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1 /*
2  * Copyright (c) 2008-2020 Stefan Krah. All rights reserved.
3  *
4  * Redistribution and use in source and binary forms, with or without
5  * modification, are permitted provided that the following conditions
6  * are met:
7  *
8  * 1. Redistributions of source code must retain the above copyright
9  *    notice, this list of conditions and the following disclaimer.
10  *
11  * 2. Redistributions in binary form must reproduce the above copyright
12  *    notice, this list of conditions and the following disclaimer in the
13  *    documentation and/or other materials provided with the distribution.
14  *
15  * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS "AS IS" AND
16  * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
17  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
18  * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
19  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
20  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
21  * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
22  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
23  * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
24  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
25  * SUCH DAMAGE.
26  */
27 
28 
29 #ifndef LIBMPDEC_MPDECIMAL_H_
30 #define LIBMPDEC_MPDECIMAL_H_
31 
32 
33 #ifndef _MSC_VER
34   #include "pyconfig.h"
35 #endif
36 
37 #ifdef __cplusplus
38   #include <cinttypes>
39   #include <climits>
40   #include <cstdint>
41   #include <cstdio>
42   #include <cstdlib>
43   #define MPD_UINT8_C(x) (static_cast<uint8_t>(x))
44 extern "C" {
45 #else
46   #include <inttypes.h>
47   #include <limits.h>
48   #include <stdint.h>
49   #include <stdio.h>
50   #include <stdlib.h>
51   #define MPD_UINT8_C(x) ((uint8_t)x)
52 #endif
53 
54 
55 #if (defined(__linux__) || defined(__FreeBSD__) || defined(__APPLE__)) && \
56     defined(__GNUC__) && __GNUC__ >= 4 && !defined(__INTEL_COMPILER)
57   #define MPD_PRAGMA(x) _Pragma(x)
58   #define MPD_HIDE_SYMBOLS_START "GCC visibility push(hidden)"
59   #define MPD_HIDE_SYMBOLS_END "GCC visibility pop"
60 #else
61   #define MPD_PRAGMA(x)
62   #define MPD_HIDE_SYMBOLS_START
63   #define MPD_HIDE_SYMBOLS_END
64 #endif
65 
66 #if defined(_MSC_VER)
67   #define EXTINLINE extern inline
68 #else
69   #define EXTINLINE
70 #endif
71 
72 
73 /* This header file is internal for the purpose of building _decimal.so.
74  * All symbols should have local scope in the DSO. */
75 MPD_PRAGMA(MPD_HIDE_SYMBOLS_START)
76 
77 
78 /******************************************************************************/
79 /*                                  Version                                   */
80 /******************************************************************************/
81 
82 #define MPD_MAJOR_VERSION 2
83 #define MPD_MINOR_VERSION 5
84 #define MPD_MICRO_VERSION 1
85 
86 #define MPD_VERSION "2.5.1"
87 
88 #define MPD_VERSION_HEX ((MPD_MAJOR_VERSION << 24) | \
89                          (MPD_MINOR_VERSION << 16) | \
90                          (MPD_MICRO_VERSION <<  8))
91 
92 const char *mpd_version(void);
93 
94 
95 /******************************************************************************/
96 /*                              Configuration                                 */
97 /******************************************************************************/
98 
99 #if defined(UNIVERSAL)
100   #if defined(CONFIG_64) || defined(CONFIG_32)
101     #error "cannot use CONFIG_64 or CONFIG_32 with UNIVERSAL."
102   #endif
103   #if defined(__ppc__)
104     #define CONFIG_32
105     #define ANSI
106   #elif defined(__ppc64__)
107     #define CONFIG_64
108     #define ANSI
109   #elif defined(__i386__)
110     #define CONFIG_32
111     #define ANSI
112   #elif defined(__x86_64__)
113     #define CONFIG_64
114     #define ASM
115   #elif defined(__arm64__)
116     #define CONFIG_64
117     #define ANSI
118   #else
119     #error "unknown architecture for universal build."
120   #endif
121 #endif
122 
123 
124 /* BEGIN CONFIG_64 */
125 #if defined(CONFIG_64)
126 /* types for modular and base arithmetic */
127 #define MPD_UINT_MAX UINT64_MAX
128 #define MPD_BITS_PER_UINT 64
129 typedef uint64_t mpd_uint_t;  /* unsigned mod type */
130 
131 #define MPD_SIZE_MAX SIZE_MAX
132 typedef size_t mpd_size_t; /* unsigned size type */
133 
134 /* type for exp, digits, len, prec */
135 #define MPD_SSIZE_MAX INT64_MAX
136 #define MPD_SSIZE_MIN INT64_MIN
137 typedef int64_t mpd_ssize_t;
138 #define _mpd_strtossize strtoll
139 
140 /* decimal arithmetic */
141 #define MPD_RADIX 10000000000000000000ULL  /* 10**19 */
142 #define MPD_RDIGITS 19
143 #define MPD_MAX_POW10 19
144 #define MPD_EXPDIGITS 19  /* MPD_EXPDIGITS <= MPD_RDIGITS+1 */
145 
146 #define MPD_MAXTRANSFORM_2N 4294967296ULL      /* 2**32 */
147 #define MPD_MAX_PREC 999999999999999999LL
148 #define MPD_MAX_PREC_LOG2 64
149 #define MPD_ELIMIT  1000000000000000000LL
150 #define MPD_MAX_EMAX   999999999999999999LL    /* ELIMIT-1 */
151 #define MPD_MIN_EMIN  (-999999999999999999LL)  /* -EMAX */
152 #define MPD_MIN_ETINY (MPD_MIN_EMIN-(MPD_MAX_PREC-1))
153 #define MPD_EXP_INF 2000000000000000001LL
154 #define MPD_EXP_CLAMP (-4000000000000000001LL)
155 #define MPD_MAXIMPORT 105263157894736842L /* ceil((2*MPD_MAX_PREC)/MPD_RDIGITS) */
156 #define MPD_IEEE_CONTEXT_MAX_BITS 512     /* 16*(log2(MPD_MAX_EMAX / 3)-3) */
157 
158 /* conversion specifiers */
159 #define PRI_mpd_uint_t PRIu64
160 #define PRI_mpd_ssize_t PRIi64
161 /* END CONFIG_64 */
162 
163 
164 /* BEGIN CONFIG_32 */
