include/libdecnumber/decNumberLocal.h

   1 /* Local definitions for the decNumber C Library.
   2    Copyright (C) 2007 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 2, or (at your option) any later
  10    version.
  11
  12    In addition to the permissions in the GNU General Public License,
  13    the Free Software Foundation gives you unlimited permission to link
  14    the compiled version of this file into combinations with other
  15    programs, and to distribute those combinations without any
  16    restriction coming from the use of this file.  (The General Public
  17    License restrictions do apply in other respects; for example, they
  18    cover modification of the file, and distribution when not linked
  19    into a combine executable.)
  20
  21    GCC is distributed in the hope that it will be useful, but WITHOUT ANY
  22    WARRANTY; without even the implied warranty of MERCHANTABILITY or
  23    FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
  24    for more details.
  25
  26    You should have received a copy of the GNU General Public License
  27    along with GCC; see the file COPYING.  If not, write to the Free
  28    Software Foundation, 51 Franklin Street, Fifth Floor, Boston, MA
  29    02110-1301, USA.  */
  30
  31 /* ------------------------------------------------------------------ */
  32 /* decNumber package local type, tuning, and macro definitions        */
  33 /* ------------------------------------------------------------------ */
  34 /* This header file is included by all modules in the decNumber       */
  35 /* library, and contains local type definitions, tuning parameters,   */
  36 /* etc.  It should not need to be used by application programs.       */
  37 /* decNumber.h or one of decDouble (etc.) must be included first.     */
  38 /* ------------------------------------------------------------------ */
  39
  40 #if !defined(DECNUMBERLOC)
  41   #define DECNUMBERLOC
  42   #define DECVERSION    "decNumber 3.53" /* Package Version [16 max.] */
  43   #define DECNLAUTHOR   "Mike Cowlishaw"              /* Who to blame */
  44
  45   #include "libdecnumber/dconfig.h"
  46
  47   /* Conditional code flag -- set this to match hardware platform     */
  48   /* 1=little-endian, 0=big-endian                                    */
  49   #if WORDS_BIGENDIAN
  50   #define DECLITEND 0
  51   #else
  52   #define DECLITEND 1
  53   #endif
  54
  55   /* Conditional code flag -- set this to 1 for best performance      */
  56   #define DECUSE64  1         /* 1=use int64s, 0=int32 & smaller only */
  57
  58   /* Conditional check flags -- set these to 0 for best performance   */
  59   #define DECCHECK  0         /* 1 to enable robust checking          */
  60   #define DECALLOC  0         /* 1 to enable memory accounting        */
  61   #define DECTRACE  0         /* 1 to trace certain internals, etc.   */
  62
  63   /* Tuning parameter for decNumber (arbitrary precision) module      */
  64   #define DECBUFFER 36        /* Size basis for local buffers.  This  */
  65                               /* should be a common maximum precision */
  66                               /* rounded up to a multiple of 4; must  */
  67                               /* be zero or positive.                 */
  68
  69   /* ---------------------------------------------------------------- */
  70   /* Definitions for all modules (general-purpose)                    */
  71   /* ---------------------------------------------------------------- */
  72
  73   /* Local names for common types -- for safety, decNumber modules do */
  74   /* not use int or long directly.                                    */
  75   #define Flag   uint8_t
  76   #define Byte   int8_t
  77   #define uByte  uint8_t
  78   #define Short  int16_t
  79   #define uShort uint16_t
  80   #define Int    int32_t
  81   #define uInt   uint32_t
  82   #define Unit   decNumberUnit
  83   #if DECUSE64
  84   #define Long   int64_t
  85   #define uLong  uint64_t
  86   #endif
  87
  88   /* Development-use definitions                                      */
  89   typedef long int LI;        /* for printf arguments only            */
  90   #define DECNOINT  0         /* 1 to check no internal use of 'int'  */
  91   #if DECNOINT
  92     /* if these interfere with your C includes, do not set DECNOINT   */
  93     #define  int ?            /* enable to ensure that plain C 'int'  */
  94     #define  long ??          /* .. or 'long' types are not used      */
  95   #endif
  96
