1 /**************************************************************** 2 3 The author of this software is David M. Gay. 4 5 Copyright (C) 1998-2000 by Lucent Technologies 6 All Rights Reserved 7 8 Permission to use, copy, modify, and distribute this software and 9 its documentation for any purpose and without fee is hereby 10 granted, provided that the above copyright notice appear in all 11 copies and that both that the copyright notice and this 12 permission notice and warranty disclaimer appear in supporting 13 documentation, and that the name of Lucent or any of its entities 14 not be used in advertising or publicity pertaining to 15 distribution of the software without specific, written prior 16 permission. 17 18 LUCENT DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE, 19 INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS. 20 IN NO EVENT SHALL LUCENT OR ANY OF ITS ENTITIES BE LIABLE FOR ANY 21 SPECIAL, INDIRECT OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES 22 WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER 23 IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, 24 ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF 25 THIS SOFTWARE. 26 27 ****************************************************************/ 28 29 /* This is a variation on dtoa.c that converts arbitary binary 30 floating-point formats to and from decimal notation. It uses 31 double-precision arithmetic internally, so there are still 32 various #ifdefs that adapt the calculations to the native 33 double-precision arithmetic (any of IEEE, VAX D_floating, 34 or IBM mainframe arithmetic). 35 36 Please send bug reports to David M. Gay (dmg at acm dot org, 37 with " at " changed at "@" and " dot " changed to "."). 38 */ 39 40 /* On a machine with IEEE extended-precision registers, it is 41 * necessary to specify double-precision (53-bit) rounding precision 42 * before invoking strtod or dtoa. If the machine uses (the equivalent 43 * of) Intel 80x87 arithmetic, the call 44 * _control87(PC_53, MCW_PC); 45 * does this with many compilers. Whether this or another call is 46 * appropriate depends on the compiler; for this to work, it may be 47 * necessary to #include "float.h" or another system-dependent header 48 * file. 49 */ 50 51 /* strtod for IEEE-, VAX-, and IBM-arithmetic machines. 52 * 53 * This strtod returns a nearest machine number to the input decimal 54 * string (or sets errno to ERANGE). With IEEE arithmetic, ties are 55 * broken by the IEEE round-even rule. Otherwise ties are broken by 56 * biased rounding (add half and chop). 57 * 58 * Inspired loosely by William D. Clinger's paper "How to Read Floating 59 * Point Numbers Accurately" [Proc. ACM SIGPLAN '90, pp. 112-126]. 60 * 61 * Modifications: 62 * 63 * 1. We only require IEEE, IBM, or VAX double-precision 64 * arithmetic (not IEEE double-extended). 65 * 2. We get by with floating-point arithmetic in a case that 66 * Clinger missed -- when we're computing d * 10^n 67 * for a small integer d and the integer n is not too 68 * much larger than 22 (the maximum integer k for which 69 * we can represent 10^k exactly), we may be able to 70 * compute (d*10^k) * 10^(e-k) with just one roundoff. 71 * 3. Rather than a bit-at-a-time adjustment of the binary 72 * result in the hard case, we use floating-point 73 * arithmetic to determine the adjustment to within 74 * one bit; only in really hard cases do we need to 75 * compute a second residual. 76 * 4. Because of 3., we don't need a large table of powers of 10 77 * for ten-to-e (just some small tables, e.g. of 10^k 78 * for 0 <= k <= 22). 