gdtoaimp.h revision 1.2 1 1.2 kleink /* $NetBSD: gdtoaimp.h,v 1.2 2006/01/25 15:27:42 kleink Exp $ */
2 1.1 kleink
3 1.1 kleink /****************************************************************
4 1.1 kleink
5 1.1 kleink The author of this software is David M. Gay.
6 1.1 kleink
7 1.1 kleink Copyright (C) 1998-2000 by Lucent Technologies
8 1.1 kleink All Rights Reserved
9 1.1 kleink
10 1.1 kleink Permission to use, copy, modify, and distribute this software and
11 1.1 kleink its documentation for any purpose and without fee is hereby
12 1.1 kleink granted, provided that the above copyright notice appear in all
13 1.1 kleink copies and that both that the copyright notice and this
14 1.1 kleink permission notice and warranty disclaimer appear in supporting
15 1.1 kleink documentation, and that the name of Lucent or any of its entities
16 1.1 kleink not be used in advertising or publicity pertaining to
17 1.1 kleink distribution of the software without specific, written prior
18 1.1 kleink permission.
19 1.1 kleink
20 1.1 kleink LUCENT DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE,
21 1.1 kleink INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS.
22 1.1 kleink IN NO EVENT SHALL LUCENT OR ANY OF ITS ENTITIES BE LIABLE FOR ANY
23 1.1 kleink SPECIAL, INDIRECT OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
24 1.1 kleink WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER
25 1.1 kleink IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION,
26 1.1 kleink ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF
27 1.1 kleink THIS SOFTWARE.
28 1.1 kleink
29 1.1 kleink ****************************************************************/
30 1.1 kleink
31 1.1 kleink /* This is a variation on dtoa.c that converts arbitary binary
32 1.1 kleink floating-point formats to and from decimal notation. It uses
33 1.1 kleink double-precision arithmetic internally, so there are still
34 1.1 kleink various #ifdefs that adapt the calculations to the native
35 1.1 kleink double-precision arithmetic (any of IEEE, VAX D_floating,
36 1.1 kleink or IBM mainframe arithmetic).
37 1.1 kleink
38 1.1 kleink Please send bug reports to David M. Gay (dmg at acm dot org,
39 1.1 kleink with " at " changed at "@" and " dot " changed to ".").
40 1.1 kleink */
41 1.1 kleink
42 1.1 kleink /* On a machine with IEEE extended-precision registers, it is
43 1.1 kleink * necessary to specify double-precision (53-bit) rounding precision
44 1.1 kleink * before invoking strtod or dtoa. If the machine uses (the equivalent
45 1.1 kleink * of) Intel 80x87 arithmetic, the call
46 1.1 kleink * _control87(PC_53, MCW_PC);
47 1.1 kleink * does this with many compilers. Whether this or another call is
48 1.1 kleink * appropriate depends on the compiler; for this to work, it may be
49 1.1 kleink * necessary to #include "float.h" or another system-dependent header
50 1.1 kleink * file.
51 1.1 kleink */
52 1.1 kleink
53 1.1 kleink /* strtod for IEEE-, VAX-, and IBM-arithmetic machines.
54 1.1 kleink *
55 1.1 kleink * This strtod returns a nearest machine number to the input decimal
56 1.1 kleink * string (or sets errno to ERANGE). With IEEE arithmetic, ties are
57 1.1 kleink * broken by the IEEE round-even rule. Otherwise ties are broken by
58 1.1 kleink * biased rounding (add half and chop).
59 1.1 kleink *
60 1.1 kleink * Inspired loosely by William D. Clinger's paper "How to Read Floating
61 1.1 kleink * Point Numbers Accurately" [Proc. ACM SIGPLAN '90, pp. 112-126].
62 1.1 kleink *
63 1.1 kleink * Modifications:
64 1.1 kleink *
65 1.1 kleink * 1. We only require IEEE, IBM, or VAX double-precision
66 1.1 kleink * arithmetic (not IEEE double-extended).
67 1.1 kleink * 2. We get by with floating-point arithmetic in a case that
68 1.1 kleink * Clinger missed -- when we're computing d * 10^n
69 1.1 kleink * for a small integer d and the integer n is not too
70 1.1 kleink * much larger than 22 (the maximum integer k for which
71 1.1 kleink * we can represent 10^k exactly), we may be able to
72 1.1 kleink * compute (d*10^k) * 10^(e-k) with just one roundoff.
73 1.1 kleink * 3. Rather than a bit-at-a-time adjustment of the binary
74 1.1 kleink * result in the hard case, we use floating-point
75 1.1 kleink * arithmetic to determine the adjustment to within
76 1.1 kleink * one bit; only in really hard cases do we need to
77 1.1 kleink * compute a second residual.
78 1.1 kleink * 4. Because of 3., we don't need a large table of powers of 10
79 1.1 kleink * for ten-to-e (just some small tables, e.g. of 10^k
80 1.1 kleink * for 0 <= k <= 22).
