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 and spaces; 136 * if there is only one string of hexadecimal digits, it is taken 137 * for the fraction bits of the resulting NaN; if there are two or 138 * more strings of hexadecimal digits, each string is assigned 139 * to the next available sequence of 32-bit words of fractions 140 * bits (starting with the most significant), right-aligned in 141 * each sequence. 142 * #define MULTIPLE_THREADS if the system offers preemptively scheduled 143 * multiple threads. In this case, you must provide (or suitably 144 * #define) two locks, acquired by ACQUIRE_DTOA_LOCK(n) and freed 145 * by FREE_DTOA_LOCK(n) for n = 0 or 1. (The second lock, accessed 146 * in pow5mult, ensures lazy evaluation of only one copy of high 147 * powers of 5; omitting this lock would introduce a small 148 * probability of wasting memory, but would otherwise be harmless.) 149 * You must also invoke freedtoa(s) to free the value s returned by 150 * dtoa. You may do so whether or not MULTIPLE_THREADS is #defined. 151 * #define IMPRECISE_INEXACT if you do not care about the setting of 152 * the STRTOG_Inexact bits in the special case of doing IEEE double 153 * precision conversions (which could also be done by the strtog in 154 * dtoa.c). 155 * #define NO_HEX_FP to disable recognition of C9x's hexadecimal 156 * floating-point constants. 157 * #define -DNO_ERRNO to suppress setting errno (in strtod.c and 158 * strtodg.c). 159 * #define NO_STRING_H to use private versions of memcpy. 160 * On some K&R systems, it may also be necessary to 161 * #define DECLARE_SIZE_T in this case. 162 * #define YES_ALIAS to permit aliasing certain double values with 163 * arrays of ULongs. This leads to slightly better code with 164 * some compilers and was always used prior to 19990916, but it 165 * is not strictly legal and can cause trouble with aggressively 166 * optimizing compilers (e.g., gcc 2.95.1 under -O2). 167 * #define USE_LOCALE to use the current locale's decimal_point value. 168 */ 169 170 #ifndef GDTOAIMP_H_INCLUDED 171 #define GDTOAIMP_H_INCLUDED 172 #include "gdtoa.h" 173 #include "gd_qnan.h" 174 175 #ifdef DEBUG 176 #include "stdio.h" 177 #define Bug(x) {fprintf(stderr, "%s\n", x); exit(1);} 178 #endif 179 180 #include "limits.h" 181 #include "stdlib.h" 182 #include "string.h" 183 #include "libc_private.h" 184 185 #include "namespace.h" 186 #include <pthread.h> 187 #include "un-namespace.h" 188 189 #ifdef KR_headers 190 #define Char char 191 #else 192 #define Char void 193 #endif 194 195 #ifdef MALLOC 196 extern Char *MALLOC ANSI((size_t)); 197 #else 198 #define MALLOC malloc 199 #endif 200 201 #define INFNAN_CHECK 202 #define USE_LOCALE 203 #define Honor_FLT_ROUNDS 204 205 #undef IEEE_Arith 206 #undef Avoid_Underflow 207 #ifdef IEEE_MC68k 208 #define IEEE_Arith 209 #endif 210 #ifdef IEEE_8087 211 #define IEEE_Arith 212 #endif 213 214 #include "errno.h" 215 #ifdef Bad_float_h 