79 */ 80 81 /* 82 * #define IEEE_8087 for IEEE-arithmetic machines where the least 83 * significant byte has the lowest address. 84 * #define IEEE_MC68k for IEEE-arithmetic machines where the most 85 * significant byte has the lowest address. 86 * #define Long int on machines with 32-bit ints and 64-bit longs. 87 * #define Sudden_Underflow for IEEE-format machines without gradual 88 * underflow (i.e., that flush to zero on underflow). 89 * #define IBM for IBM mainframe-style floating-point arithmetic. 90 * #define VAX for VAX-style floating-point arithmetic (D_floating). 91 * #define No_leftright to omit left-right logic in fast floating-point 92 * computation of dtoa. 93 * #define Check_FLT_ROUNDS if FLT_ROUNDS can assume the values 2 or 3. 94 * #define RND_PRODQUOT to use rnd_prod and rnd_quot (assembly routines 95 * that use extended-precision instructions to compute rounded 96 * products and quotients) with IBM. 97 * #define ROUND_BIASED for IEEE-format with biased rounding. 98 * #define Inaccurate_Divide for IEEE-format with correctly rounded 99 * products but inaccurate quotients, e.g., for Intel i860. 100 * #define NO_LONG_LONG on machines that do not have a "long long" 101 * integer type (of >= 64 bits). On such machines, you can 102 * #define Just_16 to store 16 bits per 32-bit Long when doing 103 * high-precision integer arithmetic. Whether this speeds things 104 * up or slows things down depends on the machine and the number 105 * being converted. If long long is available and the name is 106 * something other than "long long", #define Llong to be the name, 107 * and if "unsigned Llong" does not work as an unsigned version of 108 * Llong, #define #ULLong to be the corresponding unsigned type. 109 * #define KR_headers for old-style C function headers. 110 * #define Bad_float_h if your system lacks a float.h or if it does not 111 * define some or all of DBL_DIG, DBL_MAX_10_EXP, DBL_MAX_EXP, 112 * FLT_RADIX, FLT_ROUNDS, and DBL_MAX. 113 * #define MALLOC your_malloc, where your_malloc(n) acts like malloc(n) 114 * if memory is available and otherwise does something you deem 115 * appropriate. If MALLOC is undefined, malloc will be invoked 116 * directly -- and assumed always to succeed. 117 * #define Omit_Private_Memory to omit logic (added Jan. 1998) for making 118 * memory allocations from a private pool of memory when possible. 119 * When used, the private pool is PRIVATE_MEM bytes long: 2304 bytes, 120 * unless #defined to be a different length. This default length 121 * suffices to get rid of MALLOC calls except for unusual cases, 122 * such as decimal-to-binary conversion of a very long string of 123 * digits. When converting IEEE double precision values, the 124 * longest string gdtoa can return is about 751 bytes long. For 125 * conversions by strtod of strings of 800 digits and all gdtoa 126 * conversions of IEEE doubles in single-threaded executions with 127 * 8-byte pointers, PRIVATE_MEM >= 7400 appears to suffice; with 128 * 4-byte pointers, PRIVATE_MEM >= 7112 appears adequate. 129 * #define NO_INFNAN_CHECK if you do not wish to have INFNAN_CHECK 130 * #defined automatically on IEEE systems. On such systems, 131 * when INFNAN_CHECK is #defined, strtod checks 132 * for 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 (optionally 136 * preceded by 0x or 0X) and spaces; if there is only one string 137 * of hexadecimal digits, it is taken for the fraction bits of the 138 * resulting NaN; if there are two or more strings of hexadecimal 139 * digits, each string is assigned to the next available sequence 140 * of 32-bit words of fractions bits (starting with the most 141 * significant), right-aligned in each sequence. 