81 1.1 kleink */
82 1.1 kleink
83 1.1 kleink /*
84 1.2 kleink * #define IEEE_LITTLE_ENDIAN for IEEE-arithmetic machines where the least
85 1.1 kleink * significant byte has the lowest address.
86 1.2 kleink * #define IEEE_BIG_ENDIAN for IEEE-arithmetic machines where the most
87 1.1 kleink * significant byte has the lowest address.
88 1.1 kleink * #define Long int on machines with 32-bit ints and 64-bit longs.
89 1.1 kleink * #define Sudden_Underflow for IEEE-format machines without gradual
90 1.1 kleink * underflow (i.e., that flush to zero on underflow).
91 1.1 kleink * #define IBM for IBM mainframe-style floating-point arithmetic.
92 1.1 kleink * #define VAX for VAX-style floating-point arithmetic (D_floating).
93 1.1 kleink * #define No_leftright to omit left-right logic in fast floating-point
94 1.1 kleink * computation of dtoa.
95 1.1 kleink * #define Check_FLT_ROUNDS if FLT_ROUNDS can assume the values 2 or 3.
96 1.1 kleink * #define RND_PRODQUOT to use rnd_prod and rnd_quot (assembly routines
97 1.1 kleink * that use extended-precision instructions to compute rounded
98 1.1 kleink * products and quotients) with IBM.
99 1.1 kleink * #define ROUND_BIASED for IEEE-format with biased rounding.
100 1.1 kleink * #define Inaccurate_Divide for IEEE-format with correctly rounded
101 1.1 kleink * products but inaccurate quotients, e.g., for Intel i860.
102 1.1 kleink * #define NO_LONG_LONG on machines that do not have a "long long"
103 1.1 kleink * integer type (of >= 64 bits). On such machines, you can
104 1.1 kleink * #define Just_16 to store 16 bits per 32-bit Long when doing
105 1.1 kleink * high-precision integer arithmetic. Whether this speeds things
106 1.1 kleink * up or slows things down depends on the machine and the number
107 1.1 kleink * being converted. If long long is available and the name is
108 1.1 kleink * something other than "long long", #define Llong to be the name,
109 1.1 kleink * and if "unsigned Llong" does not work as an unsigned version of
110 1.1 kleink * Llong, #define #ULLong to be the corresponding unsigned type.
111 1.1 kleink * #define KR_headers for old-style C function headers.
112 1.1 kleink * #define Bad_float_h if your system lacks a float.h or if it does not
113 1.1 kleink * define some or all of DBL_DIG, DBL_MAX_10_EXP, DBL_MAX_EXP,
114 1.1 kleink * FLT_RADIX, FLT_ROUNDS, and DBL_MAX.
115 1.1 kleink * #define MALLOC your_malloc, where your_malloc(n) acts like malloc(n)
116 1.1 kleink * if memory is available and otherwise does something you deem
117 1.1 kleink * appropriate. If MALLOC is undefined, malloc will be invoked
118 1.1 kleink * directly -- and assumed always to succeed.
119 1.1 kleink * #define Omit_Private_Memory to omit logic (added Jan. 1998) for making
120 1.1 kleink * memory allocations from a private pool of memory when possible.
121 1.1 kleink * When used, the private pool is PRIVATE_MEM bytes long: 2304 bytes,
122 1.1 kleink * unless #defined to be a different length. This default length
123 1.1 kleink * suffices to get rid of MALLOC calls except for unusual cases,
124 1.1 kleink * such as decimal-to-binary conversion of a very long string of
125 1.1 kleink * digits. When converting IEEE double precision values, the
126 1.1 kleink * longest string gdtoa can return is about 751 bytes long. For
127 1.1 kleink * conversions by strtod of strings of 800 digits and all gdtoa
128 1.1 kleink * conversions of IEEE doubles in single-threaded executions with
129 1.1 kleink * 8-byte pointers, PRIVATE_MEM >= 7400 appears to suffice; with
130 1.1 kleink * 4-byte pointers, PRIVATE_MEM >= 7112 appears adequate.
131 1.1 kleink * #define INFNAN_CHECK on IEEE systems to cause strtod to check for
132 1.1 kleink * Infinity and NaN (case insensitively).
133 1.1 kleink * When INFNAN_CHECK is #defined and No_Hex_NaN is not #defined,
134 1.1 kleink * strtodg also accepts (case insensitively) strings of the form
135 1.1 kleink * NaN(x), where x is a string of hexadecimal digits and spaces;
136 1.1 kleink * if there is only one string of hexadecimal digits, it is taken
137 1.1 kleink * for the fraction bits of the resulting NaN; if there are two or
138 1.1 kleink * more strings of hexadecimal digits, each string is assigned
139 1.1 kleink * to the next available sequence of 32-bit words of fractions
140 1.1 kleink * bits (starting with the most significant), right-aligned in
141 1.1 kleink * each sequence.