  97   /* Shared lookup tables                                             */
  98   extern const uByte  DECSTICKYTAB[10]; /* re-round digits if sticky  */
  99   extern const uLong  DECPOWERS[19];    /* powers of ten table        */
 100   /* The following are included from decDPD.h                         */
 101   extern const uShort DPD2BIN[1024];    /* DPD -> 0-999               */
 102   extern const uShort BIN2DPD[1000];    /* 0-999 -> DPD               */
 103   extern const uInt   DPD2BINK[1024];   /* DPD -> 0-999000            */
 104   extern const uInt   DPD2BINM[1024];   /* DPD -> 0-999000000         */
 105   extern const uByte  DPD2BCD8[4096];   /* DPD -> ddd + len           */
 106   extern const uByte  BIN2BCD8[4000];   /* 0-999 -> ddd + len         */
 107   extern const uShort BCD2DPD[2458];    /* 0-0x999 -> DPD (0x999=2457)*/
 108
 109   /* LONGMUL32HI -- set w=(u*v)>>32, where w, u, and v are uInts      */
 110   /* (that is, sets w to be the high-order word of the 64-bit result; */
 111   /* the low-order word is simply u*v.)                               */
 112   /* This version is derived from Knuth via Hacker's Delight;         */
 113   /* it seems to optimize better than some others tried               */
 114   #define LONGMUL32HI(w, u, v) {             \
 115     uInt u0, u1, v0, v1, w0, w1, w2, t;      \
 116     u0=u & 0xffff; u1=u>>16;                 \
 117     v0=v & 0xffff; v1=v>>16;                 \
 118     w0=u0*v0;                                \
 119     t=u1*v0 + (w0>>16);                      \
 120     w1=t & 0xffff; w2=t>>16;                 \
 121     w1=u0*v1 + w1;                           \
 122     (w)=u1*v1 + w2 + (w1>>16);}
 123
 124   /* ROUNDUP -- round an integer up to a multiple of n                */
 125   #define ROUNDUP(i, n) ((((i)+(n)-1)/n)*n)
 126
 127   /* ROUNDDOWN -- round an integer down to a multiple of n            */
 128   #define ROUNDDOWN(i, n) (((i)/n)*n)
 129   #define ROUNDDOWN4(i)   ((i)&~3)      /* special for n=4            */
 130
 131   /* References to multi-byte sequences under different sizes         */
 132   /* Refer to a uInt from four bytes starting at a char* or uByte*,   */
 133   /* etc.                                                             */
 134   #define UINTAT(b)   (*((uInt   *)(b)))
 135   #define USHORTAT(b) (*((uShort *)(b)))
 136   #define UBYTEAT(b)  (*((uByte  *)(b)))
 137
 138   /* X10 and X100 -- multiply integer i by 10 or 100                  */
 139   /* [shifts are usually faster than multiply; could be conditional]  */
 140   #define X10(i)  (((i)<<1)+((i)<<3))
 141   #define X100(i) (((i)<<2)+((i)<<5)+((i)<<6))
 142
 143   /* MAXI and MINI -- general max & min (not in ANSI) for integers    */
 144   #define MAXI(x,y) ((x)<(y)?(y):(x))
 145   #define MINI(x,y) ((x)>(y)?(y):(x))
 146
 147   /* Useful constants                                                 */
 148   #define BILLION      1000000000            /* 10**9                 */
 149   /* CHARMASK: 0x30303030 for ASCII/UTF8; 0xF0F0F0F0 for EBCDIC       */
 150   #define CHARMASK ((((((((uInt)'0')<<8)+'0')<<8)+'0')<<8)+'0')
 151
 152
 153   /* ---------------------------------------------------------------- */
 154   /* Definitions for arbitrary-precision modules (only valid after    */
 155   /* decNumber.h has been included)                                   */
 156   /* ---------------------------------------------------------------- */
 157
 158   /* Limits and constants                                             */
 159   #define DECNUMMAXP 999999999  /* maximum precision code can handle  */
 160   #define DECNUMMAXE 999999999  /* maximum adjusted exponent ditto    */
 161   #define DECNUMMINE -999999999 /* minimum adjusted exponent ditto    */
 162   #if (DECNUMMAXP != DEC_MAX_DIGITS)
 163     #error Maximum digits mismatch
 164   #endif
 165   #if (DECNUMMAXE != DEC_MAX_EMAX)
 166     #error Maximum exponent mismatch
 167   #endif
 168   #if (DECNUMMINE != DEC_MIN_EMIN)
 169     #error Minimum exponent mismatch
 170   #endif
 171
 172   /* Set DECDPUNMAX -- the maximum integer that fits in DECDPUN       */
 173   /* digits, and D2UTABLE -- the initializer for the D2U table        */
 174   #if   DECDPUN==1
 175     #define DECDPUNMAX 9
 176     #define D2UTABLE {0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,  \
 177                       18,19,20,21,22,23,24,25,26,27,28,29,30,31,32, \
 178                       33,34,35,36,37,38,39,40,41,42,43,44,45,46,47, \
 179                       48,49}
 180   #elif DECDPUN==2
