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 /* $FreeBSD$ */ 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. 100 * #define Inaccurate_Divide for IEEE-format with correctly rounded 101 * products but inaccurate quotients, e.g., for Intel i860. 102 * #define NO_LONG_LONG on machines that do not have a "long long" 103 * integer type (of >= 64 bits). On such machines, you can 104 * #define Just_16 to store 16 bits per 32-bit Long when doing 105 * high-precision integer arithmetic. Whether this speeds things 106 * up or slows things down depends on the machine and the number 107 * being converted. If long long is available and the name is 108 * something other than "long long", #define Llong to be the name, 109 * and if "unsigned Llong" does not work as an unsigned version of 110 * Llong, #define #ULLong to be the corresponding unsigned type. 111 * #define KR_headers for old-style C function headers. 112 * #define Bad_float_h if your system lacks a float.h or if it does not 113 * define some or all of DBL_DIG, DBL_MAX_10_EXP, DBL_MAX_EXP, 114 * FLT_RADIX, FLT_ROUNDS, and DBL_MAX. 115 * #define MALLOC your_malloc, where your_malloc(n) acts like malloc(n) 116 * if memory is available and otherwise does something you deem 117 * appropriate. If MALLOC is undefined, malloc will be invoked 118 * directly -- and assumed always to succeed. 119 * #define Omit_Private_Memory to omit logic (added Jan. 1998) for making 120 * memory allocations from a private pool of memory when possible. 121 * When used, the private pool is PRIVATE_MEM bytes long: 2304 bytes, 122 * unless #defined to be a different length. This default length 123 * suffices to get rid of MALLOC calls except for unusual cases, 124 * such as decimal-to-binary conversion of a very long string of 125 * digits. When converting IEEE double precision values, the 126 * longest string gdtoa can return is about 751 bytes long. For 127 * conversions by strtod of strings of 800 digits and all gdtoa 128 * conversions of IEEE doubles in single-threaded executions with 129 * 8-byte pointers, PRIVATE_MEM >= 7400 appears to suffice; with 130 * 4-byte pointers, PRIVATE_MEM >= 7112 appears adequate. 131 * #define INFNAN_CHECK on IEEE systems to cause strtod to check for 132 * 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 #include "gdtoa.h" 179 #include "gd_qnan.h" 180 181 #ifdef DEBUG 182 #include "stdio.h" 183 #define Bug(x) {fprintf(stderr, "%s\n", x); exit(1);} 184 #endif 185 186 #include "limits.h" 187 #include "stdlib.h" 188 #include "string.h" 189 #include "libc_private.h" 190 191 #include "namespace.h" 192 #include <pthread.h> 193 #include "un-namespace.h" 194 195 #ifdef KR_headers 196 #define Char char 197 #else 198 #define Char void 199 #endif 200 201 #ifdef MALLOC 202 extern Char *MALLOC ANSI((size_t)); 203 #else 204 #define MALLOC malloc 205 #endif 206 207 #define INFNAN_CHECK 208 #define USE_LOCALE 209 #define Honor_FLT_ROUNDS 210 #define Trust_FLT_ROUNDS 211 212 #undef