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[/] [openrisc/] [trunk/] [gnu-stable/] [gcc-4.5.1/] [libdecnumber/] [decNumberLocal.h] - Blame information for rev 856

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1 271 jeremybenn
/* Local definitions for the decNumber C Library.
2
   Copyright (C) 2007, 2009 Free Software Foundation, Inc.
3
   Contributed by IBM Corporation.  Author Mike Cowlishaw.
4
 
5
   This file is part of GCC.
6
 
7
   GCC is free software; you can redistribute it and/or modify it under
8
   the terms of the GNU General Public License as published by the Free
9
   Software Foundation; either version 3, or (at your option) any later
10
   version.
11
 
12
   GCC is distributed in the hope that it will be useful, but WITHOUT ANY
13
   WARRANTY; without even the implied warranty of MERCHANTABILITY or
14
   FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
15
   for more details.
16
 
17
Under Section 7 of GPL version 3, you are granted additional
18
permissions described in the GCC Runtime Library Exception, version
19
3.1, as published by the Free Software Foundation.
20
 
21
You should have received a copy of the GNU General Public License and
22
a copy of the GCC Runtime Library Exception along with this program;
23
see the files COPYING3 and COPYING.RUNTIME respectively.  If not, see
24
<http://www.gnu.org/licenses/>.  */
25
 
26
/* ------------------------------------------------------------------ */
27
/* decNumber package local type, tuning, and macro definitions        */
28
/* ------------------------------------------------------------------ */
29
/* This header file is included by all modules in the decNumber       */
30
/* library, and contains local type definitions, tuning parameters,   */
31
/* etc.  It should not need to be used by application programs.       */
32
/* decNumber.h or one of decDouble (etc.) must be included first.     */
33
/* ------------------------------------------------------------------ */
34
 
35
#if !defined(DECNUMBERLOC)
36
  #define DECNUMBERLOC
37
  #define DECVERSION    "decNumber 3.61" /* Package Version [16 max.] */
38
  #define DECNLAUTHOR   "Mike Cowlishaw"              /* Who to blame */
39
 
40
  #include <stdlib.h>         /* for abs                              */
41
  #include <string.h>         /* for memset, strcpy                   */
42
  #include "dconfig.h"        /* for WORDS_BIGENDIAN                  */
43
 
44
  /* Conditional code flag -- set this to match hardware platform     */
45
  /* 1=little-endian, 0=big-endian                                   */
46
  #if WORDS_BIGENDIAN
47
  #define DECLITEND 0
48
  #else
49
  #define DECLITEND 1
50
  #endif
51
 
52
  #if !defined(DECLITEND)
53
  #define DECLITEND 1         /* 1=little-endian, 0=big-endian        */
54
  #endif
55
 
56
  /* Conditional code flag -- set this to 1 for best performance      */
57
  #if !defined(DECUSE64)
58
  #define DECUSE64  1         /* 1=use int64s, 0=int32 & smaller only */
59
  #endif
60
 
61
  /* Conditional check flags -- set these to 0 for best performance   */
62
  #if !defined(DECCHECK)
63
  #define DECCHECK  0         /* 1 to enable robust checking          */
64
  #endif
65
  #if !defined(DECALLOC)
66
  #define DECALLOC  0         /* 1 to enable memory accounting        */
67
  #endif
68
  #if !defined(DECTRACE)
69
  #define DECTRACE  0         /* 1 to trace certain internals, etc.   */
70
  #endif
71
 
72
  /* Tuning parameter for decNumber (arbitrary precision) module      */
73
  #if !defined(DECBUFFER)
74
  #define DECBUFFER 36        /* Size basis for local buffers.  This  */
75
                              /* should be a common maximum precision */
76
                              /* rounded up to a multiple of 4; must  */
77
                              /* be zero or positive.                 */
78
  #endif
79
 
80
  /* ---------------------------------------------------------------- */
81
  /* Definitions for all modules (general-purpose)                    */
82
  /* ---------------------------------------------------------------- */
83
 
84
  /* Local names for common types -- for safety, decNumber modules do */
85
  /* not use int or long directly.                                    */
86
  #define Flag   uint8_t
87
  #define Byte   int8_t
88
  #define uByte  uint8_t
89
  #define Short  int16_t
90
  #define uShort uint16_t
91
  #define Int    int32_t
92
  #define uInt   uint32_t
93
  #define Unit   decNumberUnit
94
  #if DECUSE64
95
  #define Long   int64_t
96
  #define uLong  uint64_t
97
  #endif
98
 
99
  /* Development-use definitions                                      */
100
  typedef long int LI;        /* for printf arguments only            */
101
  #define DECNOINT  0         /* 1 to check no internal use of 'int'  */
102
                              /*   or stdint types                    */
103
  #if DECNOINT
104
    /* if these interfere with your C includes, do not set DECNOINT   */
105
    #define int     ?         /* enable to ensure that plain C 'int'  */
106
    #define long    ??        /* .. or 'long' types are not used      */
107
  #endif
108
 
109
  /* Shared lookup tables                                             */
110
  extern const uByte  DECSTICKYTAB[10]; /* re-round digits if sticky  */
111
  extern const uInt   DECPOWERS[10];    /* powers of ten table        */
112
  /* The following are included from decDPD.h                         */
113
  #include "decDPDSymbols.h"
114
  extern const uShort DPD2BIN[1024];    /* DPD -> 0-999               */
115
  extern const uShort BIN2DPD[1000];    /* 0-999 -> DPD               */
116
  extern const uInt   DPD2BINK[1024];   /* DPD -> 0-999000            */
117
  extern const uInt   DPD2BINM[1024];   /* DPD -> 0-999000000         */
118
  extern const uByte  DPD2BCD8[4096];   /* DPD -> ddd + len           */
119
  extern const uByte  BIN2BCD8[4000];   /* 0-999 -> ddd + len         */
120
  extern const uShort BCD2DPD[2458];    /* 0-0x999 -> DPD (0x999=2457)*/
121
 
