1 /* $NetBSD: gdtoaimp.h,v 1.19 2022/04/19 20:32:15 rillig Exp $ */ 2 3 /**************************************************************** 4 5 The author of this software is David M. Gay. 6 7 Copyright (C) 1998-2000 by Lucent Technologies 8 All Rights Reserved 9 10 Permission to use, copy, modify, and distribute this software and 11 its documentation for any purpose and without fee is hereby 12 granted, provided that the above copyright notice appear in all 13 copies and that both that the copyright notice and this 14 permission notice and warranty disclaimer appear in supporting 15 documentation, and that the name of Lucent or any of its entities 16 not be used in advertising or publicity pertaining to 17 distribution of the software without specific, written prior 18 permission. 19 20 LUCENT DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE, 21 INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS. 22 IN NO EVENT SHALL LUCENT OR ANY OF ITS ENTITIES BE LIABLE FOR ANY 23 SPECIAL, INDIRECT OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES 24 WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER 25 IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, 26 ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF 27 THIS SOFTWARE. 28 29 ****************************************************************/ 30 31 /* This is a variation on dtoa.c that converts arbitrary 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_LITTLE_ENDIAN for IEEE-arithmetic machines where the least 85 * significant byte has the lowest address. 86 * #define IEEE_BIG_ENDIAN 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 and arithmetic 100 * that rounds toward +Infinity. 101 * #define ROUND_BIASED_without_Round_Up for IEEE-format with biased 102 * rounding when the underlying floating-point arithmetic uses 103 * unbiased rounding. This prevent using ordinary floating-point 104 * arithmetic when the result could be computed with one rounding error. 105 * #define Inaccurate_Divide for IEEE-format with correctly rounded 106 * products but inaccurate quotients, e.g., for Intel i860. 107 * #define NO_LONG_LONG on machines that do not have a "long long" 108 * integer type (of >= 64 bits). On such machines, you can 109 * #define Just_16 to store 16 bits per 32-bit Long when doing 110 * high-precision integer arithmetic. Whether this speeds things 111 * up or slows things down depends on the machine and the number 112 * being converted. If long long is available and the name is 113 * something other than "long long", #define Llong to be the name, 114 * and if "unsigned Llong" does not work as an unsigned version of 115 * Llong, #define #ULLong to be the corresponding unsigned type. 116 * #define KR_headers for old-style C function headers. 117 * #define Bad_float_h if your system lacks a float.h or if it does not 118 * define some or all of DBL_DIG, DBL_MAX_10_EXP, DBL_MAX_EXP, 119 * FLT_RADIX, FLT_ROUNDS, and DBL_MAX. 120 * #define MALLOC your_malloc, where your_malloc(n) acts like malloc(n) 121 * if memory is available and otherwise does something you deem 122 * appropriate. If MALLOC is undefined, malloc will be invoked 123 * directly -- and assumed always to succeed. Similarly, if you 124 * want something other than the system's free() to be called to 125 * recycle memory acquired from MALLOC, #define FREE to be the 126 * name of the alternate routine. (FREE or free is only called in 127 * pathological cases, e.g., in a gdtoa call after a gdtoa return in 128 * mode 3 with thousands of digits requested.) 129 * #define Omit_Private_Memory to omit logic (added Jan. 1998) for making 130 * memory allocations from a private pool of memory when possible. 