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. Similarly, if you 117 * want something other than the system's free() to be called to 118 * recycle memory acquired from MALLOC, #define FREE to be the 119 * name of the alternate routine. (FREE or free is only called in 120 * pathological cases, e.g., in a gdtoa call after a gdtoa return in 121 * mode 3 with thousands of digits requested.) 122 * #define Omit_Private_Memory to omit logic (added Jan. 1998) for making 123 * memory allocations from a private pool of memory when possible. 124 * When used, the private pool is PRIVATE_MEM bytes long: 2304 bytes, 125 * unless #defined to be a different length. This default length 126 * suffices to get rid of MALLOC calls except for unusual cases, 127 * such as decimal-to-binary conversion of a very long string of 128 * digits. When converting IEEE double precision values, the 129 * longest string gdtoa can return is about 751 bytes long. For 130 * conversions by strtod of strings of 800 digits and all gdtoa 131 * conversions of IEEE doubles in single-threaded executions with 132 * 8-byte pointers, PRIVATE_MEM >= 7400 appears to suffice; with 133 * 4-byte pointers, PRIVATE_MEM >= 7112 appears adequate. 134 * #define NO_INFNAN_CHECK if you do not wish to have INFNAN_CHECK 135 * #defined automatically on IEEE systems. On such systems, 136 * when INFNAN_CHECK is #defined, strtod checks 137 * for Infinity and NaN (case insensitively). 138 * When INFNAN_CHECK is #defined and No_Hex_NaN is not #defined, 139 * strtodg also accepts (case insensitively) strings of the form 140 * NaN(x), where x is a string of hexadecimal digits (optionally 141 * preceded by 0x or 0X) and spaces; if there is only one string 142 * of hexadecimal digits, it is taken for the fraction bits of the 143 * resulting NaN; if there are two or more strings of hexadecimal 144 * digits, each string is assigned to the next available sequence 145 * of 32-bit words of fractions bits (starting with the most 146 * significant), right-aligned in each sequence. 147 * Unless GDTOA_NON_PEDANTIC_NANCHECK is #defined, input "NaN(...)" 148 * is consumed even when ... has the wrong form (in which case the 149 * "(...)" is consumed but ignored). 150 * #define MULTIPLE_THREADS if the system offers preemptively scheduled 151 * multiple threads. In this case, you must provide (or suitably 152 * #define) two locks, acquired by ACQUIRE_DTOA_LOCK(n) and freed 153 * by FREE_DTOA_LOCK(n) for n = 0 or 1. (The second lock, accessed 154 * in pow5mult, ensures lazy evaluation of only one copy of high 155 * powers of 5; omitting this lock would introduce a small 156 * probability of wasting memory, but would otherwise be harmless.) 157 * You must also invoke freedtoa(s) to free the value s returned by 158 * dtoa. You may do so whether or not MULTIPLE_THREADS is #defined. 159 * #define IMPRECISE_INEXACT if you do not care about the setting of 160 * the STRTOG_Inexact bits in the special case of doing IEEE double 161 * precision conversions (which could also be done by the strtod in 162 * dtoa.c). 163 * #define NO_HEX_FP to disable recognition of C9x's hexadecimal 164 * floating-point constants. 165 * #define -DNO_ERRNO to suppress setting errno (in strtod.c and 166 * strtodg.c). 167 * #define NO_STRING_H to use private versions of memcpy. 