122
  /* LONGMUL32HI -- set w=(u*v)>>32, where w, u, and v are uInts      */
123
  /* (that is, sets w to be the high-order word of the 64-bit result; */
124
  /* the low-order word is simply u*v.)                               */
125
  /* This version is derived from Knuth via Hacker's Delight;         */
126
  /* it seems to optimize better than some others tried               */
127
  #define LONGMUL32HI(w, u, v) {             \
128
    uInt u0, u1, v0, v1, w0, w1, w2, t;      \
129
    u0=u & 0xffff; u1=u>>16;                 \
130
    v0=v & 0xffff; v1=v>>16;                 \
131
    w0=u0*v0;                                \
132
    t=u1*v0 + (w0>>16);                      \
133
    w1=t & 0xffff; w2=t>>16;                 \
134
    w1=u0*v1 + w1;                           \
135
    (w)=u1*v1 + w2 + (w1>>16);}
136
 
137
  /* ROUNDUP -- round an integer up to a multiple of n                */
138
  #define ROUNDUP(i, n) ((((i)+(n)-1)/n)*n)
139
  #define ROUNDUP4(i)   (((i)+3)&~3)    /* special for n=4            */
140
 
141
  /* ROUNDDOWN -- round an integer down to a multiple of n            */
142
  #define ROUNDDOWN(i, n) (((i)/n)*n)
143
  #define ROUNDDOWN4(i)   ((i)&~3)      /* special for n=4            */
144
 
145
  /* References to multi-byte sequences under different sizes; these  */
146
  /* require locally declared variables, but do not violate strict    */
147
  /* aliasing or alignment (as did the UINTAT simple cast to uInt).   */
148
  /* Variables needed are uswork, uiwork, etc. [so do not use at same */
149
  /* level in an expression, e.g., UBTOUI(x)==UBTOUI(y) may fail].    */
150
 
151
  /* Return a uInt, etc., from bytes starting at a char* or uByte*    */
152
  #define UBTOUS(b)  (memcpy((void *)&uswork, b, 2), uswork)
153
  #define UBTOUI(b)  (memcpy((void *)&uiwork, b, 4), uiwork)
154
 
155
  /* Store a uInt, etc., into bytes starting at a char* or uByte*.    */
156
  /* Returns i, evaluated, for convenience; has to use uiwork because */
157
  /* i may be an expression.                                          */
158
  #define UBFROMUS(b, i)  (uswork=(i), memcpy(b, (void *)&uswork, 2), uswork)
159
  #define UBFROMUI(b, i)  (uiwork=(i), memcpy(b, (void *)&uiwork, 4), uiwork)
160
 
161
  /* X10 and X100 -- multiply integer i by 10 or 100                  */
162
  /* [shifts are usually faster than multiply; could be conditional]  */
163
  #define X10(i)  (((i)<<1)+((i)<<3))
164
  #define X100(i) (((i)<<2)+((i)<<5)+((i)<<6))
165
 
166
  /* MAXI and MINI -- general max & min (not in ANSI) for integers    */
167
  #define MAXI(x,y) ((x)<(y)?(y):(x))
168
  #define MINI(x,y) ((x)>(y)?(y):(x))
169
 
170
  /* Useful constants                                                 */
171
  #define BILLION      1000000000            /* 10**9                 */
172
  /* CHARMASK: 0x30303030 for ASCII/UTF8; 0xF0F0F0F0 for EBCDIC       */
173
  #define CHARMASK ((((((((uInt)'0')<<8)+'0')<<8)+'0')<<8)+'0')
174
 
175
 
176
  /* ---------------------------------------------------------------- */
177
  /* Definitions for arbitary-precision modules (only valid after     */
178
  /* decNumber.h has been included)                                   */
179
  /* ---------------------------------------------------------------- */
180
 
181
  /* Limits and constants                                             */
182
  #define DECNUMMAXP 999999999  /* maximum precision code can handle  */
183
  #define DECNUMMAXE 999999999  /* maximum adjusted exponent ditto    */
184
  #define DECNUMMINE -999999999 /* minimum adjusted exponent ditto    */
185
  #if (DECNUMMAXP != DEC_MAX_DIGITS)
186
    #error Maximum digits mismatch
187
  #endif
188
  #if (DECNUMMAXE != DEC_MAX_EMAX)
189
    #error Maximum exponent mismatch
190
  #endif
191
  #if (DECNUMMINE != DEC_MIN_EMIN)
192
    #error Minimum exponent mismatch
193
  #endif
194
 