IEEE_Arith 213 #undef Avoid_Underflow 214 #ifdef IEEE_MC68k 215 #define IEEE_Arith 216 #endif 217 #ifdef IEEE_8087 218 #define IEEE_Arith 219 #endif 220 221 #include "errno.h" 222 #ifdef Bad_float_h 223 224 #ifdef IEEE_Arith 225 #define DBL_DIG 15 226 #define DBL_MAX_10_EXP 308 227 #define DBL_MAX_EXP 1024 228 #define FLT_RADIX 2 229 #define DBL_MAX 1.7976931348623157e+308 230 #endif 231 232 #ifdef IBM 233 #define DBL_DIG 16 234 #define DBL_MAX_10_EXP 75 235 #define DBL_MAX_EXP 63 236 #define FLT_RADIX 16 237 #define DBL_MAX 7.2370055773322621e+75 238 #endif 239 240 #ifdef VAX 241 #define DBL_DIG 16 242 #define DBL_MAX_10_EXP 38 243 #define DBL_MAX_EXP 127 244 #define FLT_RADIX 2 245 #define DBL_MAX 1.7014118346046923e+38 246 #define n_bigtens 2 247 #endif 248 249 #ifndef LONG_MAX 250 #define LONG_MAX 2147483647 251 #endif 252 253 #else /* ifndef Bad_float_h */ 254 #include "float.h" 255 #endif /* Bad_float_h */ 256 257 #ifdef IEEE_Arith 258 #define Scale_Bit 0x10 259 #define n_bigtens 5 260 #endif 261 262 #ifdef IBM 263 #define n_bigtens 3 264 #endif 265 266 #ifdef VAX 267 #define n_bigtens 2 268 #endif 269 270 #ifndef __MATH_H__ 271 #include "math.h" 272 #endif 273 274 #ifdef __cplusplus 275 extern "C" { 276 #endif 277 278 #if defined(IEEE_8087) + defined(IEEE_MC68k) + defined(VAX) + defined(IBM) != 1 279 Exactly one of IEEE_8087, IEEE_MC68k, VAX, or IBM should be defined. 280 #endif 281 282 typedef union { double d; ULong L[2]; } U; 283 284 #ifdef YES_ALIAS 285 #define dval(x) x 286 #ifdef IEEE_8087 287 #define word0(x) ((ULong *)&x)[1] 288 #define word1(x) ((ULong *)&x)[0] 289 #else 290 #define word0(x) ((ULong *)&x)[0] 291 #define word1(x) ((ULong *)&x)[1] 292 #endif 293 #else /* !YES_ALIAS */ 294 #ifdef IEEE_8087 295 #define word0(x) ((U*)&x)->L[1] 296 #define word1(x) ((U*)&x)->L[0] 297 #else 298 #define word0(x) ((U*)&x)->L[0] 299 #define word1(x) ((U*)&x)->L[1] 300 #endif 301 #define dval(x) ((U*)&x)->d 302 #endif /* YES_ALIAS */ 303 304 /* The following definition of Storeinc is appropriate for MIPS processors. 305 * An alternative that might be better on some machines is 306 * #define Storeinc(a,b,c) (*a++ = b << 16 | c & 0xffff) 307 */ 308 #if defined(IEEE_8087) + defined(VAX) 309 #define Storeinc(a,b,c) (((unsigned short *)a)[1] = (unsigned short)b, \ 310 ((unsigned short *)a)[0] = (unsigned short)c, a++) 311 #else 312 #define Storeinc(a,b,c) (((unsigned short *)a)[0] = (unsigned short)b, \ 313 ((unsigned short *)a)[1] = (unsigned short)c, a++) 314 #endif 315 316 /* #define P DBL_MANT_DIG */ 317 /* Ten_pmax = floor(P*log(2)/log(5)) */ 318 /* Bletch = (highest power of 2 < DBL_MAX_10_EXP) / 16 */ 319 /* Quick_max = floor((P-1)*log(FLT_RADIX)/log(10) - 1) */ 320 /* Int_max = floor(P*log(FLT_RADIX)/log(10) - 1) */ 321 322 #ifdef IEEE_Arith 323 #define Exp_shift 20 324 #define Exp_shift1 20 325 #define Exp_msk1 0x100000 326 #define Exp_msk11 0x100000 327 #define Exp_mask 0x7ff00000 328 #define P 53 329 #define Bias 1023 