142 1.1 kleink * #define MULTIPLE_THREADS if the system offers preemptively scheduled
143 1.1 kleink * multiple threads. In this case, you must provide (or suitably
144 1.1 kleink * #define) two locks, acquired by ACQUIRE_DTOA_LOCK(n) and freed
145 1.1 kleink * by FREE_DTOA_LOCK(n) for n = 0 or 1. (The second lock, accessed
146 1.1 kleink * in pow5mult, ensures lazy evaluation of only one copy of high
147 1.1 kleink * powers of 5; omitting this lock would introduce a small
148 1.1 kleink * probability of wasting memory, but would otherwise be harmless.)
149 1.1 kleink * You must also invoke freedtoa(s) to free the value s returned by
150 1.1 kleink * dtoa. You may do so whether or not MULTIPLE_THREADS is #defined.
151 1.1 kleink * #define IMPRECISE_INEXACT if you do not care about the setting of
152 1.1 kleink * the STRTOG_Inexact bits in the special case of doing IEEE double
153 1.1 kleink * precision conversions (which could also be done by the strtog in
154 1.1 kleink * dtoa.c).
155 1.1 kleink * #define NO_HEX_FP to disable recognition of C9x's hexadecimal
156 1.1 kleink * floating-point constants.
157 1.1 kleink * #define -DNO_ERRNO to suppress setting errno (in strtod.c and
158 1.1 kleink * strtodg.c).
159 1.1 kleink * #define NO_STRING_H to use private versions of memcpy.
160 1.1 kleink * On some K&R systems, it may also be necessary to
161 1.1 kleink * #define DECLARE_SIZE_T in this case.
162 1.1 kleink * #define YES_ALIAS to permit aliasing certain double values with
163 1.1 kleink * arrays of ULongs. This leads to slightly better code with
164 1.1 kleink * some compilers and was always used prior to 19990916, but it
165 1.1 kleink * is not strictly legal and can cause trouble with aggressively
166 1.1 kleink * optimizing compilers (e.g., gcc 2.95.1 under -O2).
167 1.1 kleink * #define USE_LOCALE to use the current locale's decimal_point value.
168 1.1 kleink */
169 1.1 kleink
170 1.2 kleink /* #define IEEE_{BIG,LITTLE}_ENDIAN in ${ARCHDIR}/gdtoa/arith.h */
171 1.2 kleink
172 1.2 kleink #include <stdint.h>
173 1.2 kleink #define Long int32_t
174 1.2 kleink #define ULong uint32_t
175 1.2 kleink #define LLong int64_t
176 1.2 kleink #define ULLong uint64_t
177 1.2 kleink
178 1.2 kleink #define INFNAN_CHECK
179 1.2 kleink #define MULTIPLE_THREADS
180 1.2 kleink #define USE_LOCALE
181 1.2 kleink
182 1.1 kleink #ifndef GDTOAIMP_H_INCLUDED
183 1.1 kleink #define GDTOAIMP_H_INCLUDED
184 1.1 kleink #include "gdtoa.h"
185 1.1 kleink #include "gd_qnan.h"
186 1.1 kleink
187 1.1 kleink #ifdef DEBUG
188 1.1 kleink #include "stdio.h"
189 1.1 kleink #define Bug(x) {fprintf(stderr, "%s\n", x); exit(1);}
190 1.1 kleink #endif
191 1.1 kleink
192 1.1 kleink #include "stdlib.h"
193 1.1 kleink #include "string.h"
194 1.1 kleink
195 1.1 kleink #ifdef KR_headers
196 1.1 kleink #define Char char
197 1.1 kleink #else
198 1.1 kleink #define Char void
199 1.1 kleink #endif
200 1.1 kleink
201 1.1 kleink #ifdef MALLOC
202 1.1 kleink extern Char *MALLOC ANSI((size_t));
203 1.1 kleink #else
204 1.1 kleink #define MALLOC malloc
205 1.1 kleink #endif
206 1.1 kleink
207 1.1 kleink #undef IEEE_Arith
