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 and gdtoa. This will cause modes 4 and 5 to be 93 * treated the same as modes 2 and 3 for some inputs. 94 * #define Check_FLT_ROUNDS if FLT_ROUNDS can assume the values 2 or 3. 95 * #define RND_PRODQUOT to use rnd_prod and rnd_quot (assembly routines 96 * that use extended-precision instructions to compute rounded 97 * products and quotients) with IBM. 98 * #define ROUND_BIASED for IEEE-format with biased rounding and arithmetic 99 * that rounds toward +Infinity. 100 * #define ROUND_BIASED_without_Round_Up for IEEE-format with biased 101 * rounding when the underlying floating-point arithmetic uses 102 * unbiased rounding. This prevent using ordinary floating-point 103 * arithmetic when the result could be computed with one rounding error. 104 * #define Inaccurate_Divide for IEEE-format with correctly rounded 105 * products but inaccurate quotients, e.g., for Intel i860. 106 * #define NO_LONG_LONG on machines that do not have a "long long" 107 * integer type (of >= 64 bits). On such machines, you can 108 * #define Just_16 to store 16 bits per 32-bit Long when doing 109 * high-precision integer arithmetic. Whether this speeds things 110 * up or slows things down depends on the machine and the number 111 * being converted. If long long is available and the name is 112 * something other than "long long", #define Llong to be the name, 113 * and if "unsigned Llong" does not work as an unsigned version of 114 * Llong, #define #ULLong to be the corresponding unsigned type. 115 * #define KR_headers for old-style C function headers. 116 * #define Bad_float_h if your system lacks a float.h or if it does not 117 * define some or all of DBL_DIG, DBL_MAX_10_EXP, DBL_MAX_EXP, 118 * FLT_RADIX, FLT_ROUNDS, and DBL_MAX. 119 * #define MALLOC your_malloc, where your_malloc(n) acts like malloc(n) 120 * if memory is available and otherwise does something you deem 121 * appropriate. If MALLOC is undefined, malloc will be invoked 122 * directly -- and assumed always to succeed. Similarly, if you 123 * want something other than the system's free() to be called to 124 * recycle memory acquired from MALLOC, #define FREE to be the 125 * name of the alternate routine. (FREE or free is only called in 126 * pathological cases, e.g., in a gdtoa call after a gdtoa return in 127 * mode 3 with thousands of digits requested.) 128 * #define Omit_Private_Memory to omit logic (added Jan. 1998) for making 129 * memory allocations from a private pool of memory when possible. 130 * When used, the private pool is PRIVATE_MEM bytes long: 2304 bytes, 131 * unless #defined to be a different length. This default length 132 * suffices to get rid of MALLOC calls except for unusual cases, 133 * such as decimal-to-binary conversion of a very long string of 134 * digits. When converting IEEE double precision values, the 135 * longest string gdtoa can return is about 751 bytes long. For 136 * conversions by strtod of strings of 800 digits and all gdtoa 137 * conversions of IEEE doubles in single-threaded executions with 138 * 8-byte pointers, PRIVATE_MEM >= 7400 appears to suffice; with 139 * 4-byte pointers, PRIVATE_MEM >= 7112 appears adequate. 140 * #define NO_INFNAN_CHECK if you do not wish to have INFNAN_CHECK 141 * #defined automatically on IEEE systems. On such systems, 142 * when INFNAN_CHECK is #defined, strtod checks 143 * for Infinity and NaN (case insensitively). 