 181     #define DECDPUNMAX 99
 182     #define D2UTABLE {0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,  \
 183                       11,11,12,12,13,13,14,14,15,15,16,16,17,17,18, \
 184                       18,19,19,20,20,21,21,22,22,23,23,24,24,25}
 185   #elif DECDPUN==3
 186     #define DECDPUNMAX 999
 187     #define D2UTABLE {0,1,1,1,2,2,2,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,  \
 188                       8,8,8,9,9,9,10,10,10,11,11,11,12,12,12,13,13, \
 189                       13,14,14,14,15,15,15,16,16,16,17}
 190   #elif DECDPUN==4
 191     #define DECDPUNMAX 9999
 192     #define D2UTABLE {0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,5,5,5,5,6,  \
 193                       6,6,6,7,7,7,7,8,8,8,8,9,9,9,9,10,10,10,10,11, \
 194                       11,11,11,12,12,12,12,13}
 195   #elif DECDPUN==5
 196     #define DECDPUNMAX 99999
 197     #define D2UTABLE {0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,5,  \
 198                       5,5,5,5,6,6,6,6,6,7,7,7,7,7,8,8,8,8,8,9,9,9,  \
 199                       9,9,10,10,10,10}
 200   #elif DECDPUN==6
 201     #define DECDPUNMAX 999999
 202     #define D2UTABLE {0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,  \
 203                       4,4,4,5,5,5,5,5,5,6,6,6,6,6,6,7,7,7,7,7,7,8,  \
 204                       8,8,8,8,8,9}
 205   #elif DECDPUN==7
 206     #define DECDPUNMAX 9999999
 207     #define D2UTABLE {0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,  \
 208                       4,4,4,4,4,4,4,5,5,5,5,5,5,5,6,6,6,6,6,6,6,7,  \
 209                       7,7,7,7,7,7}
 210   #elif DECDPUN==8
 211     #define DECDPUNMAX 99999999
 212     #define D2UTABLE {0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,  \
 213                       3,3,3,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,6,6,6,  \
 214                       6,6,6,6,6,7}
 215   #elif DECDPUN==9
 216     #define DECDPUNMAX 999999999
 217     #define D2UTABLE {0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,  \
 218                       3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,  \
 219                       5,5,6,6,6,6}
 220   #elif defined(DECDPUN)
 221     #error DECDPUN must be in the range 1-9
 222   #endif
 223
 224   /* ----- Shared data (in decNumber.c) ----- */
 225   /* Public lookup table used by the D2U macro (see below)            */
 226   #define DECMAXD2U 49
 227   extern const uByte d2utable[DECMAXD2U+1];
 228
 229   /* ----- Macros ----- */
 230   /* ISZERO -- return true if decNumber dn is a zero                  */
 231   /* [performance-critical in some situations]                        */
 232   #define ISZERO(dn) decNumberIsZero(dn)     /* now just a local name */
 233
 234   /* D2U -- return the number of Units needed to hold d digits        */
 235   /* (runtime version, with table lookaside for small d)              */
 236   #if DECDPUN==8
 237     #define D2U(d) ((unsigned)((d)<=DECMAXD2U?d2utable[d]:((d)+7)>>3))
 238   #elif DECDPUN==4
 239     #define D2U(d) ((unsigned)((d)<=DECMAXD2U?d2utable[d]:((d)+3)>>2))
 240   #else
 241     #define D2U(d) ((d)<=DECMAXD2U?d2utable[d]:((d)+DECDPUN-1)/DECDPUN)
 242   #endif
 243   /* SD2U -- static D2U macro (for compile-time calculation)          */
 244   #define SD2U(d) (((d)+DECDPUN-1)/DECDPUN)
 245
 246   /* MSUDIGITS -- returns digits in msu, from digits, calculated      */
 247   /* using D2U                                                        */
 248   #define MSUDIGITS(d) ((d)-(D2U(d)-1)*DECDPUN)
 249
 250   /* D2N -- return the number of decNumber structs that would be      */
 251   /* needed to contain that number of digits (and the initial         */
 252   /* decNumber struct) safely.  Note that one Unit is included in the */
 253   /* initial structure.  Used for allocating space that is aligned on */
 254   /* a decNumber struct boundary. */
 255   #define D2N(d) \
 256     ((((SD2U(d)-1)*sizeof(Unit))+sizeof(decNumber)*2-1)/sizeof(decNumber))
 257
 258   /* TODIGIT -- macro to remove the leading digit from the unsigned   */
 259   /* integer u at column cut (counting from the right, LSD=0) and     */
 260   /* place it as an ASCII character into the character pointed to by  */
 261   /* c.  Note that cut must be <= 9, and the maximum value for u is   */
 262   /* 2,000,000,000 (as is needed for negative exponents of            */
 263   /* subnormals).  The unsigned integer pow is used as a temporary    */
 264   /* variable. */
 265   #define TODIGIT(u, cut, c, pow) {       \