165 #elif defined(CONFIG_32)
166 /* types for modular and base arithmetic */
167 #define MPD_UINT_MAX UINT32_MAX
168 #define MPD_BITS_PER_UINT 32
169 typedef uint32_t mpd_uint_t;  /* unsigned mod type */
170 
171 #ifndef LEGACY_COMPILER
172 #define MPD_UUINT_MAX UINT64_MAX
173 typedef uint64_t mpd_uuint_t; /* double width unsigned mod type */
174 #endif
175 
176 #define MPD_SIZE_MAX SIZE_MAX
177 typedef size_t mpd_size_t; /* unsigned size type */
178 
179 /* type for dec->len, dec->exp, ctx->prec */
180 #define MPD_SSIZE_MAX INT32_MAX
181 #define MPD_SSIZE_MIN INT32_MIN
182 typedef int32_t mpd_ssize_t;
183 #define _mpd_strtossize strtol
184 
185 /* decimal arithmetic */
186 #define MPD_RADIX 1000000000UL  /* 10**9 */
187 #define MPD_RDIGITS 9
188 #define MPD_MAX_POW10 9
189 #define MPD_EXPDIGITS 10 /* MPD_EXPDIGITS <= MPD_RDIGITS+1 */
190 
191 #define MPD_MAXTRANSFORM_2N 33554432UL /* 2**25 */
192 #define MPD_MAX_PREC 425000000L
193 #define MPD_MAX_PREC_LOG2 32
194 #define MPD_ELIMIT 425000001L
195 #define MPD_MAX_EMAX 425000000L        /* ELIMIT-1 */
196 #define MPD_MIN_EMIN (-425000000L)     /* -EMAX */
197 #define MPD_MIN_ETINY (MPD_MIN_EMIN-(MPD_MAX_PREC-1))
198 #define MPD_EXP_INF 1000000001L       /* allows for emax=999999999 in the tests */
199 #define MPD_EXP_CLAMP (-2000000001L)  /* allows for emin=-999999999 in the tests */
200 #define MPD_MAXIMPORT 94444445L       /* ceil((2*MPD_MAX_PREC)/MPD_RDIGITS) */
201 #define MPD_IEEE_CONTEXT_MAX_BITS 256 /* 16*(log2(MPD_MAX_EMAX / 3)-3) */
202 
203 /* conversion specifiers */
204 #define PRI_mpd_uint_t PRIu32
205 #define PRI_mpd_ssize_t PRIi32
206 /* END CONFIG_32 */
207 
208 #else
209   #error "define CONFIG_64 or CONFIG_32"
210 #endif
211 /* END CONFIG */
212 
213 
214 #if MPD_SIZE_MAX != MPD_UINT_MAX
215   #error "unsupported platform: need mpd_size_t == mpd_uint_t"
216 #endif
217 
218 
219 /******************************************************************************/
220 /*                                Context                                     */
221 /******************************************************************************/
222 
223 enum {
224     MPD_ROUND_UP,          /* round away from 0               */
225     MPD_ROUND_DOWN,        /* round toward 0 (truncate)       */
226     MPD_ROUND_CEILING,     /* round toward +infinity          */
227     MPD_ROUND_FLOOR,       /* round toward -infinity          */
228     MPD_ROUND_HALF_UP,     /* 0.5 is rounded up               */
229     MPD_ROUND_HALF_DOWN,   /* 0.5 is rounded down             */
230     MPD_ROUND_HALF_EVEN,   /* 0.5 is rounded to even          */
231     MPD_ROUND_05UP,        /* round zero or five away from 0  */
232     MPD_ROUND_TRUNC,       /* truncate, but set infinity      */
233     MPD_ROUND_GUARD
234 };
235 
236 enum { MPD_CLAMP_DEFAULT, MPD_CLAMP_IEEE_754, MPD_CLAMP_GUARD };
237 
238 extern const char * const mpd_round_string[MPD_ROUND_GUARD];
239 extern const char * const mpd_clamp_string[MPD_CLAMP_GUARD];
240 
241 
242 typedef struct mpd_context_t {
243     mpd_ssize_t prec;   /* precision */
244     mpd_ssize_t emax;   /* max positive exp */
245     mpd_ssize_t emin;   /* min negative exp */
246     uint32_t traps;     /* status events that should be trapped */
247     uint32_t status;    /* status flags */
248     uint32_t newtrap;   /* set by mpd_addstatus_raise() */
249     int      round;     /* rounding mode */
250     int      clamp;     /* clamp mode */
251     int      allcr;     /* all functions correctly rounded */
252 } mpd_context_t;
253 
254 
255 /* Status flags */
256 #define MPD_Clamped             0x00000001U
257 #define MPD_Conversion_syntax   0x00000002U
258 #define MPD_Division_by_zero    0x00000004U
259 #define MPD_Division_impossible 0x00000008U
260 #define MPD_Division_undefined  0x00000010U
261 #define MPD_Fpu_error           0x00000020U
262 #define MPD_Inexact             0x00000040U
263 #define MPD_Invalid_context     0x00000080U
264 #define MPD_Invalid_operation   0x00000100U
265 #define MPD_Malloc_error        0x00000200U
266 #define MPD_Not_implemented     0x00000400U
267 #define MPD_Overflow            0x00000800U
268 #define MPD_Rounded             0x00001000U
269 #define MPD_Subnormal           0x00002000U
270 #define MPD_Underflow           0x00004000U
271 #define MPD_Max_status         (0x00008000U-1U)
272 
273 /* Conditions that result in an IEEE 754 exception */
274 #define MPD_IEEE_Invalid_operation (MPD_Conversion_syntax |   \
275                                     MPD_Division_impossible | \
276                                     MPD_Division_undefined |  \
277                                     MPD_Fpu_error |           \
278                                     MPD_Invalid_context |     \
279                                     MPD_Invalid_operation |   \
280                                     MPD_Malloc_error)         \
281 
282 /* Errors that require the result of an operation to be set to NaN */
283 #define MPD_Errors (MPD_IEEE_Invalid_operation | \
284                     MPD_Division_by_zero)
285 
286 /* Default traps */
287 #define MPD_Traps (MPD_IEEE_Invalid_operation | \
288                    MPD_Division_by_zero |       \
289                    MPD_Overflow |               \
290                    MPD_Underflow)
291 
292 /* Official name */
293 #define MPD_Insufficient_storage MPD_Malloc_error
294 
295 /* IEEE 754 interchange format contexts */
296 #define MPD_DECIMAL32 32
297 #define MPD_DECIMAL64 64
298 #define MPD_DECIMAL128 128
299 
300 
301 #define MPD_MINALLOC_MIN 2
302 #define MPD_MINALLOC_MAX 64
