| 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. |
| 123 | * #define Omit_Private_Memory to omit logic (added Jan. 1998) for making |
| 124 | *	memory allocations from a private pool of memory when possible. |
| 125 | *	When used, the private pool is PRIVATE_MEM bytes long: 2304 bytes, |
| 126 | *	unless #defined to be a different length. This default length |
| 127 | *	suffices to get rid of MALLOC calls except for unusual cases, |
| 128 | *	such as decimal-to-binary conversion of a very long string of |
| 129 | *	digits. When converting IEEE double precision values, the |
| 130 | *	longest string gdtoa can return is about 751 bytes long. For |
| 131 | *	conversions by strtod of strings of 800 digits and all gdtoa |
| 132 | *	conversions of IEEE doubles in single-threaded executions with |
| 133 | *	8-byte pointers, PRIVATE_MEM >= 7400 appears to suffice; with |
| 134 | *	4-byte pointers, PRIVATE_MEM >= 7112 appears adequate. |
| 135 | * #define NO_INFNAN_CHECK if you do not wish to have INFNAN_CHECK |
| 136 | *	#defined automatically on IEEE systems. On such systems, |
| 137 | *	when INFNAN_CHECK is #defined, strtod checks |
| 138 | *	for Infinity and NaN (case insensitively). |
| 139 | *	When INFNAN_CHECK is #defined and No_Hex_NaN is not #defined, |
| 140 | *	strtodg also accepts (case insensitively) strings of the form |
| 141 | *	NaN(x), where x is a string of hexadecimal digits (optionally |
| 142 | *	preceded by 0x or 0X) and spaces; if there is only one string |
| 143 | *	of hexadecimal digits, it is taken for the fraction bits of the |
| 144 | *	resulting NaN; if there are two or more strings of hexadecimal |
| 145 | *	digits, each string is assigned to the next available sequence |
| 146 | *	of 32-bit words of fractions bits (starting with the most |
| 147 | *	significant), right-aligned in each sequence. |
| 148 | *	Unless GDTOA_NON_PEDANTIC_NANCHECK is #defined, input "NaN(...)" |
| 149 | *	is consumed even when ... has the wrong form (in which case the |
| 150 | *	"(...)" is consumed but ignored). |
| 151 | * #define MULTIPLE_THREADS if the system offers preemptively scheduled |
| 152 | *	multiple threads. In this case, you must provide (or suitably |
| 153 | *	#define) two locks, acquired by ACQUIRE_DTOA_LOCK(n) and freed |
| 154 | *	by FREE_DTOA_LOCK(n) for n = 0 or 1. (The second lock, accessed |
| 155 | *	in pow5mult, ensures lazy evaluation of only one copy of high |
| 156 | *	powers of 5; omitting this lock would introduce a small |
| 157 | *	probability of wasting memory, but would otherwise be harmless.) |
| 158 | *	You must also invoke freedtoa(s) to free the value s returned by |
| 159 | *	dtoa. You may do so whether or not MULTIPLE_THREADS is #defined. |
| 160 | * #define IMPRECISE_INEXACT if you do not care about the setting of |
| 161 | *	the STRTOG_Inexact bits in the special case of doing IEEE double |
| 162 | *	precision conversions (which could also be done by the strtog in |
| 163 | *	dtoa.c). |
| 164 | * #define NO_HEX_FP to disable recognition of C9x's hexadecimal |
| 165 | *	floating-point constants. |
| 166 | * #define -DNO_ERRNO to suppress setting errno (in strtod.c and |
| 167 | *	strtodg.c). |
| 168 | * #define NO_STRING_H to use private versions of memcpy. |
| 169 | *	On some K&R systems, it may also be necessary to |
| 170 | *	#define DECLARE_SIZE_T in this case. |