 266     *(c)='0';                             \
 267     pow=DECPOWERS[cut]*2;                 \
 268     if ((u)>pow) {                        \
 269       pow*=4;                             \
 270       if ((u)>=pow) {(u)-=pow; *(c)+=8;}  \
 271       pow/=2;                             \
 272       if ((u)>=pow) {(u)-=pow; *(c)+=4;}  \
 273       pow/=2;                             \
 274       }                                   \
 275     if ((u)>=pow) {(u)-=pow; *(c)+=2;}    \
 276     pow/=2;                               \
 277     if ((u)>=pow) {(u)-=pow; *(c)+=1;}    \
 278     }
 279
 280   /* ---------------------------------------------------------------- */
 281   /* Definitions for fixed-precision modules (only valid after        */
 282   /* decSingle.h, decDouble.h, or decQuad.h has been included)        */
 283   /* ---------------------------------------------------------------- */
 284
 285   /* bcdnum -- a structure describing a format-independent finite     */
 286   /* number, whose coefficient is a string of bcd8 uBytes             */
 287   typedef struct {
 288     uByte   *msd;             /* -> most significant digit            */
 289     uByte   *lsd;             /* -> least ditto                       */
 290     uInt     sign;            /* 0=positive, DECFLOAT_Sign=negative   */
 291     Int      exponent;        /* Unadjusted signed exponent (q), or   */
 292                               /* DECFLOAT_NaN etc. for a special      */
 293     } bcdnum;
 294
 295   /* Test if exponent or bcdnum exponent must be a special, etc.      */
 296   #define EXPISSPECIAL(exp) ((exp)>=DECFLOAT_MinSp)
 297   #define EXPISINF(exp) (exp==DECFLOAT_Inf)
 298   #define EXPISNAN(exp) (exp==DECFLOAT_qNaN || exp==DECFLOAT_sNaN)
 299   #define NUMISSPECIAL(num) (EXPISSPECIAL((num)->exponent))
 300
 301   /* Refer to a 32-bit word or byte in a decFloat (df) by big-endian  */
 302   /* (array) notation (the 0 word or byte contains the sign bit),     */
 303   /* automatically adjusting for endianness; similarly address a word */
 304   /* in the next-wider format (decFloatWider, or dfw)                 */
 305   #define DECWORDS  (DECBYTES/4)
 306   #define DECWWORDS (DECWBYTES/4)
 307   #if DECLITEND
 308     #define DFWORD(df, off) ((df)->words[DECWORDS-1-(off)])
 309     #define DFBYTE(df, off) ((df)->bytes[DECBYTES-1-(off)])
 310     #define DFWWORD(dfw, off) ((dfw)->words[DECWWORDS-1-(off)])
 311   #else
 312     #define DFWORD(df, off) ((df)->words[off])
 313     #define DFBYTE(df, off) ((df)->bytes[off])
 314     #define DFWWORD(dfw, off) ((dfw)->words[off])
 315   #endif
 316
 317   /* Tests for sign or specials, directly on DECFLOATs                */
 318   #define DFISSIGNED(df)   (DFWORD(df, 0)&0x80000000)
 319   #define DFISSPECIAL(df) ((DFWORD(df, 0)&0x78000000)==0x78000000)
 320   #define DFISINF(df)     ((DFWORD(df, 0)&0x7c000000)==0x78000000)
 321   #define DFISNAN(df)     ((DFWORD(df, 0)&0x7c000000)==0x7c000000)
 322   #define DFISQNAN(df)    ((DFWORD(df, 0)&0x7e000000)==0x7c000000)
 323   #define DFISSNAN(df)    ((DFWORD(df, 0)&0x7e000000)==0x7e000000)
 324
 325   /* Shared lookup tables                                             */
 326   extern const uInt   DECCOMBMSD[64];   /* Combination field -> MSD   */
 327   extern const uInt   DECCOMBFROM[48];  /* exp+msd -> Combination     */
 328
 329   /* Private generic (utility) routine                                */
 330   #if DECCHECK || DECTRACE
 331     extern void decShowNum(const bcdnum *, const char *);
 332   #endif
 333
 334   /* Format-dependent macros and constants                            */
 335   #if defined(DECPMAX)
 336
 337     /* Useful constants                                               */
 338     #define DECPMAX9  (ROUNDUP(DECPMAX, 9)/9)  /* 'Pmax' in 10**9s    */
 339     /* Top words for a zero                                           */
 340     #define SINGLEZERO   0x22500000
 341     #define DOUBLEZERO   0x22380000
 342     #define QUADZERO     0x22080000
 343     /* [ZEROWORD is defined to be one of these in the DFISZERO macro] */
 344
 345     /* Format-dependent common tests:                                 */
 346     /*   DFISZERO   -- test for (any) zero                            */
 347     /*   DFISCCZERO -- test for coefficient continuation being zero   */
 348     /*   DFISCC01   -- test for coefficient contains only 0s and 1s   */
 349     /*   DFISINT    -- test for finite and exponent q=0               */
 350     /*   DFISUINT01 -- test for sign=0, finite, exponent q=0, and     */