303 extern mpd_ssize_t MPD_MINALLOC;
304 extern void (* mpd_traphandler)(mpd_context_t *);
305 void mpd_dflt_traphandler(mpd_context_t *);
306 
307 void mpd_setminalloc(mpd_ssize_t n);
308 void mpd_init(mpd_context_t *ctx, mpd_ssize_t prec);
309 
310 void mpd_maxcontext(mpd_context_t *ctx);
311 void mpd_defaultcontext(mpd_context_t *ctx);
312 void mpd_basiccontext(mpd_context_t *ctx);
313 int mpd_ieee_context(mpd_context_t *ctx, int bits);
314 
315 mpd_ssize_t mpd_getprec(const mpd_context_t *ctx);
316 mpd_ssize_t mpd_getemax(const mpd_context_t *ctx);
317 mpd_ssize_t mpd_getemin(const mpd_context_t *ctx);
318 int mpd_getround(const mpd_context_t *ctx);
319 uint32_t mpd_gettraps(const mpd_context_t *ctx);
320 uint32_t mpd_getstatus(const mpd_context_t *ctx);
321 int mpd_getclamp(const mpd_context_t *ctx);
322 int mpd_getcr(const mpd_context_t *ctx);
323 
324 int mpd_qsetprec(mpd_context_t *ctx, mpd_ssize_t prec);
325 int mpd_qsetemax(mpd_context_t *ctx, mpd_ssize_t emax);
326 int mpd_qsetemin(mpd_context_t *ctx, mpd_ssize_t emin);
327 int mpd_qsetround(mpd_context_t *ctx, int newround);
328 int mpd_qsettraps(mpd_context_t *ctx, uint32_t flags);
329 int mpd_qsetstatus(mpd_context_t *ctx, uint32_t flags);
330 int mpd_qsetclamp(mpd_context_t *ctx, int c);
331 int mpd_qsetcr(mpd_context_t *ctx, int c);
332 void mpd_addstatus_raise(mpd_context_t *ctx, uint32_t flags);
333 
334 
335 /******************************************************************************/
336 /*                           Decimal Arithmetic                               */
337 /******************************************************************************/
338 
339 /* mpd_t flags */
340 #define MPD_POS                 MPD_UINT8_C(0)
341 #define MPD_NEG                 MPD_UINT8_C(1)
342 #define MPD_INF                 MPD_UINT8_C(2)
343 #define MPD_NAN                 MPD_UINT8_C(4)
344 #define MPD_SNAN                MPD_UINT8_C(8)
345 #define MPD_SPECIAL (MPD_INF|MPD_NAN|MPD_SNAN)
346 #define MPD_STATIC              MPD_UINT8_C(16)
347 #define MPD_STATIC_DATA         MPD_UINT8_C(32)
348 #define MPD_SHARED_DATA         MPD_UINT8_C(64)
349 #define MPD_CONST_DATA          MPD_UINT8_C(128)
350 #define MPD_DATAFLAGS (MPD_STATIC_DATA|MPD_SHARED_DATA|MPD_CONST_DATA)
351 
352 /* mpd_t */
353 typedef struct mpd_t {
354     uint8_t flags;
355     mpd_ssize_t exp;
356     mpd_ssize_t digits;
357     mpd_ssize_t len;
358     mpd_ssize_t alloc;
359     mpd_uint_t *data;
360 } mpd_t;
361 
362 
363 /******************************************************************************/
364 /*                                    Triple                                  */
365 /******************************************************************************/
366 
367 /* status cases for getting a triple */
368 enum mpd_triple_class {
369   MPD_TRIPLE_NORMAL,
370   MPD_TRIPLE_INF,
371   MPD_TRIPLE_QNAN,
372   MPD_TRIPLE_SNAN,
373   MPD_TRIPLE_ERROR,
374 };
375 
376 typedef struct {
377   enum mpd_triple_class tag;
378   uint8_t sign;
379   uint64_t hi;
380   uint64_t lo;
381   int64_t exp;
382 } mpd_uint128_triple_t;
383 
384 int mpd_from_uint128_triple(mpd_t *result, const mpd_uint128_triple_t *triple, uint32_t *status);
385 mpd_uint128_triple_t mpd_as_uint128_triple(const mpd_t *a);
386 
387 
388 /******************************************************************************/
389 /*                       Quiet, thread-safe functions                         */
390 /******************************************************************************/
391 
392 /* format specification */
393 typedef struct mpd_spec_t {
394     mpd_ssize_t min_width; /* minimum field width */
395     mpd_ssize_t prec;      /* fraction digits or significant digits */
396     char type;             /* conversion specifier */
397     char align;            /* alignment */
398     char sign;             /* sign printing/alignment */
399     char fill[5];          /* fill character */
400     const char *dot;       /* decimal point */
401     const char *sep;       /* thousands separator */
402     const char *grouping;  /* grouping of digits */
403 } mpd_spec_t;
404 
405 /* output to a string */
406 char *mpd_to_sci(const mpd_t *dec, int fmt);
407 char *mpd_to_eng(const mpd_t *dec, int fmt);
408 mpd_ssize_t mpd_to_sci_size(char **res, const mpd_t *dec, int fmt);
409 mpd_ssize_t mpd_to_eng_size(char **res, const mpd_t *dec, int fmt);
410 int mpd_validate_lconv(mpd_spec_t *spec);
411 int mpd_parse_fmt_str(mpd_spec_t *spec, const char *fmt, int caps);
412 char *mpd_qformat_spec(const mpd_t *dec, const mpd_spec_t *spec, const mpd_context_t *ctx, uint32_t *status);
413 char *mpd_qformat(const mpd_t *dec, const char *fmt, const mpd_context_t *ctx, uint32_t *status);
414 
415 #define MPD_NUM_FLAGS 15
416 #define MPD_MAX_FLAG_STRING 208
417 #define MPD_MAX_FLAG_LIST (MPD_MAX_FLAG_STRING+18)
418 #define MPD_MAX_SIGNAL_LIST 121
419 int mpd_snprint_flags(char *dest, int nmemb, uint32_t flags);
420 int mpd_lsnprint_flags(char *dest, int nmemb, uint32_t flags, const char *flag_string[]);
421 int mpd_lsnprint_signals(char *dest, int nmemb, uint32_t flags, const char *signal_string[]);
422 
423 /* output to a file */
424 void mpd_fprint(FILE *file, const mpd_t *dec);
425 void mpd_print(const mpd_t *dec);
426 
427 /* assignment from a string */
428 void mpd_qset_string(mpd_t *dec, const char *s, const mpd_context_t *ctx, uint32_t *status);
429 void mpd_qset_string_exact(mpd_t *dec, const char *s, uint32_t *status);
430 
431 /* set to NaN with error flags */