330 #define Emin (-1022) 331 #define Exp_1 0x3ff00000 332 #define Exp_11 0x3ff00000 333 #define Ebits 11 334 #define Frac_mask 0xfffff 335 #define Frac_mask1 0xfffff 336 #define Ten_pmax 22 337 #define Bletch 0x10 338 #define Bndry_mask 0xfffff 339 #define Bndry_mask1 0xfffff 340 #define LSB 1 341 #define Sign_bit 0x80000000 342 #define Log2P 1 343 #define Tiny0 0 344 #define Tiny1 1 345 #define Quick_max 14 346 #define Int_max 14 347 348 #ifndef Flt_Rounds 349 #ifdef FLT_ROUNDS 350 #define Flt_Rounds FLT_ROUNDS 351 #else 352 #define Flt_Rounds 1 353 #endif 354 #endif /*Flt_Rounds*/ 355 356 #else /* ifndef IEEE_Arith */ 357 #undef Sudden_Underflow 358 #define Sudden_Underflow 359 #ifdef IBM 360 #undef Flt_Rounds 361 #define Flt_Rounds 0 362 #define Exp_shift 24 363 #define Exp_shift1 24 364 #define Exp_msk1 0x1000000 365 #define Exp_msk11 0x1000000 366 #define Exp_mask 0x7f000000 367 #define P 14 368 #define Bias 65 369 #define Exp_1 0x41000000 370 #define Exp_11 0x41000000 371 #define Ebits 8 /* exponent has 7 bits, but 8 is the right value in b2d */ 372 #define Frac_mask 0xffffff 373 #define Frac_mask1 0xffffff 374 #define Bletch 4 375 #define Ten_pmax 22 376 #define Bndry_mask 0xefffff 377 #define Bndry_mask1 0xffffff 378 #define LSB 1 379 #define Sign_bit 0x80000000 380 #define Log2P 4 381 #define Tiny0 0x100000 382 #define Tiny1 0 383 #define Quick_max 14 384 #define Int_max 15 385 #else /* VAX */ 386 #undef Flt_Rounds 387 #define Flt_Rounds 1 388 #define Exp_shift 23 389 #define Exp_shift1 7 390 #define Exp_msk1 0x80 391 #define Exp_msk11 0x800000 392 #define Exp_mask 0x7f80 393 #define P 56 394 #define Bias 129 395 #define Exp_1 0x40800000 396 #define Exp_11 0x4080 397 #define Ebits 8 398 #define Frac_mask 0x7fffff 399 #define Frac_mask1 0xffff007f 400 #define Ten_pmax 24 401 #define Bletch 2 402 #define Bndry_mask 0xffff007f 403 #define Bndry_mask1 0xffff007f 404 #define LSB 0x10000 405 #define Sign_bit 0x8000 406 #define Log2P 1 407 #define Tiny0 0x80 408 #define Tiny1 0 409 #define Quick_max 15 410 #define Int_max 15 411 #endif /* IBM, VAX */ 412 #endif /* IEEE_Arith */ 413 414 #ifndef IEEE_Arith 415 #define ROUND_BIASED 416 #endif 417 418 #ifdef RND_PRODQUOT 419 #define rounded_product(a,b) a = rnd_prod(a, b) 420 #define rounded_quotient(a,b) a = rnd_quot(a, b) 421 #ifdef KR_headers 422 extern double rnd_prod(), rnd_quot(); 423 #else 424 extern double rnd_prod(double, double), rnd_quot(double, double); 425 #endif 426 #else 427 #define rounded_product(a,b) a *= b 428 #define rounded_quotient(a,b) a /= b 429 #endif 430 431 #define Big0 (Frac_mask1 | Exp_msk1*(DBL_MAX_EXP+Bias-1)) 432 #define Big1 0xffffffff 433 434 #undef Pack_16 435 #ifndef Pack_32 436 #define Pack_32 437 #endif 438 439 #ifdef NO_LONG_LONG 440 #undef ULLong 441 #ifdef Just_16 442 #undef Pack_32 443 #define Pack_16 444 /* When Pack_32 is not defined, we store 16 bits per 32-bit Long. 445 * This makes some inner loops simpler and sometimes saves work 446 * during