195
  /* Set DECDPUNMAX -- the maximum integer that fits in DECDPUN       */
196
  /* digits, and D2UTABLE -- the initializer for the D2U table        */
197
  #if   DECDPUN==1
198
    #define DECDPUNMAX 9
199
    #define D2UTABLE {0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,  \
200
                      18,19,20,21,22,23,24,25,26,27,28,29,30,31,32, \
201
                      33,34,35,36,37,38,39,40,41,42,43,44,45,46,47, \
202
                      48,49}
203
  #elif DECDPUN==2
204
    #define DECDPUNMAX 99
205
    #define D2UTABLE {0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,  \
206
                      11,11,12,12,13,13,14,14,15,15,16,16,17,17,18, \
207
                      18,19,19,20,20,21,21,22,22,23,23,24,24,25}
208
  #elif DECDPUN==3
209
    #define DECDPUNMAX 999
210
    #define D2UTABLE {0,1,1,1,2,2,2,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,  \
211
                      8,8,8,9,9,9,10,10,10,11,11,11,12,12,12,13,13, \
212
                      13,14,14,14,15,15,15,16,16,16,17}
213
  #elif DECDPUN==4
214
    #define DECDPUNMAX 9999
215
    #define D2UTABLE {0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,5,5,5,5,6,  \
216
                      6,6,6,7,7,7,7,8,8,8,8,9,9,9,9,10,10,10,10,11, \
217
                      11,11,11,12,12,12,12,13}
218
  #elif DECDPUN==5
219
    #define DECDPUNMAX 99999
220
    #define D2UTABLE {0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,5,  \
221
                      5,5,5,5,6,6,6,6,6,7,7,7,7,7,8,8,8,8,8,9,9,9,  \
222
                      9,9,10,10,10,10}
223
  #elif DECDPUN==6
224
    #define DECDPUNMAX 999999
225
    #define D2UTABLE {0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,  \
226
                      4,4,4,5,5,5,5,5,5,6,6,6,6,6,6,7,7,7,7,7,7,8,  \
227
                      8,8,8,8,8,9}
228
  #elif DECDPUN==7
229
    #define DECDPUNMAX 9999999
230
    #define D2UTABLE {0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,  \
231
                      4,4,4,4,4,4,4,5,5,5,5,5,5,5,6,6,6,6,6,6,6,7,  \
232
                      7,7,7,7,7,7}
233
  #elif DECDPUN==8
234
    #define DECDPUNMAX 99999999
235
    #define D2UTABLE {0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,  \
236
                      3,3,3,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,6,6,6,  \
237
                      6,6,6,6,6,7}
238
  #elif DECDPUN==9
239
    #define DECDPUNMAX 999999999
240
    #define D2UTABLE {0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,  \
241
                      3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,  \
242
                      5,5,6,6,6,6}
243
  #elif defined(DECDPUN)
244
    #error DECDPUN must be in the range 1-9
245
  #endif
246
 
247
  /* ----- Shared data (in decNumber.c) ----- */
248
  /* Public lookup table used by the D2U macro (see below)            */
249
  #define DECMAXD2U 49
250
  extern const uByte d2utable[DECMAXD2U+1];
251
 
252
  /* ----- Macros ----- */
253
  /* ISZERO -- return true if decNumber dn is a zero                  */
254
  /* [performance-critical in some situations]                        */
255
  #define ISZERO(dn) decNumberIsZero(dn)     /* now just a local name */
256
 
257
  /* D2U -- return the number of Units needed to hold d digits        */
258
  /* (runtime version, with table lookaside for small d)              */
259
  #if DECDPUN==8
260
    #define D2U(d) ((unsigned)((d)<=DECMAXD2U?d2utable[d]:((d)+7)>>3))
261
  #elif DECDPUN==4
262
    #define D2U(d) ((unsigned)((d)<=DECMAXD2U?d2utable[d]:((d)+3)>>2))
263
  #else
264
    #define D2U(d) ((d)<=DECMAXD2U?d2utable[d]:((d)+DECDPUN-1)/DECDPUN)
265
  #endif
266
  /* SD2U -- static D2U macro (for compile-time calculation)          */
267
  #define SD2U(d) (((d)+DECDPUN-1)/DECDPUN)
268
 
269
  /* MSUDIGITS -- returns digits in msu, from digits, calculated      */
270
  /* using D2U                                                        */
271
  #define MSUDIGITS(d) ((d)-(D2U(d)-1)*DECDPUN)
272
 
273
  /* D2N -- return the number of decNumber structs that would be      */
274
  /* needed to contain that number of digits (and the initial         */
275
  /* decNumber struct) safely.  Note that one Unit is included in the */
276
  /* initial structure.  Used for allocating space that is aligned on */
277
  /* a decNumber struct boundary. */
278
  #define D2N(d) \
279
    ((((SD2U(d)-1)*sizeof(Unit))+sizeof(decNumber)*2-1)/sizeof(decNumber))
280
 
281
  /* TODIGIT -- macro to remove the leading digit from the unsigned   */
282
  /* integer u at column cut (counting from the right, LSD=0) and     */
283
  /* place it as an ASCII character into the character pointed to by  */
284
  /* c.  Note that cut must be <= 9, and the maximum value for u is   */
285
  /* 2,000,000,000 (as is needed for negative exponents of            */
286
  /* subnormals).  The unsigned integer pow is used as a temporary    */
287
  /* variable. */
288
  #define TODIGIT(u, cut, c, pow) {       \
289
    *(c)='0';                             \
290
    pow=DECPOWERS[cut]*2;                 \
291
    if ((u)>pow) {                        \
292
      pow*=4;                             \
293
      if ((u)>=pow) {(u)-=pow; *(c)+=8;}  \
294
      pow/=2;                             \
295
      if ((u)>=pow) {(u)-=pow; *(c)+=4;}  \
296
      pow/=2;                             \
297
      }                                   \
298
    if ((u)>=pow) {(u)-=pow; *(c)+=2;}    \
299
    pow/=2;                               \
300
    if ((u)>=pow) {(u)-=pow; *(c)+=1;}    \
301
    }
302
 
303
  /* ---------------------------------------------------------------- */
304
  /* Definitions for fixed-precision modules (only valid after        */
305
  /* decSingle.h, decDouble.h, or decQuad.h has been included)        */
306
  /* ---------------------------------------------------------------- */
307
 
308
  /* bcdnum -- a structure describing a format-independent finite     */
309
  /* number, whose coefficient is a string of bcd8 uBytes             */
310
  typedef struct {
311
    uByte   *msd;             /* -> most significant digit            */
312
    uByte   *lsd;             /* -> least ditto                       */
313
    uInt     sign;            /* 0=positive, DECFLOAT_Sign=negative   */
314
    Int      exponent;        /* Unadjusted signed exponent (q), or   */
315
                              /* DECFLOAT_NaN etc. for a special      */
316
    } bcdnum;
317
 
318
  /* Test if exponent or bcdnum exponent must be a special, etc.      */
319
  #define EXPISSPECIAL(exp) ((exp)>=DECFLOAT_MinSp)
320
  #define EXPISINF(exp) (exp==DECFLOAT_Inf)
321
  #define EXPISNAN(exp) (exp==DECFLOAT_qNaN || exp==DECFLOAT_sNaN)
322
  #define NUMISSPECIAL(num) (EXPISSPECIAL((num)->exponent))
323
 