216 217 #ifdef IEEE_Arith 218 #define DBL_DIG 15 219 #define DBL_MAX_10_EXP 308 220 #define DBL_MAX_EXP 1024 221 #define FLT_RADIX 2 222 #define DBL_MAX 1.7976931348623157e+308 223 #endif 224 225 #ifdef IBM 226 #define DBL_DIG 16 227 #define DBL_MAX_10_EXP 75 228 #define DBL_MAX_EXP 63 229 #define FLT_RADIX 16 230 #define DBL_MAX 7.2370055773322621e+75 231 #endif 232 233 #ifdef VAX 234 #define DBL_DIG 16 235 #define DBL_MAX_10_EXP 38 236 #define DBL_MAX_EXP 127 237 #define FLT_RADIX 2 238 #define DBL_MAX 1.7014118346046923e+38 239 #define n_bigtens 2 240 #endif 241 242 #ifndef LONG_MAX 243 #define LONG_MAX 2147483647 244 #endif 245 246 #else /* ifndef Bad_float_h */ 247 #include "float.h" 248 #endif /* Bad_float_h */ 249 250 #ifdef IEEE_Arith 251 #define Scale_Bit 0x10 252 #define n_bigtens 5 253 #endif 254 255 #ifdef IBM 256 #define n_bigtens 3 257 #endif 258 259 #ifdef VAX 260 #define n_bigtens 2 261 #endif 262 263 #ifndef __MATH_H__ 264 #include "math.h" 265 #endif 266 267 #ifdef __cplusplus 268 extern "C" { 269 #endif 270 271 #if defined(IEEE_8087) + defined(IEEE_MC68k) + defined(VAX) + defined(IBM) != 1 272 Exactly one of IEEE_8087, IEEE_MC68k, VAX, or IBM should be defined. 273 #endif 274 275 typedef union { double d; ULong L[2]; } U; 276 277 #ifdef YES_ALIAS 278 #define dval(x) x 279 #ifdef IEEE_8087 280 #define word0(x) ((ULong *)&x)[1] 281 #define word1(x) ((ULong *)&x)[0] 282 #else 283 #define word0(x) ((ULong *)&x)[0] 284 #define word1(x) ((ULong *)&x)[1] 285 #endif 286 #else /* !YES_ALIAS */ 287 #ifdef IEEE_8087 288 #define word0(x) ((U*)&x)->L[1] 289 #define word1(x) ((U*)&x)->L[0] 290 #else 291 #define word0(x) ((U*)&x)->L[0] 292 #define word1(x) ((U*)&x)->L[1] 293 #endif 294 #define dval(x) ((U*)&x)->d 295 #endif /* YES_ALIAS */ 296 297 /* The following definition of Storeinc is appropriate for MIPS processors. 298 * An alternative that might be better on some machines is 299 * #define Storeinc(a,b,c) (*a++ = b << 16 | c & 0xffff) 300 */ 301 #if defined(IEEE_8087) + defined(VAX) 302 #define Storeinc(a,b,c) (((unsigned short *)a)[1] = (unsigned short)b, \ 303 ((unsigned short *)a)[0] = (unsigned short)c, a++) 304 #else 305 #define Storeinc(a,b,c) (((unsigned short *)a)[0] = (unsigned short)b, \ 306 ((unsigned short *)a)[1] = (unsigned short)c, a++) 307 #endif 308 309 /* #define P DBL_MANT_DIG */ 310 /* Ten_pmax = floor(P*log(2)/log(5)) */ 311 /* Bletch = (highest power of 2 < DBL_MAX_10_EXP) / 16 */ 312 /* Quick_max = floor((P-1)*log(FLT_RADIX)/log(10) - 1) */ 313 /* Int_max = floor(P*log(FLT_RADIX)/log(10) - 1) */ 314 315 #ifdef IEEE_Arith 316 #define Exp_shift 20 317 #define Exp_shift1 20 318 #define Exp_msk1 0x100000 319 #define Exp_msk11 0x100000 320 #define Exp_mask 0x7ff00000 321 #define P 53 322 #define Bias 1023 323 #define Emin (-1022) 324 #define Exp_1 0x3ff00000 325 #define Exp_11 0x3ff00000 326 #define Ebits 11 327 #define Frac_mask 0xfffff 328 #define Frac_mask1 0xfffff 