208 1.1 kleink #undef Avoid_Underflow
209 1.2 kleink #ifdef IEEE_BIG_ENDIAN
210 1.1 kleink #define IEEE_Arith
211 1.1 kleink #endif
212 1.2 kleink #ifdef IEEE_LITTLE_ENDIAN
213 1.1 kleink #define IEEE_Arith
214 1.1 kleink #endif
215 1.1 kleink
216 1.1 kleink #include "errno.h"
217 1.1 kleink #ifdef Bad_float_h
218 1.1 kleink
219 1.1 kleink #ifdef IEEE_Arith
220 1.1 kleink #define DBL_DIG 15
221 1.1 kleink #define DBL_MAX_10_EXP 308
222 1.1 kleink #define DBL_MAX_EXP 1024
223 1.1 kleink #define FLT_RADIX 2
224 1.1 kleink #define DBL_MAX 1.7976931348623157e+308
225 1.1 kleink #endif
226 1.1 kleink
227 1.1 kleink #ifdef IBM
228 1.1 kleink #define DBL_DIG 16
229 1.1 kleink #define DBL_MAX_10_EXP 75
230 1.1 kleink #define DBL_MAX_EXP 63
231 1.1 kleink #define FLT_RADIX 16
232 1.1 kleink #define DBL_MAX 7.2370055773322621e+75
233 1.1 kleink #endif
234 1.1 kleink
235 1.1 kleink #ifdef VAX
236 1.1 kleink #define DBL_DIG 16
237 1.1 kleink #define DBL_MAX_10_EXP 38
238 1.1 kleink #define DBL_MAX_EXP 127
239 1.1 kleink #define FLT_RADIX 2
240 1.1 kleink #define DBL_MAX 1.7014118346046923e+38
241 1.1 kleink #define n_bigtens 2
242 1.1 kleink #endif
243 1.1 kleink
244 1.1 kleink #ifndef LONG_MAX
245 1.1 kleink #define LONG_MAX 2147483647
246 1.1 kleink #endif
247 1.1 kleink
248 1.1 kleink #else /* ifndef Bad_float_h */
249 1.1 kleink #include "float.h"
250 1.1 kleink #endif /* Bad_float_h */
251 1.1 kleink
252 1.1 kleink #ifdef IEEE_Arith
253 1.1 kleink #define Scale_Bit 0x10
254 1.1 kleink #define n_bigtens 5
255 1.1 kleink #endif
256 1.1 kleink
257 1.1 kleink #ifdef IBM
258 1.1 kleink #define n_bigtens 3
259 1.1 kleink #endif
260 1.1 kleink
261 1.1 kleink #ifdef VAX
262 1.1 kleink #define n_bigtens 2
263 1.1 kleink #endif
264 1.1 kleink
265 1.1 kleink #include "math.h"
266 1.1 kleink
267 1.1 kleink #ifdef __cplusplus
268 1.1 kleink extern "C" {
269 1.1 kleink #endif
270 1.1 kleink
271 1.2 kleink #if defined(IEEE_LITTLE_ENDIAN) + defined(IEEE_BIG_ENDIAN) + defined(VAX) + defined(IBM) != 1
272 1.2 kleink Exactly one of IEEE_LITTLE_ENDIAN, IEEE_BIG_ENDIAN, VAX, or IBM should be defined.
273 1.1 kleink #endif
274 1.1 kleink
275 1.1 kleink typedef union { double d; ULong L[2]; } U;
276 1.1 kleink
277 1.1 kleink #ifdef YES_ALIAS
278 1.1 kleink #define dval(x) x
279 1.2 kleink #ifdef IEEE_LITTLE_ENDIAN
280 1.1 kleink #define word0(x) ((ULong *)&x)[1]
281 1.1 kleink #define word1(x) ((ULong *)&x)[0]
282 1.1 kleink #else
283 1.1 kleink #define word0(x) ((ULong *)&x)[0]
284 1.1 kleink #define word1(x) ((ULong *)&x)[1]
285 1.1 kleink #endif
286 1.1 kleink #else /* !YES_ALIAS */
287 1.2 kleink #ifdef IEEE_LITTLE_ENDIAN
288 1.2 kleink #define word0(x) ( /* LINTED */ (U*)&x)->L[1]
289 1.2 kleink #define word1(x) ( /* LINTED */ (U*)&x)->L[0]
290 1.1 kleink #else
291 1.2 kleink #define word0(x) ( /* LINTED */ (U*)&x)->L[0]
292 1.2 kleink #define word1(x) ( /* LINTED */ (U*)&x)->L[1]
293 1.1 kleink #endif
294 1.2 kleink #define dval(x) ( /* LINTED */ (U*)&x)->d
295 1.1 kleink #endif /* YES_ALIAS */
296 1.1 kleink
297 1.1 kleink /* The following definition of Storeinc is appropriate for MIPS processors.
