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decNumberLocal.h

/* Local definitions for the decNumber C Library.
   Copyright (C) 2007, 2009 Free Software Foundation, Inc.
   Contributed by IBM Corporation.  Author Mike Cowlishaw.

   This file is part of GCC.

   GCC is free software; you can redistribute it and/or modify it under
   the terms of the GNU General Public License as published by the Free
   Software Foundation; either version 3, or (at your option) any later
   version.

   GCC is distributed in the hope that it will be useful, but WITHOUT ANY
   WARRANTY; without even the implied warranty of MERCHANTABILITY or
   FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
   for more details.

Under Section 7 of GPL version 3, you are granted additional
permissions described in the GCC Runtime Library Exception, version
3.1, as published by the Free Software Foundation.

You should have received a copy of the GNU General Public License and
a copy of the GCC Runtime Library Exception along with this program;
see the files COPYING3 and COPYING.RUNTIME respectively.  If not, see
<http://www.gnu.org/licenses/>.  */

/* ------------------------------------------------------------------ */
/* decNumber package local type, tuning, and macro definitions          */
/* ------------------------------------------------------------------ */
/* This header file is included by all modules in the decNumber         */
/* library, and contains local type definitions, tuning parameters,   */
/* etc.      It should not need to be used by application programs.           */
/* decNumber.h or one of decDouble (etc.) must be included first.     */
/* ------------------------------------------------------------------ */

#if !defined(DECNUMBERLOC)
  #define DECNUMBERLOC
  #define DECVERSION    "decNumber 3.53" /* Package Version [16 max.] */
  #define DECNLAUTHOR   "Mike Cowlishaw"        /* Who to blame */

  #include <stdlib.h>         /* for abs                    */
  #include <string.h>         /* for memset, strcpy               */
  #include "dconfig.h"        /* for WORDS_BIGENDIAN                  */

  /* Conditional code flag -- set this to match hardware platform     */
  /* 1=little-endian, 0=big-endian                                */
  #if WORDS_BIGENDIAN
  #define DECLITEND 0
  #else
  #define DECLITEND 1
  #endif

  /* Conditional code flag -- set this to 1 for best performance      */
  #define DECUSE64  1         /* 1=use int64s, 0=int32 & smaller only */

  /* Conditional check flags -- set these to 0 for best performance   */
  #define DECCHECK  0         /* 1 to enable robust checking            */
  #define DECALLOC  0         /* 1 to enable memory accounting          */
  #define DECTRACE  0         /* 1 to trace certain internals, etc.   */

  /* Tuning parameter for decNumber (arbitrary precision) module      */
  #define DECBUFFER 36        /* Size basis for local buffers.    This  */
                        /* should be a common maximum precision */
                        /* rounded up to a multiple of 4; must  */
                        /* be zero or positive.             */

  /* ---------------------------------------------------------------- */
  /* Definitions for all modules (general-purpose)                */
  /* ---------------------------------------------------------------- */

  /* Local names for common types -- for safety, decNumber modules do */
  /* not use int or long directly.                          */
  #define Flag     uint8_t
  #define Byte     int8_t
  #define uByte    uint8_t
  #define Short    int16_t
  #define uShort uint16_t
  #define Int      int32_t
  #define uInt     uint32_t
  #define Unit     decNumberUnit
  #if DECUSE64
  #define Long     int64_t
  #define uLong    uint64_t
  #endif

  /* Development-use definitions                            */
  typedef long int LI;        /* for printf arguments only        */
  #define DECNOINT  0         /* 1 to check no internal use of 'int'  */
  #if DECNOINT
    /* if these interfere with your C includes, do not set DECNOINT   */
    #define  int ?            /* enable to ensure that plain C 'int'  */
    #define  long ??          /* .. or 'long' types are not used      */
  #endif

  /* Shared lookup tables                                   */
  extern const uByte  DECSTICKYTAB[10]; /* re-round digits if sticky  */
  extern const uInt   DECPOWERS[10];      /* powers of ten table        */
  /* The following are included from decDPD.h                     */
#include "decDPDSymbols.h"
  extern const uShort DPD2BIN[1024];      /* DPD -> 0-999               */
  extern const uShort BIN2DPD[1000];      /* 0-999 -> DPD               */
  extern const uInt   DPD2BINK[1024];     /* DPD -> 0-999000            */
  extern const uInt   DPD2BINM[1024];     /* DPD -> 0-999000000         */
  extern const uByte  DPD2BCD8[4096];     /* DPD -> ddd + len           */
  extern const uByte  BIN2BCD8[4000];     /* 0-999 -> ddd + len         */
  extern const uShort BCD2DPD[2458];      /* 0-0x999 -> DPD (0x999=2457)*/