131 * When used, the private pool is PRIVATE_MEM bytes long: 2304 bytes, 132 * unless #defined to be a different length. This default length 133 * suffices to get rid of MALLOC calls except for unusual cases, 134 * such as decimal-to-binary conversion of a very long string of 135 * digits. When converting IEEE double precision values, the 136 * longest string gdtoa can return is about 751 bytes long. For 137 * conversions by strtod of strings of 800 digits and all gdtoa 138 * conversions of IEEE doubles in single-threaded executions with 139 * 8-byte pointers, PRIVATE_MEM >= 7400 appears to suffice; with 140 * 4-byte pointers, PRIVATE_MEM >= 7112 appears adequate. 141 * #define NO_INFNAN_CHECK if you do not wish to have INFNAN_CHECK 142 * #defined automatically on IEEE systems. On such systems, 143 * when INFNAN_CHECK is #defined, strtod checks 144 * for Infinity and NaN (case insensitively). 145 * When INFNAN_CHECK is #defined and No_Hex_NaN is not #defined, 146 * strtodg also accepts (case insensitively) strings of the form 147 * NaN(x), where x is a string of hexadecimal digits (optionally 148 * preceded by 0x or 0X) and spaces; if there is only one string 149 * of hexadecimal digits, it is taken for the fraction bits of the 150 * resulting NaN; if there are two or more strings of hexadecimal 151 * digits, each string is assigned to the next available sequence 152 * of 32-bit words of fractions bits (starting with the most 153 * significant), right-aligned in each sequence. 154 * Unless GDTOA_NON_PEDANTIC_NANCHECK is #defined, input "NaN(...)" 155 * is consumed even when ... has the wrong form (in which case the 156 * "(...)" is consumed but ignored). 157 * #define MULTIPLE_THREADS if the system offers preemptively scheduled 158 * multiple threads. In this case, you must provide (or suitably 159 * #define) two locks, acquired by ACQUIRE_DTOA_LOCK(n) and freed 160 * by FREE_DTOA_LOCK(n) for n = 0 or 1. (The second lock, accessed 161 * in pow5mult, ensures lazy evaluation of only one copy of high 162 * powers of 5; omitting this lock would introduce a small 163 * probability of wasting memory, but would otherwise be harmless.) 164 * You must also invoke freedtoa(s) to free the value s returned by 165 * dtoa. You may do so whether or not MULTIPLE_THREADS is #defined. 166 * #define IMPRECISE_INEXACT if you do not care about the setting of 167 * the STRTOG_Inexact bits in the special case of doing IEEE double 168 * precision conversions (which could also be done by the strtod in 169 * dtoa.c). 170 * #define NO_HEX_FP to disable recognition of C9x's hexadecimal 171 * floating-point constants. 172 * #define -DNO_ERRNO to suppress setting errno (in strtod.c and 173 * strtodg.c). 174 * #define NO_STRING_H to use private versions of memcpy. 175 * On some K&R systems, it may also be necessary to 176 * #define DECLARE_SIZE_T in this case. 177 * #define USE_LOCALE to use the current locale's decimal_point value. 178 */ 179 180 /* #define IEEE_{BIG,LITTLE}_ENDIAN in ${ARCHDIR}/gdtoa/arith.h */ 181 182 #include <assert.h> 183 #include <stdint.h> 184 #define Short int16_t 185 #define UShort uint16_t 186 #define Long int32_t 187 #define ULong uint32_t 188 #define LLong int64_t 189 #define ULLong uint64_t 190 191 #define INFNAN_CHECK 192 #ifdef _REENTRANT 193 #define MULTIPLE_THREADS 194 #endif 195 #define USE_LOCALE 196 197 #ifndef GDTOAIMP_H_INCLUDED 198 #define GDTOAIMP_H_INCLUDED 199 #include "gdtoa.h" 200 #include "gd_qnan.h" 201 #ifdef Honor_FLT_ROUNDS 202 #include <fenv.h> 203 __unused __weakref_visible int __libc_fegetround_ref(void) 204 __weak_reference(fegetround); 205 #define fegetround() \ 206 (__libc_fegetround_ref ? __libc_fegetround_ref() : FE_TONEAREST) 207 #endif 208 209 #ifdef DEBUG 210 #include "stdio.h" 211 #define Bug(x) {fprintf(stderr, "%s\n", x); exit(1);} 212 #endif 213 214 #include "stdlib.h" 215 #include "string.h" 216 217 #ifdef KR_headers 218 #define Char char 219 #else 220 #define Char void 221 #endif 222 223 #ifdef MALLOC 224 extern Char *MALLOC ANSI((size_t)); 225 #else 226 #define MALLOC malloc 227 #endif 228 229 #undef IEEE_Arith 230 #undef Avoid_Underflow 231 #ifdef IEEE_BIG_ENDIAN 232 #define IEEE_Arith 233 #endif 234 #ifdef IEEE_LITTLE_ENDIAN 235 #define IEEE_Arith 236 #endif 237 238 #include "errno.h" 239 #ifdef Bad_float_h 240 241 #ifdef IEEE_Arith 242 #define DBL_DIG 15 243 #define DBL_MAX_10_EXP 308 244 #define DBL_MAX_EXP 1024 245 #define FLT_RADIX 2 246 #define DBL_MAX 1.7976931348623157e+308 247 #endif 248 249 #ifdef IBM 250 #define DBL_DIG 16 251 #define DBL_MAX_10_EXP 75 252 #define DBL_MAX_EXP 63 253 #define FLT_RADIX 16 254 #define DBL_MAX 7.2370055773322621e+75 255 #endif 256 257 #ifdef VAX 258 #define DBL_DIG 16 259 #define DBL_MAX_10_EXP 38 260 #define DBL_MAX_EXP 127 261 #define FLT_RADIX 2 262 #define DBL_MAX 1.7014118346046923e+38 263 #define n_bigtens 2 264 #endif 265 266 #ifndef LONG_MAX 267 #define LONG_MAX 2147483647 268 #endif 269 270 #else /* ifndef Bad_float_h */ 271 #include "float.h" 272 #endif /* Bad_float_h */ 273 274 #ifdef IEEE_Arith 275 #define Scale_Bit 0x10 276 #define n_bigtens 5 277 #endif 278 279 #ifdef IBM 280 #define n_bigtens 3 281 #endif 282 283 #ifdef VAX 284 #define n_bigtens 2 285 #endif 286 287 #include "math.h" 288 289 #ifdef __cplusplus 290 extern "C" { 291 #endif 292 293 #if defined(IEEE_LITTLE_ENDIAN) + defined(IEEE_BIG_ENDIAN) + defined(VAX) + defined(IBM) != 1 294 Exactly one of IEEE_LITTLE_ENDIAN, IEEE_BIG_ENDIAN, VAX, or IBM should be defined. 295 #endif 296 297 typedef union { double d; ULong L[2]; } __attribute__((__may_alias__)) U; 298 299 #ifdef YES_ALIAS 300 #define dval(x) x 301 #ifdef IEEE_LITTLE_ENDIAN 302 #define word0(x) ((ULong *)x)[1] 303 #define word1(x) ((ULong *)x)[0] 304 #else 305 #define word0(x) ((ULong *)x)[0] 306 #define word1(x) ((ULong *)x)[1] 307 #endif 308 #else /* !YES_ALIAS */ 309 #ifdef IEEE_LITTLE_ENDIAN 310 #define word0(x) ( /* LINTED */ (U*)x)->L[1] 311 #define word1(x) ( /* LINTED */ (U*)x)->L[0] 312 #else 313 #define word0(x) ( /* LINTED */ (U*)x)->L[0] 314 #define word1(x) ( /* LINTED */ (U*)x)->L[1] 315 #endif 316 #define dval(x) ( /* LINTED */ (U*)x)->d 317 #endif /* YES_ALIAS */ 318 319 /* The following definition of Storeinc is appropriate for MIPS processors. 320 * An alternative that might be better on some machines is 321 * #define Storeinc(a,b,c) (*a++ = b << 16 | c & 0xffff) 322 */ 323 #if defined(IEEE_LITTLE_ENDIAN) + defined(VAX) 324 #define Storeinc(a,b,c) \ 325 (((unsigned short *)(void *)a)[1] = (unsigned short)b, \ 326 ((unsigned short *)(void *)a)[0] = (unsigned short)c, \ 327 a++) 328 #else 329 #define Storeinc(a,b,c) \ 330 (((unsigned short *)(void *)a)[0] = (unsigned short)b, \ 331 ((unsigned short *)(void *)a)[1] = (unsigned short)c, \ 332 a++) 333 #endif 334 335 /* #define P DBL_MANT_DIG */ 336 /* Ten_pmax = floor(P*log(2)/log(5)) */ 337 /* Bletch = (highest power of 2 < DBL_MAX_10_EXP) / 16 */ 338 /* Quick_max = floor((P-1)*log(FLT_RADIX)/log(10) - 1) */ 339 /* Int_max = floor(P*log(FLT_RADIX)/log(10) - 1) */ 340 341 #ifdef IEEE_Arith 342 #define Exp_shift 20 343 #define Exp_shift1 20 344 #define Exp_msk1 0x100000 345 #define Exp_msk11 0x100000 346 #define Exp_mask 0x7ff00000 347 #define P 53 348 #define Bias 1023 349 #define Emin (-1022) 350 #define Exp_1 0x3ff00000 351 #define Exp_11 0x3ff00000 352 #define Ebits 11 353 #define Frac_mask 0xfffff 354 #define Frac_mask1 0xfffff 355 #define Ten_pmax 22 356 #define Bletch 0x10 357 #define Bndry_mask 0xfffff 358 #define Bndry_mask1 0xfffff 359 #define LSB 1 360 #define Sign_bit 0x80000000 361 #define Log2P 1 362 #define Tiny0 0 363 #define Tiny1 1 364 #define Quick_max 14 365 #define Int_max 14 366 367 #ifndef Flt_Rounds 368 #ifdef FLT_ROUNDS 369 #define Flt_Rounds FLT_ROUNDS 370 #else 371 #define Flt_Rounds 1 372 #endif 373 #endif /*Flt_Rounds*/ 374 375 #else /* ifndef IEEE_Arith */ 376 #undef Sudden_Underflow 377 #define Sudden_Underflow 378 #ifdef IBM 379 #undef Flt_Rounds 380 #define Flt_Rounds 0 381 #define Exp_shift 24 382 #define Exp_shift1 24 383 #define Exp_msk1 0x1000000 384 #define Exp_msk11 0x1000000 385 #define Exp_mask 0x7f000000 386 #define P 14 387 #define Bias 65 388 #define Exp_1 0x41000000 389 #define Exp_11 0x41000000 390 #define Ebits 8 /* exponent has 7 bits, but 8 is the right value in b2d */ 391 #define Frac_mask 0xffffff 392 #define Frac_mask1 0xffffff 393 #define Bletch 4 394 #define Ten_pmax 22 395 #define Bndry_mask 0xefffff 396 #define Bndry_mask1 0xffffff 397 #define LSB 1 398 #define Sign_bit 0x80000000 399 #define Log2P 4 400 #define Tiny0 0x100000 401 #define Tiny1 0 402 #define Quick_max 14 403 #define Int_max 15 404 #else /* VAX */ 405 #undef Flt_Rounds 406 #define Flt_Rounds 1 407 #define Exp_shift 23 408 #define Exp_shift1 7 409 #define Exp_msk1 0x80 410 #define Exp_msk11 0x800000 411 #define Exp_mask 0x7f80 412 #define P 56 413 #define Bias 129 414 #define Emin (-127) /* XXX: Check this */ 415 #define Exp_1 0x40800000 416 #define Exp_11 0x4080 417 #define Ebits 8 418 #define Frac_mask 0x7fffff 419 #define Frac_mask1 0xffff007f 420 #define Ten_pmax 24 421 #define Bletch 2 422 #define Bndry_mask 0xffff007f 423 #define Bndry_mask1 0xffff007f 424 #define LSB 0x10000 425 #define Sign_bit 0x8000 426 #define Log2P 1 427 #define Tiny0 0x80 428 #define Tiny1 0 429 #define Quick_max 15 430 #define Int_max 15 431 #endif /* IBM, VAX */ 432 #endif /* IEEE_Arith */ 433 434 #ifndef IEEE_Arith 435 #define ROUND_BIASED 436 #else 437 #ifdef ROUND_BIASED_without_Round_Up 438 #undef ROUND_BIASED 439 #define ROUND_BIASED 440 #endif 441 #endif 442 443 #ifdef RND_PRODQUOT 444 #define rounded_product(a,b) a = rnd_prod(a, b) 445 #define rounded_quotient(a,b) a = rnd_quot(a, b) 446 #ifdef KR_headers 447 extern double rnd_prod(), rnd_quot(); 448 #else 449 extern double rnd_prod(double, double), rnd_quot(double, double); 450 #endif 451 #else 452 #define rounded_product(a,b) a *= b 453 #define rounded_quotient(a,b) a /= b 454 #endif 455 456 #define Big0 (Frac_mask1 | Exp_msk1*(DBL_MAX_EXP+Bias-1)) 457 #define Big1 0xffffffff 458 459 #undef Pack_16 460 #ifndef Pack_32 461 #define Pack_32 462 #endif 463 464 #ifdef NO_LONG_LONG 465 #undef ULLong 466 #ifdef Just_16 467 #undef Pack_32 468 #define Pack_16 469 /* When Pack_32 is not defined, we store 16 bits per 32-bit Long. 470 * This makes some inner loops simpler and sometimes saves work 471 * during multiplications, but it often seems to make things slightly 472 * slower. Hence the default is now to store 32 bits per Long. 473 */ 474 #endif 475 #else /* long long available */ 476 #ifndef Llong 477 #define Llong long long 478 #endif 479 #ifndef ULLong 480 #define ULLong unsigned Llong 481 #endif 482 #endif /* NO_LONG_LONG */ 483 484 #ifdef Pack_32 485 #define ULbits 32 486 #define kshift 5 487 #define kmask 31 488 #define ALL_ON 0xffffffff 489 #else 490 #define ULbits 16 491 #define kshift 4 492 #define kmask 15 493 #define ALL_ON 0xffff 494 #endif 495 496 #ifndef MULTIPLE_THREADS 497 #define ACQUIRE_DTOA_LOCK(n) /*nothing*/ 