298 1.1 kleink * An alternative that might be better on some machines is
299 1.1 kleink * #define Storeinc(a,b,c) (*a++ = b << 16 | c & 0xffff)
300 1.1 kleink */
301 1.2 kleink #if defined(IEEE_LITTLE_ENDIAN) + defined(VAX)
302 1.2 kleink #define Storeinc(a,b,c) \
303 1.2 kleink (((unsigned short *)(void *)a)[1] = (unsigned short)b, \
304 1.2 kleink ((unsigned short *)(void *)a)[0] = (unsigned short)c, \
305 1.2 kleink a++)
306 1.2 kleink #else
307 1.2 kleink #define Storeinc(a,b,c) \
308 1.2 kleink (((unsigned short *)(void *)a)[0] = (unsigned short)b, \
309 1.2 kleink ((unsigned short *)(void *)a)[1] = (unsigned short)c, \
310 1.2 kleink a++)
311 1.1 kleink #endif
312 1.1 kleink
313 1.1 kleink /* #define P DBL_MANT_DIG */
314 1.1 kleink /* Ten_pmax = floor(P*log(2)/log(5)) */
315 1.1 kleink /* Bletch = (highest power of 2 < DBL_MAX_10_EXP) / 16 */
316 1.1 kleink /* Quick_max = floor((P-1)*log(FLT_RADIX)/log(10) - 1) */
317 1.1 kleink /* Int_max = floor(P*log(FLT_RADIX)/log(10) - 1) */
318 1.1 kleink
319 1.1 kleink #ifdef IEEE_Arith
320 1.1 kleink #define Exp_shift 20
321 1.1 kleink #define Exp_shift1 20
322 1.1 kleink #define Exp_msk1 0x100000
323 1.1 kleink #define Exp_msk11 0x100000
324 1.1 kleink #define Exp_mask 0x7ff00000
325 1.1 kleink #define P 53
326 1.1 kleink #define Bias 1023
327 1.1 kleink #define Emin (-1022)
328 1.1 kleink #define Exp_1 0x3ff00000
329 1.1 kleink #define Exp_11 0x3ff00000
330 1.1 kleink #define Ebits 11
331 1.1 kleink #define Frac_mask 0xfffff
332 1.1 kleink #define Frac_mask1 0xfffff
333 1.1 kleink #define Ten_pmax 22
334 1.1 kleink #define Bletch 0x10
335 1.1 kleink #define Bndry_mask 0xfffff
336 1.1 kleink #define Bndry_mask1 0xfffff
337 1.1 kleink #define LSB 1
338 1.1 kleink #define Sign_bit 0x80000000
339 1.1 kleink #define Log2P 1
340 1.1 kleink #define Tiny0 0
341 1.1 kleink #define Tiny1 1
342 1.1 kleink #define Quick_max 14
343 1.1 kleink #define Int_max 14
344 1.1 kleink
345 1.1 kleink #ifndef Flt_Rounds
346 1.1 kleink #ifdef FLT_ROUNDS
347 1.1 kleink #define Flt_Rounds FLT_ROUNDS
348 1.1 kleink #else
349 1.1 kleink #define Flt_Rounds 1
350 1.1 kleink #endif
351 1.1 kleink #endif /*Flt_Rounds*/
352 1.1 kleink
353 1.1 kleink #else /* ifndef IEEE_Arith */
354 1.1 kleink #undef Sudden_Underflow
355 1.1 kleink #define Sudden_Underflow
356 1.1 kleink #ifdef IBM
357 1.1 kleink #undef Flt_Rounds
358 1.1 kleink #define Flt_Rounds 0
359 1.1 kleink #define Exp_shift 24
360 1.1 kleink #define Exp_shift1 24
361 1.1 kleink #define Exp_msk1 0x1000000
362 1.1 kleink #define Exp_msk11 0x1000000
363 1.1 kleink #define Exp_mask 0x7f000000
364 1.1 kleink #define P 14
365 1.1 kleink #define Bias 65
366 1.1 kleink #define Exp_1 0x41000000
367 1.1 kleink #define Exp_11 0x41000000
368 1.1 kleink #define Ebits 8 /* exponent has 7 bits, but 8 is the right value in b2d */
369 1.1 kleink #define Frac_mask 0xffffff
370 1.1 kleink #define Frac_mask1 0xffffff
371 1.1 kleink #define Bletch 4
372 1.1 kleink #define Ten_pmax 22
373 1.1 kleink #define Bndry_mask 0xefffff
374 1.1 kleink #define Bndry_mask1 0xffffff
375 1.1 kleink #define LSB 1
376 1.1 kleink #define Sign_bit 0x80000000
377 1.1 kleink #define Log2P 4
378 1.1 kleink #define Tiny0 0x100000
379 1.1 kleink #define Tiny1 0
380 1.1 kleink #define Quick_max 14
381 1.1 kleink #define Int_max 15
382 1.1 kleink #else /* VAX */
383 1.1 kleink #undef Flt_Rounds
384 1.1 kleink #define Flt_Rounds 1
385 1.1 kleink #define Exp_shift 23
386 1.1 kleink #define Exp_shift1 7
387 1.1 kleink #define Exp_msk1 0x80
388 1.1 kleink #define Exp_msk11 0x800000
389 1.1 kleink #define Exp_mask 0x7f80