  /* LONGMUL32HI -- set w=(u*v)>>32, where w, u, and v are uInts      */
  /* (that is, sets w to be the high-order word of the 64-bit result; */
  /* the low-order word is simply u*v.)                           */
  /* This version is derived from Knuth via Hacker's Delight;           */
  /* it seems to optimize better than some others tried                 */
  #define LONGMUL32HI(w, u, v) {         \
    uInt u0, u1, v0, v1, w0, w1, w2, t;        \
    u0=u & 0xffff; u1=u>>16;             \
    v0=v & 0xffff; v1=v>>16;             \
    w0=u0*v0;                            \
    t=u1*v0 + (w0>>16);                  \
    w1=t & 0xffff; w2=t>>16;             \
    w1=u0*v1 + w1;                       \
    (w)=u1*v1 + w2 + (w1>>16);}

  /* ROUNDUP -- round an integer up to a multiple of n                  */
  #define ROUNDUP(i, n) ((((i)+(n)-1)/n)*n)

  /* ROUNDDOWN -- round an integer down to a multiple of n        */
  #define ROUNDDOWN(i, n) (((i)/n)*n)
  #define ROUNDDOWN4(i)   ((i)&~3)  /* special for n=4            */

  /* References to multi-byte sequences under different sizes           */
  /* Refer to a uInt from four bytes starting at a char* or uByte*,   */
  /* etc.                                             */
  #define UINTAT(b)   (*((uInt       *)(b)))
  #define USHORTAT(b) (*((uShort *)(b)))
  #define UBYTEAT(b)  (*((uByte      *)(b)))

  /* X10 and X100 -- multiply integer i by 10 or 100              */
  /* [shifts are usually faster than multiply; could be conditional]  */
  #define X10(i)  (((i)<<1)+((i)<<3))
  #define X100(i) (((i)<<2)+((i)<<5)+((i)<<6))

  /* MAXI and MINI -- general max & min (not in ANSI) for integers    */
  #define MAXI(x,y) ((x)<(y)?(y):(x))
  #define MINI(x,y) ((x)>(y)?(y):(x))

  /* Useful constants                                       */
  #define BILLION      1000000000        /* 10**9                 */
  /* CHARMASK: 0x30303030 for ASCII/UTF8; 0xF0F0F0F0 for EBCDIC         */
  #define CHARMASK ((((((((uInt)'0')<<8)+'0')<<8)+'0')<<8)+'0')


  /* ---------------------------------------------------------------- */
  /* Definitions for arbitary-precision modules (only valid after     */
  /* decNumber.h has been included)                         */
  /* ---------------------------------------------------------------- */

  /* Limits and constants                                   */
  #define DECNUMMAXP 999999999      /* maximum precision code can handle  */
  #define DECNUMMAXE 999999999      /* maximum adjusted exponent ditto    */
  #define DECNUMMINE -999999999 /* minimum adjusted exponent ditto    */
  #if (DECNUMMAXP != DEC_MAX_DIGITS)
    #error Maximum digits mismatch
  #endif
  #if (DECNUMMAXE != DEC_MAX_EMAX)
    #error Maximum exponent mismatch
  #endif
  #if (DECNUMMINE != DEC_MIN_EMIN)
    #error Minimum exponent mismatch
  #endif

  /* Set DECDPUNMAX -- the maximum integer that fits in DECDPUN         */
  /* digits, and D2UTABLE -- the initializer for the D2U table          */
  #if DECDPUN==1
    #define DECDPUNMAX 9
    #define D2UTABLE {0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,  \
                  18,19,20,21,22,23,24,25,26,27,28,29,30,31,32, \
                  33,34,35,36,37,38,39,40,41,42,43,44,45,46,47, \
                  48,49}
  #elif DECDPUN==2
    #define DECDPUNMAX 99
    #define D2UTABLE {0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,  \
                  11,11,12,12,13,13,14,14,15,15,16,16,17,17,18, \
                  18,19,19,20,20,21,21,22,22,23,23,24,24,25}
  #elif DECDPUN==3
    #define DECDPUNMAX 999
    #define D2UTABLE {0,1,1,1,2,2,2,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,  \
                  8,8,8,9,9,9,10,10,10,11,11,11,12,12,12,13,13, \
                  13,14,14,14,15,15,15,16,16,16,17}
  #elif DECDPUN==4
    #define DECDPUNMAX 9999
    #define D2UTABLE {0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,5,5,5,5,6,  \
                  6,6,6,7,7,7,7,8,8,8,8,9,9,9,9,10,10,10,10,11, \
                  11,11,11,12,12,12,12,13}
  #elif DECDPUN==5
    #define DECDPUNMAX 99999
    #define D2UTABLE {0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,5,  \
                  5,5,5,5,6,6,6,6,6,7,7,7,7,7,8,8,8,8,8,9,9,9,  \
                  9,9,10,10,10,10}
  #elif DECDPUN==6
    #define DECDPUNMAX 999999
    #define D2UTABLE {0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,  \
                  4,4,4,5,5,5,5,5,5,6,6,6,6,6,6,7,7,7,7,7,7,8,  \
                  8,8,8,8,8,9}
  #elif DECDPUN==7
    #define DECDPUNMAX 9999999
    #define D2UTABLE {0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,  \
                  4,4,4,4,4,4,4,5,5,5,5,5,5,5,6,6,6,6,6,6,6,7,  \
                  7,7,7,7,7,7}
  #elif DECDPUN==8
    #define DECDPUNMAX 99999999
    #define D2UTABLE {0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,  \
                  3,3,3,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,6,6,6,  \
                  6,6,6,6,6,7}
  #elif DECDPUN==9
    #define DECDPUNMAX 999999999
    #define D2UTABLE {0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,  \
                  3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,  \
                  5,5,6,6,6,6}
  #elif defined(DECDPUN)
    #error DECDPUN must be in the range 1-9
  #endif

