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 175 176 #define Long int 177 178 #define USE_LOCALE 179 #define Honor_FLT_ROUNDS 180 181 #include "gdtoa.h" 182 #include "gd_qnan.h" 183 #ifdef Honor_FLT_ROUNDS 184 #include <fenv.h> 185 #endif 186 187 #ifdef DEBUG 188 #include "stdio.h" 189 #define Bug(x) {fprintf(stderr, "%s\n", x); exit(1);} 190 #endif 191 192 #include "limits.h" 193 #include "stdlib.h" 194 #include "string.h" 195 #include "libc_private.h" 196 197 #include "namespace.h" 198 #include <pthread.h> 199 #include "un-namespace.h" 200 201 #ifdef KR_headers 202 #define Char char 203 #else 204 #define Char void 205 #endif 206 207 #ifdef MALLOC 208 extern Char *MALLOC ANSI((size_t)); 209 #else 210 #define MALLOC malloc 211 #endif 212 213 #undef IEEE_Arith 214 #undef Avoid_Underflow 215 #ifdef IEEE_MC68k 216 #define IEEE_Arith 217 #endif 218 #ifdef IEEE_8087 219 #define IEEE_Arith 220 #endif 221 222 #include "errno.h" 223 #ifdef Bad_float_h 224 225 #ifdef IEEE_Arith 226 #define DBL_DIG 15 227 #define DBL_MAX_10_EXP 308 228 #define DBL_MAX_EXP 1024 229 #define FLT_RADIX 2 230 #define DBL_MAX 1.7976931348623157e+308 231 #endif 232 233 #ifdef IBM 234 #define DBL_DIG 16 235 #define DBL_MAX_10_EXP 75 236 #define DBL_MAX_EXP 63 237 #define FLT_RADIX 16 238 #define DBL_MAX 7.2370055773322621e+75 239 #endif 240 241 #ifdef VAX 242 #define DBL_DIG 16 243 #define DBL_MAX_10_EXP 38 244 #define DBL_MAX_EXP 127 245 #define FLT_RADIX 2 246 #define DBL_MAX 1.7014118346046923e+38 247 #define n_bigtens 2 248 #endif 249 250 #ifndef LONG_MAX 251 #define LONG_MAX 2147483647 252 #endif 253 254 #else /* ifndef Bad_float_h */ 255 #include "float.h" 256 #endif /* Bad_float_h */ 257 258 #ifdef IEEE_Arith 259 #define Scale_Bit 0x10 260 #define n_bigtens 5 261 #endif 262 263 #ifdef IBM 264 #define n_bigtens 3 265 #endif 266 267 #ifdef VAX 268 #define n_bigtens 2 269 #endif 270 271 #ifndef __MATH_H__ 272 #include "math.h" 273 #endif 274 275 #ifdef __cplusplus 276 extern "C" { 277 #endif 278 279 #if defined(IEEE_8087) + defined(IEEE_MC68k) + defined(VAX) + defined(IBM) != 1 280 Exactly one of IEEE_8087, IEEE_MC68k, VAX, or IBM should be defined. 281 #endif 282 283 typedef union { double d; ULong L[2]; } U; 284 285 #ifdef YES_ALIAS 286 #define dval(x) x 287 #ifdef IEEE_8087 288 #define word0(x) ((ULong *)&x)[1] 289 #define word1(x) ((ULong *)&x)[0] 290 #else 291 #define word0(x) ((ULong *)&x)[0] 292 #define word1(x) ((ULong *)&x)[1] 293 #endif 294 #else /* !YES_ALIAS */ 295 #ifdef IEEE_8087 296 #define word0(x) ((U*)&x)->L[1] 297 #define word1(x) ((U*)&x)->L[0] 298 #else 299 #define word0(x) ((U*)&x)->L[0] 300 #define word1(x) ((U*)&x)->L[1] 301 #endif 302 #define dval(x) ((U*)&x)->d 303 #endif /* YES_ALIAS */ 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 #endif 418 419 #ifdef RND_PRODQUOT 420 #define rounded_product(a,b) a = rnd_prod(a, b) 421 #define rounded_quotient(a,b) a = rnd_quot(a, b) 422 #ifdef KR_headers 423 extern double rnd_prod(), rnd_quot(); 424 #else 425 extern double rnd_prod(double, double), rnd_quot(double, double); 426 #endif 427 #else 428 #define rounded_product(a,b) a *= b 429 #define rounded_quotient(a,b) a /= b 430 #endif 431 432 #define Big0 (Frac_mask1 | Exp_msk1*(DBL_MAX_EXP+Bias-1)) 433 #define Big1 0xffffffff 434 435 #undef Pack_16 436 #ifndef Pack_32 437 #define Pack_32 438 #endif 439 440 #ifdef NO_LONG_LONG 441 #undef ULLong 442 #ifdef Just_16 443 #undef Pack_32 444 #define Pack_16 445 /* When Pack_32 is not defined, we store 16 bits per 32-bit Long. 446 * This makes some inner loops simpler and sometimes saves work 447 * during multiplications, but it often seems to make things slightly 448 * slower. Hence the default is now to store 32 bits per Long. 449 */ 450 #endif 451 #else /* long long available */ 452 #ifndef Llong 453 #define Llong long long 454 #endif 455 #ifndef ULLong 456 #define ULLong unsigned Llong 457 #endif 458 #endif /* NO_LONG_LONG */ 459 460 #ifdef Pack_32 461 #define ULbits 32 462 #define kshift 5 463 #define kmask 31 464 #define ALL_ON 0xffffffff 465 #else 466 #define ULbits 16 467 #define kshift 4 468 #define kmask 15 469 #define ALL_ON 0xffff 470 #endif 471 472 #define MULTIPLE_THREADS 473 extern pthread_mutex_t __gdtoa_locks[2]; 474 #define ACQUIRE_DTOA_LOCK(n) do { \ 475 if (__isthreaded) \ 476 _pthread_mutex_lock(&__gdtoa_locks[n]); \ 477 } while(0) 478 #define FREE_DTOA_LOCK(n) do { \ 479 if (__isthreaded) \ 480 _pthread_mutex_unlock(&__gdtoa_locks[n]); \ 481 } while(0) 482 483 #define Kmax 15 484 485 struct 486 Bigint { 487 struct Bigint *next; 488 int k, maxwds, sign, wds; 489 ULong x[1]; 490 }; 491 492 typedef struct Bigint Bigint; 493 494 #ifdef NO_STRING_H 495 #ifdef DECLARE_SIZE_T 496 typedef unsigned int size_t; 497 #endif 498 extern void memcpy_D2A ANSI((void*, const void*, size_t)); 499 #define Bcopy(x,y) memcpy_D2A(&x->sign,&y->sign,y->wds*sizeof(ULong) + 2*sizeof(int)) 500 #else /* !NO_STRING_H */ 501 #define Bcopy(x,y) memcpy(&x->sign,&y->sign,y->wds*sizeof(ULong) + 2*sizeof(int)) 502 #endif /* NO_STRING_H */ 503 504 /* 505 * Paranoia: Protect exported symbols, including ones in files we don't 506 * compile right now. The standard strtof and strtod survive. 507 */ 508 #define dtoa __dtoa 509 #define gdtoa __gdtoa 510 #define freedtoa __freedtoa 511 #define strtodg __strtodg 512 #define g_ddfmt __g_ddfmt 513 #define g_dfmt __g_dfmt 514 #define g_ffmt __g_ffmt 515 #define g_Qfmt __g_Qfmt 516 #define g_xfmt __g_xfmt 517 #define g_xLfmt __g_xLfmt 518 #define strtoId __strtoId 519 #define strtoIdd __strtoIdd 520 #define strtoIf __strtoIf 521 #define strtoIQ __strtoIQ 522 #define strtoIx __strtoIx 523 #define strtoIxL __strtoIxL 524 #define strtord __strtord 525 #define strtordd __strtordd 526 #define strtorf __strtorf 527 #define strtorQ __strtorQ 528 #define strtorx __strtorx 529 #define strtorxL __strtorxL 530 #define strtodI __strtodI 531 #define strtopd __strtopd 532 #define strtopdd __strtopdd 533 #define strtopf __strtopf 534 #define strtopQ __strtopQ 535 #define strtopx __strtopx 536 #define strtopxL __strtopxL 537 538 /* Protect gdtoa-internal symbols */ 539 #define Balloc __Balloc_D2A 540 #define Bfree __Bfree_D2A 541 #define ULtoQ __ULtoQ_D2A 542 #define ULtof __ULtof_D2A 543 #define ULtod __ULtod_D2A 544 #define ULtodd __ULtodd_D2A 545 #define ULtox __ULtox_D2A 