432 void mpd_seterror(mpd_t *result, uint32_t flags, uint32_t *status);
433 /* set a special with sign and type */
434 void mpd_setspecial(mpd_t *result, uint8_t sign, uint8_t type);
435 /* set coefficient to zero or all nines */
436 void mpd_zerocoeff(mpd_t *result);
437 void mpd_qmaxcoeff(mpd_t *result, const mpd_context_t *ctx, uint32_t *status);
438 
439 /* quietly assign a C integer type to an mpd_t */
440 void mpd_qset_ssize(mpd_t *result, mpd_ssize_t a, const mpd_context_t *ctx, uint32_t *status);
441 void mpd_qset_i32(mpd_t *result, int32_t a, const mpd_context_t *ctx, uint32_t *status);
442 void mpd_qset_uint(mpd_t *result, mpd_uint_t a, const mpd_context_t *ctx, uint32_t *status);
443 void mpd_qset_u32(mpd_t *result, uint32_t a, const mpd_context_t *ctx, uint32_t *status);
444 #ifndef LEGACY_COMPILER
445 void mpd_qset_i64(mpd_t *result, int64_t a, const mpd_context_t *ctx, uint32_t *status);
446 void mpd_qset_u64(mpd_t *result, uint64_t a, const mpd_context_t *ctx, uint32_t *status);
447 void mpd_qset_i64_exact(mpd_t *result, int64_t a, uint32_t *status);
448 void mpd_qset_u64_exact(mpd_t *result, uint64_t a, uint32_t *status);
449 #endif
450 
451 /* quietly assign a C integer type to an mpd_t with a static coefficient */
452 void mpd_qsset_ssize(mpd_t *result, mpd_ssize_t a, const mpd_context_t *ctx, uint32_t *status);
453 void mpd_qsset_i32(mpd_t *result, int32_t a, const mpd_context_t *ctx, uint32_t *status);
454 void mpd_qsset_uint(mpd_t *result, mpd_uint_t a, const mpd_context_t *ctx, uint32_t *status);
455 void mpd_qsset_u32(mpd_t *result, uint32_t a, const mpd_context_t *ctx, uint32_t *status);
456 
457 /* quietly get a C integer type from an mpd_t */
458 mpd_ssize_t mpd_qget_ssize(const mpd_t *dec, uint32_t *status);
459 mpd_uint_t mpd_qget_uint(const mpd_t *dec, uint32_t *status);
460 mpd_uint_t mpd_qabs_uint(const mpd_t *dec, uint32_t *status);
461 
462 int32_t mpd_qget_i32(const mpd_t *dec, uint32_t *status);
463 uint32_t mpd_qget_u32(const mpd_t *dec, uint32_t *status);
464 #ifndef LEGACY_COMPILER
465 int64_t mpd_qget_i64(const mpd_t *dec, uint32_t *status);
466 uint64_t mpd_qget_u64(const mpd_t *dec, uint32_t *status);
467 #endif
468 
469 /* quiet functions */
470 int mpd_qcheck_nan(mpd_t *nanresult, const mpd_t *a, const mpd_context_t *ctx, uint32_t *status);
471 int mpd_qcheck_nans(mpd_t *nanresult, const mpd_t *a, const mpd_t *b, const mpd_context_t *ctx, uint32_t *status);
472 void mpd_qfinalize(mpd_t *result, const mpd_context_t *ctx, uint32_t *status);
473 
474 const char *mpd_class(const mpd_t *a, const mpd_context_t *ctx);
475 
476 int mpd_qcopy(mpd_t *result, const mpd_t *a, uint32_t *status);
477 int mpd_qcopy_cxx(mpd_t *result, const mpd_t *a);
478 mpd_t *mpd_qncopy(const mpd_t *a);
479 int mpd_qcopy_abs(mpd_t *result, const mpd_t *a, uint32_t *status);
480 int mpd_qcopy_negate(mpd_t *result, const mpd_t *a, uint32_t *status);
481 int mpd_qcopy_sign(mpd_t *result, const mpd_t *a, const mpd_t *b, uint32_t *status);
482 
483 void mpd_qand(mpd_t *result, const mpd_t *a, const mpd_t *b, const mpd_context_t *ctx, uint32_t *status);
484 void mpd_qinvert(mpd_t *result, const mpd_t *a, const mpd_context_t *ctx, uint32_t *status);
485 void mpd_qlogb(mpd_t *result, const mpd_t *a, const mpd_context_t *ctx, uint32_t *status);
486 void mpd_qor(mpd_t *result, const mpd_t *a, const mpd_t *b, const mpd_context_t *ctx, uint32_t *status);
487 void mpd_qscaleb(mpd_t *result, const mpd_t *a, const mpd_t *b, const mpd_context_t *ctx, uint32_t *status);
488 void mpd_qxor(mpd_t *result, const mpd_t *a, const mpd_t *b, const mpd_context_t *ctx, uint32_t *status);
489 int mpd_same_quantum(const mpd_t *a, const mpd_t *b);
490 
491 void mpd_qrotate(mpd_t *result, const mpd_t *a, const mpd_t *b, const mpd_context_t *ctx, uint32_t *status);
492 int mpd_qshiftl(mpd_t *result, const mpd_t *a, mpd_ssize_t n, uint32_t *status);
493 mpd_uint_t mpd_qshiftr(mpd_t *result, const mpd_t *a, mpd_ssize_t n, uint32_t *status);
494 mpd_uint_t mpd_qshiftr_inplace(mpd_t *result, mpd_ssize_t n);
495 void mpd_qshift(mpd_t *result, const mpd_t *a, const mpd_t *b, const mpd_context_t *ctx, uint32_t *status);
496 void mpd_qshiftn(mpd_t *result, const mpd_t *a, mpd_ssize_t n, const mpd_context_t *ctx, uint32_t *status);
497 
498 int mpd_qcmp(const mpd_t *a, const mpd_t *b, uint32_t *status);
499 int mpd_qcompare(mpd_t *result, const mpd_t *a, const mpd_t *b, const mpd_context_t *ctx, uint32_t *status);
500 int mpd_qcompare_signal(mpd_t *result, const mpd_t *a, const mpd_t *b, const mpd_context_t *ctx, uint32_t *status);
501 int mpd_cmp_total(const mpd_t *a, const mpd_t *b);
502 int mpd_cmp_total_mag(const mpd_t *a, const mpd_t *b);
503 int mpd_compare_total(mpd_t *result, const mpd_t *a, const mpd_t *b);
504 int mpd_compare_total_mag(mpd_t *result, const mpd_t *a, const mpd_t *b);
505 
506 void mpd_qround_to_intx(mpd_t *result, const mpd_t *a, const mpd_context_t *ctx, uint32_t *status);
507 void mpd_qround_to_int(mpd_t *result, const mpd_t *a, const mpd_context_t *ctx, uint32_t *status);
508 void mpd_qtrunc(mpd_t *result, const mpd_t *a, const mpd_context_t *ctx, uint32_t *status);
509 void mpd_qfloor(mpd_t *result, const mpd_t *a, const mpd_context_t *ctx, uint32_t *status);
510 void mpd_qceil(mpd_t *result, const mpd_t *a, const mpd_context_t *ctx, uint32_t *status);
511 
512 void mpd_qabs(mpd_t *result, const mpd_t *a, const mpd_context_t *ctx, uint32_t *status);
513 void mpd_qmax(mpd_t *result, const mpd_t *a, const mpd_t *b, const mpd_context_t *ctx, uint32_t *status);
514 void mpd_qmax_mag(mpd_t *result, const mpd_t *a, const mpd_t *b, const mpd_context_t *ctx, uint32_t *status);