168 * On some K&R systems, it may also be necessary to 169 * #define DECLARE_SIZE_T in this case. 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 IEEE_8087 286 #define word0(x) (x)->L[1] 287 #define word1(x) (x)->L[0] 288 #else 289 #define word0(x) (x)->L[0] 290 #define word1(x) (x)->L[1] 291 #endif 292 #define dval(x) (x)->d 293 294 /* The following definition of Storeinc is appropriate for MIPS processors. 295 * An alternative that might be better on some machines is 296 * #define Storeinc(a,b,c) (*a++ = b << 16 | c & 0xffff) 297 */ 298 #if defined(IEEE_8087) + defined(VAX) 299 #define Storeinc(a,b,c) (((unsigned short *)a)[1] = (unsigned short)b, \ 300 ((unsigned short *)a)[0] = (unsigned short)c, a++) 301 #else 302 #define Storeinc(a,b,c) (((unsigned short *)a)[0] = (unsigned short)b, \ 303 ((unsigned short *)a)[1] = (unsigned short)c, a++) 304 #endif 305 306 /* #define P DBL_MANT_DIG */ 307 /* Ten_pmax = floor(P*log(2)/log(5)) */ 308 /* Bletch = (highest power of 2 < DBL_MAX_10_EXP) / 16 */ 309 /* Quick_max = floor((P-1)*log(FLT_RADIX)/log(10) - 1) */ 310 /* Int_max = floor(P*log(FLT_RADIX)/log(10) - 1) */ 311 312 #ifdef IEEE_Arith 313 #define Exp_shift 20 314 #define Exp_shift1 20 315 #define Exp_msk1 0x100000 316 #define Exp_msk11 0x100000 317 #define Exp_mask 0x7ff00000 318 #define P 53 319 #define Bias 1023 320 #define Emin (-1022) 321 #define Exp_1 0x3ff00000 322 #define Exp_11 0x3ff00000 323 #define Ebits 11 324 #define Frac_mask 0xfffff 325 #define Frac_mask1 0xfffff 326 #define Ten_pmax 22 327 #define Bletch 0x10 328 #define Bndry_mask 0xfffff 329 #define Bndry_mask1 0xfffff 330 #define LSB 1 331 #define Sign_bit 0x80000000 332 #define Log2P 1 333 #define Tiny0 0 334 #define Tiny1 1 335 #define Quick_max 14 336 #define Int_max 14 337 338 #ifndef Flt_Rounds 339 #ifdef FLT_ROUNDS 340 #define Flt_Rounds FLT_ROUNDS 341 #else 342 #define Flt_Rounds 1 343 #endif 344 #endif /*Flt_Rounds*/ 345 346 #else /* ifndef IEEE_Arith */ 347 #undef Sudden_Underflow 348 #define Sudden_Underflow 349 #ifdef IBM 350 #undef Flt_Rounds 351 #define Flt_Rounds 0 352 #define Exp_shift 24 353 #define Exp_shift1 24 354 #define Exp_msk1 0x1000000 355 #define Exp_msk11 0x1000000 356 #define Exp_mask 0x7f000000 357 #define P 14 358 #define Bias 65 359 #define Exp_1 0x41000000 360 #define Exp_11 0x41000000 361 #define Ebits 8 /* exponent has 7 bits, but 8 is the right value in b2d */ 362 #define Frac_mask 0xffffff 363 #define Frac_mask1 0xffffff 364 #define Bletch 4 365 #define Ten_pmax 22 366 #define Bndry_mask 0xefffff 367 #define Bndry_mask1 0xffffff 368 #define LSB 1 369 #define Sign_bit 0x80000000 370 #define Log2P 4 371 #define Tiny0 0x100000 372 #define Tiny1 0 373 #define Quick_max 14 374 #define Int_max 15 375 #else /* VAX */ 376 #undef Flt_Rounds 377 #define Flt_Rounds 1 378 #define Exp_shift 23 379 #define Exp_shift1 7 380 #define Exp_msk1 0x80 381 #define Exp_msk11 0x800000 382 #define Exp_mask 0x7f80 383 #define P 56 384 #define Bias 129 385 #define Exp_1 0x40800000 386 #define Exp_11 0x4080 387 #define Ebits 8 388 #define Frac_mask 0x7fffff 389 #define Frac_mask1 0xffff007f 390 #define Ten_pmax 24 391 #define Bletch 2 392 #define Bndry_mask 0xffff007f 393 #define Bndry_mask1 0xffff007f 394 #define LSB 0x10000 395 #define Sign_bit 0x8000 396 #define Log2P 1 397 #define Tiny0 0x80 398 #define Tiny1 0 399 #define Quick_max 15 400 #define Int_max 15 401 #endif /* IBM, VAX */ 402 #endif /* IEEE_Arith */ 403 404 #ifndef IEEE_Arith 405 #define ROUND_BIASED 406 #endif 407 408 #ifdef RND_PRODQUOT 409 #define rounded_product(a,b) a = rnd_prod(a, b) 410 #define rounded_quotient(a,b) a = rnd_quot(a, b) 411 #ifdef KR_headers 412 extern double rnd_prod(), rnd_quot(); 413 #else 414 extern double rnd_prod(double, double), rnd_quot(double, double); 415 #endif 416 #else 417 #define rounded_product(a,b) a *= b 418 #define rounded_quotient(a,b) a /= b 419 #endif 420 421 #define Big0 (Frac_mask1 | Exp_msk1*(DBL_MAX_EXP+Bias-1)) 422 #define Big1 0xffffffff 423 424 #undef Pack_16 425 #ifndef Pack_32 426 #define Pack_32 427 #endif 428 429 #ifdef NO_LONG_LONG 430 #undef ULLong 431 #ifdef Just_16 432 #undef Pack_32 433 #define Pack_16 434 /* When Pack_32 is not defined, we store 16 bits per 32-bit Long. 435 * This makes some inner loops simpler and sometimes saves work 436 * during multiplications, but it often seems to make things slightly 437 * slower. Hence the default is now to store 32 bits per Long. 438 */ 439 #endif 440 #else /* long long available */ 441 #ifndef Llong 442 #define Llong long long 443 #endif 444 #ifndef ULLong 445 #define ULLong unsigned Llong 446 #endif 447 #endif /* NO_LONG_LONG */ 448 449 #ifdef Pack_32 450 #define ULbits 32 451 #define kshift 5 452 #define kmask 31 453 #define ALL_ON 0xffffffff 454 #else 455 #define ULbits 16 456 #define kshift 4 457 #define kmask 15 458 #define ALL_ON 0xffff 459 #endif 460 461 #define MULTIPLE_THREADS 462 extern pthread_mutex_t __gdtoa_locks[2]; 463 #define ACQUIRE_DTOA_LOCK(n) do { \ 464 if (__isthreaded) \ 465 _pthread_mutex_lock(&__gdtoa_locks[n]); \ 466 } while(0) 467 #define FREE_DTOA_LOCK(n) do { \ 468 if (__isthreaded) \ 469 _pthread_mutex_unlock(&__gdtoa_locks[n]); \ 470 } while(0) 471 472 #define Kmax 9 473 474 struct 475 Bigint { 476 struct Bigint *next; 477 int k, maxwds, sign, wds; 478 ULong x[1]; 479 }; 480 481 typedef struct Bigint Bigint; 482 483 #ifdef NO_STRING_H 484 #ifdef DECLARE_SIZE_T 485 typedef unsigned int size_t; 486 #endif 487 extern void memcpy_D2A ANSI((void*, const void*, size_t)); 488 #define Bcopy(x,y) memcpy_D2A(&x->sign,&y->sign,y->wds*sizeof(ULong) + 2*sizeof(int)) 489 #else /* !NO_STRING_H */ 490 #define Bcopy(x,y) memcpy(&x->sign,&y->sign,y->wds*sizeof(ULong) + 2*sizeof(int)) 491 #endif /* NO_STRING_H */ 492 493 /* 494 * Paranoia: Protect exported symbols, including ones in files we don't 495 * compile right now. The standard strtof and strtod survive. 496 */ 497 #define dtoa __dtoa 498 #define gdtoa __gdtoa 499 #define freedtoa __freedtoa 500 #define strtodg __strtodg 501 #define g_ddfmt __g_ddfmt 502 #define g_dfmt __g_dfmt 503 #define g_ffmt __g_ffmt 504 #define g_Qfmt __g_Qfmt 505 #define g_xfmt __g_xfmt 506 #define g_xLfmt __g_xLfmt 507 #define strtoId __strtoId 508 #define strtoIdd __strtoIdd 509 #define strtoIf __strtoIf 510 #define strtoIQ __strtoIQ 511 #define strtoIx __strtoIx 512 #define strtoIxL __strtoIxL 513 #define strtord __strtord 514 #define strtordd __strtordd 515 #define strtorf __strtorf 516 #define strtorQ __strtorQ 517 #define strtorx __strtorx 518 #define strtorxL __strtorxL 519 #define strtodI __strtodI 520 #define strtopd __strtopd 521 #define strtopdd __strtopdd 522 #define strtopf __strtopf 