498 #define FREE_DTOA_LOCK(n) /*nothing*/ 499 #else 500 #include "reentrant.h" 501 502 extern mutex_t __gdtoa_locks[2]; 503 504 #define ACQUIRE_DTOA_LOCK(n) \ 505 do { \ 506 if (__isthreaded) \ 507 mutex_lock(&__gdtoa_locks[n]); \ 508 } while (0) 509 #define FREE_DTOA_LOCK(n) \ 510 do { \ 511 if (__isthreaded) \ 512 mutex_unlock(&__gdtoa_locks[n]); \ 513 } while (0) 514 #endif 515 516 #define Kmax (sizeof(size_t) << 3) 517 518 struct 519 Bigint { 520 struct Bigint *next; 521 int k, maxwds, sign, wds; 522 ULong x[1]; 523 }; 524 525 typedef struct Bigint Bigint; 526 527 #ifdef NO_STRING_H 528 #ifdef DECLARE_SIZE_T 529 typedef unsigned int size_t; 530 #endif 531 extern void memcpy_D2A ANSI((void*, const void*, size_t)); 532 #define Bcopy(x,y) memcpy_D2A(&x->sign,&y->sign,y->wds*sizeof(ULong) + 2*sizeof(int)) 533 #else /* !NO_STRING_H */ 534 #define Bcopy(x,y) memcpy(&x->sign,&y->sign,y->wds*sizeof(ULong) + 2*sizeof(int)) 535 #endif /* NO_STRING_H */ 536 537 #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 __hi0bits_D2A 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 char *g__fmt ANSI((char*, char*, char*, int, ULong, size_t)); 608 extern int gethex ANSI((CONST char**, CONST FPI*, Long*, Bigint**, int, locale_t)); 609 extern void hexdig_init_D2A(Void); 610 extern int hexnan ANSI((CONST char**, CONST FPI*, ULong*)); 611 extern int hi0bits_D2A ANSI((ULong)); 612 extern Bigint *i2b ANSI((int)); 613 extern Bigint *increment ANSI((Bigint*)); 614 extern int lo0bits ANSI((ULong*)); 615 extern Bigint *lshift ANSI((Bigint*, int)); 616 extern int match ANSI((CONST char**, CONST char*)); 617 extern Bigint *mult ANSI((Bigint*, Bigint*)); 618 extern Bigint *multadd ANSI((Bigint*, int, int)); 619 extern char *nrv_alloc ANSI((CONST char*, char **, size_t)); 620 extern Bigint *pow5mult ANSI((Bigint*, int)); 621 extern int quorem ANSI((Bigint*, Bigint*)); 622 extern double ratio ANSI((Bigint*, Bigint*)); 623 extern void rshift ANSI((Bigint*, int)); 624 extern char *rv_alloc ANSI((size_t)); 625 extern Bigint *s2b ANSI((CONST char*, int, int, ULong, size_t)); 626 extern Bigint *set_ones ANSI((Bigint*, int)); 627 extern char *strcp ANSI((char*, const char*)); 628 extern int strtoIg ANSI((CONST char*, char**, CONST FPI*, Long*, Bigint**, int*)); 629 extern double strtod ANSI((const char *s00, char **se)); 630 extern Bigint *sum ANSI((Bigint*, Bigint*)); 631 extern int trailz ANSI((CONST Bigint*)); 632 extern double ulp ANSI((U*)); 633 634 #ifdef __cplusplus 635 } 636 #endif 637 /* 638 * NAN_WORD0 and NAN_WORD1 are only referenced in strtod.c. Prior to 639 * 20050115, they used to be hard-wired here (to 0x7ff80000 and 0, 640 * respectively), but now are determined by compiling and running 641 * qnan.c to generate gd_qnan.h, which specifies d_QNAN0 and d_QNAN1. 642 * Formerly gdtoaimp.h recommended supplying suitable -DNAN_WORD0=... 643 * and -DNAN_WORD1=... values if necessary. This should still work. 644 * (On HP Series 700/800 machines, -DNAN_WORD0=0x7ff40000 works.) 645 */ 646 #ifdef IEEE_Arith 647 #ifndef NO_INFNAN_CHECK 648 #undef INFNAN_CHECK 649 #define INFNAN_CHECK 650 #endif 651 #ifdef IEEE_BIG_ENDIAN 652 #define _0 0 653 #define _1 1 654 #ifndef NAN_WORD0 655 #define NAN_WORD0 d_QNAN0 656 #endif 657 #ifndef NAN_WORD1 658 #define NAN_WORD1 d_QNAN1 659 #endif 660 #else 661 #define _0 1 662 #define _1 0 663 #ifndef NAN_WORD0 664 #define NAN_WORD0 d_QNAN1 665 #endif 666 #ifndef NAN_WORD1 667 #define NAN_WORD1 d_QNAN0 668 #endif 669 #endif 670 #else 671 #undef INFNAN_CHECK 672 #endif 673 674 #undef SI 675 #ifdef Sudden_Underflow 676 #define SI 1 677 #else 678 #define SI 0 679 #endif 680 681 #endif /* GDTOAIMP_H_INCLUDED */ 682