multiplications, but it often seems to make things slightly 447 * slower. Hence the default is now to store 32 bits per Long. 448 */ 449 #endif 450 #else /* long long available */ 451 #ifndef Llong 452 #define Llong long long 453 #endif 454 #ifndef ULLong 455 #define ULLong unsigned Llong 456 #endif 457 #endif /* NO_LONG_LONG */ 458 459 #ifdef Pack_32 460 #define ULbits 32 461 #define kshift 5 462 #define kmask 31 463 #define ALL_ON 0xffffffff 464 #else 465 #define ULbits 16 466 #define kshift 4 467 #define kmask 15 468 #define ALL_ON 0xffff 469 #endif 470 471 #define MULTIPLE_THREADS 472 extern pthread_mutex_t __gdtoa_locks[2]; 473 #define ACQUIRE_DTOA_LOCK(n) do { \ 474 if (__isthreaded) \ 475 _pthread_mutex_lock(&__gdtoa_locks[n]); \ 476 } while(0) 477 #define FREE_DTOA_LOCK(n) do { \ 478 if (__isthreaded) \ 479 _pthread_mutex_unlock(&__gdtoa_locks[n]); \ 480 } while(0) 481 482 #define Kmax 15 483 484 struct 485 Bigint { 486 struct Bigint *next; 487 int k, maxwds, sign, wds; 488 ULong x[1]; 489 }; 490 491 typedef struct Bigint Bigint; 492 493 #ifdef NO_STRING_H 494 #ifdef DECLARE_SIZE_T 495 typedef unsigned int size_t; 496 #endif 497 extern void memcpy_D2A ANSI((void*, const void*, size_t)); 498 #define Bcopy(x,y) memcpy_D2A(&x->sign,&y->sign,y->wds*sizeof(ULong) + 2*sizeof(int)) 499 #else /* !NO_STRING_H */ 500 #define Bcopy(x,y) memcpy(&x->sign,&y->sign,y->wds*sizeof(ULong) + 2*sizeof(int)) 501 #endif /* NO_STRING_H */ 502 503 /* 504 * Paranoia: Protect exported symbols, including ones in files we don't 505 * compile right now. The standard strtof and strtod survive. 506 */ 507 #define dtoa __dtoa 508 #define gdtoa __gdtoa 509 #define freedtoa __freedtoa 510 #define strtodg __strtodg 511 #define g_ddfmt __g_ddfmt 512 #define g_dfmt __g_dfmt 513 #define g_ffmt __g_ffmt 514 #define g_Qfmt __g_Qfmt 515 #define g_xfmt __g_xfmt 516 #define g_xLfmt __g_xLfmt 517 #define strtoId __strtoId 518 #define strtoIdd __strtoIdd 519 #define strtoIf __strtoIf 520 #define strtoIQ __strtoIQ 521 #define strtoIx __strtoIx 522 #define strtoIxL __strtoIxL 523 #define strtord __strtord 524 #define strtordd __strtordd 525 #define strtorf __strtorf 526 #define strtorQ __strtorQ 527 #define strtorx __strtorx 528 #define strtorxL __strtorxL 529 #define strtodI __strtodI 530 #define strtopd __strtopd 531 #define strtopdd __strtopdd 532 #define strtopf __strtopf 533 #define strtopQ __strtopQ 534 #define strtopx __strtopx 535 #define strtopxL __strtopxL 536 537 /* Protect gdtoa-internal symbols */ 538 #define Balloc __Balloc_D2A 539 #define Bfree __Bfree_D2A 540 #define ULtoQ __ULtoQ_D2A 541 #define ULtof __ULtof_D2A 542 #define ULtod __ULtod_D2A 543 #define ULtodd __ULtodd_D2A 544 #define ULtox __ULtox_D2A 545 #define ULtoxL __ULtoxL_D2A 546 #define any_on __any_on_D2A 547 #define b2d __b2d_D2A 548 #define bigtens __bigtens_D2A 549 #define cmp __cmp_D2A 550 #define copybits __copybits_D2A 551 #define d2b __d2b_D2A 552 #define decrement __decrement_D2A 553 #define diff __diff_D2A 554 #define dtoa_result __dtoa_result_D2A 555 #define g__fmt __g__fmt_D2A 556 #define gethex __gethex_D2A 557 #define hexdig __hexdig_D2A 558 #define hexdig_init_D2A __hexdig_init_D2A 559 #define hexnan __hexnan_D2A 560 #define hi0bits __hi0bits_D2A 561 #define hi0bits_D2A __hi0bits_D2A 562 #define i2b __i2b_D2A 563 #define increment __increment_D2A 564 #define lo0bits __lo0bits_D2A 565 #define lshift __lshift_D2A 566 #define match __match_D2A 567 #define mult __mult_D2A 568 #define multadd __multadd_D2A 569 #define nrv_alloc __nrv_alloc_D2A 570 #define pow5mult __pow5mult_D2A 571 #define quorem __quorem_D2A 572 #define ratio __ratio_D2A 573 #define rshift __rshift_D2A 574 #define rv_alloc __rv_alloc_D2A 575 #define s2b __s2b_D2A 576 #define set_ones __set_ones_D2A 577 #define strcp __strcp_D2A 578 #define strcp_D2A __strcp_D2A 579 #define strtoIg __strtoIg_D2A 580 #define sum __sum_D2A 581 #define tens __tens_D2A 582 #define tinytens __tinytens_D2A 583 #define tinytens __tinytens_D2A 584 #define trailz __trailz_D2A 585 #define ulp __ulp_D2A 586 587 extern char *dtoa_result; 588 extern CONST double bigtens[], tens[], tinytens[]; 589 extern unsigned char hexdig[]; 590 591 extern Bigint *Balloc ANSI((int)); 592 extern void Bfree ANSI((Bigint*)); 593 extern void ULtof ANSI((ULong*, ULong*, Long, int)); 594 extern void ULtod ANSI((ULong*, ULong*, Long, int)); 595 extern void ULtodd ANSI((ULong*, ULong*, Long, int)); 596 extern void ULtoQ ANSI((ULong*, ULong*, Long, int)); 597 extern void ULtox ANSI((UShort*, ULong*, Long, int)); 598 extern void ULtoxL ANSI((ULong*, ULong*, Long, int)); 599 extern ULong any_on ANSI((Bigint*, int)); 600 extern double b2d ANSI((Bigint*, int*)); 601 extern int cmp ANSI((Bigint*, Bigint*)); 602 extern void copybits ANSI((ULong*, int, Bigint*)); 603 extern Bigint *d2b ANSI((double, int*, int*)); 604 extern void decrement ANSI((Bigint*)); 605 extern Bigint *diff ANSI((Bigint*, Bigint*)); 606 extern char *dtoa ANSI((double d, int mode, int ndigits, 607 int *decpt, int *sign, char **rve)); 608 extern void freedtoa ANSI((char*)); 609 extern char *gdtoa ANSI((FPI *fpi, int be, ULong *bits, int *kindp, 610 int mode, int ndigits, int *decpt, char **rve)); 611 extern char *g__fmt ANSI((char*, char*, char*, int, ULong)); 612 extern int gethex ANSI((CONST char**, FPI*, Long*, Bigint**, int)); 613 extern void hexdig_init_D2A(Void); 614 extern int hexnan ANSI((CONST char**, FPI*, ULong*)); 615 extern int hi0bits ANSI((ULong)); 616 extern Bigint *i2b ANSI((int)); 617 extern Bigint *increment ANSI((Bigint*)); 618 extern int lo0bits ANSI((ULong*)); 619 extern Bigint *lshift ANSI((Bigint*, int)); 620 extern int match ANSI((CONST char**, char*)); 621 extern Bigint *mult ANSI((Bigint*, Bigint*)); 622 extern Bigint *multadd ANSI((Bigint*, int, int)); 623 extern char *nrv_alloc ANSI((char*, char **, int)); 624 extern Bigint *pow5mult ANSI((Bigint*, int)); 625 extern int quorem ANSI((Bigint*, Bigint*)); 626 