144 * When INFNAN_CHECK is #defined and No_Hex_NaN is not #defined, 145 * strtodg also accepts (case insensitively) strings of the form 146 * NaN(x), where x is a string of hexadecimal digits (optionally 147 * preceded by 0x or 0X) and spaces; if there is only one string 148 * of hexadecimal digits, it is taken for the fraction bits of the 149 * resulting NaN; if there are two or more strings of hexadecimal 150 * digits, each string is assigned to the next available sequence 151 * of 32-bit words of fractions bits (starting with the most 152 * significant), right-aligned in each sequence. 153 * Unless GDTOA_NON_PEDANTIC_NANCHECK is #defined, input "NaN(...)" 154 * is consumed even when ... has the wrong form (in which case the 155 * "(...)" is consumed but ignored). 156 * #define MULTIPLE_THREADS if the system offers preemptively scheduled 157 * multiple threads. In this case, you must provide (or suitably 158 * #define) two locks, acquired by ACQUIRE_DTOA_LOCK(n) and freed 159 * by FREE_DTOA_LOCK(n) for n = 0 or 1. (The second lock, accessed 160 * in pow5mult, ensures lazy evaluation of only one copy of high 161 * powers of 5; omitting this lock would introduce a small 162 * probability of wasting memory, but would otherwise be harmless.) 163 * You must also invoke freedtoa(s) to free the value s returned by 164 * dtoa. You may do so whether or not MULTIPLE_THREADS is #defined. 165 * #define IMPRECISE_INEXACT if you do not care about the setting of 166 * the STRTOG_Inexact bits in the special case of doing IEEE double 167 * precision conversions (which could also be done by the strtod in 168 * dtoa.c). 169 * #define NO_HEX_FP to disable recognition of C9x's hexadecimal 170 * floating-point constants. 171 * #define -DNO_ERRNO to suppress setting errno (in strtod.c and 172 * strtodg.c). 173 * #define NO_STRING_H to use private versions of memcpy. 174 * On some K&R systems, it may also be necessary to 175 * #define DECLARE_SIZE_T in this case. 176 * #define USE_LOCALE to use the current locale's decimal_point value. 177 */ 178 179 #ifndef GDTOAIMP_H_INCLUDED 180 #define GDTOAIMP_H_INCLUDED 181 182 #define USE_LOCALE 183 #define Honor_FLT_ROUNDS 184 185 #include "gdtoa.h" 186 #include "gd_qnan.h" 187 #ifdef Honor_FLT_ROUNDS 188 #include <fenv.h> 189 #endif 190 191 #ifdef DEBUG 192 #include "stdio.h" 193 #define Bug(x) {fprintf(stderr, "%s\n", x); exit(1);} 194 #endif 195 196 #include "limits.h" 197 #include "stdlib.h" 198 #include "string.h" 199 #include "libc_private.h" 200 201 #include "namespace.h" 202 #include <pthread.h> 203 #include "un-namespace.h" 204 205 #ifdef KR_headers 206 #define Char char 207 #else 208 #define Char void 209 #endif 210 211 #ifdef MALLOC 212 extern Char *MALLOC ANSI((size_t)); 213 #else 214 #define MALLOC malloc 215 #endif 216 217 #undef IEEE_Arith 218 #undef Avoid_Underflow 219 #ifdef IEEE_MC68k 220 #define IEEE_Arith 221 #endif 222 #ifdef IEEE_8087 223 #define IEEE_Arith 224 #endif 225 226 #include "errno.h" 227 #ifdef Bad_float_h 228 229 #ifdef IEEE_Arith 230 #define DBL_DIG 15 231 #define DBL_MAX_10_EXP 308 232 #define DBL_MAX_EXP 1024 233 #define FLT_RADIX 2 234 #define DBL_MAX 1.7976931348623157e+308 235 #endif 236 237 #ifdef IBM 238 #define DBL_DIG 16 239 #define DBL_MAX_10_EXP 75 240 #define DBL_MAX_EXP 63 241 #define FLT_RADIX 16 242 #define DBL_MAX 7.2370055773322621e+75 243 #endif 244 245 #ifdef VAX 246 #define DBL_DIG 16 247 #define DBL_MAX_10_EXP 38 248 #define DBL_MAX_EXP 127 249 #define FLT_RADIX 2 250 #define DBL_MAX 1.7014118346046923e+38 251 #define n_bigtens 2 252 #endif 253 254 #ifndef LONG_MAX 255 #define LONG_MAX 2147483647 256 #endif 257 258 #else /* ifndef Bad_float_h */ 259 #include "float.h" 260 #endif /* Bad_float_h */ 261 262 #ifdef IEEE_Arith 263 #define Scale_Bit 0x10 264 #define n_bigtens 5 265 #endif 266 267 #ifdef IBM 268 #define n_bigtens 3 269 #endif 270 271 #ifdef VAX 272 #define n_bigtens 2 273 #endif 274 275 #ifndef __MATH_H__ 276 #include "math.h" 277 #endif 278 279 #ifdef __cplusplus 280 extern "C" { 281 #endif 282 283 #if defined(IEEE_8087) + defined(IEEE_MC68k) + defined(VAX) + defined(IBM) != 1 284 Exactly one of IEEE_8087, IEEE_MC68k, VAX, or IBM should be defined. 285 #endif 286 287 typedef union { double d; ULong L[2]; } U; 288 289 #ifdef IEEE_8087 290 #define word0(x) (x)->L[1] 291 #define word1(x) (x)->L[0] 292 #else 293 #define word0(x) (x)->L[0] 294 #define word1(x) (x)->L[1] 295 #endif 296 #define dval(x) (x)->d 297 298 /* The following definition of Storeinc is appropriate for MIPS processors. 299 * An alternative that might be better on some machines is 300 * #define Storeinc(a,b,c) (*a++ = b << 16 | c & 0xffff) 301 */ 302 #if defined(IEEE_8087) + defined(VAX) 303 #define Storeinc(a,b,c) (((unsigned short *)a)[1] = (unsigned short)b, \ 304 ((unsigned short *)a)[0] = (unsigned short)c, a++) 305 #else 306 #define Storeinc(a,b,c) (((unsigned short *)a)[0] = (unsigned short)b, \ 307 ((unsigned short *)a)[1] = (unsigned short)c, a++) 308 #endif 309 310 /* #define P DBL_MANT_DIG */ 311 /* Ten_pmax = floor(P*log(2)/log(5)) */ 312 /* Bletch = (highest power of 2 < DBL_MAX_10_EXP) / 16 */ 313 /* Quick_max = floor((P-1)*log(FLT_RADIX)/log(10) - 1) */ 314 /* Int_max = floor(P*log(FLT_RADIX)/log(10) - 1) */ 315 316 #ifdef IEEE_Arith 317 #define Exp_shift 20 318 #define Exp_shift1 20 319 #define Exp_msk1 0x100000 320 #define Exp_msk11 0x100000 321 #define Exp_mask 0x7ff00000 322 #define P 53 323 #define Bias 1023 324 #define Emin (-1022) 325 #define Exp_1 0x3ff00000 326 #define Exp_11 0x3ff00000 327 #define Ebits 11 328 #define Frac_mask 0xfffff 329 #define Frac_mask1 0xfffff 330 #define Ten_pmax 22 331 #define Bletch 0x10 332 #define Bndry_mask 0xfffff 333 #define Bndry_mask1 0xfffff 334 #define LSB 1 335 #define Sign_bit 0x80000000 336 #define Log2P 1 337 #define Tiny0 0 338 #define Tiny1 1 339 #define Quick_max 14 340 #define Int_max 14 341 342 #ifndef Flt_Rounds 343 #ifdef FLT_ROUNDS 344 #define Flt_Rounds FLT_ROUNDS 345 #else 346 #define Flt_Rounds 1 347 #endif 348 #endif /*Flt_Rounds*/ 349 350 #else /* ifndef IEEE_Arith */ 351 #undef Sudden_Underflow 352 #define Sudden_Underflow 353 #ifdef IBM 354 #undef Flt_Rounds 355 #define Flt_Rounds 0 356 #define Exp_shift 24 357 #define Exp_shift1 24 358 #define Exp_msk1 0x1000000 359 #define Exp_msk11 0x1000000 360 #define Exp_mask 0x7f000000 361 #define P 14 362 #define Bias 65 363 #define Exp_1 0x41000000 364 #define Exp_11 0x41000000 365 #define Ebits 8 /* exponent has 7 bits, but 8 is the right value in b2d */ 366 #define Frac_mask 0xffffff 367 #define Frac_mask1 0xffffff 368 #define Bletch 4 369 #define Ten_pmax 22 370 #define Bndry_mask 0xefffff 371 #define Bndry_mask1 0xffffff 372 #define LSB 1 373 #define Sign_bit 0x80000000 374 #define Log2P 4 375 #define Tiny0 0x100000 376 #define Tiny1 0 377 #define Quick_max 14 378 #define Int_max 15 379 #else /* VAX */ 380 #undef Flt_Rounds 381 #define Flt_Rounds 1 382 #define Exp_shift 23 383 #define Exp_shift1 7 384 #define Exp_msk1 0x80 385 #define Exp_msk11 0x800000 386 #define Exp_mask 0x7f80 387 #define P 56 388 #define Bias 129 389 #define Exp_1 0x40800000 390 #define Exp_11 0x4080 391 #define Ebits 8 392 #define Frac_mask 0x7fffff 393 #define Frac_mask1 0xffff007f 394 #define Ten_pmax 24 395 #define Bletch 2 396 #define Bndry_mask 0xffff007f 397 #define Bndry_mask1 0xffff007f 398 #define LSB 0x10000 399 #define Sign_bit 0x8000 400 #define Log2P 1 401 #define Tiny0 0x80 402 #define Tiny1 0 403 #define Quick_max 15 404 #define Int_max 15 405 #endif /* IBM, VAX */ 406 #endif /* IEEE_Arith */ 407 408 #ifndef IEEE_Arith 409 #define ROUND_BIASED 410 #else 411 #ifdef ROUND_BIASED_without_Round_Up 412 #undef ROUND_BIASED 413 #define ROUND_BIASED 414 #endif 415 #endif 416 417 #ifdef RND_PRODQUOT 418 #define rounded_product(a,b) a = rnd_prod(a, b) 419 #define rounded_quotient(a,b) a = rnd_quot(a, b) 420 #ifdef KR_headers 421 extern double rnd_prod(), rnd_quot(); 422 #else 423 extern double rnd_prod(double, double), rnd_quot(double, double); 424 #endif 425 #else 426 #define rounded_product(a,b) a *= b 427 #define rounded_quotient(a,b) a /= b 428 #endif 429 430 #define Big0 (Frac_mask1 | Exp_msk1*(DBL_MAX_EXP+Bias-1)) 431 #define Big1 0xffffffff 432 433 #undef Pack_16 434 #ifndef Pack_32 435 #define Pack_32 436 #endif 437 438 #ifdef NO_LONG_LONG 439 #undef ULLong 440 #ifdef Just_16 441 #undef Pack_32 442 #define Pack_16 443 /* When Pack_32 is not defined, we store 16 bits per 32-bit Long. 444 * This makes some inner loops simpler and sometimes saves work 445 * during multiplications, but it often seems to make things slightly 446 * slower. Hence the default is now to store 32 bits per Long. 447 */ 448 #endif 449 #else /* long long available */ 450 #ifndef Llong 451 #define Llong long long 452 #endif 453 #ifndef ULLong 454 #define ULLong unsigned Llong 455 #endif 456 #endif /* NO_LONG_LONG */ 457 458 #ifdef Pack_32 459 #define ULbits 32 460 #define kshift 5 461 #define kmask 31 462 #define ALL_ON 0xffffffff 463 #else 464 #define ULbits 16 465 #define kshift 4 466 #define kmask 15 467 #define ALL_ON 0xffff 468 #endif 469 470 #define MULTIPLE_THREADS 471 extern pthread_mutex_t __gdtoa_locks[2]; 472 #define ACQUIRE_DTOA_LOCK(n) do { \ 473 if (__isthreaded) \ 474 _pthread_mutex_lock(&__gdtoa_locks[n]); \ 475 } while(0) 476 #define FREE_DTOA_LOCK(n) do { \ 477 if (__isthreaded) \ 478 _pthread_mutex_unlock(&__gdtoa_locks[n]); \ 479 } while(0) 480 481 #define Kmax 9 482 483 struct 484 Bigint { 485 struct Bigint *next; 486 int k, maxwds, sign, wds; 487 ULong x[1]; 488 }; 489 490 typedef struct Bigint Bigint; 491 492 #ifdef NO_STRING_H 493 #ifdef DECLARE_SIZE_T 494 typedef unsigned int size_t; 495 #endif 496 extern void memcpy_D2A ANSI((void*, const void*, size_t)); 497 #define Bcopy(x,y) memcpy_D2A(&x->sign,&y->sign,y->wds*sizeof(ULong) + 2*sizeof(int)) 498 #else /* !NO_STRING_H */ 499 #define Bcopy(x,y) memcpy(&x->sign,&y->sign,y->wds*sizeof(ULong) + 2*sizeof(int)) 500 #endif /* NO_STRING_H */ 501 502 /* 503 * Paranoia: Protect exported symbols, including ones in files we don't 504 * compile right now. The standard strtof and strtod survive. 