 351     /*                 MSD=0 or 1                                     */
 352     /*   ZEROWORD is also defined here.                               */
 353     /* In DFISZERO the first test checks the least-significant word   */
 354     /* (most likely to be non-zero); the penultimate tests MSD and    */
 355     /* DPDs in the signword, and the final test excludes specials and */
 356     /* MSD>7.  DFISINT similarly has to allow for the two forms of    */
 357     /* MSD codes.  DFISUINT01 only has to allow for one form of MSD   */
 358     /* code.                                                          */
 359     #if DECPMAX==7
 360       #define ZEROWORD SINGLEZERO
 361       /* [test macros not needed except for Zero]                     */
 362       #define DFISZERO(df)  ((DFWORD(df, 0)&0x1c0fffff)==0         \
 363                           && (DFWORD(df, 0)&0x60000000)!=0x60000000)
 364     #elif DECPMAX==16
 365       #define ZEROWORD DOUBLEZERO
 366       #define DFISZERO(df)  ((DFWORD(df, 1)==0                     \
 367                           && (DFWORD(df, 0)&0x1c03ffff)==0         \
 368                           && (DFWORD(df, 0)&0x60000000)!=0x60000000))
 369       #define DFISINT(df) ((DFWORD(df, 0)&0x63fc0000)==0x22380000  \
 370                          ||(DFWORD(df, 0)&0x7bfc0000)==0x6a380000)
 371       #define DFISUINT01(df) ((DFWORD(df, 0)&0xfbfc0000)==0x22380000)
 372       #define DFISCCZERO(df) (DFWORD(df, 1)==0                     \
 373                           && (DFWORD(df, 0)&0x0003ffff)==0)
 374       #define DFISCC01(df)  ((DFWORD(df, 0)&~0xfffc9124)==0        \
 375                           && (DFWORD(df, 1)&~0x49124491)==0)
 376     #elif DECPMAX==34
 377       #define ZEROWORD QUADZERO
 378       #define DFISZERO(df)  ((DFWORD(df, 3)==0                     \
 379                           &&  DFWORD(df, 2)==0                     \
 380                           &&  DFWORD(df, 1)==0                     \
 381                           && (DFWORD(df, 0)&0x1c003fff)==0         \
 382                           && (DFWORD(df, 0)&0x60000000)!=0x60000000))
 383       #define DFISINT(df) ((DFWORD(df, 0)&0x63ffc000)==0x22080000  \
 384                          ||(DFWORD(df, 0)&0x7bffc000)==0x6a080000)
 385       #define DFISUINT01(df) ((DFWORD(df, 0)&0xfbffc000)==0x22080000)
 386       #define DFISCCZERO(df) (DFWORD(df, 3)==0                     \
 387                           &&  DFWORD(df, 2)==0                     \
 388                           &&  DFWORD(df, 1)==0                     \
 389                           && (DFWORD(df, 0)&0x00003fff)==0)
 390
 391       #define DFISCC01(df)   ((DFWORD(df, 0)&~0xffffc912)==0       \
 392                           &&  (DFWORD(df, 1)&~0x44912449)==0       \
 393                           &&  (DFWORD(df, 2)&~0x12449124)==0       \
 394                           &&  (DFWORD(df, 3)&~0x49124491)==0)
 395     #endif
 396
 397     /* Macros to test if a certain 10 bits of a uInt or pair of uInts */
 398     /* are a canonical declet [higher or lower bits are ignored].     */
 399     /* declet is at offset 0 (from the right) in a uInt:              */
 400     #define CANONDPD(dpd) (((dpd)&0x300)==0 || ((dpd)&0x6e)!=0x6e)
 401     /* declet is at offset k (a multiple of 2) in a uInt:             */
 402     #define CANONDPDOFF(dpd, k) (((dpd)&(0x300<<(k)))==0            \
 403       || ((dpd)&(((uInt)0x6e)<<(k)))!=(((uInt)0x6e)<<(k)))
 404     /* declet is at offset k (a multiple of 2) in a pair of uInts:    */
 405     /* [the top 2 bits will always be in the more-significant uInt]   */
 406     #define CANONDPDTWO(hi, lo, k) (((hi)&(0x300>>(32-(k))))==0     \
 407       || ((hi)&(0x6e>>(32-(k))))!=(0x6e>>(32-(k)))                  \
 408       || ((lo)&(((uInt)0x6e)<<(k)))!=(((uInt)0x6e)<<(k)))
 409
 410     /* Macro to test whether a full-length (length DECPMAX) BCD8      */
 411     /* coefficient is zero                                            */
 412     /* test just the LSWord first, then the remainder                 */
 413     #if DECPMAX==7
 414       #define ISCOEFFZERO(u) (UINTAT((u)+DECPMAX-4)==0              \
 415         && UINTAT((u)+DECPMAX-7)==0)
 416     #elif DECPMAX==16
 417       #define ISCOEFFZERO(u) (UINTAT((u)+DECPMAX-4)==0              \
 418         && (UINTAT((u)+DECPMAX-8)+UINTAT((u)+DECPMAX-12)            \
 419            +UINTAT((u)+DECPMAX-16))==0)
 420     #elif DECPMAX==34
 421       #define ISCOEFFZERO(u) (UINTAT((u)+DECPMAX-4)==0              \