  /* ----- Shared data (in decNumber.c) ----- */
  /* Public lookup table used by the D2U macro (see below)        */
  #define DECMAXD2U 49
  extern const uByte d2utable[DECMAXD2U+1];

  /* ----- Macros ----- */
  /* ISZERO -- return true if decNumber dn is a zero              */
  /* [performance-critical in some situations]                    */
  #define ISZERO(dn) decNumberIsZero(dn)     /* now just a local name */

  /* D2U -- return the number of Units needed to hold d digits          */
  /* (runtime version, with table lookaside for small d)          */
  #if DECDPUN==8
    #define D2U(d) ((unsigned)((d)<=DECMAXD2U?d2utable[d]:((d)+7)>>3))
  #elif DECDPUN==4
    #define D2U(d) ((unsigned)((d)<=DECMAXD2U?d2utable[d]:((d)+3)>>2))
  #else
    #define D2U(d) ((d)<=DECMAXD2U?d2utable[d]:((d)+DECDPUN-1)/DECDPUN)
  #endif
  /* SD2U -- static D2U macro (for compile-time calculation)            */
  #define SD2U(d) (((d)+DECDPUN-1)/DECDPUN)

  /* MSUDIGITS -- returns digits in msu, from digits, calculated      */
  /* using D2U                                              */
  #define MSUDIGITS(d) ((d)-(D2U(d)-1)*DECDPUN)

  /* D2N -- return the number of decNumber structs that would be      */
  /* needed to contain that number of digits (and the initial           */
  /* decNumber struct) safely.      Note that one Unit is included in the */
  /* initial structure.  Used for allocating space that is aligned on */
  /* a decNumber struct boundary. */
  #define D2N(d) \
    ((((SD2U(d)-1)*sizeof(Unit))+sizeof(decNumber)*2-1)/sizeof(decNumber))

  /* TODIGIT -- macro to remove the leading digit from the unsigned   */
  /* integer u at column cut (counting from the right, LSD=0) and     */
  /* place it as an ASCII character into the character pointed to by  */
  /* c.      Note that cut must be <= 9, and the maximum value for u is   */
  /* 2,000,000,000 (as is needed for negative exponents of        */
  /* subnormals).  The unsigned integer pow is used as a temporary    */
  /* variable. */
  #define TODIGIT(u, cut, c, pow) {   \
    *(c)='0';                         \
    pow=DECPOWERS[cut]*2;             \
    if ((u)>pow) {                    \
      pow*=4;                         \
      if ((u)>=pow) {(u)-=pow; *(c)+=8;}  \
      pow/=2;                         \
      if ((u)>=pow) {(u)-=pow; *(c)+=4;}  \
      pow/=2;                         \
      }                               \
    if ((u)>=pow) {(u)-=pow; *(c)+=2;}      \
    pow/=2;                     \
    if ((u)>=pow) {(u)-=pow; *(c)+=1;}      \
    }

  /* ---------------------------------------------------------------- */
  /* Definitions for fixed-precision modules (only valid after          */
  /* decSingle.h, decDouble.h, or decQuad.h has been included)          */
  /* ---------------------------------------------------------------- */

