 #endif
 303 #define dval(x) (x)->d
 304
 305 /* The following definition of Storeinc is appropriate for MIPS processors.
 306  * An alternative that might be better on some machines is
 307  * #define Storeinc(a,b,c) (*a++ = b << 16 | c & 0xffff)
 308  */
 309 #if defined(IEEE_8087) + defined(VAX)
 310 #define Storeinc(a,b,c) (((unsigned short *)a)[1] = (unsigned short)b, \
 311 ((unsigned short *)a)[0] = (unsigned short)c, a++)
 312 #else
 313 #define Storeinc(a,b,c) (((unsigned short *)a)[0] = (unsigned short)b, \
 314 ((unsigned short *)a)[1] = (unsigned short)c, 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 #else
 418 #ifdef ROUND_BIASED_without_Round_Up
 419 #undef  ROUND_BIASED
 420 #define ROUND_BIASED
 421 #endif
 422 #endif
 423
 424 #ifdef RND_PRODQUOT
 425 #define rounded_product(a,b) a = rnd_prod(a, b)
 426 #define rounded_quotient(a,b) a = rnd_quot(a, b)
 427 #ifdef KR_headers
 428 extern double rnd_prod(), rnd_quot();
 429 #else
 430 extern double rnd_prod(double, double), rnd_quot(double, double);
 431 #endif
 432 #else
 433 #define rounded_product(a,b) a *= b
 434 #define rounded_quotient(a,b) a /= b
 435 #endif
 436
 437 #define Big0 (Frac_mask1 | Exp_msk1*(DBL_MAX_EXP+Bias-1))
 438 #define Big1 0xffffffff
 439
 440 #undef  Pack_16
 441 #ifndef Pack_32
 442 #define Pack_32
 443 #endif
 444
 445 #ifdef NO_LONG_LONG
 446 #undef ULLong
 447 #ifdef Just_16
 448 #undef Pack_32
 449 #define Pack_16
 450 /* When Pack_32 is not defined, we store 16 bits per 32-bit Long.
 451  * This makes some inner loops simpler and sometimes saves work
 452  * during multiplications, but it often seems to make things slightly
 453  * slower.  Hence the default is now to store 32 bits per Long.
 454  */
 455 #endif
 456 #else   /* long long available */
 457 #ifndef Llong
 458 #define Llong long long
 459 #endif
 460 #ifndef ULLong
 461 #define ULLong unsigned Llong
 462 #endif
 463 #endif /* NO_LONG_LONG */
 464
 465 #ifdef Pack_32
 466 #define ULbits 32
 467 #define kshift 5
 468 #define kmask 31
 469 #define ALL_ON 0xffffffff
 470 #else
 471 #define ULbits 16
 472 #define kshift 4
 473 #define kmask 15
 474 #define ALL_ON 0xffff
 475 #endif
 476
 477 #define MULTIPLE_THREADS
 478 extern pthread_mutex_t __gdtoa_locks[2];
 479 #define ACQUIRE_DTOA_LOCK(n)    do {                            \
 480         if (__isthreaded)                                       \
 481                 _pthread_mutex_lock(&__gdtoa_locks[n]);         \
 482 } while(0)
 483 #define FREE_DTOA_LOCK(n)       do {                            \
 484         if (__isthreaded)                                       \
 485                 _pthread_mutex_unlock(&__gdtoa_locks[n]);       \
 486 } while(0)
 487
 488 #define Kmax 9
 489
 490  struct
 491 Bigint {
 492         struct Bigint *next;
 493         int k, maxwds, sign, wds;
 494         ULong x[1];
 495         };
 496
 497  typedef struct Bigint Bigint;
 498
 499 #ifdef NO_STRING_H
 500 #ifdef DECLARE_SIZE_T
 501 typedef unsigned int size_t;
 502 #endif
 503 extern void memcpy_D2A ANSI((void*, const void*, size_t));
 504 #define Bcopy(x,y) memcpy_D2A(&x->sign,&y->sign,y->wds*sizeof(ULong) + 2*sizeof(int))
 505 #else /* !NO_STRING_H */
 506 #define Bcopy(x,y) memcpy(&x->sign,&y->sign,y->wds*sizeof(ULong) + 2*sizeof(int))
 507 #endif /* NO_STRING_H */
 508
 509 /*
 510  * Paranoia: Protect exported symbols, including ones in files we don't
 511  * compile right now.  The standard strtof and strtod survive.