390 1.1 kleink #define P 56
391 1.1 kleink #define Bias 129
392 1.1 kleink #define Exp_1 0x40800000
393 1.1 kleink #define Exp_11 0x4080
394 1.1 kleink #define Ebits 8
395 1.1 kleink #define Frac_mask 0x7fffff
396 1.1 kleink #define Frac_mask1 0xffff007f
397 1.1 kleink #define Ten_pmax 24
398 1.1 kleink #define Bletch 2
399 1.1 kleink #define Bndry_mask 0xffff007f
400 1.1 kleink #define Bndry_mask1 0xffff007f
401 1.1 kleink #define LSB 0x10000
402 1.1 kleink #define Sign_bit 0x8000
403 1.1 kleink #define Log2P 1
404 1.1 kleink #define Tiny0 0x80
405 1.1 kleink #define Tiny1 0
406 1.1 kleink #define Quick_max 15
407 1.1 kleink #define Int_max 15
408 1.1 kleink #endif /* IBM, VAX */
409 1.1 kleink #endif /* IEEE_Arith */
410 1.1 kleink
411 1.1 kleink #ifndef IEEE_Arith
412 1.1 kleink #define ROUND_BIASED
413 1.1 kleink #endif
414 1.1 kleink
415 1.1 kleink #ifdef RND_PRODQUOT
416 1.1 kleink #define rounded_product(a,b) a = rnd_prod(a, b)
417 1.1 kleink #define rounded_quotient(a,b) a = rnd_quot(a, b)
418 1.1 kleink #ifdef KR_headers
419 1.1 kleink extern double rnd_prod(), rnd_quot();
420 1.1 kleink #else
421 1.1 kleink extern double rnd_prod(double, double), rnd_quot(double, double);
422 1.1 kleink #endif
423 1.1 kleink #else
424 1.1 kleink #define rounded_product(a,b) a *= b
425 1.1 kleink #define rounded_quotient(a,b) a /= b
426 1.1 kleink #endif
427 1.1 kleink
428 1.1 kleink #define Big0 (Frac_mask1 | Exp_msk1*(DBL_MAX_EXP+Bias-1))
429 1.1 kleink #define Big1 0xffffffff
430 1.1 kleink
431 1.1 kleink #undef Pack_16
432 1.1 kleink #ifndef Pack_32
433 1.1 kleink #define Pack_32
434 1.1 kleink #endif
435 1.1 kleink
436 1.1 kleink #ifdef NO_LONG_LONG
437 1.1 kleink #undef ULLong
438 1.1 kleink #ifdef Just_16
439 1.1 kleink #undef Pack_32
440 1.1 kleink #define Pack_16
441 1.1 kleink /* When Pack_32 is not defined, we store 16 bits per 32-bit Long.
442 1.1 kleink * This makes some inner loops simpler and sometimes saves work
443 1.1 kleink * during multiplications, but it often seems to make things slightly
444 1.1 kleink * slower. Hence the default is now to store 32 bits per Long.
445 1.1 kleink */
446 1.1 kleink #endif
447 1.1 kleink #else /* long long available */
448 1.1 kleink #ifndef Llong
449 1.1 kleink #define Llong long long
450 1.1 kleink #endif
451 1.1 kleink #ifndef ULLong
452 1.1 kleink #define ULLong unsigned Llong
453 1.1 kleink #endif
454 1.1 kleink #endif /* NO_LONG_LONG */
455 1.1 kleink
456 1.1 kleink #ifdef Pack_32
457 1.1 kleink #define ULbits 32
458 1.1 kleink #define kshift 5
459 1.1 kleink #define kmask 31
460 1.1 kleink #define ALL_ON 0xffffffff
461 1.1 kleink #else
462 1.1 kleink #define ULbits 16
463 1.1 kleink #define kshift 4
464 1.1 kleink #define kmask 15
465 1.1 kleink #define ALL_ON 0xffff
466 1.1 kleink #endif
467 1.1 kleink
468 1.1 kleink #ifndef MULTIPLE_THREADS
469 1.1 kleink #define ACQUIRE_DTOA_LOCK(n) /*nothing*/
470 1.1 kleink #define FREE_DTOA_LOCK(n) /*nothing*/
471 1.2 kleink #else
472 1.2 kleink #include "reentrant.h"
473 1.2 kleink
474 1.2 kleink extern mutex_t __gdtoa_locks[2];
475 1.2 kleink
476 1.2 kleink #define ACQUIRE_DTOA_LOCK(n) \
477 1.2 kleink do { \
478 1.2 kleink if (__isthreaded) \
479 1.2 kleink mutex_lock(&__gdtoa_locks[n]); \
480 1.2 kleink } while (/* CONSTCOND */ 0)
481 1.2 kleink #define FREE_DTOA_LOCK(n) \
482 1.2 kleink do { \
483 1.2 kleink if (__isthreaded) \
484 1.2 kleink mutex_unlock(&__gdtoa_locks[n]); \
485 1.2 kleink } while (/* CONSTCOND */ 0)
486 1.1 kleink #endif
487 1.1 kleink
488 1.1 kleink #define Kmax 15
489 1.1 kleink
490 1.1 kleink struct
491 1.1 kleink Bigint {