  /* bcdnum -- a structure describing a format-independent finite     */
  /* number, whose coefficient is a string of bcd8 uBytes         */
00285   typedef struct {
    uByte   *msd;       /* -> most significant digit        */
    uByte   *lsd;       /* -> least ditto                   */
    uInt     sign;            /* 0=positive, DECFLOAT_Sign=negative   */
    Int          exponent;          /* Unadjusted signed exponent (q), or   */
                        /* DECFLOAT_NaN etc. for a special      */
    } bcdnum;

  /* Test if exponent or bcdnum exponent must be a special, etc.      */
  #define EXPISSPECIAL(exp) ((exp)>=DECFLOAT_MinSp)
  #define EXPISINF(exp) (exp==DECFLOAT_Inf)
  #define EXPISNAN(exp) (exp==DECFLOAT_qNaN || exp==DECFLOAT_sNaN)
  #define NUMISSPECIAL(num) (EXPISSPECIAL((num)->exponent))

  /* Refer to a 32-bit word or byte in a decFloat (df) by big-endian  */
  /* (array) notation (the 0 word or byte contains the sign bit),     */
  /* automatically adjusting for endianness; similarly address a word */
  /* in the next-wider format (decFloatWider, or dfw)             */
  #define DECWORDS  (DECBYTES/4)
  #define DECWWORDS (DECWBYTES/4)
  #if DECLITEND
    #define DFWORD(df, off) ((df)->words[DECWORDS-1-(off)])
    #define DFBYTE(df, off) ((df)->bytes[DECBYTES-1-(off)])
    #define DFWWORD(dfw, off) ((dfw)->words[DECWWORDS-1-(off)])
  #else
    #define DFWORD(df, off) ((df)->words[off])
    #define DFBYTE(df, off) ((df)->bytes[off])
    #define DFWWORD(dfw, off) ((dfw)->words[off])
  #endif

  /* Tests for sign or specials, directly on DECFLOATs                  */
  #define DFISSIGNED(df)   (DFWORD(df, 0)&0x80000000)
  #define DFISSPECIAL(df) ((DFWORD(df, 0)&0x78000000)==0x78000000)
  #define DFISINF(df)     ((DFWORD(df, 0)&0x7c000000)==0x78000000)
  #define DFISNAN(df)     ((DFWORD(df, 0)&0x7c000000)==0x7c000000)
  #define DFISQNAN(df)    ((DFWORD(df, 0)&0x7e000000)==0x7c000000)
  #define DFISSNAN(df)    ((DFWORD(df, 0)&0x7e000000)==0x7e000000)

  /* Shared lookup tables                                   */
#include "decCommonSymbols.h"
  extern const uInt   DECCOMBMSD[64];     /* Combination field -> MSD   */
  extern const uInt   DECCOMBFROM[48];    /* exp+msd -> Combination     */

  /* Private generic (utility) routine                            */
  #if DECCHECK || DECTRACE
    extern void decShowNum(const bcdnum *, const char *);
  #endif

  /* Format-dependent macros and constants                        */
  #if defined(DECPMAX)

    /* Useful constants                                     */
    #define DECPMAX9  (ROUNDUP(DECPMAX, 9)/9)  /* 'Pmax' in 10**9s    */
    /* Top words for a zero                                 */
    #define SINGLEZERO   0x22500000
    #define DOUBLEZERO   0x22380000
    #define QUADZERO     0x22080000
    /* [ZEROWORD is defined to be one of these in the DFISZERO macro] */