142 * Unless GDTOA_NON_PEDANTIC_NANCHECK is #defined, input "NaN(...)" 143 * is consumed even when ... has the wrong form (in which case the 144 * "(...)" is consumed but ignored). 145 * #define MULTIPLE_THREADS if the system offers preemptively scheduled 146 * multiple threads. In this case, you must provide (or suitably 147 * #define) two locks, acquired by ACQUIRE_DTOA_LOCK(n) and freed 148 * by FREE_DTOA_LOCK(n) for n = 0 or 1. (The second lock, accessed 149 * in pow5mult, ensures lazy evaluation of only one copy of high 150 * powers of 5; omitting this lock would introduce a small 151 * probability of wasting memory, but would otherwise be harmless.) 152 * You must also invoke freedtoa(s) to free the value s returned by 153 * dtoa. You may do so whether or not MULTIPLE_THREADS is #defined. 154 * #define IMPRECISE_INEXACT if you do not care about the setting of 155 * the STRTOG_Inexact bits in the special case of doing IEEE double 156 * precision conversions (which could also be done by the strtod in 157 * dtoa.c). 158 * #define NO_HEX_FP to disable recognition of C9x's hexadecimal 159 * floating-point constants. 160 * #define -DNO_ERRNO to suppress setting errno (in strtod.c and 161 * strtodg.c). 162 * #define NO_STRING_H to use private versions of memcpy. 163 * On some K&R systems, it may also be necessary to 164 * #define DECLARE_SIZE_T in this case. 165 * #define YES_ALIAS to permit aliasing certain double values with 166 * arrays of ULongs. This leads to slightly better code with 167 * some compilers and was always used prior to 19990916, but it 168 * is not strictly legal and can cause trouble with aggressively 169 * optimizing compilers (e.g., gcc 2.95.1 under -O2). 170 * #define USE_LOCALE to use the current locale's decimal_point value. 171 */ 172 173 #ifndef GDTOAIMP_H_INCLUDED 174 #define GDTOAIMP_H_INCLUDED 175 #include "gdtoa.h" 176 #include "gd_qnan.h" 177 #ifdef Honor_FLT_ROUNDS 178 #include <fenv.h> 179 #endif 180 181 #ifdef DEBUG 182 #include "stdio.h" 183 #define Bug(x) {fprintf(stderr, "%s\n", x); exit(1);} 184 #endif 185 186 #include "stdlib.h" 187 #include "string.h" 188 189 #ifdef KR_headers 190 #define Char char 191 #else 192 #define Char void 193 #endif 194 195 #ifdef MALLOC 196 extern Char *MALLOC ANSI((size_t)); 197 #else 198 #define MALLOC malloc 199 #endif 200 201 #undef IEEE_Arith 202 #undef Avoid_Underflow 203 #ifdef IEEE_MC68k 204 #define IEEE_Arith 205 #endif 206 #ifdef IEEE_8087 207 #define IEEE_Arith 208 #endif 209 210 #include "errno.h" 211 #ifdef Bad_float_h 212 213 #ifdef IEEE_Arith 214 #define DBL_DIG 15 215 #define DBL_MAX_10_EXP 308 216 #define DBL_MAX_EXP 1024 217 #define FLT_RADIX 2 218 #define DBL_MAX 1.7976931348623157e+308 219 #endif 220 221 #ifdef IBM 222 #define DBL_DIG 16 223 #define DBL_MAX_10_EXP 75 224 #define DBL_MAX_EXP 63 225 #define FLT_RADIX 16 226 #define DBL_MAX 7.2370055773322621e+75 227 #endif 228 229 #ifdef VAX 230 #define DBL_DIG 16 231 #define DBL_MAX_10_EXP 38 232 #define DBL_MAX_EXP 127 233 #define FLT_RADIX 2 234 #define DBL_MAX 1.7014118346046923e+38 235 #define n_bigtens 2 236 #endif 237 238 #ifndef LONG_MAX 239 #define LONG_MAX 2147483647 240 #endif 241 242 #else /* ifndef Bad_float_h */ 243 #include "float.h" 244 #endif /* Bad_float_h */ 245 246 #ifdef IEEE_Arith 247 #define Scale_Bit 0x10 248 #define n_bigtens 5 249 #endif 250 251 #ifdef IBM 252 #define n_bigtens 3 253 #endif 254 255 #ifdef VAX 256 #define n_bigtens 2 257 #endif 258 259 #ifndef __MATH_H__ 260 #include "math.h" 261 #endif 262 263 #ifdef __cplusplus 264 extern "C" { 265 #endif 266 267 #if defined(IEEE_8087) + defined(IEEE_MC68k) + defined(VAX) + defined(IBM) != 1 268 Exactly one of IEEE_8087, IEEE_MC68k, VAX, or IBM should be defined. 