505 */ 506 #define dtoa __dtoa 507 #define gdtoa __gdtoa 508 #define freedtoa __freedtoa 509 #define strtodg __strtodg 510 #define g_ddfmt __g_ddfmt 511 #define g_dfmt __g_dfmt 512 #define g_ffmt __g_ffmt 513 #define g_Qfmt __g_Qfmt 514 #define g_xfmt __g_xfmt 515 #define g_xLfmt __g_xLfmt 516 #define strtoId __strtoId 517 #define strtoIdd __strtoIdd 518 #define strtoIf __strtoIf 519 #define strtoIQ __strtoIQ 520 #define strtoIx __strtoIx 521 #define strtoIxL __strtoIxL 522 #define strtord __strtord 523 #define strtordd __strtordd 524 #define strtorf __strtorf 525 #define strtorQ __strtorQ 526 #define strtorx __strtorx 527 #define strtorxL __strtorxL 528 #define strtodI __strtodI 529 #define strtopd __strtopd 530 #define strtopdd __strtopdd 531 #define strtopf __strtopf 532 #define strtopQ __strtopQ 533 #define strtopx __strtopx 534 #define strtopxL __strtopxL 535 536 /* Protect gdtoa-internal symbols */ 537 #define Balloc __Balloc_D2A 538 #define Bfree __Bfree_D2A 539 #define ULtoQ __ULtoQ_D2A 540 #define ULtof __ULtof_D2A 541 #define ULtod __ULtod_D2A 542 #define ULtodd __ULtodd_D2A 543 #define ULtox __ULtox_D2A 544 #define ULtoxL __ULtoxL_D2A 545 #define any_on __any_on_D2A 546 #define b2d __b2d_D2A 547 #define bigtens __bigtens_D2A 548 #define cmp __cmp_D2A 549 #define copybits __copybits_D2A 550 #define d2b __d2b_D2A 551 #define decrement __decrement_D2A 552 #define diff __diff_D2A 553 #define dtoa_result __dtoa_result_D2A 554 #define g__fmt __g__fmt_D2A 555 #define gethex __gethex_D2A 556 #define hexdig __hexdig_D2A 557 #define hexdig_init_D2A __hexdig_init_D2A 558 #define hexnan __hexnan_D2A 559 #define hi0bits(x) __hi0bits_D2A((ULong)(x)) 560 #define hi0bits_D2A __hi0bits_D2A 561 #define i2b __i2b_D2A 562 #define increment __increment_D2A 563 #define lo0bits __lo0bits_D2A 564 #define lshift __lshift_D2A 565 #define match __match_D2A 566 #define mult __mult_D2A 567 #define multadd __multadd_D2A 568 #define nrv_alloc __nrv_alloc_D2A 569 #define pow5mult __pow5mult_D2A 570 #define quorem __quorem_D2A 571 #define ratio __ratio_D2A 572 #define rshift __rshift_D2A 573 #define rv_alloc __rv_alloc_D2A 574 #define s2b __s2b_D2A 575 #define set_ones __set_ones_D2A 576 #define strcp __strcp_D2A 577 #define strcp_D2A __strcp_D2A 578 #define strtoIg __strtoIg_D2A 579 #define sum __sum_D2A 580 #define tens __tens_D2A 581 #define tinytens __tinytens_D2A 582 #define tinytens __tinytens_D2A 583 #define trailz __trailz_D2A 584 #define ulp __ulp_D2A 585 586 extern char *dtoa_result; 587 extern CONST double bigtens[], tens[], tinytens[]; 588 extern unsigned char hexdig[]; 589 590 extern Bigint *Balloc ANSI((int)); 591 extern void Bfree ANSI((Bigint*)); 592 extern void ULtof ANSI((ULong*, ULong*, Long, int)); 593 extern void ULtod ANSI((ULong*, ULong*, Long, int)); 594 extern void ULtodd ANSI((ULong*, ULong*, Long, int)); 595 extern void ULtoQ ANSI((ULong*, ULong*, Long, int)); 596 extern void ULtox ANSI((UShort*, ULong*, Long, int)); 597 extern void ULtoxL ANSI((ULong*, ULong*, Long, int)); 598 extern ULong any_on ANSI((Bigint*, int)); 599 extern double b2d ANSI((Bigint*, int*)); 600 extern int cmp ANSI((Bigint*, Bigint*)); 601 extern void copybits ANSI((ULong*, int, Bigint*)); 602 extern Bigint *d2b ANSI((double, int*, int*)); 603 extern void decrement ANSI((Bigint*)); 604 extern Bigint *diff ANSI((Bigint*, Bigint*)); 605 extern char *dtoa ANSI((double d, int mode, int ndigits, 606 int *decpt, int *sign, char **rve)); 607 extern void freedtoa ANSI((char*)); 608 extern char *g__fmt ANSI((char*, char*, char*, int, ULong, size_t)); 609 extern char *gdtoa ANSI((FPI *fpi, int be, ULong *bits, int *kindp, 610 int mode, int ndigits, int *decpt, char **rve)); 611 extern int gethex ANSI((CONST char**, FPI*, Long*, Bigint**, int)); 612 extern void hexdig_init_D2A(Void); 613 extern int hexnan ANSI((CONST char**, FPI*, ULong*)); 614 extern int hi0bits_D2A ANSI((ULong)); 615 extern Bigint *i2b ANSI((int)); 616 