    /* Format-dependent common tests:                             */
    /*       DFISZERO   -- test for (any) zero                    */
    /*       DFISCCZERO -- test for coefficient continuation being zero   */
    /*       DFISCC01   -- test for coefficient contains only 0s and 1s   */
    /*       DFISINT    -- test for finite and exponent q=0             */
    /*       DFISUINT01 -- test for sign=0, finite, exponent q=0, and     */
    /*                   MSD=0 or 1                         */
    /*       ZEROWORD is also defined here.                             */
    /* In DFISZERO the first test checks the least-significant word   */
    /* (most likely to be non-zero); the penultimate tests MSD and    */
    /* DPDs in the signword, and the final test excludes specials and */
    /* MSD>7.  DFISINT similarly has to allow for the two forms of    */
    /* MSD codes.  DFISUINT01 only has to allow for one form of MSD   */
    /* code.                                                */
    #if DECPMAX==7
      #define ZEROWORD SINGLEZERO
      /* [test macros not needed except for Zero]                 */
      #define DFISZERO(df)  ((DFWORD(df, 0)&0x1c0fffff)==0     \
                    && (DFWORD(df, 0)&0x60000000)!=0x60000000)
    #elif DECPMAX==16
      #define ZEROWORD DOUBLEZERO
      #define DFISZERO(df)  ((DFWORD(df, 1)==0                 \
                    && (DFWORD(df, 0)&0x1c03ffff)==0     \
                    && (DFWORD(df, 0)&0x60000000)!=0x60000000))
      #define DFISINT(df) ((DFWORD(df, 0)&0x63fc0000)==0x22380000  \
                   ||(DFWORD(df, 0)&0x7bfc0000)==0x6a380000)
      #define DFISUINT01(df) ((DFWORD(df, 0)&0xfbfc0000)==0x22380000)
      #define DFISCCZERO(df) (DFWORD(df, 1)==0                 \
                    && (DFWORD(df, 0)&0x0003ffff)==0)
      #define DFISCC01(df)  ((DFWORD(df, 0)&~0xfffc9124)==0    \
                    && (DFWORD(df, 1)&~0x49124491)==0)
    #elif DECPMAX==34
      #define ZEROWORD QUADZERO
      #define DFISZERO(df)  ((DFWORD(df, 3)==0                 \
                    &&  DFWORD(df, 2)==0                 \
                    &&  DFWORD(df, 1)==0                 \
                    && (DFWORD(df, 0)&0x1c003fff)==0     \
                    && (DFWORD(df, 0)&0x60000000)!=0x60000000))
      #define DFISINT(df) ((DFWORD(df, 0)&0x63ffc000)==0x22080000  \
                   ||(DFWORD(df, 0)&0x7bffc000)==0x6a080000)
      #define DFISUINT01(df) ((DFWORD(df, 0)&0xfbffc000)==0x22080000)
      #define DFISCCZERO(df) (DFWORD(df, 3)==0                 \
                    &&  DFWORD(df, 2)==0                 \
                    &&  DFWORD(df, 1)==0                 \
                    && (DFWORD(df, 0)&0x00003fff)==0)

      #define DFISCC01(df)   ((DFWORD(df, 0)&~0xffffc912)==0         \
                    &&  (DFWORD(df, 1)&~0x44912449)==0         \
                    &&  (DFWORD(df, 2)&~0x12449124)==0         \
                    &&  (DFWORD(df, 3)&~0x49124491)==0)
    #endif

    /* Macros to test if a certain 10 bits of a uInt or pair of uInts */
    /* are a canonical declet [higher or lower bits are ignored].     */
    /* declet is at offset 0 (from the right) in a uInt:          */
    #define CANONDPD(dpd) (((dpd)&0x300)==0 || ((dpd)&0x6e)!=0x6e)
    /* declet is at offset k (a multiple of 2) in a uInt:         */
    #define CANONDPDOFF(dpd, k) (((dpd)&(0x300<<(k)))==0        \
      || ((dpd)&(((uInt)0x6e)<<(k)))!=(((uInt)0x6e)<<(k)))
    /* declet is at offset k (a multiple of 2) in a pair of uInts:    */
    /* [the top 2 bits will always be in the more-significant uInt]   */
    #define CANONDPDTWO(hi, lo, k) (((hi)&(0x300>>(32-(k))))==0       \
      || ((hi)&(0x6e>>(32-(k))))!=(0x6e>>(32-(k)))              \
      || ((lo)&(((uInt)0x6e)<<(k)))!=(((uInt)0x6e)<<(k)))

    /* Macro to test whether a full-length (length DECPMAX) BCD8      */
    /* coefficient is zero                                  */
    /* test just the LSWord first, then the remainder             */
    #if DECPMAX==7
      #define ISCOEFFZERO(u) (UINTAT((u)+DECPMAX-4)==0                \
      && UINTAT((u)+DECPMAX-7)==0)
    #elif DECPMAX==16
      #define ISCOEFFZERO(u) (UINTAT((u)+DECPMAX-4)==0                \
      && (UINTAT((u)+DECPMAX-8)+UINTAT((u)+DECPMAX-12)          \
         +UINTAT((u)+DECPMAX-16))==0)
    #elif DECPMAX==34
      #define ISCOEFFZERO(u) (UINTAT((u)+DECPMAX-4)==0                \
      && (UINTAT((u)+DECPMAX-8) +UINTAT((u)+DECPMAX-12)         \
         +UINTAT((u)+DECPMAX-16)+UINTAT((u)+DECPMAX-20)         \
         +UINTAT((u)+DECPMAX-24)+UINTAT((u)+DECPMAX-28)         \
         +UINTAT((u)+DECPMAX-32)+USHORTAT((u)+DECPMAX-34))==0)
    #endif