324
  /* Refer to a 32-bit word or byte in a decFloat (df) by big-endian  */
325
  /* (array) notation (the 0 word or byte contains the sign bit),     */
326
  /* automatically adjusting for endianness; similarly address a word */
327
  /* in the next-wider format (decFloatWider, or dfw)                 */
328
  #define DECWORDS  (DECBYTES/4)
329
  #define DECWWORDS (DECWBYTES/4)
330
  #if DECLITEND
331
    #define DFBYTE(df, off)   ((df)->bytes[DECBYTES-1-(off)])
332
    #define DFWORD(df, off)   ((df)->words[DECWORDS-1-(off)])
333
    #define DFWWORD(dfw, off) ((dfw)->words[DECWWORDS-1-(off)])
334
  #else
335
    #define DFBYTE(df, off)   ((df)->bytes[off])
336
    #define DFWORD(df, off)   ((df)->words[off])
337
    #define DFWWORD(dfw, off) ((dfw)->words[off])
338
  #endif
339
 
340
  /* Tests for sign or specials, directly on DECFLOATs                */
341
  #define DFISSIGNED(df)   (DFWORD(df, 0)&0x80000000)
342
  #define DFISSPECIAL(df) ((DFWORD(df, 0)&0x78000000)==0x78000000)
343
  #define DFISINF(df)     ((DFWORD(df, 0)&0x7c000000)==0x78000000)
344
  #define DFISNAN(df)     ((DFWORD(df, 0)&0x7c000000)==0x7c000000)
345
  #define DFISQNAN(df)    ((DFWORD(df, 0)&0x7e000000)==0x7c000000)
346
  #define DFISSNAN(df)    ((DFWORD(df, 0)&0x7e000000)==0x7e000000)
347
 
348
  /* Shared lookup tables                                             */
349
#include "decCommonSymbols.h"
350
  extern const uInt   DECCOMBMSD[64];   /* Combination field -> MSD   */
351
  extern const uInt   DECCOMBFROM[48];  /* exp+msd -> Combination     */
352
 
353
  /* Private generic (utility) routine                                */
354
  #if DECCHECK || DECTRACE
355
    extern void decShowNum(const bcdnum *, const char *);
356
  #endif
357
 
358
  /* Format-dependent macros and constants                            */
359
  #if defined(DECPMAX)
360
 
361
    /* Useful constants                                               */
362
    #define DECPMAX9  (ROUNDUP(DECPMAX, 9)/9)  /* 'Pmax' in 10**9s    */
363
    /* Top words for a zero                                           */
364
    #define SINGLEZERO   0x22500000
365
    #define DOUBLEZERO   0x22380000
366
    #define QUADZERO     0x22080000
367
    /* [ZEROWORD is defined to be one of these in the DFISZERO macro] */
368
 
369
    /* Format-dependent common tests:                                 */
370
    /*   DFISZERO   -- test for (any) zero                            */
371
    /*   DFISCCZERO -- test for coefficient continuation being zero   */
372
    /*   DFISCC01   -- test for coefficient contains only 0s and 1s   */
373
    /*   DFISINT    -- test for finite and exponent q=0               */
374
    /*   DFISUINT01 -- test for sign=0, finite, exponent q=0, and     */
375
    /*                 MSD=0 or 1                                     */
376
    /*   ZEROWORD is also defined here.                               */
377
    /* In DFISZERO the first test checks the least-significant word   */
378
    /* (most likely to be non-zero); the penultimate tests MSD and    */
379
    /* DPDs in the signword, and the final test excludes specials and */
380
    /* MSD>7.  DFISINT similarly has to allow for the two forms of    */
381
    /* MSD codes.  DFISUINT01 only has to allow for one form of MSD   */
382
    /* code.                                                          */
383
    #if DECPMAX==7
384
      #define ZEROWORD SINGLEZERO
385
      /* [test macros not needed except for Zero]                     */
386
      #define DFISZERO(df)  ((DFWORD(df, 0)&0x1c0fffff)==0         \
387
                          && (DFWORD(df, 0)&0x60000000)!=0x60000000)
388
    #elif DECPMAX==16
389
      #define ZEROWORD DOUBLEZERO
390
      #define DFISZERO(df)  ((DFWORD(df, 1)==0                     \
391
                          && (DFWORD(df, 0)&0x1c03ffff)==0           \
392
                          && (DFWORD(df, 0)&0x60000000)!=0x60000000))
393
      #define DFISINT(df) ((DFWORD(df, 0)&0x63fc0000)==0x22380000  \
394
                         ||(DFWORD(df, 0)&0x7bfc0000)==0x6a380000)
395
      #define DFISUINT01(df) ((DFWORD(df, 0)&0xfbfc0000)==0x22380000)
396
      #define DFISCCZERO(df) (DFWORD(df, 1)==0                     \
397
                          && (DFWORD(df, 0)&0x0003ffff)==0)
398
      #define DFISCC01(df)  ((DFWORD(df, 0)&~0xfffc9124)==0        \
399
                          && (DFWORD(df, 1)&~0x49124491)==0)
400
    #elif DECPMAX==34
401
      #define ZEROWORD QUADZERO
402
      #define DFISZERO(df)  ((DFWORD(df, 3)==0                     \
403
                          &&  DFWORD(df, 2)==0                      \
404
                          &&  DFWORD(df, 1)==0                      \
405
                          && (DFWORD(df, 0)&0x1c003fff)==0           \
406
                          && (DFWORD(df, 0)&0x60000000)!=0x60000000))
407
      #define DFISINT(df) ((DFWORD(df, 0)&0x63ffc000)==0x22080000  \
408
                         ||(DFWORD(df, 0)&0x7bffc000)==0x6a080000)
409
      #define DFISUINT01(df) ((DFWORD(df, 0)&0xfbffc000)==0x22080000)
410
      #define DFISCCZERO(df) (DFWORD(df, 3)==0                     \
411
                          &&  DFWORD(df, 2)==0                      \
412
                          &&  DFWORD(df, 1)==0                      \
413
                          && (DFWORD(df, 0)&0x00003fff)==0)
414
 