329 #define Ten_pmax 22 330 #define Bletch 0x10 331 #define Bndry_mask 0xfffff 332 #define Bndry_mask1 0xfffff 333 #define LSB 1 334 #define Sign_bit 0x80000000 335 #define Log2P 1 336 #define Tiny0 0 337 #define Tiny1 1 338 #define Quick_max 14 339 #define Int_max 14 340 341 #ifndef Flt_Rounds 342 #ifdef FLT_ROUNDS 343 #define Flt_Rounds FLT_ROUNDS 344 #else 345 #define Flt_Rounds 1 346 #endif 347 #endif /*Flt_Rounds*/ 348 349 #else /* ifndef IEEE_Arith */ 350 #undef Sudden_Underflow 351 #define Sudden_Underflow 352 #ifdef IBM 353 #undef Flt_Rounds 354 #define Flt_Rounds 0 355 #define Exp_shift 24 356 #define Exp_shift1 24 357 #define Exp_msk1 0x1000000 358 #define Exp_msk11 0x1000000 359 #define Exp_mask 0x7f000000 360 #define P 14 361 #define Bias 65 362 #define Exp_1 0x41000000 363 #define Exp_11 0x41000000 364 #define Ebits 8 /* exponent has 7 bits, but 8 is the right value in b2d */ 365 #define Frac_mask 0xffffff 366 #define Frac_mask1 0xffffff 367 #define Bletch 4 368 #define Ten_pmax 22 369 #define Bndry_mask 0xefffff 370 #define Bndry_mask1 0xffffff 371 #define LSB 1 372 #define Sign_bit 0x80000000 373 #define Log2P 4 374 #define Tiny0 0x100000 375 #define Tiny1 0 376 #define Quick_max 14 377 #define Int_max 15 378 #else /* VAX */ 379 #undef Flt_Rounds 380 #define Flt_Rounds 1 381 #define Exp_shift 23 382 #define Exp_shift1 7 383 #define Exp_msk1 0x80 384 #define Exp_msk11 0x800000 385 #define Exp_mask 0x7f80 386 #define P 56 387 #define Bias 129 388 #define Exp_1 0x40800000 389 #define Exp_11 0x4080 390 #define Ebits 8 391 #define Frac_mask 0x7fffff 392 #define Frac_mask1 0xffff007f 393 #define Ten_pmax 24 394 #define Bletch 2 395 #define Bndry_mask 0xffff007f 396 #define Bndry_mask1 0xffff007f 397 #define LSB 0x10000 398 #define Sign_bit 0x8000 399 #define Log2P 1 400 #define Tiny0 0x80 401 #define Tiny1 0 402 #define Quick_max 15 403 #define Int_max 15 404 #endif /* IBM, VAX */ 405 #endif /* IEEE_Arith */ 406 407 #ifndef IEEE_Arith 408 #define ROUND_BIASED 409 #endif 410 411 #ifdef RND_PRODQUOT 412 #define rounded_product(a,b) a = rnd_prod(a, b) 413 #define rounded_quotient(a,b) a = rnd_quot(a, b) 414 #ifdef KR_headers 415 extern double rnd_prod(), rnd_quot(); 416 #else 417 extern double rnd_prod(double, double), rnd_quot(double, double); 418 #endif 419 #else 420 #define rounded_product(a,b) a *= b 421 #define rounded_quotient(a,b) a /= b 422 #endif 423 424 #define Big0 (Frac_mask1 | Exp_msk1*(DBL_MAX_EXP+Bias-1)) 425 #define Big1 0xffffffff 426 427 #undef Pack_16 428 #ifndef Pack_32 429 #define Pack_32 430 #endif 431 432 #ifdef NO_LONG_LONG 433 #undef ULLong 434 #ifdef Just_16 435 #undef Pack_32 436 #define Pack_16 437 /* When Pack_32 is not defined, we store 16 bits per 32-bit Long. 438 * This makes some inner loops simpler and sometimes saves work 439 * during multiplications, but it often seems to make things slightly 440 * slower. Hence the default is now to store 32 bits per