523 #define strtopQ __strtopQ 524 #define strtopx __strtopx 525 #define strtopxL __strtopxL 526 527 /* Protect gdtoa-internal symbols */ 528 #define Balloc __Balloc_D2A 529 #define Bfree __Bfree_D2A 530 #define ULtoQ __ULtoQ_D2A 531 #define ULtof __ULtof_D2A 532 #define ULtod __ULtod_D2A 533 #define ULtodd __ULtodd_D2A 534 #define ULtox __ULtox_D2A 535 #define ULtoxL __ULtoxL_D2A 536 #define any_on __any_on_D2A 537 #define b2d __b2d_D2A 538 #define bigtens __bigtens_D2A 539 #define cmp __cmp_D2A 540 #define copybits __copybits_D2A 541 #define d2b __d2b_D2A 542 #define decrement __decrement_D2A 543 #define diff __diff_D2A 544 #define dtoa_result __dtoa_result_D2A 545 #define g__fmt __g__fmt_D2A 546 #define gethex __gethex_D2A 547 #define hexdig __hexdig_D2A 548 #define hexdig_init_D2A __hexdig_init_D2A 549 #define hexnan __hexnan_D2A 550 #define hi0bits(x) __hi0bits_D2A((ULong)(x)) 551 #define hi0bits_D2A __hi0bits_D2A 552 #define i2b __i2b_D2A 553 #define increment __increment_D2A 554 #define lo0bits __lo0bits_D2A 555 #define lshift __lshift_D2A 556 #define match __match_D2A 557 #define mult __mult_D2A 558 #define multadd __multadd_D2A 559 #define nrv_alloc __nrv_alloc_D2A 560 #define pow5mult __pow5mult_D2A 561 #define quorem __quorem_D2A 562 #define ratio __ratio_D2A 563 #define rshift __rshift_D2A 564 #define rv_alloc __rv_alloc_D2A 565 #define s2b __s2b_D2A 566 #define set_ones __set_ones_D2A 567 #define strcp __strcp_D2A 568 #define strcp_D2A __strcp_D2A 569 #define strtoIg __strtoIg_D2A 570 #define sum __sum_D2A 571 #define tens __tens_D2A 572 #define tinytens __tinytens_D2A 573 #define tinytens __tinytens_D2A 574 #define trailz __trailz_D2A 575 #define ulp __ulp_D2A 576 577 extern char *dtoa_result; 578 extern CONST double bigtens[], tens[], tinytens[]; 579 extern unsigned char hexdig[]; 580 581 extern Bigint *Balloc ANSI((int)); 582 extern void Bfree ANSI((Bigint*)); 583 extern void ULtof ANSI((ULong*, ULong*, Long, int)); 584 extern void ULtod ANSI((ULong*, ULong*, Long, int)); 585 extern void ULtodd ANSI((ULong*, ULong*, Long, int)); 586 extern void ULtoQ ANSI((ULong*, ULong*, Long, int)); 587 extern void ULtox ANSI((UShort*, ULong*, Long, int)); 588 extern void ULtoxL ANSI((ULong*, ULong*, Long, int)); 589 extern ULong any_on ANSI((Bigint*, int)); 590 extern double b2d ANSI((Bigint*, int*)); 591 extern int cmp ANSI((Bigint*, Bigint*)); 592 extern void copybits ANSI((ULong*, int, Bigint*)); 593 extern Bigint *d2b ANSI((double, int*, int*)); 594 extern void decrement ANSI((Bigint*)); 595 extern Bigint *diff ANSI((Bigint*, Bigint*)); 596 extern char *dtoa ANSI((double d, int mode, int ndigits, 597 int *decpt, int *sign, char **rve)); 598 extern void freedtoa ANSI((char*)); 599 extern char *g__fmt ANSI((char*, char*, char*, int, ULong, size_t)); 600 extern char *gdtoa ANSI((FPI *fpi, int be, ULong *bits, int *kindp, 601 int mode, int ndigits, int *decpt, char **rve)); 602 extern int gethex ANSI((CONST char**, FPI*, Long*, Bigint**, int)); 603 extern void hexdig_init_D2A(Void); 604 extern int hexnan ANSI((CONST char**, FPI*, ULong*)); 605 extern int hi0bits_D2A ANSI((ULong)); 606 extern Bigint *i2b ANSI((int)); 607 extern Bigint *increment ANSI((Bigint*)); 608 extern int lo0bits ANSI((ULong*)); 609 extern Bigint *lshift ANSI((Bigint*, int)); 610 extern int match ANSI((CONST