546 #define ULtoxL __ULtoxL_D2A 547 #define any_on __any_on_D2A 548 #define b2d __b2d_D2A 549 #define bigtens __bigtens_D2A 550 #define cmp __cmp_D2A 551 #define copybits __copybits_D2A 552 #define d2b __d2b_D2A 553 #define decrement __decrement_D2A 554 #define diff __diff_D2A 555 #define dtoa_result __dtoa_result_D2A 556 #define g__fmt __g__fmt_D2A 557 #define gethex __gethex_D2A 558 #define hexdig __hexdig_D2A 559 #define hexdig_init_D2A __hexdig_init_D2A 560 #define hexnan __hexnan_D2A 561 #define hi0bits(x) __hi0bits_D2A((ULong)(x)) 562 #define hi0bits_D2A __hi0bits_D2A 563 #define i2b __i2b_D2A 564 #define increment __increment_D2A 565 #define lo0bits __lo0bits_D2A 566 #define lshift __lshift_D2A 567 #define match __match_D2A 568 #define mult __mult_D2A 569 #define multadd __multadd_D2A 570 #define nrv_alloc __nrv_alloc_D2A 571 #define pow5mult __pow5mult_D2A 572 #define quorem __quorem_D2A 573 #define ratio __ratio_D2A 574 #define rshift __rshift_D2A 575 #define rv_alloc __rv_alloc_D2A 576 #define s2b __s2b_D2A 577 #define set_ones __set_ones_D2A 578 #define strcp __strcp_D2A 579 #define strcp_D2A __strcp_D2A 580 #define strtoIg __strtoIg_D2A 581 #define sum __sum_D2A 582 #define tens __tens_D2A 583 #define tinytens __tinytens_D2A 584 #define tinytens __tinytens_D2A 585 #define trailz __trailz_D2A 586 #define ulp __ulp_D2A 587 588 extern char *dtoa_result; 589 extern CONST double bigtens[], tens[], tinytens[]; 590 extern unsigned char hexdig[]; 591 592 extern Bigint *Balloc ANSI((int)); 593 extern void Bfree ANSI((Bigint*)); 594 extern void ULtof ANSI((ULong*, ULong*, Long, int)); 595 extern void ULtod ANSI((ULong*, ULong*, Long, int)); 596 extern void ULtodd ANSI((ULong*, ULong*, Long, int)); 597 extern void ULtoQ ANSI((ULong*, ULong*, Long, int)); 598 extern void ULtox ANSI((UShort*, ULong*, Long, int)); 599 extern void ULtoxL ANSI((ULong*, ULong*, Long, int)); 600 extern ULong any_on ANSI((Bigint*, int)); 601 extern double b2d ANSI((Bigint*, int*)); 602 extern int cmp ANSI((Bigint*, Bigint*)); 603 extern void copybits ANSI((ULong*, int, Bigint*)); 604 extern Bigint *d2b ANSI((double, int*, int*)); 605 extern void decrement ANSI((Bigint*)); 606 extern Bigint *diff ANSI((Bigint*, Bigint*)); 607 extern char *dtoa ANSI((double d, int mode, int ndigits, 608 int *decpt, int *sign, char **rve)); 609 extern void freedtoa ANSI((char*)); 610 extern char *g__fmt ANSI((char*, char*, char*, int, ULong, size_t)); 611 extern char *gdtoa ANSI((FPI *fpi, int be, ULong *bits, int *kindp, 612 int mode, int ndigits, int *decpt, char **rve)); 613 extern int gethex ANSI((CONST char**, FPI*, Long*, Bigint**, int)); 614 extern void hexdig_init_D2A(Void); 615 extern int hexnan ANSI((CONST char**, FPI*, ULong*)); 616 extern int hi0bits_D2A ANSI((ULong)); 617 extern Bigint *i2b ANSI((int)); 618 extern Bigint *increment ANSI((Bigint*)); 619 extern int lo0bits ANSI((ULong*)); 620 extern Bigint *lshift ANSI((Bigint*, int)); 621 extern int match ANSI((CONST char**, char*)); 622 extern Bigint *mult ANSI((Bigint*, Bigint*)); 623 extern Bigint *multadd ANSI((Bigint*, int, int)); 624 extern char *nrv_alloc ANSI((char*, char **, int)); 625 extern