492 1.1 kleink struct Bigint *next;
493 1.1 kleink int k, maxwds, sign, wds;
494 1.1 kleink ULong x[1];
495 1.1 kleink };
496 1.1 kleink
497 1.1 kleink typedef struct Bigint Bigint;
498 1.1 kleink
499 1.1 kleink #ifdef NO_STRING_H
500 1.1 kleink #ifdef DECLARE_SIZE_T
501 1.1 kleink typedef unsigned int size_t;
502 1.1 kleink #endif
503 1.1 kleink extern void memcpy_D2A ANSI((void*, const void*, size_t));
504 1.1 kleink #define Bcopy(x,y) memcpy_D2A(&x->sign,&y->sign,y->wds*sizeof(ULong) + 2*sizeof(int))
505 1.1 kleink #else /* !NO_STRING_H */
506 1.1 kleink #define Bcopy(x,y) memcpy(&x->sign,&y->sign,y->wds*sizeof(ULong) + 2*sizeof(int))
507 1.1 kleink #endif /* NO_STRING_H */
508 1.1 kleink
509 1.2 kleink #define Balloc __Balloc_D2A
510 1.2 kleink #define Bfree __Bfree_D2A
511 1.2 kleink #define ULtoQ __ULtoQ_D2A
512 1.2 kleink #define ULtof __ULtof_D2A
513 1.2 kleink #define ULtod __ULtod_D2A
514 1.2 kleink #define ULtodd __ULtodd_D2A
515 1.2 kleink #define ULtox __ULtox_D2A
516 1.2 kleink #define ULtoxL __ULtoxL_D2A
517 1.2 kleink #define any_on __any_on_D2A
518 1.2 kleink #define b2d __b2d_D2A
519 1.2 kleink #define bigtens __bigtens_D2A
520 1.2 kleink #define cmp __cmp_D2A
521 1.2 kleink #define copybits __copybits_D2A
522 1.2 kleink #define d2b __d2b_D2A
523 1.2 kleink #define decrement __decrement_D2A
524 1.2 kleink #define diff __diff_D2A
525 1.2 kleink #define dtoa_result __dtoa_result_D2A
526 1.2 kleink #define g__fmt __g__fmt_D2A
527 1.2 kleink #define gethex __gethex_D2A
528 1.2 kleink #define hexdig __hexdig_D2A
529 1.2 kleink #define hexdig_init_D2A __hexdig_init_D2A
530 1.2 kleink #define hexnan __hexnan_D2A
531 1.2 kleink #define hi0bits __hi0bits_D2A
532 1.2 kleink #define hi0bits_D2A __hi0bits_D2A
533 1.2 kleink #define i2b __i2b_D2A
534 1.2 kleink #define increment __increment_D2A
535 1.2 kleink #define lo0bits __lo0bits_D2A
536 1.2 kleink #define lshift __lshift_D2A
537 1.2 kleink #define match __match_D2A
538 1.2 kleink #define mult __mult_D2A
539 1.2 kleink #define multadd __multadd_D2A
540 1.2 kleink #define nrv_alloc __nrv_alloc_D2A
541 1.2 kleink #define pow5mult __pow5mult_D2A
542 1.2 kleink #define quorem __quorem_D2A
543 1.2 kleink #define ratio __ratio_D2A
544 1.2 kleink #define rshift __rshift_D2A
545 1.2 kleink #define rv_alloc __rv_alloc_D2A
546 1.2 kleink #define s2b __s2b_D2A
547 1.2 kleink #define set_ones __set_ones_D2A
548 1.2 kleink #define strcp __strcp_D2A
549 1.2 kleink #define strcp_D2A __strcp_D2A
550 1.2 kleink #define strtoIg __strtoIg_D2A
551 1.2 kleink #define sum __sum_D2A
552 1.2 kleink #define tens __tens_D2A
553 1.2 kleink #define tinytens __tinytens_D2A
554 1.2 kleink #define tinytens __tinytens_D2A
555 1.2 kleink #define trailz __trailz_D2A
556 1.2 kleink #define ulp __ulp_D2A
557 1.1 kleink
558 1.1 kleink extern char *dtoa_result;
559 1.1 kleink extern CONST double bigtens[], tens[], tinytens[];
560 1.1 kleink extern unsigned char hexdig[];
561 1.1 kleink
562 1.1 kleink extern Bigint *Balloc ANSI((int));
563 1.1 kleink extern void Bfree ANSI((Bigint*));
564 1.1 kleink extern void ULtof ANSI((ULong*, ULong*, Long, int));
565 1.1 kleink extern void ULtod ANSI((ULong*, ULong*, Long, int));
566 1.1 kleink extern void ULtodd ANSI((ULong*, ULong*, Long, int));
567 1.1 kleink extern void ULtoQ ANSI((ULong*, ULong*, Long, int));
568 1.1 kleink extern void ULtox ANSI((UShort*, ULong*, Long, int));
569 1.1 kleink extern void ULtoxL ANSI((ULong*, ULong*, Long, int));
570 1.1 kleink extern ULong any_on ANSI((Bigint*, int));
571 1.1 kleink extern double b2d ANSI((Bigint*, int*));
572 1.1 kleink extern int cmp ANSI((Bigint*, Bigint*));