char**, char*)); 611 extern Bigint *mult ANSI((Bigint*, Bigint*)); 612 extern Bigint *multadd ANSI((Bigint*, int, int)); 613 extern char *nrv_alloc ANSI((char*, char **, int)); 614 extern Bigint *pow5mult ANSI((Bigint*, int)); 615 extern int quorem ANSI((Bigint*, Bigint*)); 616 extern double ratio ANSI((Bigint*, Bigint*)); 617 extern void rshift ANSI((Bigint*, int)); 618 extern char *rv_alloc ANSI((int)); 619 extern Bigint *s2b ANSI((CONST char*, int, int, ULong, int)); 620 extern Bigint *set_ones ANSI((Bigint*, int)); 621 extern char *strcp ANSI((char*, const char*)); 622 extern int strtodg ANSI((CONST char*, char**, FPI*, Long*, ULong*)); 623 624 extern int strtoId ANSI((CONST char *, char **, double *, double *)); 625 extern int strtoIdd ANSI((CONST char *, char **, double *, double *)); 626 extern int strtoIf ANSI((CONST char *, char **, float *, float *)); 627 extern int strtoIg ANSI((CONST char*, char**, FPI*, Long*, Bigint**, int*)); 628 extern int strtoIQ ANSI((CONST char *, char **, void *, void *)); 629 extern int strtoIx ANSI((CONST char *, char **, void *, void *)); 630 extern int strtoIxL ANSI((CONST char *, char **, void *, void *)); 631 extern double strtod ANSI((const char *s00, char **se)); 632 extern int strtopQ ANSI((CONST char *, char **, Void *)); 633 extern int strtopf ANSI((CONST char *, char **, float *)); 634 extern int strtopd ANSI((CONST char *, char **, double *)); 635 extern int strtopdd ANSI((CONST char *, char **, double *)); 636 extern int strtopx ANSI((CONST char *, char **, Void *)); 637 extern int strtopxL ANSI((CONST char *, char **, Void *)); 638 extern int strtord ANSI((CONST char *, char **, int, double *)); 639 extern int strtordd ANSI((CONST char *, char **, int, double *)); 640 extern int strtorf ANSI((CONST char *, char **, int, float *)); 641 extern int strtorQ ANSI((CONST char *, char **, int, void *)); 642 extern int strtorx ANSI((CONST char *, char **, int, void *)); 643 extern int strtorxL ANSI((CONST char *, char **, int, void *)); 644 extern Bigint *sum ANSI((Bigint*, Bigint*)); 645 extern int trailz ANSI((Bigint*)); 646 extern double ulp ANSI((U*)); 647 648 #ifdef __cplusplus 649 } 650 #endif 651 /* 652 * NAN_WORD0 and NAN_WORD1 are only referenced in strtod.c. Prior to 653 * 20050115, they used to be hard-wired here (to 0x7ff80000 and 0, 654 * respectively), but now are determined by compiling and running 655 * qnan.c to generate gd_qnan.h, which specifies d_QNAN0 and d_QNAN1. 656 * Formerly gdtoaimp.h recommended supplying suitable -DNAN_WORD0=... 657 * and -DNAN_WORD1=... values if necessary. This should still work. 658 * (On HP Series 700/800 machines, -DNAN_WORD0=0x7ff40000 works.) 659 */ 660 #ifdef IEEE_Arith 661 #ifndef NO_INFNAN_CHECK 662 #undef INFNAN_CHECK 663 #define INFNAN_CHECK 664 #endif 665 #ifdef IEEE_MC68k 666 #define _0 0 667 #define _1 1 668 #ifndef NAN_WORD0 669 #define NAN_WORD0 d_QNAN0 670 #endif 671 #ifndef NAN_WORD1 672 #define NAN_WORD1 d_QNAN1 673 #endif 674 #else 675 #define _0 1 676 #define _1 0 677 #ifndef NAN_WORD0 678 #define NAN_WORD0 d_QNAN1 679 #endif 680 #ifndef NAN_WORD1 681 #define NAN_WORD1 d_QNAN0 682 #endif 683 #endif 684 #else 685 #undef INFNAN_CHECK 686 #endif 687 688 #undef SI 689 #ifdef Sudden_Underflow 690 #define SI 1 691 #else 692 #define SI 0 693 #endif 694 695 #endif /* GDTOAIMP_H_INCLUDED */ 696