Bigint *pow5mult ANSI((Bigint*, int)); 626 extern int quorem ANSI((Bigint*, Bigint*)); 627 extern double ratio ANSI((Bigint*, Bigint*)); 628 extern void rshift ANSI((Bigint*, int)); 629 extern char *rv_alloc ANSI((int)); 630 extern Bigint *s2b ANSI((CONST char*, int, int, ULong, int)); 631 extern Bigint *set_ones ANSI((Bigint*, int)); 632 extern char *strcp ANSI((char*, const char*)); 633 extern int strtodg ANSI((CONST char*, char**, FPI*, Long*, ULong*)); 634 635 extern int strtoId ANSI((CONST char *, char **, double *, double *)); 636 extern int strtoIdd ANSI((CONST char *, char **, double *, double *)); 637 extern int strtoIf ANSI((CONST char *, char **, float *, float *)); 638 extern int strtoIg ANSI((CONST char*, char**, FPI*, Long*, Bigint**, int*)); 639 extern int strtoIQ ANSI((CONST char *, char **, void *, void *)); 640 extern int strtoIx ANSI((CONST char *, char **, void *, void *)); 641 extern int strtoIxL ANSI((CONST char *, char **, void *, void *)); 642 extern double strtod ANSI((const char *s00, char **se)); 643 extern int strtopQ ANSI((CONST char *, char **, Void *)); 644 extern int strtopf ANSI((CONST char *, char **, float *)); 645 extern int strtopd ANSI((CONST char *, char **, double *)); 646 extern int strtopdd ANSI((CONST char *, char **, double *)); 647 extern int strtopx ANSI((CONST char *, char **, Void *)); 648 extern int strtopxL ANSI((CONST char *, char **, Void *)); 649 extern int strtord ANSI((CONST char *, char **, int, double *)); 650 extern int strtordd ANSI((CONST char *, char **, int, double *)); 651 extern int strtorf ANSI((CONST char *, char **, int, float *)); 652 extern int strtorQ ANSI((CONST char *, char **, int, void *)); 653 extern int strtorx ANSI((CONST char *, char **, int, void *)); 654 extern int strtorxL ANSI((CONST char *, char **, int, void *)); 655 extern Bigint *sum ANSI((Bigint*, Bigint*)); 656 extern int trailz ANSI((Bigint*)); 657 extern double ulp ANSI((double)); 658 659 #ifdef __cplusplus 660 } 661 #endif 662 /* 663 * NAN_WORD0 and NAN_WORD1 are only referenced in strtod.c. Prior to 664 * 20050115, they used to be hard-wired here (to 0x7ff80000 and 0, 665 * respectively), but now are determined by compiling and running 666 * qnan.c to generate gd_qnan.h, which specifies d_QNAN0 and d_QNAN1. 667 * Formerly gdtoaimp.h recommended supplying suitable -DNAN_WORD0=... 668 * and -DNAN_WORD1=... values if necessary. This should still work. 669 * (On HP Series 700/800 machines, -DNAN_WORD0=0x7ff40000 works.) 670 */ 671 #ifdef IEEE_Arith 672 #ifndef NO_INFNAN_CHECK 673 #undef INFNAN_CHECK 674 #define INFNAN_CHECK 675 #endif 676 #ifdef IEEE_MC68k 677 #define _0 0 678 #define _1 1 679 #ifndef NAN_WORD0 680 #define NAN_WORD0 d_QNAN0 681 #endif 682 #ifndef NAN_WORD1 683 #define NAN_WORD1 d_QNAN1 684 #endif 685 #else 686 #define _0 1 687 #define _1 0 688 #ifndef NAN_WORD0 689 #define NAN_WORD0 d_QNAN1 690 #endif 691 #ifndef NAN_WORD1 692 #define NAN_WORD1 d_QNAN0 693 #endif 694 #endif 695 #else 696 #undef INFNAN_CHECK 697 #endif 698 699 #undef SI 700 #ifdef Sudden_Underflow 701 #define SI 1 702 #else 703 #define SI 0 704 #endif 705 706 #endif /* GDTOAIMP_H_INCLUDED */ 707