415
      #define DFISCC01(df)   ((DFWORD(df, 0)&~0xffffc912)==0       \
416
                          &&  (DFWORD(df, 1)&~0x44912449)==0        \
417
                          &&  (DFWORD(df, 2)&~0x12449124)==0        \
418
                          &&  (DFWORD(df, 3)&~0x49124491)==0)
419
    #endif
420
 
421
    /* Macros to test if a certain 10 bits of a uInt or pair of uInts */
422
    /* are a canonical declet [higher or lower bits are ignored].     */
423
    /* declet is at offset 0 (from the right) in a uInt:              */
424
    #define CANONDPD(dpd) (((dpd)&0x300)==0 || ((dpd)&0x6e)!=0x6e)
425
    /* declet is at offset k (a multiple of 2) in a uInt:             */
426
    #define CANONDPDOFF(dpd, k) (((dpd)&(0x300<<(k)))==0            \
427
      || ((dpd)&(((uInt)0x6e)<<(k)))!=(((uInt)0x6e)<<(k)))
428
    /* declet is at offset k (a multiple of 2) in a pair of uInts:    */
429
    /* [the top 2 bits will always be in the more-significant uInt]   */
430
    #define CANONDPDTWO(hi, lo, k) (((hi)&(0x300>>(32-(k))))==0     \
431
      || ((hi)&(0x6e>>(32-(k))))!=(0x6e>>(32-(k)))                  \
432
      || ((lo)&(((uInt)0x6e)<<(k)))!=(((uInt)0x6e)<<(k)))
433
 
434
    /* Macro to test whether a full-length (length DECPMAX) BCD8      */
435
    /* coefficient, starting at uByte u, is all zeros                 */
436
    /* Test just the LSWord first, then the remainder as a sequence   */
437
    /* of tests in order to avoid same-level use of UBTOUI            */
438
    #if DECPMAX==7
439
      #define ISCOEFFZERO(u) (                                      \
440
           UBTOUI((u)+DECPMAX-4)==0                                  \
441
        && UBTOUS((u)+DECPMAX-6)==0                                  \
442
        && *(u)==0)
443
    #elif DECPMAX==16
444
      #define ISCOEFFZERO(u) (                                      \
445
           UBTOUI((u)+DECPMAX-4)==0                                  \
446
        && UBTOUI((u)+DECPMAX-8)==0                                  \
447
        && UBTOUI((u)+DECPMAX-12)==0                                 \
448
        && UBTOUI(u)==0)
449
    #elif DECPMAX==34
450
      #define ISCOEFFZERO(u) (                                      \
451
           UBTOUI((u)+DECPMAX-4)==0                                  \
452
        && UBTOUI((u)+DECPMAX-8)==0                                  \
453
        && UBTOUI((u)+DECPMAX-12)==0                                 \
454
        && UBTOUI((u)+DECPMAX-16)==0                                 \
455
        && UBTOUI((u)+DECPMAX-20)==0                                 \
456
        && UBTOUI((u)+DECPMAX-24)==0                                 \
457
        && UBTOUI((u)+DECPMAX-28)==0                                 \
458
        && UBTOUI((u)+DECPMAX-32)==0                                 \
459
        && UBTOUS(u)==0)
460
    #endif
461
 
462
    /* Macros and masks for the exponent continuation field and MSD   */
463
    /* Get the exponent continuation from a decFloat *df as an Int    */
464
    #define GETECON(df) ((Int)((DFWORD((df), 0)&0x03ffffff)>>(32-6-DECECONL)))
465
    /* Ditto, from the next-wider format                              */
466
    #define GETWECON(df) ((Int)((DFWWORD((df), 0)&0x03ffffff)>>(32-6-DECWECONL)))
467
    /* Get the biased exponent similarly                              */
468
    #define GETEXP(df)  ((Int)(DECCOMBEXP[DFWORD((df), 0)>>26]+GETECON(df)))
469
    /* Get the unbiased exponent similarly                            */
470
    #define GETEXPUN(df) ((Int)GETEXP(df)-DECBIAS)
471
    /* Get the MSD similarly (as uInt)                                */
472
    #define GETMSD(df)   (DECCOMBMSD[DFWORD((df), 0)>>26])
473
 
474
    /* Compile-time computes of the exponent continuation field masks */
475
    /* full exponent continuation field:                              */
476
    #define ECONMASK ((0x03ffffff>>(32-6-DECECONL))<<(32-6-DECECONL))
477
    /* same, not including its first digit (the qNaN/sNaN selector):  */
478
    #define ECONNANMASK ((0x01ffffff>>(32-6-DECECONL))<<(32-6-DECECONL))
479
 
480
    /* Macros to decode the coefficient in a finite decFloat *df into */
481
    /* a BCD string (uByte *bcdin) of length DECPMAX uBytes.          */
482
 
483
    /* In-line sequence to convert least significant 10 bits of uInt  */
484
    /* dpd to three BCD8 digits starting at uByte u.  Note that an    */
485
    /* extra byte is written to the right of the three digits because */
486
    /* four bytes are moved at a time for speed; the alternative      */
487
    /* macro moves exactly three bytes (usually slower).              */
488
    #define dpd2bcd8(u, dpd)  memcpy(u, &DPD2BCD8[((dpd)&0x3ff)*4], 4)
489
    #define dpd2bcd83(u, dpd) memcpy(u, &DPD2BCD8[((dpd)&0x3ff)*4], 3)
490
 
491
    /* Decode the declets.  After extracting each one, it is decoded  */
492
    /* to BCD8 using a table lookup (also used for variable-length    */
493
    /* decode).  Each DPD decode is 3 bytes BCD8 plus a one-byte      */
494
    /* length which is not used, here).  Fixed-length 4-byte moves    */
495
    /* are fast, however, almost everywhere, and so are used except   */
496
    /* for the final three bytes (to avoid overrun).  The code below  */
497
    /* is 36 instructions for Doubles and about 70 for Quads, even    */
498
    /* on IA32.                                                       */
499
 