Long. 441 */ 442 #endif 443 #else /* long long available */ 444 #ifndef Llong 445 #define Llong long long 446 #endif 447 #ifndef ULLong 448 #define ULLong unsigned Llong 449 #endif 450 #endif /* NO_LONG_LONG */ 451 452 #ifdef Pack_32 453 #define ULbits 32 454 #define kshift 5 455 #define kmask 31 456 #define ALL_ON 0xffffffff 457 #else 458 #define ULbits 16 459 #define kshift 4 460 #define kmask 15 461 #define ALL_ON 0xffff 462 #endif 463 464 #define MULTIPLE_THREADS 465 extern pthread_mutex_t __gdtoa_locks[2]; 466 #define ACQUIRE_DTOA_LOCK(n) do { \ 467 if (__isthreaded) \ 468 _pthread_mutex_lock(&__gdtoa_locks[n]); \ 469 } while(0) 470 #define FREE_DTOA_LOCK(n) do { \ 471 if (__isthreaded) \ 472 _pthread_mutex_unlock(&__gdtoa_locks[n]); \ 473 } while(0) 474 475 #define Kmax 15 476 477 struct 478 Bigint { 479 struct Bigint *next; 480 int k, maxwds, sign, wds; 481 ULong x[1]; 482 }; 483 484 typedef struct Bigint Bigint; 485 486 #ifdef NO_STRING_H 487 #ifdef DECLARE_SIZE_T 488 typedef unsigned int size_t; 489 #endif 490 extern void memcpy_D2A ANSI((void*, const void*, size_t)); 491 #define Bcopy(x,y) memcpy_D2A(&x->sign,&y->sign,y->wds*sizeof(ULong) + 2*sizeof(int)) 492 #else /* !NO_STRING_H */ 493 #define Bcopy(x,y) memcpy(&x->sign,&y->sign,y->wds*sizeof(ULong) + 2*sizeof(int)) 494 #endif /* NO_STRING_H */ 495 496 /* 497 * Paranoia: Protect exported symbols, including ones in files we don't 498 * compile right now. The standard strtof and strtod survive. 499 */ 500 #define dtoa __dtoa 501 #define gdtoa __gdtoa 502 #define freedtoa __freedtoa 503 #define strtodg __strtodg 504 #define g_ddfmt __g_ddfmt 505 #define g_dfmt __g_dfmt 506 #define g_ffmt __g_ffmt 507 #define g_Qfmt __g_Qfmt 508 #define g_xfmt __g_xfmt 509 #define g_xLfmt __g_xLfmt 510 #define strtoId __strtoId 511 #define strtoIdd __strtoIdd 512 #define strtoIf __strtoIf 513 #define strtoIQ __strtoIQ 514 #define strtoIx __strtoIx 515 #define strtoIxL __strtoIxL 516 #define strtord __strtord 517 #define strtordd __strtordd 518 #define strtorf __strtorf 519 #define strtorQ __strtorQ 520 #define strtorx __strtorx 521 #define strtorxL __strtorxL 522 #define strtodI __strtodI 523 #define strtopd __strtopd 524 #define strtopdd __strtopdd 525 #define strtopf __strtopf 526 #define strtopQ __strtopQ 527 #define strtopx __strtopx 528 #define strtopxL __strtopxL 529 530 /* Protect gdtoa-internal symbols */ 531 #define Balloc __Balloc_D2A 532 #define Bfree __Bfree_D2A 533 #define ULtoQ __ULtoQ_D2A 534 #define ULtof __ULtof_D2A 535 #define ULtod __ULtod_D2A 536 #define ULtodd __ULtodd_D2A 537 #define ULtox __ULtox_D2A 538 #define ULtoxL __ULtoxL_D2A 539 #define any_on __any_on_D2A 540 #define b2d __b2d_D2A 541 #define bigtens __bigtens_D2A 542 #define cmp __cmp_D2A 543 #define copybits __copybits_D2A 544 #define d2b __d2b_D2A 545 #define decrement __decrement_D2A 546 #define diff __diff_D2A 547 #define dtoa_result __dtoa_result_D2A 548 #define