573 1.1 kleink extern void copybits ANSI((ULong*, int, Bigint*));
574 1.1 kleink extern Bigint *d2b ANSI((double, int*, int*));
575 1.1 kleink extern int decrement ANSI((Bigint*));
576 1.1 kleink extern Bigint *diff ANSI((Bigint*, Bigint*));
577 1.1 kleink extern char *dtoa ANSI((double d, int mode, int ndigits,
578 1.1 kleink int *decpt, int *sign, char **rve));
579 1.1 kleink extern char *g__fmt ANSI((char*, char*, char*, int, ULong));
580 1.1 kleink extern int gethex ANSI((CONST char**, FPI*, Long*, Bigint**, int));
581 1.1 kleink extern void hexdig_init_D2A(Void);
582 1.1 kleink extern int hexnan ANSI((CONST char**, FPI*, ULong*));
583 1.1 kleink extern int hi0bits_D2A ANSI((ULong));
584 1.1 kleink extern Bigint *i2b ANSI((int));
585 1.1 kleink extern Bigint *increment ANSI((Bigint*));
586 1.1 kleink extern int lo0bits ANSI((ULong*));
587 1.1 kleink extern Bigint *lshift ANSI((Bigint*, int));
588 1.2 kleink extern int match ANSI((CONST char**, CONST char*));
589 1.1 kleink extern Bigint *mult ANSI((Bigint*, Bigint*));
590 1.1 kleink extern Bigint *multadd ANSI((Bigint*, int, int));
591 1.2 kleink extern char *nrv_alloc ANSI((CONST char*, char **, int));
592 1.1 kleink extern Bigint *pow5mult ANSI((Bigint*, int));
593 1.1 kleink extern int quorem ANSI((Bigint*, Bigint*));
594 1.1 kleink extern double ratio ANSI((Bigint*, Bigint*));
595 1.1 kleink extern void rshift ANSI((Bigint*, int));
596 1.1 kleink extern char *rv_alloc ANSI((int));
597 1.1 kleink extern Bigint *s2b ANSI((CONST char*, int, int, ULong));
598 1.1 kleink extern Bigint *set_ones ANSI((Bigint*, int));
599 1.1 kleink extern char *strcp ANSI((char*, const char*));
600 1.1 kleink extern int strtoIg ANSI((CONST char*, char**, FPI*, Long*, Bigint**, int*));
601 1.1 kleink extern double strtod ANSI((const char *s00, char **se));
602 1.1 kleink extern Bigint *sum ANSI((Bigint*, Bigint*));
603 1.1 kleink extern int trailz ANSI((Bigint*));
604 1.1 kleink extern double ulp ANSI((double));
605 1.1 kleink
606 1.1 kleink #ifdef __cplusplus
607 1.1 kleink }
608 1.1 kleink #endif
609 1.1 kleink /*
610 1.1 kleink * NAN_WORD0 and NAN_WORD1 are only referenced in strtod.c. Prior to
611 1.1 kleink * 20050115, they used to be hard-wired here (to 0x7ff80000 and 0,
612 1.1 kleink * respectively), but now are determined by compiling and running
613 1.1 kleink * qnan.c to generate gd_qnan.h, which specifies d_QNAN0 and d_QNAN1.
614 1.1 kleink * Formerly gdtoaimp.h recommended supplying suitable -DNAN_WORD0=...
615 1.1 kleink * and -DNAN_WORD1=... values if necessary. This should still work.
616 1.1 kleink * (On HP Series 700/800 machines, -DNAN_WORD0=0x7ff40000 works.)
617 1.1 kleink */
618 1.1 kleink #ifdef IEEE_Arith
619 1.2 kleink #ifdef IEEE_BIG_ENDIAN
620 1.1 kleink #define _0 0
621 1.1 kleink #define _1 1
622 1.1 kleink #ifndef NAN_WORD0
623 1.1 kleink #define NAN_WORD0 d_QNAN0
624 1.1 kleink #endif
625 1.1 kleink #ifndef NAN_WORD1
626 1.1 kleink #define NAN_WORD1 d_QNAN1
627 1.1 kleink #endif
628 1.1 kleink #else
629 1.1 kleink #define _0 1
630 1.1 kleink #define _1 0
631 1.1 kleink #ifndef NAN_WORD0
632 1.1 kleink #define NAN_WORD0 d_QNAN1
633 1.1 kleink #endif
634 1.1 kleink #ifndef NAN_WORD1
635 1.1 kleink #define NAN_WORD1 d_QNAN0
636 1.1 kleink #endif
637 1.1 kleink #endif
638 1.1 kleink #else
639 1.1 kleink #undef INFNAN_CHECK
640 1.1 kleink #endif
641 1.1 kleink
642 1.1 kleink #undef SI
643 1.1 kleink #ifdef Sudden_Underflow
644 1.1 kleink #define SI 1
645 1.1 kleink #else
646 1.1 kleink #define SI 0
647 1.1 kleink #endif
648 1.1 kleink
649 1.1 kleink #endif /* GDTOAIMP_H_INCLUDED */
650