| 171 | * #define USE_LOCALE to use the current locale's decimal_point value. |
| 172 | */ |
| 173 | |
| 174 | #ifndef GDTOAIMP_H_INCLUDED |
| 175 | #define GDTOAIMP_H_INCLUDED |
| 176 | #include "gdtoa.h" |
| 177 | #include "gd_qnan.h" |
| 178 | |
| 179 | #if defined(__MINGW32__) || defined(__MINGW64__) |
| 180 | #define MULTIPLE_THREADS 1 |
| 181 | #define USE_LOCALE 1 |
| 182 | #define NO_LOCALE_CACHE 1 |
| 183 | #endif		/* MinGW */ |
| 184 | |
| 185 | #ifdef Honor_FLT_ROUNDS |
| 186 | #include <fenv.h> |
| 187 | #endif |
| 188 | |
| 189 | #ifdef DEBUG |
| 190 | #include <stdio.h> |
| 191 | #define Bug(x) {fprintf(stderr, "%s\n", x); exit(1);} |
| 192 | #endif |
| 193 | |
| 194 | #include <stdlib.h> |
| 195 | #include <string.h> |
| 196 | |
| 197 | #ifdef MALLOC |
| 198 | extern void *MALLOC (size_t); |
| 199 | #else |
| 200 | #define MALLOC malloc |
| 201 | #endif |
| 202 | |
| 203 | #ifdef REALLOC |
| 204 | extern void *REALLOC (void*, size_t); |
| 205 | #else |
| 206 | #define REALLOC realloc |
| 207 | #endif |
| 208 | |
| 209 | #undef IEEE_Arith |
| 210 | #undef Avoid_Underflow |
| 211 | #ifdef IEEE_MC68k |
| 212 | #define IEEE_Arith |
| 213 | #endif |
| 214 | #ifdef IEEE_8087 |
| 215 | #define IEEE_Arith |
| 216 | #endif |
| 217 | |
| 218 | #include <errno.h> |
| 219 | |
| 220 | #ifdef NO_ERRNO |
| 221 | #define SET_ERRNO(x) |
| 222 | #else |
| 223 | #define SET_ERRNO(x) \ |
| 224 | 	errno = (x) |
| 225 | #endif |
| 226 | |
| 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 _dbl_union { double d; ULong L[2]; } dbl_union; |
| 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 | extern double rnd_prod(double, double), rnd_quot(double, double); |
| 421 | #else |
| 422 | #define rounded_product(a,b) a *= b |
| 423 | #define rounded_quotient(a,b) a /= b |
| 424 | #endif |
| 425 | |
| 426 | #define Big0 (Frac_mask1 | Exp_msk1*(DBL_MAX_EXP+Bias-1)) |
| 427 | #define Big1 0xffffffff |
| 428 | |
| 429 | #undef Pack_16 |
| 430 | #ifndef Pack_32 |
| 431 | #define Pack_32 |
| 432 | #endif |
| 433 | |
| 434 | #ifdef NO_LONG_LONG |
| 435 | #undef ULLong |
| 436 | #ifdef Just_16 |
| 437 | #undef Pack_32 |
| 438 | #define Pack_16 |
| 439 | /* When Pack_32 is not defined, we store 16 bits per 32-bit Long. |
| 440 | * This makes some inner loops simpler and sometimes saves work |
| 441 | * during multiplications, but it often seems to make things slightly |
| 442 | * slower. Hence the default is now to store 32 bits per Long. |
| 443 | */ |
| 444 | #endif |
| 445 | #else	/* long long available */ |
| 446 | #ifndef Llong |
| 447 | #define Llong long long |
| 448 | #endif |
| 449 | #ifndef ULLong |
| 450 | #define ULLong unsigned Llong |
| 451 | #endif |
| 452 | #endif /* NO_LONG_LONG */ |
| 453 | |
| 454 | #ifdef Pack_32 |
| 455 | #define ULbits 32 |
| 456 | #define kshift 5 |
| 457 | #define kmask 31 |
| 458 | #define ALL_ON 0xffffffff |
| 459 | #else |
| 460 | #define ULbits 16 |
| 461 | #define kshift 4 |
| 462 | #define kmask 15 |
| 463 | #define ALL_ON 0xffff |
| 464 | #endif |
| 465 | |
| 466 | #ifdef MULTIPLE_THREADS /*{{*/ |
| 467 | extern void ACQUIRE_DTOA_LOCK (unsigned int); |
| 468 | extern void FREE_DTOA_LOCK (unsigned int); |
| 469 | #else /*}{*/ |
| 470 | #define ACQUIRE_DTOA_LOCK(n)	/*nothing*/ |
| 471 | #define FREE_DTOA_LOCK(n)	/*nothing*/ |
| 472 | #endif /*}}*/ |
