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