extern double ratio ANSI((Bigint*, Bigint*)); 627 extern void rshift ANSI((Bigint*, int)); 628 extern char *rv_alloc ANSI((int)); 629 extern Bigint *s2b ANSI((CONST char*, int, int, ULong)); 630 extern Bigint *set_ones ANSI((Bigint*, int)); 631 extern char *strcp ANSI((char*, const char*)); 632 extern int strtodg ANSI((CONST char*, char**, FPI*, Long*, ULong*)); 633 634 extern int strtoId ANSI((CONST char *, char **, double *, double *)); 635 extern int strtoIdd ANSI((CONST char *, char **, double *, double *)); 636 extern int strtoIf ANSI((CONST char *, char **, float *, float *)); 637 extern int strtoIg ANSI((CONST char*, char**, FPI*, Long*, Bigint**, int*)); 638 extern int strtoIQ ANSI((CONST char *, char **, void *, void *)); 639 extern int strtoIx ANSI((CONST char *, char **, void *, void *)); 640 extern int strtoIxL ANSI((CONST char *, char **, void *, void *)); 641 extern double strtod ANSI((const char *s00, char **se)); 642 extern int strtopQ ANSI((CONST char *, char **, Void *)); 643 extern int strtopf ANSI((CONST char *, char **, float *)); 644 extern int strtopd ANSI((CONST char *, char **, double *)); 645 extern int strtopdd ANSI((CONST char *, char **, double *)); 646 extern int strtopx ANSI((CONST char *, char **, Void *)); 647 extern int strtopxL ANSI((CONST char *, char **, Void *)); 648 extern int strtord ANSI((CONST char *, char **, int, double *)); 649 extern int strtordd ANSI((CONST char *, char **, int, double *)); 650 extern int strtorf ANSI((CONST char *, char **, int, float *)); 651 extern int strtorQ ANSI((CONST char *, char **, int, void *)); 652 extern int strtorx ANSI((CONST char *, char **, int, void *)); 653 extern int strtorxL ANSI((CONST char *, char **, int, void *)); 654 extern Bigint *sum ANSI((Bigint*, Bigint*)); 655 extern int trailz ANSI((Bigint*)); 656 extern double ulp ANSI((double)); 657 658 #ifdef __cplusplus 659 } 660 #endif 661 /* 662 * NAN_WORD0 and NAN_WORD1 are only referenced in strtod.c. Prior to 663 * 20050115, they used to be hard-wired here (to 0x7ff80000 and 0, 664 * respectively), but now are determined by compiling and running 665 * qnan.c to generate gd_qnan.h, which specifies d_QNAN0 and d_QNAN1. 666 * Formerly gdtoaimp.h recommended supplying suitable -DNAN_WORD0=... 667 * and -DNAN_WORD1=... values if necessary. This should still work. 668 * (On HP Series 700/800 machines, -DNAN_WORD0=0x7ff40000 works.) 669 */ 670 #ifdef IEEE_Arith 671 #ifdef IEEE_MC68k 672 #define _0 0 673 #define _1 1 674 #ifndef NAN_WORD0 675 #define NAN_WORD0 d_QNAN0 676 #endif 677 #ifndef NAN_WORD1 678 #define NAN_WORD1 d_QNAN1 679 #endif 680 #else 681 #define _0 1 682 #define _1 0 683 #ifndef NAN_WORD0 684 #define NAN_WORD0 d_QNAN1 685 #endif 686 #ifndef NAN_WORD1 687 #define NAN_WORD1 d_QNAN0 688 #endif 689 #endif 690 #else 691 #undef INFNAN_CHECK 692 #endif 693 694 #undef SI 695 #ifdef Sudden_Underflow 696 #define SI 1 697 #else 698 #define SI 0 699 #endif 700 701 #endif /* GDTOAIMP_H_INCLUDED */ 702