    /* Macros and masks for the exponent continuation field and MSD   */
    /* Get the exponent continuation from a decFloat *df as an Int    */
    #define GETECON(df) ((Int)((DFWORD((df), 0)&0x03ffffff)>>(32-6-DECECONL)))
    /* Ditto, from the next-wider format                    */
    #define GETWECON(df) ((Int)((DFWWORD((df), 0)&0x03ffffff)>>(32-6-DECWECONL)))
    /* Get the biased exponent similarly                    */
    #define GETEXP(df)  ((Int)(DECCOMBEXP[DFWORD((df), 0)>>26]+GETECON(df)))
    /* Get the unbiased exponent similarly                        */
    #define GETEXPUN(df) ((Int)GETEXP(df)-DECBIAS)
    /* Get the MSD similarly (as uInt)                            */
    #define GETMSD(df)   (DECCOMBMSD[DFWORD((df), 0)>>26])

    /* Compile-time computes of the exponent continuation field masks */
    /* full exponent continuation field:                    */
    #define ECONMASK ((0x03ffffff>>(32-6-DECECONL))<<(32-6-DECECONL))
    /* same, not including its first digit (the qNaN/sNaN selector):  */
    #define ECONNANMASK ((0x01ffffff>>(32-6-DECECONL))<<(32-6-DECECONL))

    /* Macros to decode the coefficient in a finite decFloat *df into */
    /* a BCD string (uByte *bcdin) of length DECPMAX uBytes       */

    /* In-line sequence to convert 10 bits at right end of uInt dpd   */
    /* to three BCD8 digits starting at uByte u.  Note that an extra  */
    /* byte is written to the right of the three digits because this  */
    /* moves four at a time for speed; the alternative macro moves    */
    /* exactly three bytes                                  */
    #define dpd2bcd8(u, dpd) {                         \
      UINTAT(u)=UINTAT(&DPD2BCD8[((dpd)&0x3ff)*4]);}

    #define dpd2bcd83(u, dpd) {                        \
      *(u)=DPD2BCD8[((dpd)&0x3ff)*4];                  \
      *(u+1)=DPD2BCD8[((dpd)&0x3ff)*4+1];        \
      *(u+2)=DPD2BCD8[((dpd)&0x3ff)*4+2];}

    /* Decode the declets.  After extracting each one, it is decoded  */
    /* to BCD8 using a table lookup (also used for variable-length    */
    /* decode).    Each DPD decode is 3 bytes BCD8 plus a one-byte      */
    /* length which is not used, here).    Fixed-length 4-byte moves    */
    /* are fast, however, almost everywhere, and so are used except   */
    /* for the final three bytes (to avoid overrun).  The code below  */
    /* is 36 instructions for Doubles and about 70 for Quads, even    */
    /* on IA32.                                             */

    /* Two macros are defined for each format:                    */
    /*       GETCOEFF extracts the coefficient of the current format      */
    /*       GETWCOEFF extracts the coefficient of the next-wider format. */
    /* The latter is a copy of the next-wider GETCOEFF using DFWWORD. */

    #if DECPMAX==7
    #define GETCOEFF(df, bcd) {                        \
      uInt sourhi=DFWORD(df, 0);                 \
      *(bcd)=(uByte)DECCOMBMSD[sourhi>>26];            \
      dpd2bcd8(bcd+1, sourhi>>10);               \
      dpd2bcd83(bcd+4, sourhi);}
    #define GETWCOEFF(df, bcd) {                 \
      uInt sourhi=DFWWORD(df, 0);                \
      uInt sourlo=DFWWORD(df, 1);                \
      *(bcd)=(uByte)DECCOMBMSD[sourhi>>26];            \
      dpd2bcd8(bcd+1, sourhi>>8);                \
      dpd2bcd8(bcd+4, (sourhi<<2) | (sourlo>>30));     \
      dpd2bcd8(bcd+7, sourlo>>20);               \
      dpd2bcd8(bcd+10, sourlo>>10);              \
      dpd2bcd83(bcd+13, sourlo);}

    #elif DECPMAX==16
    #define GETCOEFF(df, bcd) {                        \
      uInt sourhi=DFWORD(df, 0);                 \
      uInt sourlo=DFWORD(df, 1);                 \
      *(bcd)=(uByte)DECCOMBMSD[sourhi>>26];            \
      dpd2bcd8(bcd+1, sourhi>>8);                \
      dpd2bcd8(bcd+4, (sourhi<<2) | (sourlo>>30));     \
      dpd2bcd8(bcd+7, sourlo>>20);               \
      dpd2bcd8(bcd+10, sourlo>>10);              \
      dpd2bcd83(bcd+13, sourlo);}
    #define GETWCOEFF(df, bcd) {                 \
      uInt sourhi=DFWWORD(df, 0);                \
      uInt sourmh=DFWWORD(df, 1);                \
      uInt sourml=DFWWORD(df, 2);                \
      uInt sourlo=DFWWORD(df, 3);                \
      *(bcd)=(uByte)DECCOMBMSD[sourhi>>26];            \
      dpd2bcd8(bcd+1, sourhi>>4);                \
      dpd2bcd8(bcd+4, ((sourhi)<<6) | (sourmh>>26));   \
      dpd2bcd8(bcd+7, sourmh>>16);               \
      dpd2bcd8(bcd+10, sourmh>>6);               \
      dpd2bcd8(bcd+13, ((sourmh)<<4) | (sourml>>28));  \
      dpd2bcd8(bcd+16, sourml>>18);              \
      dpd2bcd8(bcd+19, sourml>>8);               \
      dpd2bcd8(bcd+22, ((sourml)<<2) | (sourlo>>30));  \
      dpd2bcd8(bcd+25, sourlo>>20);              \
      dpd2bcd8(bcd+28, sourlo>>10);              \
      dpd2bcd83(bcd+31, sourlo);}