| 473 | |
| 474 | #define Kmax 9 |
| 475 | |
| 476 | #define Bigint __Bigint |
| 477 | struct |
| 478 | Bigint { |
| 479 | 	struct Bigint *next; |
| 480 | 	int k, maxwds, sign, wds; |
| 481 | 	ULong x[1]; |
| 482 | }; |
| 483 | typedef struct Bigint Bigint; |
| 484 | |
| 485 | #ifdef NO_STRING_H |
| 486 | #ifdef DECLARE_SIZE_T |
| 487 | typedef unsigned int size_t; |
| 488 | #endif |
| 489 | extern void memcpy_D2A (void*, const void*, size_t); |
| 490 | #define Bcopy(x,y) memcpy_D2A(&x->sign,&y->sign,y->wds*sizeof(ULong) + 2*sizeof(int)) |
| 491 | #else /* !NO_STRING_H */ |
| 492 | #define Bcopy(x,y) memcpy(&x->sign,&y->sign,y->wds*sizeof(ULong) + 2*sizeof(int)) |
| 493 | #endif /* NO_STRING_H */ |
| 494 | |
| 495 | #ifdef __GNUC__ |
| 496 | static inline int |
| 497 | __lo0bits_D2A (ULong *y) |
| 498 | { |
| 499 | 	int ret = __builtin_ctz(*y); |
| 500 | 	*y = *y >> ret; |
| 501 | 	return ret; |
| 502 | } |
| 503 | |
| 504 | static inline int |
| 505 | __hi0bits_D2A (ULong y) |
| 506 | { |
| 507 | 	return __builtin_clz(y); |
| 508 | } |
| 509 | #endif |
| 510 | |
| 511 | #define Balloc __Balloc_D2A |
| 512 | #define Bfree __Bfree_D2A |
| 513 | #define InfName __InfName_D2A |
| 514 | #define NanName __NanName_D2A |
| 515 | #define ULtoQ __ULtoQ_D2A |
| 516 | #define ULtof __ULtof_D2A |
| 517 | #define ULtod __ULtod_D2A |
| 518 | #define ULtodd __ULtodd_D2A |
| 519 | #define ULtox __ULtox_D2A |
| 520 | #define ULtoxL __ULtoxL_D2A |
| 521 | #define add_nanbits __add_nanbits_D2A |
| 522 | #define any_on __any_on_D2A |
| 523 | #define b2d __b2d_D2A |
| 524 | #define bigtens __bigtens_D2A |
| 525 | #define cmp __cmp_D2A |
| 526 | #define copybits __copybits_D2A |
| 527 | #define d2b __d2b_D2A |
| 528 | #define decrement __decrement_D2A |
| 529 | #define diff __diff_D2A |
| 530 | #define dtoa_result __dtoa_result_D2A |
| 531 | #define gethex __gethex_D2A |
| 532 | #define hexdig __hexdig_D2A |
| 533 | #define hexnan __hexnan_D2A |
| 534 | #define hi0bits_D2A __hi0bits_D2A |
| 535 | #define hi0bits(x) __hi0bits_D2A((ULong)(x)) |
| 536 | #define i2b __i2b_D2A |
| 537 | #define increment __increment_D2A |
| 538 | #define lo0bits __lo0bits_D2A |
| 539 | #define lshift __lshift_D2A |
| 540 | #define match __match_D2A |
| 541 | #define mult __mult_D2A |
| 542 | #define multadd __multadd_D2A |
| 543 | #define nrv_alloc __nrv_alloc_D2A |
| 544 | #define pow5mult __pow5mult_D2A |
| 545 | #define quorem __quorem_D2A |
| 546 | #define ratio __ratio_D2A |
| 547 | #define rshift __rshift_D2A |
| 548 | #define rv_alloc __rv_alloc_D2A |
| 549 | #define s2b __s2b_D2A |
| 550 | #define set_ones __set_ones_D2A |
| 551 | #define strcp_D2A __strcp_D2A |
| 552 | #define strcp __strcp_D2A |
| 553 | #define strtoIg __strtoIg_D2A |
| 554 | #define sum __sum_D2A |
| 555 | #define tens __tens_D2A |
| 556 | #define tinytens __tinytens_D2A |
| 557 | #define tinytens __tinytens_D2A |
| 558 | #define trailz __trailz_D2A |
| 559 | #define ulp __ulp_D2A |
| 560 | |
| 561 | #define hexdig_init_D2A __mingw_hexdig_init_D2A |
| 562 | |
| 563 | extern char *add_nanbits (char*, size_t, ULong*, int); |
| 564 | extern char *dtoa_result; |
| 565 | extern const double bigtens[], tens[], tinytens[]; |
| 566 | extern unsigned char hexdig[]; |
| 567 | extern const char *InfName[6], *NanName[3]; |
| 568 | |
| 569 | extern Bigint *Balloc (int); |