g__fmt __g__fmt_D2A 549 #define gethex __gethex_D2A 550 #define hexdig __hexdig_D2A 551 #define hexdig_init_D2A __hexdig_init_D2A 552 #define hexnan __hexnan_D2A 553 #define hi0bits __hi0bits_D2A 554 #define hi0bits_D2A __hi0bits_D2A 555 #define i2b __i2b_D2A 556 #define increment __increment_D2A 557 #define lo0bits __lo0bits_D2A 558 #define lshift __lshift_D2A 559 #define match __match_D2A 560 #define mult __mult_D2A 561 #define multadd __multadd_D2A 562 #define nrv_alloc __nrv_alloc_D2A 563 #define pow5mult __pow5mult_D2A 564 #define quorem __quorem_D2A 565 #define ratio __ratio_D2A 566 #define rshift __rshift_D2A 567 #define rv_alloc __rv_alloc_D2A 568 #define s2b __s2b_D2A 569 #define set_ones __set_ones_D2A 570 #define strcp __strcp_D2A 571 #define strcp_D2A __strcp_D2A 572 #define strtoIg __strtoIg_D2A 573 #define sum __sum_D2A 574 #define tens __tens_D2A 575 #define tinytens __tinytens_D2A 576 #define tinytens __tinytens_D2A 577 #define trailz __trailz_D2A 578 #define ulp __ulp_D2A 579 580 extern char *dtoa_result; 581 extern CONST double bigtens[], tens[], tinytens[]; 582 extern unsigned char hexdig[]; 583 584 extern Bigint *Balloc ANSI((int)); 585 extern void Bfree ANSI((Bigint*)); 586 extern void ULtof ANSI((ULong*, ULong*, Long, int)); 587 extern void ULtod ANSI((ULong*, ULong*, Long, int)); 588 extern void ULtodd ANSI((ULong*, ULong*, Long, int)); 589 extern void ULtoQ ANSI((ULong*, ULong*, Long, int)); 590 extern void ULtox ANSI((UShort*, ULong*, Long, int)); 591 extern void ULtoxL ANSI((ULong*, ULong*, Long, int)); 592 extern ULong any_on ANSI((Bigint*, int)); 593 extern double b2d ANSI((Bigint*, int*)); 594 extern int cmp ANSI((Bigint*, Bigint*)); 595 extern void copybits ANSI((ULong*, int, Bigint*)); 596 extern Bigint *d2b ANSI((double, int*, int*)); 597 extern int decrement ANSI((Bigint*)); 598 extern Bigint *diff ANSI((Bigint*, Bigint*)); 599 extern char *dtoa ANSI((double d, int mode, int ndigits, 600 int *decpt, int *sign, char **rve)); 601 extern void freedtoa ANSI((char*)); 602 extern char *gdtoa ANSI((FPI *fpi, int be, ULong *bits, int *kindp, 603 int mode, int ndigits, int *decpt, char **rve)); 604 extern char *g__fmt ANSI((char*, char*, char*, int, ULong)); 605 extern int gethex ANSI((CONST char**, FPI*, Long*, Bigint**, int)); 606 extern void hexdig_init_D2A(Void); 607 extern int hexnan ANSI((CONST char**, FPI*, ULong*)); 608 extern int hi0bits ANSI((ULong)); 609 extern Bigint *i2b ANSI((int)); 610 extern Bigint *increment ANSI((Bigint*)); 611 extern int lo0bits ANSI((ULong*)); 612 extern Bigint *lshift ANSI((Bigint*, int)); 613 extern int match ANSI((CONST char**, char*)); 614 extern Bigint *mult ANSI((Bigint*, Bigint*)); 615 extern Bigint *multadd ANSI((Bigint*, int, int)); 616 extern char *nrv_alloc ANSI((char*, char **, int)); 617 extern Bigint *pow5mult ANSI((Bigint*, int)); 618 extern int quorem ANSI((Bigint*, Bigint*)); 619 extern double ratio ANSI((Bigint*, Bigint*)); 