    #elif DECPMAX==34
    #define GETCOEFF(df, bcd) {                        \
      uInt sourhi=DFWORD(df, 0);                 \
      uInt sourmh=DFWORD(df, 1);                 \
      uInt sourml=DFWORD(df, 2);                 \
      uInt sourlo=DFWORD(df, 3);                 \
      *(bcd)=(uByte)DECCOMBMSD[sourhi>>26];            \
      dpd2bcd8(bcd+1, sourhi>>4);                \
      dpd2bcd8(bcd+4, ((sourhi)<<6) | (sourmh>>26));   \
      dpd2bcd8(bcd+7, sourmh>>16);               \
      dpd2bcd8(bcd+10, sourmh>>6);               \
      dpd2bcd8(bcd+13, ((sourmh)<<4) | (sourml>>28));  \
      dpd2bcd8(bcd+16, sourml>>18);              \
      dpd2bcd8(bcd+19, sourml>>8);               \
      dpd2bcd8(bcd+22, ((sourml)<<2) | (sourlo>>30));  \
      dpd2bcd8(bcd+25, sourlo>>20);              \
      dpd2bcd8(bcd+28, sourlo>>10);              \
      dpd2bcd83(bcd+31, sourlo);}

      #define GETWCOEFF(df, bcd) {??} /* [should never be used]         */
    #endif

    /* Macros to decode the coefficient in a finite decFloat *df into */
    /* a base-billion uInt array, with the least-significant            */
    /* 0-999999999 'digit' at offset 0.                           */

    /* Decode the declets.  After extracting each one, it is decoded  */
    /* to binary using a table lookup.    Three tables are used; one    */
    /* the usual DPD to binary, the other two pre-multiplied by 1000  */
    /* and 1000000 to avoid multiplication during decode.  These      */
    /* tables can also be used for multiplying up the MSD as the DPD  */
    /* code for 0 through 9 is the identity.                      */
    #define DPD2BIN0 DPD2BIN       /* for prettier code           */

    #if DECPMAX==7
    #define GETCOEFFBILL(df, buf) {                   \
      uInt sourhi=DFWORD(df, 0);                      \
      (buf)[0]=DPD2BIN0[sourhi&0x3ff]                       \
            +DPD2BINK[(sourhi>>10)&0x3ff]             \
            +DPD2BINM[DECCOMBMSD[sourhi>>26]];}

    #elif DECPMAX==16
    #define GETCOEFFBILL(df, buf) {                   \
      uInt sourhi, sourlo;                            \
      sourlo=DFWORD(df, 1);                           \
      (buf)[0]=DPD2BIN0[sourlo&0x3ff]                       \
            +DPD2BINK[(sourlo>>10)&0x3ff]             \
            +DPD2BINM[(sourlo>>20)&0x3ff];                  \
      sourhi=DFWORD(df, 0);                           \
      (buf)[1]=DPD2BIN0[((sourhi<<2) | (sourlo>>30))&0x3ff]   \
            +DPD2BINK[(sourhi>>8)&0x3ff]              \
            +DPD2BINM[DECCOMBMSD[sourhi>>26]];}