515 void mpd_qmin(mpd_t *result, const mpd_t *a, const mpd_t *b, const mpd_context_t *ctx, uint32_t *status);
516 void mpd_qmin_mag(mpd_t *result, const mpd_t *a, const mpd_t *b, const mpd_context_t *ctx, uint32_t *status);
517 void mpd_qminus(mpd_t *result, const mpd_t *a, const mpd_context_t *ctx, uint32_t *status);
518 void mpd_qplus(mpd_t *result, const mpd_t *a, const mpd_context_t *ctx, uint32_t *status);
519 void mpd_qnext_minus(mpd_t *result, const mpd_t *a, const mpd_context_t *ctx, uint32_t *status);
520 void mpd_qnext_plus(mpd_t *result, const mpd_t *a, const mpd_context_t *ctx, uint32_t *status);
521 void mpd_qnext_toward(mpd_t *result, const mpd_t *a, const mpd_t *b, const mpd_context_t *ctx, uint32_t *status);
522 void mpd_qquantize(mpd_t *result, const mpd_t *a, const mpd_t *b, const mpd_context_t *ctx, uint32_t *status);
523 void mpd_qrescale(mpd_t *result, const mpd_t *a, mpd_ssize_t exp, const mpd_context_t *ctx, uint32_t *status);
524 void mpd_qrescale_fmt(mpd_t *result, const mpd_t *a, mpd_ssize_t exp, const mpd_context_t *ctx, uint32_t *status);
525 void mpd_qreduce(mpd_t *result, const mpd_t *a, const mpd_context_t *ctx, uint32_t *status);
526 void mpd_qadd(mpd_t *result, const mpd_t *a, const mpd_t *b, const mpd_context_t *ctx, uint32_t *status);
527 void mpd_qadd_ssize(mpd_t *result, const mpd_t *a, mpd_ssize_t b, const mpd_context_t *ctx, uint32_t *status);
528 void mpd_qadd_i32(mpd_t *result, const mpd_t *a, int32_t b, const mpd_context_t *ctx, uint32_t *status);
529 void mpd_qadd_uint(mpd_t *result, const mpd_t *a, mpd_uint_t b, const mpd_context_t *ctx, uint32_t *status);
530 void mpd_qadd_u32(mpd_t *result, const mpd_t *a, uint32_t b, const mpd_context_t *ctx, uint32_t *status);
531 void mpd_qsub(mpd_t *result, const mpd_t *a, const mpd_t *b, const mpd_context_t *ctx, uint32_t *status);
532 void mpd_qsub_ssize(mpd_t *result, const mpd_t *a, mpd_ssize_t b, const mpd_context_t *ctx, uint32_t *status);
533 void mpd_qsub_i32(mpd_t *result, const mpd_t *a, int32_t b, const mpd_context_t *ctx, uint32_t *status);
534 void mpd_qsub_uint(mpd_t *result, const mpd_t *a, mpd_uint_t b, const mpd_context_t *ctx, uint32_t *status);
535 void mpd_qsub_u32(mpd_t *result, const mpd_t *a, uint32_t b, const mpd_context_t *ctx, uint32_t *status);
536 void mpd_qmul(mpd_t *result, const mpd_t *a, const mpd_t *b, const mpd_context_t *ctx, uint32_t *status);
537 void mpd_qmul_ssize(mpd_t *result, const mpd_t *a, mpd_ssize_t b, const mpd_context_t *ctx, uint32_t *status);
538 void mpd_qmul_i32(mpd_t *result, const mpd_t *a, int32_t b, const mpd_context_t *ctx, uint32_t *status);
539 void mpd_qmul_uint(mpd_t *result, const mpd_t *a, mpd_uint_t b, const mpd_context_t *ctx, uint32_t *status);
540 void mpd_qmul_u32(mpd_t *result, const mpd_t *a, uint32_t b, const mpd_context_t *ctx, uint32_t *status);
541 void mpd_qfma(mpd_t *result, const mpd_t *a, const mpd_t *b, const mpd_t *c, const mpd_context_t *ctx, uint32_t *status);
542 void mpd_qdiv(mpd_t *q, const mpd_t *a, const mpd_t *b, const mpd_context_t *ctx, uint32_t *status);
543 void mpd_qdiv_ssize(mpd_t *result, const mpd_t *a, mpd_ssize_t b, const mpd_context_t *ctx, uint32_t *status);
544 void mpd_qdiv_i32(mpd_t *result, const mpd_t *a, int32_t b, const mpd_context_t *ctx, uint32_t *status);
545 void mpd_qdiv_uint(mpd_t *result, const mpd_t *a, mpd_uint_t b, const mpd_context_t *ctx, uint32_t *status);
546 void mpd_qdiv_u32(mpd_t *result, const mpd_t *a, uint32_t b, const mpd_context_t *ctx, uint32_t *status);
547 void mpd_qdivint(mpd_t *q, const mpd_t *a, const mpd_t *b, const mpd_context_t *ctx, uint32_t *status);
548 void mpd_qrem(mpd_t *r, const mpd_t *a, const mpd_t *b, const mpd_context_t *ctx, uint32_t *status);
549 void mpd_qrem_near(mpd_t *r, const mpd_t *a, const mpd_t *b, const mpd_context_t *ctx, uint32_t *status);
550 void mpd_qdivmod(mpd_t *q, mpd_t *r, const mpd_t *a, const mpd_t *b, const mpd_context_t *ctx, uint32_t *status);
551 void mpd_qpow(mpd_t *result, const mpd_t *base, const mpd_t *exp, const mpd_context_t *ctx, uint32_t *status);
552 void mpd_qpowmod(mpd_t *result, const mpd_t *base, const mpd_t *exp, const mpd_t *mod, const mpd_context_t *ctx, uint32_t *status);
553 void mpd_qexp(mpd_t *result, const mpd_t *a, const mpd_context_t *ctx, uint32_t *status);
554 void mpd_qln10(mpd_t *result, mpd_ssize_t prec, uint32_t *status);
555 void mpd_qln(mpd_t *result, const mpd_t *a, const mpd_context_t *ctx, uint32_t *status);
556 void mpd_qlog10(mpd_t *result, const mpd_t *a, const mpd_context_t *ctx, uint32_t *status);
557 void mpd_qsqrt(mpd_t *result, const mpd_t *a, const mpd_context_t *ctx, uint32_t *status);
558 void mpd_qinvroot(mpd_t *result, const mpd_t *a, const mpd_context_t *ctx, uint32_t *status);
559 
560 #ifndef LEGACY_COMPILER
561 void mpd_qadd_i64(mpd_t *result, const mpd_t *a, int64_t b, const mpd_context_t *ctx, uint32_t *status);
562 void mpd_qadd_u64(mpd_t *result, const mpd_t *a, uint64_t b, const mpd_context_t *ctx, uint32_t *status);
563 void mpd_qsub_i64(mpd_t *result, const mpd_t *a, int64_t b, const mpd_context_t *ctx, uint32_t *status);
564 void mpd_qsub_u64(mpd_t *result, const mpd_t *a, uint64_t b, const mpd_context_t *ctx, uint32_t *status);
565 void mpd_qmul_i64(mpd_t *result, const mpd_t *a, int64_t b, const mpd_context_t *ctx, uint32_t *status);
566 void mpd_qmul_u64(mpd_t *result, const mpd_t *a, uint64_t b, const mpd_context_t *ctx, uint32_t *status);
567 void mpd_qdiv_i64(mpd_t *result, const mpd_t *a, int64_t b, const mpd_context_t *ctx, uint32_t *status);