500
    /* Two macros are defined for each format:                        */
501
    /*   GETCOEFF extracts the coefficient of the current format      */
502
    /*   GETWCOEFF extracts the coefficient of the next-wider format. */
503
    /* The latter is a copy of the next-wider GETCOEFF using DFWWORD. */
504
 
505
    #if DECPMAX==7
506
    #define GETCOEFF(df, bcd) {                          \
507
      uInt sourhi=DFWORD(df, 0);                  \
508
      *(bcd)=(uByte)DECCOMBMSD[sourhi>>26];              \
509
      dpd2bcd8(bcd+1, sourhi>>10);                       \
510
      dpd2bcd83(bcd+4, sourhi);}
511
    #define GETWCOEFF(df, bcd) {                         \
512
      uInt sourhi=DFWWORD(df, 0);                         \
513
      uInt sourlo=DFWWORD(df, 1);                        \
514
      *(bcd)=(uByte)DECCOMBMSD[sourhi>>26];              \
515
      dpd2bcd8(bcd+1, sourhi>>8);                        \
516
      dpd2bcd8(bcd+4, (sourhi<<2) | (sourlo>>30));       \
517
      dpd2bcd8(bcd+7, sourlo>>20);                       \
518
      dpd2bcd8(bcd+10, sourlo>>10);                      \
519
      dpd2bcd83(bcd+13, sourlo);}
520
 
521
    #elif DECPMAX==16
522
    #define GETCOEFF(df, bcd) {                          \
523
      uInt sourhi=DFWORD(df, 0);                  \
524
      uInt sourlo=DFWORD(df, 1);                         \
525
      *(bcd)=(uByte)DECCOMBMSD[sourhi>>26];              \
526
      dpd2bcd8(bcd+1, sourhi>>8);                        \
527
      dpd2bcd8(bcd+4, (sourhi<<2) | (sourlo>>30));       \
528
      dpd2bcd8(bcd+7, sourlo>>20);                       \
529
      dpd2bcd8(bcd+10, sourlo>>10);                      \
530
      dpd2bcd83(bcd+13, sourlo);}
531
    #define GETWCOEFF(df, bcd) {                         \
532
      uInt sourhi=DFWWORD(df, 0);                         \
533
      uInt sourmh=DFWWORD(df, 1);                        \
534
      uInt sourml=DFWWORD(df, 2);                        \
535
      uInt sourlo=DFWWORD(df, 3);                        \
536
      *(bcd)=(uByte)DECCOMBMSD[sourhi>>26];              \
537
      dpd2bcd8(bcd+1, sourhi>>4);                        \
538
      dpd2bcd8(bcd+4, ((sourhi)<<6) | (sourmh>>26));     \
539
      dpd2bcd8(bcd+7, sourmh>>16);                       \
540
      dpd2bcd8(bcd+10, sourmh>>6);                       \
541
      dpd2bcd8(bcd+13, ((sourmh)<<4) | (sourml>>28));    \
542
      dpd2bcd8(bcd+16, sourml>>18);                      \
543
      dpd2bcd8(bcd+19, sourml>>8);                       \
544
      dpd2bcd8(bcd+22, ((sourml)<<2) | (sourlo>>30));    \
545
      dpd2bcd8(bcd+25, sourlo>>20);                      \
546
      dpd2bcd8(bcd+28, sourlo>>10);                      \
547
      dpd2bcd83(bcd+31, sourlo);}
548
 
549
    #elif DECPMAX==34
550
    #define GETCOEFF(df, bcd) {                          \
551
      uInt sourhi=DFWORD(df, 0);                  \
552
      uInt sourmh=DFWORD(df, 1);                         \
553
      uInt sourml=DFWORD(df, 2);                         \
554
      uInt sourlo=DFWORD(df, 3);                         \
555
      *(bcd)=(uByte)DECCOMBMSD[sourhi>>26];              \
556
      dpd2bcd8(bcd+1, sourhi>>4);                        \
557
      dpd2bcd8(bcd+4, ((sourhi)<<6) | (sourmh>>26));     \
558
      dpd2bcd8(bcd+7, sourmh>>16);                       \
559
      dpd2bcd8(bcd+10, sourmh>>6);                       \
560
      dpd2bcd8(bcd+13, ((sourmh)<<4) | (sourml>>28));    \
561
      dpd2bcd8(bcd+16, sourml>>18);                      \
562
      dpd2bcd8(bcd+19, sourml>>8);                       \
563
      dpd2bcd8(bcd+22, ((sourml)<<2) | (sourlo>>30));    \
564
      dpd2bcd8(bcd+25, sourlo>>20);                      \
565
      dpd2bcd8(bcd+28, sourlo>>10);                      \
566
      dpd2bcd83(bcd+31, sourlo);}
567
 
568
      #define GETWCOEFF(df, bcd) {??} /* [should never be used]       */
569
    #endif
570
 
571
    /* Macros to decode the coefficient in a finite decFloat *df into */
572
    /* a base-billion uInt array, with the least-significant          */
573
    /* 0-999999999 'digit' at offset 0.                               */
574
 
575
    /* Decode the declets.  After extracting each one, it is decoded  */
576
    /* to binary using a table lookup.  Three tables are used; one    */
577
    /* the usual DPD to binary, the other two pre-multiplied by 1000  */
578
    /* and 1000000 to avoid multiplication during decode.  These      */
579
    /* tables can also be used for multiplying up the MSD as the DPD  */
580
    /* code for 0 through 9 is the identity.                          */
581
    #define DPD2BIN0 DPD2BIN         /* for prettier code             */
582
 