269 #endif 270 271 typedef union { double d; ULong L[2]; } U; 272 273 #ifdef YES_ALIAS 274 #define dval(x) x 275 #ifdef IEEE_8087 276 #define word0(x) ((ULong *)&x)[1] 277 #define word1(x) ((ULong *)&x)[0] 278 #else 279 #define word0(x) ((ULong *)&x)[0] 280 #define word1(x) ((ULong *)&x)[1] 281 #endif 282 #else /* !YES_ALIAS */ 283 #ifdef IEEE_8087 284 #define word0(x) ((U*)&x)->L[1] 285 #define word1(x) ((U*)&x)->L[0] 286 #else 287 #define word0(x) ((U*)&x)->L[0] 288 #define word1(x) ((U*)&x)->L[1] 289 #endif 290 #define dval(x) ((U*)&x)->d 291 #endif /* YES_ALIAS */ 292 293 /* The following definition of Storeinc is appropriate for MIPS processors. 294 * An alternative that might be better on some machines is 295 * #define Storeinc(a,b,c) (*a++ = b << 16 | c & 0xffff) 296 */ 297 #if defined(IEEE_8087) + defined(VAX) 298 #define Storeinc(a,b,c) (((unsigned short *)a)[1] = (unsigned short)b, \ 299 ((unsigned short *)a)[0] = (unsigned short)c, a++) 300 #else 301 #define Storeinc(a,b,c) (((unsigned short *)a)[0] = (unsigned short)b, \ 302 ((unsigned short *)a)[1] = (unsigned short)c, a++) 303 #endif 304 305 /* #define P DBL_MANT_DIG */ 306 /* Ten_pmax = floor(P*log(2)/log(5)) */ 307 /* Bletch = (highest power of 2 < DBL_MAX_10_EXP) / 16 */ 308 /* Quick_max = floor((P-1)*log(FLT_RADIX)/log(10) - 1) */ 309 /* Int_max = floor(P*log(FLT_RADIX)/log(10) - 1) */ 310 311 #ifdef IEEE_Arith 312 #define Exp_shift 20 313 #define Exp_shift1 20 314 #define Exp_msk1 0x100000 315 #define Exp_msk11 0x100000 316 #define Exp_mask 0x7ff00000 317 #define P 53 318 #define Bias 1023 319 #define Emin (-1022) 320 #define Exp_1 0x3ff00000 321 #define Exp_11 0x3ff00000 322 #define Ebits 11 323 #define Frac_mask 0xfffff 324 #define Frac_mask1 0xfffff 325 #define Ten_pmax 22 326 #define Bletch 0x10 327 #define Bndry_mask 0xfffff 328 #define Bndry_mask1 0xfffff 329 #define LSB 1 330 #define Sign_bit 0x80000000 331 #define Log2P 1 332 #define Tiny0 0 333 #define Tiny1 1 334 #define Quick_max 14 335 #define Int_max 14 336 337 #ifndef Flt_Rounds 338 #ifdef FLT_ROUNDS 339 #define Flt_Rounds FLT_ROUNDS 340 #else 341 #define Flt_Rounds 1 342 #endif 343 #endif /*Flt_Rounds*/ 344 345 #else /* ifndef IEEE_Arith */ 346 #undef Sudden_Underflow 347 #define Sudden_Underflow 348 #ifdef IBM 349 #undef Flt_Rounds 350 #define Flt_Rounds 0 351 #define Exp_shift 24 352 #define Exp_shift1 24 353 #define Exp_msk1 0x1000000 354 #define Exp_msk11 0x1000000 355 #define Exp_mask 0x7f000000 356 #define P 14 357 #define Bias 65 358 #define Exp_1 0x41000000 359 #define Exp_11 0x41000000 360 #define Ebits 8 /* exponent has 7 bits, but 8 is the right value in b2d */ 361 #define Frac_mask 0xffffff 362 #define Frac_mask1 0xffffff 363 #define Bletch 4 364 #define Ten_pmax 22 365 #define Bndry_mask 0xefffff 366 #define Bndry_mask1 0xffffff 367 #define LSB 1 368 #define Sign_bit 0x80000000 369 #define Log2P 4 370 #define Tiny0 0x100000 371 #define Tiny1 0 372 #define Quick_max 14 373 #define Int_max 15 374 #else /* VAX */ 375 #undef Flt_Rounds 376 #define Flt_Rounds 1 377 #define Exp_shift 23 378 #define Exp_shift1 7 379 #define Exp_msk1 0x80 380 #define Exp_msk11 0x800000 381 #define Exp_mask 0x7f80 382 #define P 56 383 #define Bias 129 384 #define Exp_1 0x40800000 385 #define Exp_11 0x4080 386 #define Ebits 8 387 #define Frac_mask 0x7fffff 388 #define Frac_mask1 0xffff007f 389 #define Ten_pmax 24 390 #define Bletch 2 391 #define Bndry_mask 0xffff007f 392 #define