568 void mpd_qdiv_u64(mpd_t *result, const mpd_t *a, uint64_t b, const mpd_context_t *ctx, uint32_t *status);
569 #endif
570 
571 
572 size_t mpd_sizeinbase(const mpd_t *a, uint32_t base);
573 void mpd_qimport_u16(mpd_t *result, const uint16_t *srcdata, size_t srclen,
574                      uint8_t srcsign, uint32_t srcbase,
575                      const mpd_context_t *ctx, uint32_t *status);
576 void mpd_qimport_u32(mpd_t *result, const uint32_t *srcdata, size_t srclen,
577                      uint8_t srcsign, uint32_t srcbase,
578                      const mpd_context_t *ctx, uint32_t *status);
579 size_t mpd_qexport_u16(uint16_t **rdata, size_t rlen, uint32_t base,
580                        const mpd_t *src, uint32_t *status);
581 size_t mpd_qexport_u32(uint32_t **rdata, size_t rlen, uint32_t base,
582                        const mpd_t *src, uint32_t *status);
583 
584 
585 /******************************************************************************/
586 /*                           Signalling functions                             */
587 /******************************************************************************/
588 
589 char *mpd_format(const mpd_t *dec, const char *fmt, mpd_context_t *ctx);
590 void mpd_import_u16(mpd_t *result, const uint16_t *srcdata, size_t srclen, uint8_t srcsign, uint32_t base, mpd_context_t *ctx);
591 void mpd_import_u32(mpd_t *result, const uint32_t *srcdata, size_t srclen, uint8_t srcsign, uint32_t base, mpd_context_t *ctx);
592 size_t mpd_export_u16(uint16_t **rdata, size_t rlen, uint32_t base, const mpd_t *src, mpd_context_t *ctx);
593 size_t mpd_export_u32(uint32_t **rdata, size_t rlen, uint32_t base, const mpd_t *src, mpd_context_t *ctx);
594 void mpd_finalize(mpd_t *result, mpd_context_t *ctx);
595 int mpd_check_nan(mpd_t *result, const mpd_t *a, mpd_context_t *ctx);
596 int mpd_check_nans(mpd_t *result, const mpd_t *a, const mpd_t *b, mpd_context_t *ctx);
597 void mpd_set_string(mpd_t *result, const char *s, mpd_context_t *ctx);
598 void mpd_maxcoeff(mpd_t *result, mpd_context_t *ctx);
599 void mpd_sset_ssize(mpd_t *result, mpd_ssize_t a, mpd_context_t *ctx);
600 void mpd_sset_i32(mpd_t *result, int32_t a, mpd_context_t *ctx);
601 void mpd_sset_uint(mpd_t *result, mpd_uint_t a, mpd_context_t *ctx);
602 void mpd_sset_u32(mpd_t *result, uint32_t a, mpd_context_t *ctx);
603 void mpd_set_ssize(mpd_t *result, mpd_ssize_t a, mpd_context_t *ctx);
604 void mpd_set_i32(mpd_t *result, int32_t a, mpd_context_t *ctx);
605 void mpd_set_uint(mpd_t *result, mpd_uint_t a, mpd_context_t *ctx);
606 void mpd_set_u32(mpd_t *result, uint32_t a, mpd_context_t *ctx);
607 #ifndef LEGACY_COMPILER
608 void mpd_set_i64(mpd_t *result, int64_t a, mpd_context_t *ctx);
609 void mpd_set_u64(mpd_t *result, uint64_t a, mpd_context_t *ctx);
610 #endif
611 mpd_ssize_t mpd_get_ssize(const mpd_t *a, mpd_context_t *ctx);
612 mpd_uint_t mpd_get_uint(const mpd_t *a, mpd_context_t *ctx);
613 mpd_uint_t mpd_abs_uint(const mpd_t *a, mpd_context_t *ctx);
614 int32_t mpd_get_i32(const mpd_t *a, mpd_context_t *ctx);
615 uint32_t mpd_get_u32(const mpd_t *a, mpd_context_t *ctx);
616 #ifndef LEGACY_COMPILER
617 int64_t mpd_get_i64(const mpd_t *a, mpd_context_t *ctx);
618 uint64_t mpd_get_u64(const mpd_t *a, mpd_context_t *ctx);
619 #endif
620 void mpd_and(mpd_t *result, const mpd_t *a, const mpd_t *b, mpd_context_t *ctx);
621 void mpd_copy(mpd_t *result, const mpd_t *a, mpd_context_t *ctx);
622 void mpd_canonical(mpd_t *result, const mpd_t *a, mpd_context_t *ctx);
623 void mpd_copy_abs(mpd_t *result, const mpd_t *a, mpd_context_t *ctx);
624 void mpd_copy_negate(mpd_t *result, const mpd_t *a, mpd_context_t *ctx);
625 void mpd_copy_sign(mpd_t *result, const mpd_t *a, const mpd_t *b, mpd_context_t *ctx);
626 void mpd_invert(mpd_t *result, const mpd_t *a, mpd_context_t *ctx);
627 void mpd_logb(mpd_t *result, const mpd_t *a, mpd_context_t *ctx);
628 void mpd_or(mpd_t *result, const mpd_t *a, const mpd_t *b, mpd_context_t *ctx);
629 void mpd_rotate(mpd_t *result, const mpd_t *a, const mpd_t *b, mpd_context_t *ctx);
630 void mpd_scaleb(mpd_t *result, const mpd_t *a, const mpd_t *b, mpd_context_t *ctx);
631 void mpd_shiftl(mpd_t *result, const mpd_t *a, mpd_ssize_t n, mpd_context_t *ctx);
632 mpd_uint_t mpd_shiftr(mpd_t *result, const mpd_t *a, mpd_ssize_t n, mpd_context_t *ctx);
633 void mpd_shiftn(mpd_t *result, const mpd_t *a, mpd_ssize_t n, mpd_context_t *ctx);
634 void mpd_shift(mpd_t *result, const mpd_t *a, const mpd_t *b, mpd_context_t *ctx);
635 void mpd_xor(mpd_t *result, const mpd_t *a, const mpd_t *b, mpd_context_t *ctx);
636 void mpd_abs(mpd_t *result, const mpd_t *a, mpd_context_t *ctx);
637 int mpd_cmp(const mpd_t *a, const mpd_t *b, mpd_context_t *ctx);
638 int mpd_compare(mpd_t *result, const mpd_t *a, const mpd_t *b, mpd_context_t *ctx);
639 int mpd_compare_signal(mpd_t *result, const mpd_t *a, const mpd_t *b, mpd_context_t *ctx);
640 void mpd_add(mpd_t *result, const mpd_t *a, const mpd_t *b, mpd_context_t *ctx);
641 void mpd_add_ssize(mpd_t *result, const mpd_t *a, mpd_ssize_t b, mpd_context_t *ctx);
642 void mpd_add_i32(mpd_t *result, const mpd_t *a, int32_t b, mpd_context_t *ctx);
643 void mpd_add_uint(mpd_t *result, const mpd_t *a, mpd_uint_t b, mpd_context_t *ctx);
644 void mpd_add_u32(mpd_t *result, const mpd_t *a, uint32_t b, mpd_context_t *ctx);
645 void mpd_sub(mpd_t *result, const mpd_t *a, const mpd_t *b, mpd_context_t *ctx);
646 void mpd_sub_ssize(mpd_t *result, const mpd_t *a, mpd_ssize_t b, mpd_context_t *ctx);
647 void mpd_sub_i32(mpd_t *result, const mpd_t *a, int32_t b, mpd_context_t *ctx);