| 570 | extern void Bfree (Bigint*); |
| 571 | extern void ULtof (ULong*, ULong*, Long, int); |
| 572 | extern void ULtod (ULong*, ULong*, Long, int); |
| 573 | extern void ULtodd (ULong*, ULong*, Long, int); |
| 574 | extern void ULtoQ (ULong*, ULong*, Long, int); |
| 575 | extern void ULtox (UShort*, ULong*, Long, int); |
| 576 | extern void ULtoxL (ULong*, ULong*, Long, int); |
| 577 | extern ULong any_on (Bigint*, int); |
| 578 | extern double b2d (Bigint*, int*); |
| 579 | extern int cmp (Bigint*, Bigint*); |
| 580 | extern void copybits (ULong*, int, Bigint*); |
| 581 | extern Bigint *d2b (double, int*, int*); |
| 582 | extern void decrement (Bigint*); |
| 583 | extern Bigint *diff (Bigint*, Bigint*); |
| 584 | extern int gethex (const char**, const FPI*, Long*, Bigint**, int); |
| 585 | extern void hexdig_init_D2A(void); |
| 586 | extern int hexnan (const char**, const FPI*, ULong*); |
| 587 | extern int hi0bits_D2A (ULong); |
| 588 | extern Bigint *i2b (int); |
| 589 | extern Bigint *increment (Bigint*); |
| 590 | extern int lo0bits (ULong*); |
| 591 | extern Bigint *lshift (Bigint*, int); |
| 592 | extern int match (const char**, char*); |
| 593 | extern Bigint *mult (Bigint*, Bigint*); |
| 594 | extern Bigint *multadd (Bigint*, int, int); |
| 595 | extern char *nrv_alloc (char*, char **, int); |
| 596 | extern Bigint *pow5mult (Bigint*, int); |
| 597 | extern int quorem (Bigint*, Bigint*); |
| 598 | extern double ratio (Bigint*, Bigint*); |
| 599 | extern void rshift (Bigint*, int); |
| 600 | extern char *rv_alloc (int); |
| 601 | extern Bigint *s2b (const char*, int, int, ULong, int); |
| 602 | extern Bigint *set_ones (Bigint*, int); |
| 603 | extern char *strcp (char*, const char*); |
| 604 | extern Bigint *sum (Bigint*, Bigint*); |
| 605 | extern int trailz (Bigint*); |
| 606 | extern double ulp (dbl_union *); |
| 607 | |
| 608 | #ifdef __cplusplus |
| 609 | } |
| 610 | #endif |
| 611 | /* |
| 612 | * NAN_WORD0 and NAN_WORD1 are only referenced in strtod.c. Prior to |
| 613 | * 20050115, they used to be hard-wired here (to 0x7ff80000 and 0, |
| 614 | * respectively), but now are determined by compiling and running |
| 615 | * qnan.c to generate gd_qnan.h, which specifies d_QNAN0 and d_QNAN1. |
| 616 | * Formerly gdtoaimp.h recommended supplying suitable -DNAN_WORD0=... |
| 617 | * and -DNAN_WORD1=... values if necessary. This should still work. |
| 618 | * (On HP Series 700/800 machines, -DNAN_WORD0=0x7ff40000 works.) |
| 619 | */ |
| 620 | #ifdef IEEE_Arith |
| 621 | #ifndef NO_INFNAN_CHECK |
| 622 | #undef INFNAN_CHECK |
| 623 | #define INFNAN_CHECK |
| 624 | #endif |
| 625 | #ifdef IEEE_MC68k |
| 626 | #define _0 0 |
| 627 | #define _1 1 |
| 628 | #ifndef NAN_WORD0 |
| 629 | #define NAN_WORD0 d_QNAN0 |
| 630 | #endif |
| 631 | #ifndef NAN_WORD1 |
| 632 | #define NAN_WORD1 d_QNAN1 |
| 633 | #endif |
| 634 | #else |
| 635 | #define _0 1 |
| 636 | #define _1 0 |
| 637 | #ifndef NAN_WORD0 |
| 638 | #define NAN_WORD0 d_QNAN1 |
| 639 | #endif |
| 640 | #ifndef NAN_WORD1 |
| 641 | #define NAN_WORD1 d_QNAN0 |
| 642 | #endif |
| 643 | #endif |
| 644 | #else |
| 645 | #undef INFNAN_CHECK |
| 646 | #endif |
| 647 | |
| 648 | #undef SI |
| 649 | #ifdef Sudden_Underflow |
| 650 | #define SI 1 |
| 651 | #else |
| 652 | #define SI 0 |
| 653 | #endif |
| 654 | |
| 655 | #endif /* GDTOAIMP_H_INCLUDED */ |