 512  */
 513 #define dtoa            __dtoa
 514 #define gdtoa           __gdtoa
 515 #define freedtoa        __freedtoa
 516 #define strtodg         __strtodg
 517 #define g_ddfmt         __g_ddfmt
 518 #define g_dfmt          __g_dfmt
 519 #define g_ffmt          __g_ffmt
 520 #define g_Qfmt          __g_Qfmt
 521 #define g_xfmt          __g_xfmt
 522 #define g_xLfmt         __g_xLfmt
 523 #define strtoId         __strtoId
 524 #define strtoIdd        __strtoIdd
 525 #define strtoIf         __strtoIf
 526 #define strtoIQ         __strtoIQ
 527 #define strtoIx         __strtoIx
 528 #define strtoIxL        __strtoIxL
 529 #define strtord_l               __strtord_l
 530 #define strtordd        __strtordd
 531 #define strtorf         __strtorf
 532 #define strtorQ_l               __strtorQ_l
 533 #define strtorx_l               __strtorx_l
 534 #define strtorxL        __strtorxL
 535 #define strtodI         __strtodI
 536 #define strtopd         __strtopd
 537 #define strtopdd        __strtopdd
 538 #define strtopf         __strtopf
 539 #define strtopQ         __strtopQ
 540 #define strtopx         __strtopx
 541 #define strtopxL        __strtopxL
 542
 543 /* Protect gdtoa-internal symbols */
 544 #define Balloc          __Balloc_D2A
 545 #define Bfree           __Bfree_D2A
 546 #define ULtoQ           __ULtoQ_D2A
 547 #define ULtof           __ULtof_D2A
 548 #define ULtod           __ULtod_D2A
 549 #define ULtodd          __ULtodd_D2A
 550 #define ULtox           __ULtox_D2A
 551 #define ULtoxL          __ULtoxL_D2A
 552 #define any_on          __any_on_D2A
 553 #define b2d             __b2d_D2A
 554 #define bigtens         __bigtens_D2A
 555 #define cmp             __cmp_D2A
 556 #define copybits        __copybits_D2A
 557 #define d2b             __d2b_D2A
 558 #define decrement       __decrement_D2A
 559 #define diff            __diff_D2A
 560 #define dtoa_result     __dtoa_result_D2A
 561 #define g__fmt          __g__fmt_D2A
 562 #define gethex          __gethex_D2A
 563 #define hexdig          __hexdig_D2A
 564 #define hexdig_init_D2A __hexdig_init_D2A
 565 #define hexnan          __hexnan_D2A
 566 #define hi0bits         __hi0bits_D2A
 567 #define hi0bits_D2A     __hi0bits_D2A
 568 #define i2b             __i2b_D2A
 569 #define increment       __increment_D2A
 570 #define lo0bits         __lo0bits_D2A
 571 #define lshift          __lshift_D2A
 572 #define match           __match_D2A
 573 #define mult            __mult_D2A
 574 #define multadd         __multadd_D2A
 575 #define nrv_alloc       __nrv_alloc_D2A
 576 #define pow5mult        __pow5mult_D2A
 577 #define quorem          __quorem_D2A
 578 #define ratio           __ratio_D2A
 579 #define rshift          __rshift_D2A
 580 #define rv_alloc        __rv_alloc_D2A
 581 #define s2b             __s2b_D2A
 582 #define set_ones        __set_ones_D2A
 583 #define strcp           __strcp_D2A
 584 #define strcp_D2A       __strcp_D2A
 585 #define strtoIg         __strtoIg_D2A
 586 #define sum             __sum_D2A
 587 #define tens            __tens_D2A
 588 #define tinytens        __tinytens_D2A
 589 #define tinytens        __tinytens_D2A
 590 #define trailz          __trailz_D2A
 591 #define ulp             __ulp_D2A
 592
 593  extern char *dtoa_result;
 594  extern CONST double bigtens[], tens[], tinytens[];
 595  extern unsigned char hexdig[];
 596
 597  extern Bigint *Balloc ANSI((int));
 598  extern void Bfree ANSI((Bigint*));
 599  extern void ULtof ANSI((ULong*, ULong*, Long, int));
 600  extern void ULtod ANSI((ULong*, ULong*, Long, int));
 601  extern void ULtodd ANSI((ULong*, ULong*, Long, int));
 602  extern void ULtoQ ANSI((ULong*, ULong*, Long, int));
 603  extern void ULtox ANSI((UShort*, ULong*, Long, int));
 604  extern void ULtoxL ANSI((ULong*, ULong*, Long, int));
 605  extern ULong any_on ANSI((Bigint*, int));
 606  extern double b2d ANSI((Bigint*, int*));
 607  extern int cmp ANSI((Bigint*, Bigint*));
 608  extern void copybits ANSI((ULong*, int, Bigint*));
 609  extern Bigint *d2b ANSI((double, int*, int*));
 610  extern void decrement ANSI((Bigint*));
 611  extern Bigint *diff ANSI((Bigint*, Bigint*));
 612  extern char *dtoa ANSI((double d, int mode, int ndigits,
 613                         int *decpt, int *sign, char **rve));