648 void mpd_sub_uint(mpd_t *result, const mpd_t *a, mpd_uint_t b, mpd_context_t *ctx);
649 void mpd_sub_u32(mpd_t *result, const mpd_t *a, uint32_t b, mpd_context_t *ctx);
650 void mpd_div(mpd_t *q, const mpd_t *a, const mpd_t *b, mpd_context_t *ctx);
651 void mpd_div_ssize(mpd_t *result, const mpd_t *a, mpd_ssize_t b, mpd_context_t *ctx);
652 void mpd_div_i32(mpd_t *result, const mpd_t *a, int32_t b, mpd_context_t *ctx);
653 void mpd_div_uint(mpd_t *result, const mpd_t *a, mpd_uint_t b, mpd_context_t *ctx);
654 void mpd_div_u32(mpd_t *result, const mpd_t *a, uint32_t b, mpd_context_t *ctx);
655 void mpd_divmod(mpd_t *q, mpd_t *r, const mpd_t *a, const mpd_t *b, mpd_context_t *ctx);
656 void mpd_divint(mpd_t *q, const mpd_t *a, const mpd_t *b, mpd_context_t *ctx);
657 void mpd_exp(mpd_t *result, const mpd_t *a, mpd_context_t *ctx);
658 void mpd_fma(mpd_t *result, const mpd_t *a, const mpd_t *b, const mpd_t *c, mpd_context_t *ctx);
659 void mpd_ln(mpd_t *result, const mpd_t *a, mpd_context_t *ctx);
660 void mpd_log10(mpd_t *result, const mpd_t *a, mpd_context_t *ctx);
661 void mpd_max(mpd_t *result, const mpd_t *a, const mpd_t *b, mpd_context_t *ctx);
662 void mpd_max_mag(mpd_t *result, const mpd_t *a, const mpd_t *b, mpd_context_t *ctx);
663 void mpd_min(mpd_t *result, const mpd_t *a, const mpd_t *b, mpd_context_t *ctx);
664 void mpd_min_mag(mpd_t *result, const mpd_t *a, const mpd_t *b, mpd_context_t *ctx);
665 void mpd_minus(mpd_t *result, const mpd_t *a, mpd_context_t *ctx);
666 void mpd_mul(mpd_t *result, const mpd_t *a, const mpd_t *b, mpd_context_t *ctx);
667 void mpd_mul_ssize(mpd_t *result, const mpd_t *a, mpd_ssize_t b, mpd_context_t *ctx);
668 void mpd_mul_i32(mpd_t *result, const mpd_t *a, int32_t b, mpd_context_t *ctx);
669 void mpd_mul_uint(mpd_t *result, const mpd_t *a, mpd_uint_t b, mpd_context_t *ctx);
670 void mpd_mul_u32(mpd_t *result, const mpd_t *a, uint32_t b, mpd_context_t *ctx);
671 void mpd_next_minus(mpd_t *result, const mpd_t *a, mpd_context_t *ctx);
672 void mpd_next_plus(mpd_t *result, const mpd_t *a, mpd_context_t *ctx);
673 void mpd_next_toward(mpd_t *result, const mpd_t *a, const mpd_t *b, mpd_context_t *ctx);
674 void mpd_plus(mpd_t *result, const mpd_t *a, mpd_context_t *ctx);
675 void mpd_pow(mpd_t *result, const mpd_t *base, const mpd_t *exp, mpd_context_t *ctx);
676 void mpd_powmod(mpd_t *result, const mpd_t *base, const mpd_t *exp, const mpd_t *mod, mpd_context_t *ctx);
677 void mpd_quantize(mpd_t *result, const mpd_t *a, const mpd_t *b, mpd_context_t *ctx);
678 void mpd_rescale(mpd_t *result, const mpd_t *a, mpd_ssize_t exp, mpd_context_t *ctx);
679 void mpd_reduce(mpd_t *result, const mpd_t *a, mpd_context_t *ctx);
680 void mpd_rem(mpd_t *r, const mpd_t *a, const mpd_t *b, mpd_context_t *ctx);
681 void mpd_rem_near(mpd_t *r, const mpd_t *a, const mpd_t *b, mpd_context_t *ctx);
682 void mpd_round_to_intx(mpd_t *result, const mpd_t *a, mpd_context_t *ctx);
683 void mpd_round_to_int(mpd_t *result, const mpd_t *a, mpd_context_t *ctx);
684 void mpd_trunc(mpd_t *result, const mpd_t *a, mpd_context_t *ctx);
685 void mpd_floor(mpd_t *result, const mpd_t *a, mpd_context_t *ctx);
686 void mpd_ceil(mpd_t *result, const mpd_t *a, mpd_context_t *ctx);
687 void mpd_sqrt(mpd_t *result, const mpd_t *a, mpd_context_t *ctx);
688 void mpd_invroot(mpd_t *result, const mpd_t *a, mpd_context_t *ctx);
689 
690 #ifndef LEGACY_COMPILER
691 void mpd_add_i64(mpd_t *result, const mpd_t *a, int64_t b, mpd_context_t *ctx);
692 void mpd_add_u64(mpd_t *result, const mpd_t *a, uint64_t b, mpd_context_t *ctx);
693 void mpd_sub_i64(mpd_t *result, const mpd_t *a, int64_t b, mpd_context_t *ctx);
694 void mpd_sub_u64(mpd_t *result, const mpd_t *a, uint64_t b, mpd_context_t *ctx);
695 void mpd_div_i64(mpd_t *result, const mpd_t *a, int64_t b, mpd_context_t *ctx);
696 void mpd_div_u64(mpd_t *result, const mpd_t *a, uint64_t b, mpd_context_t *ctx);
697 void mpd_mul_i64(mpd_t *result, const mpd_t *a, int64_t b, mpd_context_t *ctx);
698 void mpd_mul_u64(mpd_t *result, const mpd_t *a, uint64_t b, mpd_context_t *ctx);
699 #endif
700 
701 
702 /******************************************************************************/
703 /*                          Configuration specific                            */
704 /******************************************************************************/
705 
706 #ifdef CONFIG_64
707 void mpd_qsset_i64(mpd_t *result, int64_t a, const mpd_context_t *ctx, uint32_t *status);
708 void mpd_qsset_u64(mpd_t *result, uint64_t a, const mpd_context_t *ctx, uint32_t *status);
709 void mpd_sset_i64(mpd_t *result, int64_t a, mpd_context_t *ctx);
710 void mpd_sset_u64(mpd_t *result, uint64_t a, mpd_context_t *ctx);
711 #endif
712 
713 
714 /******************************************************************************/
715 /*                       Get attributes of a decimal                          */
716 /******************************************************************************/
717 
718 EXTINLINE mpd_ssize_t mpd_adjexp(const mpd_t *dec);
719 EXTINLINE mpd_ssize_t mpd_etiny(const mpd_context_t *ctx);
720 EXTINLINE mpd_ssize_t mpd_etop(const mpd_context_t *ctx);
721 EXTINLINE mpd_uint_t mpd_msword(const mpd_t *dec);
722 EXTINLINE int mpd_word_digits(mpd_uint_t word);
723 /* most significant digit of a word */
724 EXTINLINE mpd_uint_t mpd_msd(mpd_uint_t word);
725 /* least significant digit of a word */
726 EXTINLINE mpd_uint_t mpd_lsd(mpd_uint_t word);
727 /* coefficient size needed to store 'digits' */
728 EXTINLINE mpd_ssize_t mpd_digits_to_size(mpd_ssize_t digits);