extern Bigint *increment ANSI((Bigint*)); 617 extern int lo0bits ANSI((ULong*)); 618 extern Bigint *lshift ANSI((Bigint*, int)); 619 extern int match ANSI((CONST char**, char*)); 620 extern Bigint *mult ANSI((Bigint*, Bigint*)); 621 extern Bigint *multadd ANSI((Bigint*, int, int)); 622 extern char *nrv_alloc ANSI((char*, char **, int)); 623 extern Bigint *pow5mult ANSI((Bigint*, int)); 624 extern int quorem ANSI((Bigint*, Bigint*)); 625 extern double ratio ANSI((Bigint*, Bigint*)); 626 extern void rshift ANSI((Bigint*, int)); 627 extern char *rv_alloc ANSI((int)); 628 extern Bigint *s2b ANSI((CONST char*, int, int, ULong, int)); 629 extern Bigint *set_ones ANSI((Bigint*, int)); 630 extern char *strcp ANSI((char*, const char*)); 631 extern int strtodg ANSI((CONST char*, char**, FPI*, Long*, ULong*)); 632 633 extern int strtoId ANSI((CONST char *, char **, double *, double *)); 634 extern int strtoIdd ANSI((CONST char *, char **, double *, double *)); 635 extern int strtoIf ANSI((CONST char *, char **, float *, float *)); 636 extern int strtoIg ANSI((CONST char*, char**, FPI*, Long*, Bigint**, int*)); 637 extern int strtoIQ ANSI((CONST char *, char **, void *, void *)); 638 extern int strtoIx ANSI((CONST char *, char **, void *, void *)); 639 extern int strtoIxL ANSI((CONST char *, char **, void *, void *)); 640 extern double strtod ANSI((const char *s00, char **se)); 641 extern int strtopQ ANSI((CONST char *, char **, Void *)); 642 extern int strtopf ANSI((CONST char *, char **, float *)); 643 extern int strtopd ANSI((CONST char *, char **, double *)); 644 extern int strtopdd ANSI((CONST char *, char **, double *)); 645 extern int strtopx ANSI((CONST char *, char **, Void *)); 646 extern int strtopxL ANSI((CONST char *, char **, Void *)); 647 extern int strtord ANSI((CONST char *, char **, int, double *)); 648 extern int strtordd ANSI((CONST char *, char **, int, double *)); 649 extern int strtorf ANSI((CONST char *, char **, int, float *)); 650 extern int strtorQ ANSI((CONST char *, char **, int, void *)); 651 extern int strtorx ANSI((CONST char *, char **, int, void *)); 652 extern int strtorxL ANSI((CONST char *, char **, int, void *)); 653 extern Bigint *sum ANSI((Bigint*, Bigint*)); 654 extern int trailz ANSI((Bigint*)); 655 extern double ulp ANSI((U*)); 656 657 #ifdef __cplusplus 658 } 659 #endif 660 /* 661 * NAN_WORD0 and NAN_WORD1 are only referenced in strtod.c. Prior to 662 * 20050115, they used to be hard-wired here (to 0x7ff80000 and 0, 663 * respectively), but now are determined by compiling and running 664 * qnan.c to generate gd_qnan.h, which specifies d_QNAN0 and d_QNAN1. 665 * Formerly gdtoaimp.h recommended supplying suitable -DNAN_WORD0=... 666 * and -DNAN_WORD1=... values if necessary. This should still work. 667 * (On HP Series 700/800 machines, -DNAN_WORD0=0x7ff40000 works.) 668 */ 669 #ifdef IEEE_Arith 670 #ifndef NO_INFNAN_CHECK 671 #undef INFNAN_CHECK 672 #define INFNAN_CHECK 673 #endif 674 #ifdef IEEE_MC68k 675 #define _0 0 676 #define _1 1 677 #ifndef NAN_WORD0 678 #define NAN_WORD0 d_QNAN0 679 #endif 680 #ifndef NAN_WORD1 681 #define NAN_WORD1 d_QNAN1 682 #endif 683 #else 684 #define _0 1 685 #define _1 0 686 #ifndef NAN_WORD0 687 #define NAN_WORD0 d_QNAN1 688 #endif 689 #ifndef NAN_WORD1 690 #define NAN_WORD1 d_QNAN0 691 #endif 692 #endif 693 #else 694 #undef INFNAN_CHECK 695 #endif 696 697 #undef SI 698 #ifdef Sudden_Underflow 699 #define SI 1 700 #else 701 #define SI 0 702 #endif 703 704 #endif /* GDTOAIMP_H_INCLUDED */ 705