 614  extern void freedtoa ANSI((char*));
 615  extern char *gdtoa ANSI((FPI *fpi, int be, ULong *bits, int *kindp,
 616                           int mode, int ndigits, int *decpt, char **rve));
 617  extern char *g__fmt ANSI((char*, char*, char*, int, ULong, size_t));
 618  extern int gethex ANSI((CONST char**, FPI*, Long*, Bigint**, int));
 619  extern void hexdig_init_D2A(Void);
 620  extern int hexnan ANSI((CONST char**, FPI*, ULong*));
 621  extern int hi0bits ANSI((ULong));
 622  extern Bigint *i2b ANSI((int));
 623  extern Bigint *increment ANSI((Bigint*));
 624  extern int lo0bits ANSI((ULong*));
 625  extern Bigint *lshift ANSI((Bigint*, int));
 626  extern int match ANSI((CONST char**, char*));
 627  extern Bigint *mult ANSI((Bigint*, Bigint*));
 628  extern Bigint *multadd ANSI((Bigint*, int, int));
 629  extern char *nrv_alloc ANSI((char*, char **, int));
 630  extern Bigint *pow5mult ANSI((Bigint*, int));
 631  extern int quorem ANSI((Bigint*, Bigint*));
 632  extern double ratio ANSI((Bigint*, Bigint*));
 633  extern void rshift ANSI((Bigint*, int));
 634  extern char *rv_alloc ANSI((int));
 635  extern Bigint *s2b ANSI((CONST char*, int, int, ULong, int));
 636  extern Bigint *set_ones ANSI((Bigint*, int));
 637  extern char *strcp ANSI((char*, const char*));
 638  extern int strtodg_l ANSI((CONST char*, char**, FPI*, Long*, ULong*, locale_t));
 639
 640  extern int strtoId ANSI((CONST char *, char **, double *, double *));
 641  extern int strtoIdd ANSI((CONST char *, char **, double *, double *));
 642  extern int strtoIf ANSI((CONST char *, char **, float *, float *));
 643  extern int strtoIg ANSI((CONST char*, char**, FPI*, Long*, Bigint**, int*));
 644  extern int strtoIQ ANSI((CONST char *, char **, void *, void *));
 645  extern int strtoIx ANSI((CONST char *, char **, void *, void *));
 646  extern int strtoIxL ANSI((CONST char *, char **, void *, void *));
 647  extern double strtod ANSI((const char *s00, char **se));
 648  extern double strtod_l ANSI((const char *s00, char **se, locale_t));
 649  extern int strtopQ ANSI((CONST char *, char **, Void *));
 650  extern int strtopf ANSI((CONST char *, char **, float *));
 651  extern int strtopd ANSI((CONST char *, char **, double *));
 652  extern int strtopdd ANSI((CONST char *, char **, double *));
 653  extern int strtopx ANSI((CONST char *, char **, Void *));
 654  extern int strtopxL ANSI((CONST char *, char **, Void *));
 655  extern int strtord_l ANSI((CONST char *, char **, int, double *, locale_t));
 656  extern int strtordd ANSI((CONST char *, char **, int, double *));
 657  extern int strtorf ANSI((CONST char *, char **, int, float *));
 658  extern int strtorQ_l ANSI((CONST char *, char **, int, void *, locale_t));
 659  extern int strtorx_l ANSI((CONST char *, char **, int, void *, locale_t));
 660  extern int strtorxL ANSI((CONST char *, char **, int, void *));
 661  extern Bigint *sum ANSI((Bigint*, Bigint*));
 662  extern int trailz ANSI((Bigint*));
 663  extern double ulp ANSI((U*));
 664
 665 #ifdef __cplusplus
 666 }
 667 #endif
 668 /*
 669  * NAN_WORD0 and NAN_WORD1 are only referenced in strtod.c.  Prior to
 670  * 20050115, they used to be hard-wired here (to 0x7ff80000 and 0,
 671  * respectively), but now are determined by compiling and running
 672  * qnan.c to generate gd_qnan.h, which specifies d_QNAN0 and d_QNAN1.
 673  * Formerly gdtoaimp.h recommended supplying suitable -DNAN_WORD0=...
 674  * and -DNAN_WORD1=...  values if necessary.  This should still work.
 675  * (On HP Series 700/800 machines, -DNAN_WORD0=0x7ff40000 works.)
 676  */
 677 #ifdef IEEE_Arith
 678 #ifndef NO_INFNAN_CHECK
 679 #undef INFNAN_CHECK
 680 #define INFNAN_CHECK
 681 #endif
 682 #ifdef IEEE_MC68k
 683 #define _0 0
 684 #define _1 1
 685 #ifndef NAN_WORD0
 686 #define NAN_WORD0 d_QNAN0
 687 #endif
 688 #ifndef NAN_WORD1
 689 #define NAN_WORD1 d_QNAN1
 690 #endif
 691 #else
 692 #define _0 1
 693 #define _1 0
 694 #ifndef NAN_WORD0
 695 #define NAN_WORD0 d_QNAN1
 696 #endif
 697 #ifndef NAN_WORD1
 698 #define NAN_WORD1 d_QNAN0
 699 #endif
 700 #endif
 701 #else
 702 #undef INFNAN_CHECK
 703 #endif
 704
 705 #undef SI
 706 #ifdef Sudden_Underflow
 707 #define SI 1
 708 #else
 709 #define SI 0
 710 #endif
 711
 712 #endif /* GDTOAIMP_H_INCLUDED */