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jlechner |
/* Local definitions for the decNumber C Library.
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Copyright (C) 2007 Free Software Foundation, Inc.
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Contributed by IBM Corporation. Author Mike Cowlishaw.
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This file is part of GCC.
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GCC is free software; you can redistribute it and/or modify it under
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the terms of the GNU General Public License as published by the Free
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Software Foundation; either version 2, or (at your option) any later
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version.
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In addition to the permissions in the GNU General Public License,
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the Free Software Foundation gives you unlimited permission to link
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the compiled version of this file into combinations with other
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programs, and to distribute those combinations without any
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restriction coming from the use of this file. (The General Public
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License restrictions do apply in other respects; for example, they
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cover modification of the file, and distribution when not linked
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into a combine executable.)
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GCC is distributed in the hope that it will be useful, but WITHOUT ANY
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WARRANTY; without even the implied warranty of MERCHANTABILITY or
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FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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for more details.
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You should have received a copy of the GNU General Public License
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along with GCC; see the file COPYING. If not, write to the Free
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Software Foundation, 51 Franklin Street, Fifth Floor, Boston, MA
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02110-1301, USA. */
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/* ------------------------------------------------------------------ */
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/* decNumber package local type, tuning, and macro definitions */
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/* ------------------------------------------------------------------ */
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/* This header file is included by all modules in the decNumber */
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/* library, and contains local type definitions, tuning parameters, */
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/* etc. It should not need to be used by application programs. */
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/* decNumber.h or one of decDouble (etc.) must be included first. */
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/* ------------------------------------------------------------------ */
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#if !defined(DECNUMBERLOC)
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#define DECNUMBERLOC
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#define DECVERSION "decNumber 3.53" /* Package Version [16 max.] */
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#define DECNLAUTHOR "Mike Cowlishaw" /* Who to blame */
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#include <stdlib.h> /* for abs */
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#include <string.h> /* for memset, strcpy */
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#include "config.h" /* for WORDS_BIGENDIAN */
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/* Conditional code flag -- set this to match hardware platform */
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/* 1=little-endian, 0=big-endian */
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#if WORDS_BIGENDIAN
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#define DECLITEND 0
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#else
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#define DECLITEND 1
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#endif
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/* Conditional code flag -- set this to 1 for best performance */
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#define DECUSE64 1 /* 1=use int64s, 0=int32 & smaller only */
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/* Conditional check flags -- set these to 0 for best performance */
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#define DECCHECK 0 /* 1 to enable robust checking */
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#define DECALLOC 0 /* 1 to enable memory accounting */
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#define DECTRACE 0 /* 1 to trace certain internals, etc. */
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/* Tuning parameter for decNumber (arbitrary precision) module */
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#define DECBUFFER 36 /* Size basis for local buffers. This */
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/* should be a common maximum precision */
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/* rounded up to a multiple of 4; must */
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/* be zero or positive. */
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/* ---------------------------------------------------------------- */
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/* Definitions for all modules (general-purpose) */
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/* ---------------------------------------------------------------- */
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/* Local names for common types -- for safety, decNumber modules do */
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/* not use int or long directly. */
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#define Flag uint8_t
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#define Byte int8_t
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#define uByte uint8_t
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#define Short int16_t
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#define uShort uint16_t
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#define Int int32_t
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#define uInt uint32_t
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#define Unit decNumberUnit
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#if DECUSE64
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#define Long int64_t
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#define uLong uint64_t
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#endif
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/* Development-use definitions */
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typedef long int LI; /* for printf arguments only */
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#define DECNOINT 0 /* 1 to check no internal use of 'int' */
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#if DECNOINT
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/* if these interfere with your C includes, do not set DECNOINT */
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#define int ? /* enable to ensure that plain C 'int' */
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#define long ?? /* .. or 'long' types are not used */
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#endif
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/* Shared lookup tables */
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extern const uByte DECSTICKYTAB[10]; /* re-round digits if sticky */
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extern const uInt DECPOWERS[10]; /* powers of ten table */
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/* The following are included from decDPD.h */
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#include "decDPDSymbols.h"
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extern const uShort DPD2BIN[1024]; /* DPD -> 0-999 */