 422         && (UINTAT((u)+DECPMAX-8) +UINTAT((u)+DECPMAX-12)           \
 423            +UINTAT((u)+DECPMAX-16)+UINTAT((u)+DECPMAX-20)           \
 424            +UINTAT((u)+DECPMAX-24)+UINTAT((u)+DECPMAX-28)           \
 425            +UINTAT((u)+DECPMAX-32)+USHORTAT((u)+DECPMAX-34))==0)
 426     #endif
 427
 428     /* Macros and masks for the exponent continuation field and MSD   */
 429     /* Get the exponent continuation from a decFloat *df as an Int    */
 430     #define GETECON(df) ((Int)((DFWORD((df), 0)&0x03ffffff)>>(32-6-DECECONL)))
 431     /* Ditto, from the next-wider format                              */
 432     #define GETWECON(df) ((Int)((DFWWORD((df), 0)&0x03ffffff)>>(32-6-DECWECONL)))
 433     /* Get the biased exponent similarly                              */
 434     #define GETEXP(df)  ((Int)(DECCOMBEXP[DFWORD((df), 0)>>26]+GETECON(df)))
 435     /* Get the unbiased exponent similarly                            */
 436     #define GETEXPUN(df) ((Int)GETEXP(df)-DECBIAS)
 437     /* Get the MSD similarly (as uInt)                                */
 438     #define GETMSD(df)   (DECCOMBMSD[DFWORD((df), 0)>>26])
 439
 440     /* Compile-time computes of the exponent continuation field masks */
 441     /* full exponent continuation field:                              */
 442     #define ECONMASK ((0x03ffffff>>(32-6-DECECONL))<<(32-6-DECECONL))
 443     /* same, not including its first digit (the qNaN/sNaN selector):  */
 444     #define ECONNANMASK ((0x01ffffff>>(32-6-DECECONL))<<(32-6-DECECONL))
 445
 446     /* Macros to decode the coefficient in a finite decFloat *df into */
 447     /* a BCD string (uByte *bcdin) of length DECPMAX uBytes           */
 448
 449     /* In-line sequence to convert 10 bits at right end of uInt dpd   */
 450     /* to three BCD8 digits starting at uByte u.  Note that an extra  */
 451     /* byte is written to the right of the three digits because this  */
 452     /* moves four at a time for speed; the alternative macro moves    */
 453     /* exactly three bytes                                            */
 454     #define dpd2bcd8(u, dpd) {                           \
 455       UINTAT(u)=UINTAT(&DPD2BCD8[((dpd)&0x3ff)*4]);}
 456
 457     #define dpd2bcd83(u, dpd) {                          \
 458       *(u)=DPD2BCD8[((dpd)&0x3ff)*4];                    \
 459       *(u+1)=DPD2BCD8[((dpd)&0x3ff)*4+1];                \
 460       *(u+2)=DPD2BCD8[((dpd)&0x3ff)*4+2];}
 461
 462     /* Decode the declets.  After extracting each one, it is decoded  */
 463     /* to BCD8 using a table lookup (also used for variable-length    */
 464     /* decode).  Each DPD decode is 3 bytes BCD8 plus a one-byte      */
 465     /* length which is not used, here).  Fixed-length 4-byte moves    */
 466     /* are fast, however, almost everywhere, and so are used except   */
 467     /* for the final three bytes (to avoid overrun).  The code below  */
 468     /* is 36 instructions for Doubles and about 70 for Quads, even    */
 469     /* on IA32.                                                       */
 470
 471     /* Two macros are defined for each format:                        */
 472     /*   GETCOEFF extracts the coefficient of the current format      */
 473     /*   GETWCOEFF extracts the coefficient of the next-wider format. */
 474     /* The latter is a copy of the next-wider GETCOEFF using DFWWORD. */
 475
 476     #if DECPMAX==7
 477     #define GETCOEFF(df, bcd) {                          \
 478       uInt sourhi=DFWORD(df, 0);                         \
 479       *(bcd)=(uByte)DECCOMBMSD[sourhi>>26];              \
 480       dpd2bcd8(bcd+1, sourhi>>10);                       \
 481       dpd2bcd83(bcd+4, sourhi);}
 482     #define GETWCOEFF(df, bcd) {                         \
 483       uInt sourhi=DFWWORD(df, 0);                        \
 484       uInt sourlo=DFWWORD(df, 1);                        \
 485       *(bcd)=(uByte)DECCOMBMSD[sourhi>>26];              \
 486       dpd2bcd8(bcd+1, sourhi>>8);                        \
 487       dpd2bcd8(bcd+4, (sourhi<<2) | (sourlo>>30));       \
 488       dpd2bcd8(bcd+7, sourlo>>20);                       \
 489       dpd2bcd8(bcd+10, sourlo>>10);                      \
 490       dpd2bcd83(bcd+13, sourlo);}
 491
 492     #elif DECPMAX==16
 493     #define GETCOEFF(df, bcd) {                          \
 494       uInt sourhi=DFWORD(df, 0);                         \
 495       uInt sourlo=DFWORD(df, 1);                         \
 496       *(bcd)=(uByte)DECCOMBMSD[sourhi>>26];              \