    #elif DECPMAX==34
    #define GETCOEFFBILL(df, buf) {                   \
      uInt sourhi, sourmh, sourml, sourlo;                  \
      sourlo=DFWORD(df, 3);                           \
      (buf)[0]=DPD2BIN0[sourlo&0x3ff]                       \
            +DPD2BINK[(sourlo>>10)&0x3ff]             \
            +DPD2BINM[(sourlo>>20)&0x3ff];                  \
      sourml=DFWORD(df, 2);                           \
      (buf)[1]=DPD2BIN0[((sourml<<2) | (sourlo>>30))&0x3ff]   \
            +DPD2BINK[(sourml>>8)&0x3ff]              \
            +DPD2BINM[(sourml>>18)&0x3ff];                  \
      sourmh=DFWORD(df, 1);                           \
      (buf)[2]=DPD2BIN0[((sourmh<<4) | (sourml>>28))&0x3ff]   \
            +DPD2BINK[(sourmh>>6)&0x3ff]              \
            +DPD2BINM[(sourmh>>16)&0x3ff];                  \
      sourhi=DFWORD(df, 0);                           \
      (buf)[3]=DPD2BIN0[((sourhi<<6) | (sourmh>>26))&0x3ff]   \
            +DPD2BINK[(sourhi>>4)&0x3ff]              \
            +DPD2BINM[DECCOMBMSD[sourhi>>26]];}

    #endif

    /* Macros to decode the coefficient in a finite decFloat *df into */
    /* a base-thousand uInt array, with the least-significant 0-999   */
    /* 'digit' at offset 0.                                 */

    /* Decode the declets.  After extracting each one, it is decoded  */
    /* to binary using a table lookup.                            */
    #if DECPMAX==7
    #define GETCOEFFTHOU(df, buf) {                   \
      uInt sourhi=DFWORD(df, 0);                      \
      (buf)[0]=DPD2BIN[sourhi&0x3ff];                       \
      (buf)[1]=DPD2BIN[(sourhi>>10)&0x3ff];                 \
      (buf)[2]=DECCOMBMSD[sourhi>>26];}

    #elif DECPMAX==16
    #define GETCOEFFTHOU(df, buf) {                   \
      uInt sourhi, sourlo;                            \
      sourlo=DFWORD(df, 1);                           \
      (buf)[0]=DPD2BIN[sourlo&0x3ff];                       \
      (buf)[1]=DPD2BIN[(sourlo>>10)&0x3ff];                 \
      (buf)[2]=DPD2BIN[(sourlo>>20)&0x3ff];                 \
      sourhi=DFWORD(df, 0);                           \
      (buf)[3]=DPD2BIN[((sourhi<<2) | (sourlo>>30))&0x3ff];   \
      (buf)[4]=DPD2BIN[(sourhi>>8)&0x3ff];                  \
      (buf)[5]=DECCOMBMSD[sourhi>>26];}

    #elif DECPMAX==34
    #define GETCOEFFTHOU(df, buf) {                   \
      uInt sourhi, sourmh, sourml, sourlo;                  \
      sourlo=DFWORD(df, 3);                           \
      (buf)[0]=DPD2BIN[sourlo&0x3ff];                       \
      (buf)[1]=DPD2BIN[(sourlo>>10)&0x3ff];                 \
      (buf)[2]=DPD2BIN[(sourlo>>20)&0x3ff];                 \
      sourml=DFWORD(df, 2);                           \
      (buf)[3]=DPD2BIN[((sourml<<2) | (sourlo>>30))&0x3ff];   \
      (buf)[4]=DPD2BIN[(sourml>>8)&0x3ff];                  \
      (buf)[5]=DPD2BIN[(sourml>>18)&0x3ff];                 \
      sourmh=DFWORD(df, 1);                           \
      (buf)[6]=DPD2BIN[((sourmh<<4) | (sourml>>28))&0x3ff];   \
      (buf)[7]=DPD2BIN[(sourmh>>6)&0x3ff];                  \
      (buf)[8]=DPD2BIN[(sourmh>>16)&0x3ff];                 \
      sourhi=DFWORD(df, 0);                           \
      (buf)[9]=DPD2BIN[((sourhi<<6) | (sourmh>>26))&0x3ff];   \
      (buf)[10]=DPD2BIN[(sourhi>>4)&0x3ff];                 \
      (buf)[11]=DECCOMBMSD[sourhi>>26];}

    #endif

    /* Set a decFloat to the maximum positive finite number (Nmax)    */
    #if DECPMAX==7
    #define DFSETNMAX(df)          \
      {DFWORD(df, 0)=0x77f3fcff;}
    #elif DECPMAX==16
    #define DFSETNMAX(df)          \
      {DFWORD(df, 0)=0x77fcff3f;     \
       DFWORD(df, 1)=0xcff3fcff;}
    #elif DECPMAX==34
    #define DFSETNMAX(df)          \
      {DFWORD(df, 0)=0x77ffcff3;     \
       DFWORD(df, 1)=0xfcff3fcf;     \
       DFWORD(df, 2)=0xf3fcff3f;     \
       DFWORD(df, 3)=0xcff3fcff;}
    #endif

  /* [end of format-dependent macros and constants]               */
  #endif

#else
  #error decNumberLocal included more than once
#endif

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