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extern const uShort BIN2DPD[1000]; /* 0-999 -> DPD */
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extern const uInt DPD2BINK[1024]; /* DPD -> 0-999000 */
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extern const uInt DPD2BINM[1024]; /* DPD -> 0-999000000 */
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extern const uByte DPD2BCD8[4096]; /* DPD -> ddd + len */
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extern const uByte BIN2BCD8[4000]; /* 0-999 -> ddd + len */
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extern const uShort BCD2DPD[2458]; /* 0-0x999 -> DPD (0x999=2457)*/
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/* LONGMUL32HI -- set w=(u*v)>>32, where w, u, and v are uInts */
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/* (that is, sets w to be the high-order word of the 64-bit result; */
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/* the low-order word is simply u*v.) */
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/* This version is derived from Knuth via Hacker's Delight; */
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/* it seems to optimize better than some others tried */
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#define LONGMUL32HI(w, u, v) { \
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uInt u0, u1, v0, v1, w0, w1, w2, t; \
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u0=u & 0xffff; u1=u>>16; \
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v0=v & 0xffff; v1=v>>16; \
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w0=u0*v0; \
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t=u1*v0 + (w0>>16); \
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w1=t & 0xffff; w2=t>>16; \
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w1=u0*v1 + w1; \
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(w)=u1*v1 + w2 + (w1>>16);}
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/* ROUNDUP -- round an integer up to a multiple of n */
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#define ROUNDUP(i, n) ((((i)+(n)-1)/n)*n)
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/* ROUNDDOWN -- round an integer down to a multiple of n */
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#define ROUNDDOWN(i, n) (((i)/n)*n)
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#define ROUNDDOWN4(i) ((i)&~3) /* special for n=4 */
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/* References to multi-byte sequences under different sizes */
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/* Refer to a uInt from four bytes starting at a char* or uByte*, */
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/* etc. */
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#define UINTAT(b) (*((uInt *)(b)))
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#define USHORTAT(b) (*((uShort *)(b)))
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#define UBYTEAT(b) (*((uByte *)(b)))
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/* X10 and X100 -- multiply integer i by 10 or 100 */
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/* [shifts are usually faster than multiply; could be conditional] */
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#define X10(i) (((i)<<1)+((i)<<3))
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#define X100(i) (((i)<<2)+((i)<<5)+((i)<<6))
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/* MAXI and MINI -- general max & min (not in ANSI) for integers */
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#define MAXI(x,y) ((x)<(y)?(y):(x))
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#define MINI(x,y) ((x)>(y)?(y):(x))
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/* Useful constants */
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#define BILLION 1000000000 /* 10**9 */
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/* CHARMASK: 0x30303030 for ASCII/UTF8; 0xF0F0F0F0 for EBCDIC */
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#define CHARMASK ((((((((uInt)'0')<<8)+'0')<<8)+'0')<<8)+'0')
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/* ---------------------------------------------------------------- */
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/* Definitions for arbitary-precision modules (only valid after */
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/* decNumber.h has been included) */
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/* ---------------------------------------------------------------- */
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/* Limits and constants */
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#define DECNUMMAXP 999999999 /* maximum precision code can handle */
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#define DECNUMMAXE 999999999 /* maximum adjusted exponent ditto */
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#define DECNUMMINE -999999999 /* minimum adjusted exponent ditto */
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#if (DECNUMMAXP != DEC_MAX_DIGITS)
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#error Maximum digits mismatch
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#endif
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#if (DECNUMMAXE != DEC_MAX_EMAX)
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#error Maximum exponent mismatch
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#endif
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#if (DECNUMMINE != DEC_MIN_EMIN)
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#error Minimum exponent mismatch
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#endif
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/* Set DECDPUNMAX -- the maximum integer that fits in DECDPUN */
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/* digits, and D2UTABLE -- the initializer for the D2U table */
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#if DECDPUN==1
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#define DECDPUNMAX 9
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#define D2UTABLE {0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17, \
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18,19,20,21,22,23,24,25,26,27,28,29,30,31,32, \
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33,34,35,36,37,38,39,40,41,42,43,44,45,46,47, \
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48,49}
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#elif DECDPUN==2
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#define DECDPUNMAX 99
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#define D2UTABLE {0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10, \
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11,11,12,12,13,13,14,14,15,15,16,16,17,17,18, \
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18,19,19,20,20,21,21,22,22,23,23,24,24,25}
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#elif DECDPUN==3
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#define DECDPUNMAX 999
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#define D2UTABLE {0,1,1,1,2,2,2,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7, \
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8,8,8,9,9,9,10,10,10,11,11,11,12,12,12,13,13, \
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13,14,14,14,15,15,15,16,16,16,17}
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#elif DECDPUN==4
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#define DECDPUNMAX 9999
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#define D2UTABLE {0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,5,5,5,5,6, \
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6,6,6,7,7,7,7,8,8,8,8,9,9,9,9,10,10,10,10,11, \
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11,11,11,12,12,12,12,13}
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#elif DECDPUN==5
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#define DECDPUNMAX 99999
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#define D2UTABLE {0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,5, \
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5,5,5,5,6,6,6,6,6,7,7,7,7,7,8,8,8,8,8,9,9,9, \
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9,9,10,10,10,10}
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#elif DECDPUN==6
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#define DECDPUNMAX 999999
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#define D2UTABLE {0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4, \
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4,4,4,5,5,5,5,5,5,6,6,6,6,6,6,7,7,7,7,7,7,8, \