 497       dpd2bcd8(bcd+1, sourhi>>8);                        \
 498       dpd2bcd8(bcd+4, (sourhi<<2) | (sourlo>>30));       \
 499       dpd2bcd8(bcd+7, sourlo>>20);                       \
 500       dpd2bcd8(bcd+10, sourlo>>10);                      \
 501       dpd2bcd83(bcd+13, sourlo);}
 502     #define GETWCOEFF(df, bcd) {                         \
 503       uInt sourhi=DFWWORD(df, 0);                        \
 504       uInt sourmh=DFWWORD(df, 1);                        \
 505       uInt sourml=DFWWORD(df, 2);                        \
 506       uInt sourlo=DFWWORD(df, 3);                        \
 507       *(bcd)=(uByte)DECCOMBMSD[sourhi>>26];              \
 508       dpd2bcd8(bcd+1, sourhi>>4);                        \
 509       dpd2bcd8(bcd+4, ((sourhi)<<6) | (sourmh>>26));     \
 510       dpd2bcd8(bcd+7, sourmh>>16);                       \
 511       dpd2bcd8(bcd+10, sourmh>>6);                       \
 512       dpd2bcd8(bcd+13, ((sourmh)<<4) | (sourml>>28));    \
 513       dpd2bcd8(bcd+16, sourml>>18);                      \
 514       dpd2bcd8(bcd+19, sourml>>8);                       \
 515       dpd2bcd8(bcd+22, ((sourml)<<2) | (sourlo>>30));    \
 516       dpd2bcd8(bcd+25, sourlo>>20);                      \
 517       dpd2bcd8(bcd+28, sourlo>>10);                      \
 518       dpd2bcd83(bcd+31, sourlo);}
 519
 520     #elif DECPMAX==34
 521     #define GETCOEFF(df, bcd) {                          \
 522       uInt sourhi=DFWORD(df, 0);                         \
 523       uInt sourmh=DFWORD(df, 1);                         \
 524       uInt sourml=DFWORD(df, 2);                         \
 525       uInt sourlo=DFWORD(df, 3);                         \
 526       *(bcd)=(uByte)DECCOMBMSD[sourhi>>26];              \
 527       dpd2bcd8(bcd+1, sourhi>>4);                        \
 528       dpd2bcd8(bcd+4, ((sourhi)<<6) | (sourmh>>26));     \
 529       dpd2bcd8(bcd+7, sourmh>>16);                       \
 530       dpd2bcd8(bcd+10, sourmh>>6);                       \
 531       dpd2bcd8(bcd+13, ((sourmh)<<4) | (sourml>>28));    \
 532       dpd2bcd8(bcd+16, sourml>>18);                      \
 533       dpd2bcd8(bcd+19, sourml>>8);                       \
 534       dpd2bcd8(bcd+22, ((sourml)<<2) | (sourlo>>30));    \
 535       dpd2bcd8(bcd+25, sourlo>>20);                      \
 536       dpd2bcd8(bcd+28, sourlo>>10);                      \
 537       dpd2bcd83(bcd+31, sourlo);}
 538
 539       #define GETWCOEFF(df, bcd) {??} /* [should never be used]       */
 540     #endif
 541
 542     /* Macros to decode the coefficient in a finite decFloat *df into */
 543     /* a base-billion uInt array, with the least-significant          */
 544     /* 0-999999999 'digit' at offset 0.                               */
 545
 546     /* Decode the declets.  After extracting each one, it is decoded  */
 547     /* to binary using a table lookup.  Three tables are used; one    */
 548     /* the usual DPD to binary, the other two pre-multiplied by 1000  */
 549     /* and 1000000 to avoid multiplication during decode.  These      */
 550     /* tables can also be used for multiplying up the MSD as the DPD  */
 551     /* code for 0 through 9 is the identity.                          */
 552     #define DPD2BIN0 DPD2BIN         /* for prettier code             */
 553
 554     #if DECPMAX==7
 555     #define GETCOEFFBILL(df, buf) {                           \
 556       uInt sourhi=DFWORD(df, 0);                              \
 557       (buf)[0]=DPD2BIN0[sourhi&0x3ff]                         \
 558               +DPD2BINK[(sourhi>>10)&0x3ff]                   \
 559               +DPD2BINM[DECCOMBMSD[sourhi>>26]];}
 560
 561     #elif DECPMAX==16
 562     #define GETCOEFFBILL(df, buf) {                           \
 563       uInt sourhi, sourlo;                                    \
 564       sourlo=DFWORD(df, 1);                                   \
 565       (buf)[0]=DPD2BIN0[sourlo&0x3ff]                         \
 566               +DPD2BINK[(sourlo>>10)&0x3ff]                   \
 567               +DPD2BINM[(sourlo>>20)&0x3ff];                  \
 568       sourhi=DFWORD(df, 0);                                   \
 569       (buf)[1]=DPD2BIN0[((sourhi<<2) | (sourlo>>30))&0x3ff]   \
 570               +DPD2BINK[(sourhi>>8)&0x3ff]                    \
 571               +DPD2BINM[DECCOMBMSD[sourhi>>26]];}
 572
 573     #elif DECPMAX==34
 574     #define GETCOEFFBILL(df, buf) {                           \
 575       uInt sourhi, sourmh, sourml, sourlo;                    \