583
    #if DECPMAX==7
584
    #define GETCOEFFBILL(df, buf) {                           \
585
      uInt sourhi=DFWORD(df, 0);                       \
586
      (buf)[0]=DPD2BIN0[sourhi&0x3ff]                          \
587
              +DPD2BINK[(sourhi>>10)&0x3ff]                   \
588
              +DPD2BINM[DECCOMBMSD[sourhi>>26]];}
589
 
590
    #elif DECPMAX==16
591
    #define GETCOEFFBILL(df, buf) {                           \
592
      uInt sourhi, sourlo;                                    \
593
      sourlo=DFWORD(df, 1);                                   \
594
      (buf)[0]=DPD2BIN0[sourlo&0x3ff]                          \
595
              +DPD2BINK[(sourlo>>10)&0x3ff]                   \
596
              +DPD2BINM[(sourlo>>20)&0x3ff];                  \
597
      sourhi=DFWORD(df, 0);                                    \
598
      (buf)[1]=DPD2BIN0[((sourhi<<2) | (sourlo>>30))&0x3ff]   \
599
              +DPD2BINK[(sourhi>>8)&0x3ff]                    \
600
              +DPD2BINM[DECCOMBMSD[sourhi>>26]];}
601
 
602
    #elif DECPMAX==34
603
    #define GETCOEFFBILL(df, buf) {                           \
604
      uInt sourhi, sourmh, sourml, sourlo;                    \
605
      sourlo=DFWORD(df, 3);                                   \
606
      (buf)[0]=DPD2BIN0[sourlo&0x3ff]                          \
607
              +DPD2BINK[(sourlo>>10)&0x3ff]                   \
608
              +DPD2BINM[(sourlo>>20)&0x3ff];                  \
609
      sourml=DFWORD(df, 2);                                   \
610
      (buf)[1]=DPD2BIN0[((sourml<<2) | (sourlo>>30))&0x3ff]   \
611
              +DPD2BINK[(sourml>>8)&0x3ff]                    \
612
              +DPD2BINM[(sourml>>18)&0x3ff];                  \
613
      sourmh=DFWORD(df, 1);                                   \
614
      (buf)[2]=DPD2BIN0[((sourmh<<4) | (sourml>>28))&0x3ff]   \
615
              +DPD2BINK[(sourmh>>6)&0x3ff]                    \
616
              +DPD2BINM[(sourmh>>16)&0x3ff];                  \
617
      sourhi=DFWORD(df, 0);                                    \
618
      (buf)[3]=DPD2BIN0[((sourhi<<6) | (sourmh>>26))&0x3ff]   \
619
              +DPD2BINK[(sourhi>>4)&0x3ff]                    \
620
              +DPD2BINM[DECCOMBMSD[sourhi>>26]];}
621
 
622
    #endif
623
 
624
    /* Macros to decode the coefficient in a finite decFloat *df into */
625
    /* a base-thousand uInt array (of size DECLETS+1, to allow for    */
626
    /* the MSD), with the least-significant 0-999 'digit' at offset 0.*/
627
 
628
    /* Decode the declets.  After extracting each one, it is decoded  */
629
    /* to binary using a table lookup.                                */
630
    #if DECPMAX==7
631
    #define GETCOEFFTHOU(df, buf) {                           \
632
      uInt sourhi=DFWORD(df, 0);                       \
633
      (buf)[0]=DPD2BIN[sourhi&0x3ff];                          \
634
      (buf)[1]=DPD2BIN[(sourhi>>10)&0x3ff];                   \
635
      (buf)[2]=DECCOMBMSD[sourhi>>26];}
636
 
637
    #elif DECPMAX==16
638
    #define GETCOEFFTHOU(df, buf) {                           \
639
      uInt sourhi, sourlo;                                    \
640
      sourlo=DFWORD(df, 1);                                   \
641
      (buf)[0]=DPD2BIN[sourlo&0x3ff];                          \
642
      (buf)[1]=DPD2BIN[(sourlo>>10)&0x3ff];                   \
643
      (buf)[2]=DPD2BIN[(sourlo>>20)&0x3ff];                   \
644
      sourhi=DFWORD(df, 0);                                    \
645
      (buf)[3]=DPD2BIN[((sourhi<<2) | (sourlo>>30))&0x3ff];   \
646
      (buf)[4]=DPD2BIN[(sourhi>>8)&0x3ff];                    \
647
      (buf)[5]=DECCOMBMSD[sourhi>>26];}
648
 
649
    #elif DECPMAX==34
650
    #define GETCOEFFTHOU(df, buf) {                           \
651
      uInt sourhi, sourmh, sourml, sourlo;                    \
652
      sourlo=DFWORD(df, 3);                                   \
653
      (buf)[0]=DPD2BIN[sourlo&0x3ff];                          \
654
      (buf)[1]=DPD2BIN[(sourlo>>10)&0x3ff];                   \
655
      (buf)[2]=DPD2BIN[(sourlo>>20)&0x3ff];                   \
656
      sourml=DFWORD(df, 2);                                   \
657
      (buf)[3]=DPD2BIN[((sourml<<2) | (sourlo>>30))&0x3ff];   \
658
      (buf)[4]=DPD2BIN[(sourml>>8)&0x3ff];                    \
659
      (buf)[5]=DPD2BIN[(sourml>>18)&0x3ff];                   \
660
      sourmh=DFWORD(df, 1);                                   \
661
      (buf)[6]=DPD2BIN[((sourmh<<4) | (sourml>>28))&0x3ff];   \
662
      (buf)[7]=DPD2BIN[(sourmh>>6)&0x3ff];                    \
663
      (buf)[8]=DPD2BIN[(sourmh>>16)&0x3ff];                   \
664
      sourhi=DFWORD(df, 0);                                    \
665
      (buf)[9]=DPD2BIN[((sourhi<<6) | (sourmh>>26))&0x3ff];   \
666
      (buf)[10]=DPD2BIN[(sourhi>>4)&0x3ff];                   \
667
      (buf)[11]=DECCOMBMSD[sourhi>>26];}
668
    #endif
669
 