Bndry_mask1 0xffff007f 393 #define LSB 0x10000 394 #define Sign_bit 0x8000 395 #define Log2P 1 396 #define Tiny0 0x80 397 #define Tiny1 0 398 #define Quick_max 15 399 #define Int_max 15 400 #endif /* IBM, VAX */ 401 #endif /* IEEE_Arith */ 402 403 #ifndef IEEE_Arith 404 #define ROUND_BIASED 405 #endif 406 407 #ifdef RND_PRODQUOT 408 #define rounded_product(a,b) a = rnd_prod(a, b) 409 #define rounded_quotient(a,b) a = rnd_quot(a, b) 410 #ifdef KR_headers 411 extern double rnd_prod(), rnd_quot(); 412 #else 413 extern double rnd_prod(double, double), rnd_quot(double, double); 414 #endif 415 #else 416 #define rounded_product(a,b) a *= b 417 #define rounded_quotient(a,b) a /= b 418 #endif 419 420 #define Big0 (Frac_mask1 | Exp_msk1*(DBL_MAX_EXP+Bias-1)) 421 #define Big1 0xffffffff 422 423 #undef Pack_16 424 #ifndef Pack_32 425 #define Pack_32 426 #endif 427 428 #ifdef NO_LONG_LONG 429 #undef ULLong 430 #ifdef Just_16 431 #undef Pack_32 432 #define Pack_16 433 /* When Pack_32 is not defined, we store 16 bits per 32-bit Long. 434 * This makes some inner loops simpler and sometimes saves work 435 * during multiplications, but it often seems to make things slightly 436 * slower. Hence the default is now to store 32 bits per Long. 437 */ 438 #endif 439 #else /* long long available */ 440 #ifndef Llong 441 #define Llong long long 442 #endif 443 #ifndef ULLong 444 #define ULLong unsigned Llong 445 #endif 446 #endif /* NO_LONG_LONG */ 447 448 #ifdef Pack_32 449 #define ULbits 32 450 #define kshift 5 451 #define kmask 31 452 #define ALL_ON 0xffffffff 453 #else 454 #define ULbits 16 455 #define kshift 4 456 #define kmask 15 457 #define ALL_ON 0xffff 458 #endif 459 460 #ifndef MULTIPLE_THREADS 461 #define ACQUIRE_DTOA_LOCK(n) /*nothing*/ 462 #define FREE_DTOA_LOCK(n) /*nothing*/ 463 #endif 464 465 #define Kmax 15 466 467 struct 468 Bigint { 469 struct Bigint *next; 470 int k, maxwds, sign, wds; 471 ULong x[1]; 472 }; 473 474 typedef struct Bigint Bigint; 475 476 #ifdef NO_STRING_H 477 #ifdef DECLARE_SIZE_T 478 typedef unsigned int size_t; 479 #endif 480 extern void memcpy_D2A ANSI((void*, const void*, size_t)); 481 #define Bcopy(x,y) memcpy_D2A(&x->sign,&y->sign,y->wds*sizeof(ULong) + 2*sizeof(int)) 482 #else /* !NO_STRING_H */ 483 #define Bcopy(x,y) memcpy(&x->sign,&y->sign,y->wds*sizeof(ULong) + 2*sizeof(int)) 484 #endif /* NO_STRING_H */ 485 486 #define Balloc Balloc_D2A 487 #define Bfree Bfree_D2A 488 #define ULtoQ ULtoQ_D2A 489 #define ULtof ULtof_D2A 490 #define ULtod ULtod_D2A 491 #define ULtodd ULtodd_D2A 492 #define ULtox ULtox_D2A 493 #define ULtoxL ULtoxL_D2A 494 #define any_on any_on_D2A 495 #define b2d b2d_D2A 496 #define bigtens bigtens_D2A 497 #define cmp cmp_D2A 498 #define copybits copybits_D2A 499 #define d2b d2b_D2A 500 #define decrement decrement_D2A 501 #define diff diff_D2A 502 #define dtoa_result dtoa_result_D2A 503 #define g__fmt g__fmt_D2A 504 #define gethex gethex_D2A 505 #define hexdig hexdig_D2A 506 #define hexnan hexnan_D2A 507 #define hi0bits(x) hi0bits_D2A((ULong)(x)) 508 #define i2b i2b_D2A 509 #define increment increment_D2A 510 #define lo0bits lo0bits_D2A 511 #define lshift lshift_D2A 512 #define match match_D2A 513 #define mult mult_D2A 514 #define multadd multadd_D2A 515 #define nrv_alloc nrv_alloc_D2A 516 #define pow5mult pow5mult_D2A 517 #define quorem quorem_D2A 518 #define ratio ratio_D2A 519 #define rshift rshift_D2A 520 #define rv_alloc rv_alloc_D2A 521 #define s2b s2b_D2A 522 #define set_ones set_ones_D2A 523 #define strcp strcp_D2A 524 #define strtoIg strtoIg_D2A 525 #define sum sum_D2A 526 #define tens tens_D2A 527 #define tinytens tinytens_D2A 