729 /* number of digits in the exponent, undefined for MPD_SSIZE_MIN */
730 EXTINLINE int mpd_exp_digits(mpd_ssize_t exp);
731 EXTINLINE int mpd_iscanonical(const mpd_t *dec);
732 EXTINLINE int mpd_isfinite(const mpd_t *dec);
733 EXTINLINE int mpd_isinfinite(const mpd_t *dec);
734 EXTINLINE int mpd_isinteger(const mpd_t *dec);
735 EXTINLINE int mpd_isnan(const mpd_t *dec);
736 EXTINLINE int mpd_isnegative(const mpd_t *dec);
737 EXTINLINE int mpd_ispositive(const mpd_t *dec);
738 EXTINLINE int mpd_isqnan(const mpd_t *dec);
739 EXTINLINE int mpd_issigned(const mpd_t *dec);
740 EXTINLINE int mpd_issnan(const mpd_t *dec);
741 EXTINLINE int mpd_isspecial(const mpd_t *dec);
742 EXTINLINE int mpd_iszero(const mpd_t *dec);
743 /* undefined for special numbers */
744 EXTINLINE int mpd_iszerocoeff(const mpd_t *dec);
745 EXTINLINE int mpd_isnormal(const mpd_t *dec, const mpd_context_t *ctx);
746 EXTINLINE int mpd_issubnormal(const mpd_t *dec, const mpd_context_t *ctx);
747 /* odd word */
748 EXTINLINE int mpd_isoddword(mpd_uint_t word);
749 /* odd coefficient */
750 EXTINLINE int mpd_isoddcoeff(const mpd_t *dec);
751 /* odd decimal, only defined for integers */
752 int mpd_isodd(const mpd_t *dec);
753 /* even decimal, only defined for integers */
754 int mpd_iseven(const mpd_t *dec);
755 /* 0 if dec is positive, 1 if dec is negative */
756 EXTINLINE uint8_t mpd_sign(const mpd_t *dec);
757 /* 1 if dec is positive, -1 if dec is negative */
758 EXTINLINE int mpd_arith_sign(const mpd_t *dec);
759 EXTINLINE long mpd_radix(void);
760 EXTINLINE int mpd_isdynamic(const mpd_t *dec);
761 EXTINLINE int mpd_isstatic(const mpd_t *dec);
762 EXTINLINE int mpd_isdynamic_data(const mpd_t *dec);
763 EXTINLINE int mpd_isstatic_data(const mpd_t *dec);
764 EXTINLINE int mpd_isshared_data(const mpd_t *dec);
765 EXTINLINE int mpd_isconst_data(const mpd_t *dec);
766 EXTINLINE mpd_ssize_t mpd_trail_zeros(const mpd_t *dec);
767 
768 
769 /******************************************************************************/
770 /*                       Set attributes of a decimal                          */
771 /******************************************************************************/
772 
773 /* set number of decimal digits in the coefficient */
774 EXTINLINE void mpd_setdigits(mpd_t *result);
775 EXTINLINE void mpd_set_sign(mpd_t *result, uint8_t sign);
776 /* copy sign from another decimal */
777 EXTINLINE void mpd_signcpy(mpd_t *result, const mpd_t *a);
778 EXTINLINE void mpd_set_infinity(mpd_t *result);
779 EXTINLINE void mpd_set_qnan(mpd_t *result);
780 EXTINLINE void mpd_set_snan(mpd_t *result);
781 EXTINLINE void mpd_set_negative(mpd_t *result);
782 EXTINLINE void mpd_set_positive(mpd_t *result);
783 EXTINLINE void mpd_set_dynamic(mpd_t *result);
784 EXTINLINE void mpd_set_static(mpd_t *result);
785 EXTINLINE void mpd_set_dynamic_data(mpd_t *result);
786 EXTINLINE void mpd_set_static_data(mpd_t *result);
787 EXTINLINE void mpd_set_shared_data(mpd_t *result);
788 EXTINLINE void mpd_set_const_data(mpd_t *result);
789 EXTINLINE void mpd_clear_flags(mpd_t *result);
790 EXTINLINE void mpd_set_flags(mpd_t *result, uint8_t flags);
791 EXTINLINE void mpd_copy_flags(mpd_t *result, const mpd_t *a);
792 
793 
794 /******************************************************************************/
795 /*                              Error Macros                                  */
796 /******************************************************************************/
797 
798 #define mpd_err_fatal(...) \
799     do {fprintf(stderr, "%s:%d: error: ", __FILE__, __LINE__); \
800         fprintf(stderr, __VA_ARGS__);  fputc('\n', stderr);    \
801         abort();                                               \
802     } while (0)
803 #define mpd_err_warn(...) \
804     do {fprintf(stderr, "%s:%d: warning: ", __FILE__, __LINE__); \
805         fprintf(stderr, __VA_ARGS__); fputc('\n', stderr);       \
806     } while (0)
807 
808 
809 /******************************************************************************/
810 /*                            Memory handling                                 */
811 /******************************************************************************/
812 
813 extern void *(* mpd_mallocfunc)(size_t size);
814 extern void *(* mpd_callocfunc)(size_t nmemb, size_t size);
815 extern void *(* mpd_reallocfunc)(void *ptr, size_t size);
816 extern void (* mpd_free)(void *ptr);
817 
818 void *mpd_callocfunc_em(size_t nmemb, size_t size);
819 
820 void *mpd_alloc(mpd_size_t nmemb, mpd_size_t size);
821 void *mpd_calloc(mpd_size_t nmemb, mpd_size_t size);
822 void *mpd_realloc(void *ptr, mpd_size_t nmemb, mpd_size_t size, uint8_t *err);
823 void *mpd_sh_alloc(mpd_size_t struct_size, mpd_size_t nmemb, mpd_size_t size);
824 
825 mpd_t *mpd_qnew(void);
826 mpd_t *mpd_new(mpd_context_t *ctx);
827 mpd_t *mpd_qnew_size(mpd_ssize_t nwords);
828 EXTINLINE void mpd_del(mpd_t *dec);
829 
830 EXTINLINE void mpd_uint_zero(mpd_uint_t *dest, mpd_size_t len);
831 EXTINLINE int mpd_qresize(mpd_t *result, mpd_ssize_t nwords, uint32_t *status);
832 EXTINLINE int mpd_qresize_zero(mpd_t *result, mpd_ssize_t nwords, uint32_t *status);
833 EXTINLINE void mpd_minalloc(mpd_t *result);
834 
835 int mpd_resize(mpd_t *result, mpd_ssize_t nwords, mpd_context_t *ctx);
836 int mpd_resize_zero(mpd_t *result, mpd_ssize_t nwords, mpd_context_t *ctx);
837 
838 
839 MPD_PRAGMA(MPD_HIDE_SYMBOLS_END) /* restore previous scope rules */
840 
841 
842 #ifdef __cplusplus
843 } /* END extern "C" */
844 #endif
845 
846 
847 #endif /* LIBMPDEC_MPDECIMAL_H_ */
848