620 extern void rshift ANSI((Bigint*, int)); 621 extern char *rv_alloc ANSI((int)); 622 extern Bigint *s2b ANSI((CONST char*, int, int, ULong)); 623 extern Bigint *set_ones ANSI((Bigint*, int)); 624 extern char *strcp ANSI((char*, const char*)); 625 extern int strtodg ANSI((CONST char*, char**, FPI*, Long*, ULong*)); 626 627 extern int strtoId ANSI((CONST char *, char **, double *, double *)); 628 extern int strtoIdd ANSI((CONST char *, char **, double *, double *)); 629 extern int strtoIf ANSI((CONST char *, char **, float *, float *)); 630 extern int strtoIg ANSI((CONST char*, char**, FPI*, Long*, Bigint**, int*)); 631 extern int strtoIQ ANSI((CONST char *, char **, void *, void *)); 632 extern int strtoIx ANSI((CONST char *, char **, void *, void *)); 633 extern int strtoIxL ANSI((CONST char *, char **, void *, void *)); 634 extern double strtod ANSI((const char *s00, char **se)); 635 extern int strtopQ ANSI((CONST char *, char **, Void *)); 636 extern int strtopf ANSI((CONST char *, char **, float *)); 637 extern int strtopd ANSI((CONST char *, char **, double *)); 638 extern int strtopdd ANSI((CONST char *, char **, double *)); 639 extern int strtopx ANSI((CONST char *, char **, Void *)); 640 extern int strtopxL ANSI((CONST char *, char **, Void *)); 641 extern int strtord ANSI((CONST char *, char **, int, double *)); 642 extern int strtordd ANSI((CONST char *, char **, int, double *)); 643 extern int strtorf ANSI((CONST char *, char **, int, float *)); 644 extern int strtorQ ANSI((CONST char *, char **, int, void *)); 645 extern int strtorx ANSI((CONST char *, char **, int, void *)); 646 extern int strtorxL ANSI((CONST char *, char **, int, void *)); 647 extern Bigint *sum ANSI((Bigint*, Bigint*)); 648 extern int trailz ANSI((Bigint*)); 649 extern double ulp ANSI((double)); 650 651 #ifdef __cplusplus 652 } 653 #endif 654 /* 655 * NAN_WORD0 and NAN_WORD1 are only referenced in strtod.c. Prior to 656 * 20050115, they used to be hard-wired here (to 0x7ff80000 and 0, 657 * respectively), but now are determined by compiling and running 658 * qnan.c to generate gd_qnan.h, which specifies d_QNAN0 and d_QNAN1. 659 * Formerly gdtoaimp.h recommended supplying suitable -DNAN_WORD0=... 660 * and -DNAN_WORD1=... values if necessary. This should still work. 661 * (On HP Series 700/800 machines, -DNAN_WORD0=0x7ff40000 works.) 662 */ 663 #ifdef IEEE_Arith 664 #ifdef IEEE_MC68k 665 #define _0 0 666 #define _1 1 667 #ifndef NAN_WORD0 668 #define NAN_WORD0 d_QNAN0 669 #endif 670 #ifndef NAN_WORD1 671 #define NAN_WORD1 d_QNAN1 672 #endif 673 #else 674 #define _0 1 675 #define _1 0 676 #ifndef NAN_WORD0 677 #define NAN_WORD0 d_QNAN1 678 #endif 679 #ifndef NAN_WORD1 680 #define NAN_WORD1 d_QNAN0 681 #endif 682 #endif 683 #else 684 #undef INFNAN_CHECK 685 #endif 686 687 #undef SI 688 #ifdef Sudden_Underflow 689 #define SI 1 690 #else 691 #define SI 0 692 #endif 693 694 #endif /* GDTOAIMP_H_INCLUDED */ 695