670
 
671
    /* Macros to decode the coefficient in a finite decFloat *df and  */
672
    /* add to a base-thousand uInt array (as for GETCOEFFTHOU).       */
673
    /* After the addition then most significant 'digit' in the array  */
674
    /* might have a value larger then 10 (with a maximum of 19).      */
675
    #if DECPMAX==7
676
    #define ADDCOEFFTHOU(df, buf) {                           \
677
      uInt sourhi=DFWORD(df, 0);                       \
678
      (buf)[0]+=DPD2BIN[sourhi&0x3ff];                         \
679
      if (buf[0]>999) {buf[0]-=1000; buf[1]++;}         \
680
      (buf)[1]+=DPD2BIN[(sourhi>>10)&0x3ff];                  \
681
      if (buf[1]>999) {buf[1]-=1000; buf[2]++;}               \
682
      (buf)[2]+=DECCOMBMSD[sourhi>>26];}
683
 
684
    #elif DECPMAX==16
685
    #define ADDCOEFFTHOU(df, buf) {                           \
686
      uInt sourhi, sourlo;                                    \
687
      sourlo=DFWORD(df, 1);                                   \
688
      (buf)[0]+=DPD2BIN[sourlo&0x3ff];                         \
689
      if (buf[0]>999) {buf[0]-=1000; buf[1]++;}         \
690
      (buf)[1]+=DPD2BIN[(sourlo>>10)&0x3ff];                  \
691
      if (buf[1]>999) {buf[1]-=1000; buf[2]++;}               \
692
      (buf)[2]+=DPD2BIN[(sourlo>>20)&0x3ff];                  \
693
      if (buf[2]>999) {buf[2]-=1000; buf[3]++;}               \
694
      sourhi=DFWORD(df, 0);                                    \
695
      (buf)[3]+=DPD2BIN[((sourhi<<2) | (sourlo>>30))&0x3ff];  \
696
      if (buf[3]>999) {buf[3]-=1000; buf[4]++;}               \
697
      (buf)[4]+=DPD2BIN[(sourhi>>8)&0x3ff];                   \
698
      if (buf[4]>999) {buf[4]-=1000; buf[5]++;}               \
699
      (buf)[5]+=DECCOMBMSD[sourhi>>26];}
700
 
701
    #elif DECPMAX==34
702
    #define ADDCOEFFTHOU(df, buf) {                           \
703
      uInt sourhi, sourmh, sourml, sourlo;                    \
704
      sourlo=DFWORD(df, 3);                                   \
705
      (buf)[0]+=DPD2BIN[sourlo&0x3ff];                         \
706
      if (buf[0]>999) {buf[0]-=1000; buf[1]++;}         \
707
      (buf)[1]+=DPD2BIN[(sourlo>>10)&0x3ff];                  \
708
      if (buf[1]>999) {buf[1]-=1000; buf[2]++;}               \
709
      (buf)[2]+=DPD2BIN[(sourlo>>20)&0x3ff];                  \
710
      if (buf[2]>999) {buf[2]-=1000; buf[3]++;}               \
711
      sourml=DFWORD(df, 2);                                   \
712
      (buf)[3]+=DPD2BIN[((sourml<<2) | (sourlo>>30))&0x3ff];  \
713
      if (buf[3]>999) {buf[3]-=1000; buf[4]++;}               \
714
      (buf)[4]+=DPD2BIN[(sourml>>8)&0x3ff];                   \
715
      if (buf[4]>999) {buf[4]-=1000; buf[5]++;}               \
716
      (buf)[5]+=DPD2BIN[(sourml>>18)&0x3ff];                  \
717
      if (buf[5]>999) {buf[5]-=1000; buf[6]++;}               \
718
      sourmh=DFWORD(df, 1);                                   \
719
      (buf)[6]+=DPD2BIN[((sourmh<<4) | (sourml>>28))&0x3ff];  \
720
      if (buf[6]>999) {buf[6]-=1000; buf[7]++;}               \
721
      (buf)[7]+=DPD2BIN[(sourmh>>6)&0x3ff];                   \
722
      if (buf[7]>999) {buf[7]-=1000; buf[8]++;}               \
723
      (buf)[8]+=DPD2BIN[(sourmh>>16)&0x3ff];                  \
724
      if (buf[8]>999) {buf[8]-=1000; buf[9]++;}               \
725
      sourhi=DFWORD(df, 0);                                    \
726
      (buf)[9]+=DPD2BIN[((sourhi<<6) | (sourmh>>26))&0x3ff];  \
727
      if (buf[9]>999) {buf[9]-=1000; buf[10]++;}              \
728
      (buf)[10]+=DPD2BIN[(sourhi>>4)&0x3ff];                  \
729
      if (buf[10]>999) {buf[10]-=1000; buf[11]++;}            \
730
      (buf)[11]+=DECCOMBMSD[sourhi>>26];}
731
    #endif
732
 
733
 
734
    /* Set a decFloat to the maximum positive finite number (Nmax)    */
735
    #if DECPMAX==7
736
    #define DFSETNMAX(df)            \
737
      {DFWORD(df, 0)=0x77f3fcff;}
738
    #elif DECPMAX==16
739
    #define DFSETNMAX(df)            \
740
      {DFWORD(df, 0)=0x77fcff3f;     \
741
       DFWORD(df, 1)=0xcff3fcff;}
742
    #elif DECPMAX==34
743
    #define DFSETNMAX(df)            \
744
      {DFWORD(df, 0)=0x77ffcff3;     \
745
       DFWORD(df, 1)=0xfcff3fcf;     \
746
       DFWORD(df, 2)=0xf3fcff3f;     \
747
       DFWORD(df, 3)=0xcff3fcff;}
748
    #endif
749
 
750
  /* [end of format-dependent macros and constants]                   */
751
  #endif
752
 
753
#else
754
  #error decNumberLocal included more than once
755
#endif

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