528 #define tinytens tinytens_D2A 529 #define trailz trailz_D2A 530 #define ulp ulp_D2A 531 532 extern char *dtoa_result; 533 extern CONST double bigtens[], tens[], tinytens[]; 534 extern unsigned char hexdig[]; 535 536 extern Bigint *Balloc ANSI((int)); 537 extern void Bfree ANSI((Bigint*)); 538 extern void ULtof ANSI((ULong*, ULong*, Long, int)); 539 extern void ULtod ANSI((ULong*, ULong*, Long, int)); 540 extern void ULtodd ANSI((ULong*, ULong*, Long, int)); 541 extern void ULtoQ ANSI((ULong*, ULong*, Long, int)); 542 extern void ULtox ANSI((UShort*, ULong*, Long, int)); 543 extern void ULtoxL ANSI((ULong*, ULong*, Long, int)); 544 extern ULong any_on ANSI((Bigint*, int)); 545 extern double b2d ANSI((Bigint*, int*)); 546 extern int cmp ANSI((Bigint*, Bigint*)); 547 extern void copybits ANSI((ULong*, int, Bigint*)); 548 extern Bigint *d2b ANSI((double, int*, int*)); 549 extern void decrement ANSI((Bigint*)); 550 extern Bigint *diff ANSI((Bigint*, Bigint*)); 551 extern char *dtoa ANSI((double d, int mode, int ndigits, 552 int *decpt, int *sign, char **rve)); 553 extern char *g__fmt ANSI((char*, char*, char*, int, ULong, size_t)); 554 extern int gethex ANSI((CONST char**, FPI*, Long*, Bigint**, int)); 555 extern void hexdig_init_D2A(Void); 556 extern int hexnan ANSI((CONST char**, FPI*, ULong*)); 557 extern int hi0bits_D2A ANSI((ULong)); 558 extern Bigint *i2b ANSI((int)); 559 extern Bigint *increment ANSI((Bigint*)); 560 extern int lo0bits ANSI((ULong*)); 561 extern Bigint *lshift ANSI((Bigint*, int)); 562 extern int match ANSI((CONST char**, char*)); 563 extern Bigint *mult ANSI((Bigint*, Bigint*)); 564 extern Bigint *multadd ANSI((Bigint*, int, int)); 565 extern char *nrv_alloc ANSI((char*, char **, int)); 566 extern Bigint *pow5mult ANSI((Bigint*, int)); 567 extern int quorem ANSI((Bigint*, Bigint*)); 568 extern double ratio ANSI((Bigint*, Bigint*)); 569 extern void rshift ANSI((Bigint*, int)); 570 extern char *rv_alloc ANSI((int)); 571 extern Bigint *s2b ANSI((CONST char*, int, int, ULong, int)); 572 extern Bigint *set_ones ANSI((Bigint*, int)); 573 extern char *strcp ANSI((char*, const char*)); 574 extern int strtoIg ANSI((CONST char*, char**, FPI*, Long*, Bigint**, int*)); 575 extern double strtod ANSI((const char *s00, char **se)); 576 extern Bigint *sum ANSI((Bigint*, Bigint*)); 577 extern int trailz ANSI((Bigint*)); 578 extern double ulp ANSI((double)); 579 580 #ifdef __cplusplus 581 } 582 #endif 583 /* 584 * NAN_WORD0 and NAN_WORD1 are only referenced in strtod.c. Prior to 585 * 20050115, they used to be hard-wired here (to 0x7ff80000 and 0, 586 * respectively), but now are determined by compiling and running 587 * qnan.c to generate gd_qnan.h, which specifies d_QNAN0 and d_QNAN1. 588 * Formerly gdtoaimp.h recommended supplying suitable -DNAN_WORD0=... 589 * and -DNAN_WORD1=... values if necessary. This should still work. 590 * (On HP Series 700/800 machines, -DNAN_WORD0=0x7ff40000 works.) 591 */ 592 #ifdef IEEE_Arith 593 #ifndef NO_INFNAN_CHECK 594 #undef INFNAN_CHECK 595 #define INFNAN_CHECK 596 #endif 597 #ifdef IEEE_MC68k 598 #define _0 0 599 #define _1 1 600 #ifndef NAN_WORD0 601 #define NAN_WORD0 d_QNAN0 602 #endif 603 #ifndef NAN_WORD1 604 #define NAN_WORD1 d_QNAN1 605 #endif 606 #else 607 #define _0 1 608 #define _1 0 609 #ifndef NAN_WORD0 610 #define NAN_WORD0 d_QNAN1 611 #endif 612 #ifndef NAN_WORD1 613 #define NAN_WORD1 d_QNAN0 614 #endif 615 #endif 616 #else 617 #undef INFNAN_CHECK 618 #endif 619 620 #undef SI 621 #ifdef Sudden_Underflow 622 #define SI 1 623 #else 624 #define SI 0 625 #endif 626 627 #endif /* GDTOAIMP_H_INCLUDED */ 628