 576       sourlo=DFWORD(df, 3);                                   \
 577       (buf)[0]=DPD2BIN0[sourlo&0x3ff]                         \
 578               +DPD2BINK[(sourlo>>10)&0x3ff]                   \
 579               +DPD2BINM[(sourlo>>20)&0x3ff];                  \
 580       sourml=DFWORD(df, 2);                                   \
 581       (buf)[1]=DPD2BIN0[((sourml<<2) | (sourlo>>30))&0x3ff]   \
 582               +DPD2BINK[(sourml>>8)&0x3ff]                    \
 583               +DPD2BINM[(sourml>>18)&0x3ff];                  \
 584       sourmh=DFWORD(df, 1);                                   \
 585       (buf)[2]=DPD2BIN0[((sourmh<<4) | (sourml>>28))&0x3ff]   \
 586               +DPD2BINK[(sourmh>>6)&0x3ff]                    \
 587               +DPD2BINM[(sourmh>>16)&0x3ff];                  \
 588       sourhi=DFWORD(df, 0);                                   \
 589       (buf)[3]=DPD2BIN0[((sourhi<<6) | (sourmh>>26))&0x3ff]   \
 590               +DPD2BINK[(sourhi>>4)&0x3ff]                    \
 591               +DPD2BINM[DECCOMBMSD[sourhi>>26]];}
 592
 593     #endif
 594
 595     /* Macros to decode the coefficient in a finite decFloat *df into */
 596     /* a base-thousand uInt array, with the least-significant 0-999   */
 597     /* 'digit' at offset 0.                                           */
 598
 599     /* Decode the declets.  After extracting each one, it is decoded  */
 600     /* to binary using a table lookup.                                */
 601     #if DECPMAX==7
 602     #define GETCOEFFTHOU(df, buf) {                           \
 603       uInt sourhi=DFWORD(df, 0);                              \
 604       (buf)[0]=DPD2BIN[sourhi&0x3ff];                         \
 605       (buf)[1]=DPD2BIN[(sourhi>>10)&0x3ff];                   \
 606       (buf)[2]=DECCOMBMSD[sourhi>>26];}
 607
 608     #elif DECPMAX==16
 609     #define GETCOEFFTHOU(df, buf) {                           \
 610       uInt sourhi, sourlo;                                    \
 611       sourlo=DFWORD(df, 1);                                   \
 612       (buf)[0]=DPD2BIN[sourlo&0x3ff];                         \
 613       (buf)[1]=DPD2BIN[(sourlo>>10)&0x3ff];                   \
 614       (buf)[2]=DPD2BIN[(sourlo>>20)&0x3ff];                   \
 615       sourhi=DFWORD(df, 0);                                   \
 616       (buf)[3]=DPD2BIN[((sourhi<<2) | (sourlo>>30))&0x3ff];   \
 617       (buf)[4]=DPD2BIN[(sourhi>>8)&0x3ff];                    \
 618       (buf)[5]=DECCOMBMSD[sourhi>>26];}
 619
 620     #elif DECPMAX==34
 621     #define GETCOEFFTHOU(df, buf) {                           \
 622       uInt sourhi, sourmh, sourml, sourlo;                    \
 623       sourlo=DFWORD(df, 3);                                   \
 624       (buf)[0]=DPD2BIN[sourlo&0x3ff];                         \
 625       (buf)[1]=DPD2BIN[(sourlo>>10)&0x3ff];                   \
 626       (buf)[2]=DPD2BIN[(sourlo>>20)&0x3ff];                   \
 627       sourml=DFWORD(df, 2);                                   \
 628       (buf)[3]=DPD2BIN[((sourml<<2) | (sourlo>>30))&0x3ff];   \
 629       (buf)[4]=DPD2BIN[(sourml>>8)&0x3ff];                    \
 630       (buf)[5]=DPD2BIN[(sourml>>18)&0x3ff];                   \
 631       sourmh=DFWORD(df, 1);                                   \
 632       (buf)[6]=DPD2BIN[((sourmh<<4) | (sourml>>28))&0x3ff];   \
 633       (buf)[7]=DPD2BIN[(sourmh>>6)&0x3ff];                    \
 634       (buf)[8]=DPD2BIN[(sourmh>>16)&0x3ff];                   \
 635       sourhi=DFWORD(df, 0);                                   \
 636       (buf)[9]=DPD2BIN[((sourhi<<6) | (sourmh>>26))&0x3ff];   \
 637       (buf)[10]=DPD2BIN[(sourhi>>4)&0x3ff];                   \
 638       (buf)[11]=DECCOMBMSD[sourhi>>26];}
 639
 640     #endif
 641
 642     /* Set a decFloat to the maximum positive finite number (Nmax)    */
 643     #if DECPMAX==7
 644     #define DFSETNMAX(df)            \
 645       {DFWORD(df, 0)=0x77f3fcff;}
 646     #elif DECPMAX==16
 647     #define DFSETNMAX(df)            \
 648       {DFWORD(df, 0)=0x77fcff3f;     \
 649        DFWORD(df, 1)=0xcff3fcff;}
 650     #elif DECPMAX==34
 651     #define DFSETNMAX(df)            \
 652       {DFWORD(df, 0)=0x77ffcff3;     \
 653        DFWORD(df, 1)=0xfcff3fcf;     \
 654        DFWORD(df, 2)=0xf3fcff3f;     \
 655        DFWORD(df, 3)=0xcff3fcff;}
 656     #endif
 657
 658   /* [end of format-dependent macros and constants]                   */
 659   #endif
 660
 661 #else
 662   #error decNumberLocal included more than once
 663 #endif