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8,8,8,8,8,9}
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#elif DECDPUN==7
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#define DECDPUNMAX 9999999
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#define D2UTABLE {0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3, \
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4,4,4,4,4,4,4,5,5,5,5,5,5,5,6,6,6,6,6,6,6,7, \
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7,7,7,7,7,7}
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#elif DECDPUN==8
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#define DECDPUNMAX 99999999
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#define D2UTABLE {0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3, \
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3,3,3,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,6,6,6, \
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6,6,6,6,6,7}
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#elif DECDPUN==9
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#define DECDPUNMAX 999999999
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#define D2UTABLE {0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3, \
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3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5, \
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5,5,6,6,6,6}
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#elif defined(DECDPUN)
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#error DECDPUN must be in the range 1-9
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#endif
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/* ----- Shared data (in decNumber.c) ----- */
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/* Public lookup table used by the D2U macro (see below) */
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#define DECMAXD2U 49
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extern const uByte d2utable[DECMAXD2U+1];
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| 232 |
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/* ----- Macros ----- */
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/* ISZERO -- return true if decNumber dn is a zero */
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/* [performance-critical in some situations] */
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#define ISZERO(dn) decNumberIsZero(dn) /* now just a local name */
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| 237 |
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/* D2U -- return the number of Units needed to hold d digits */
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/* (runtime version, with table lookaside for small d) */
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#if DECDPUN==8
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#define D2U(d) ((unsigned)((d)<=DECMAXD2U?d2utable[d]:((d)+7)>>3))
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#elif DECDPUN==4
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#define D2U(d) ((unsigned)((d)<=DECMAXD2U?d2utable[d]:((d)+3)>>2))
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#else
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| 244 |
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#define D2U(d) ((d)<=DECMAXD2U?d2utable[d]:((d)+DECDPUN-1)/DECDPUN)
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| 245 |
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#endif
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| 246 |
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/* SD2U -- static D2U macro (for compile-time calculation) */
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| 247 |
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#define SD2U(d) (((d)+DECDPUN-1)/DECDPUN)
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| 249 |
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/* MSUDIGITS -- returns digits in msu, from digits, calculated */
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| 250 |
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/* using D2U */
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| 251 |
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#define MSUDIGITS(d) ((d)-(D2U(d)-1)*DECDPUN)
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| 252 |
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| 253 |
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/* D2N -- return the number of decNumber structs that would be */
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/* needed to contain that number of digits (and the initial */
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| 255 |
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/* decNumber struct) safely. Note that one Unit is included in the */
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| 256 |
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/* initial structure. Used for allocating space that is aligned on */
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| 257 |
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/* a decNumber struct boundary. */
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#define D2N(d) \
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((((SD2U(d)-1)*sizeof(Unit))+sizeof(decNumber)*2-1)/sizeof(decNumber))
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| 261 |
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/* TODIGIT -- macro to remove the leading digit from the unsigned */
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/* integer u at column cut (counting from the right, LSD=0) and */
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| 263 |
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/* place it as an ASCII character into the character pointed to by */
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| 264 |
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/* c. Note that cut must be <= 9, and the maximum value for u is */
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| 265 |
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/* 2,000,000,000 (as is needed for negative exponents of */
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| 266 |
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/* subnormals). The unsigned integer pow is used as a temporary */
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| 267 |
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/* variable. */
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#define TODIGIT(u, cut, c, pow) { \
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*(c)='0'; \
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| 270 |
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pow=DECPOWERS[cut]*2; \
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| 271 |
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if ((u)>pow) { \
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pow*=4; \
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if ((u)>=pow) {(u)-=pow; *(c)+=8;} \
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pow/=2; \
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if ((u)>=pow) {(u)-=pow; *(c)+=4;} \
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| 276 |
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pow/=2; \
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| 277 |
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} \
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| 278 |
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if ((u)>=pow) {(u)-=pow; *(c)+=2;} \
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| 279 |
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pow/=2; \
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| 280 |
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if ((u)>=pow) {(u)-=pow; *(c)+=1;} \
|
| 281 |
|
|
}
|
| 282 |
|
|
|
| 283 |
|
|
/* ---------------------------------------------------------------- */
|
| 284 |
|
|
/* Definitions for fixed-precision modules (only valid after */
|
| 285 |
|
|
/* decSingle.h, decDouble.h, or decQuad.h has been included) */
|
| 286 |
|
|
/* ---------------------------------------------------------------- */
|
| 287 |
|
|
|
| 288 |
|
|
/* bcdnum -- a structure describing a format-independent finite */
|
| 289 |
|
|
/* number, whose coefficient is a string of bcd8 uBytes */
|
| 290 |
|
|
typedef struct {
|
| 291 |
|
|
uByte *msd; /* -> most significant digit */
|
| 292 |
|
|
uByte *lsd; /* -> least ditto */
|
| 293 |
|
|
uInt sign; /* 0=positive, DECFLOAT_Sign=negative */
|
| 294 |
|
|
Int exponent; /* Unadjusted signed exponent (q), or */
|
| 295 |
|
|
/* DECFLOAT_NaN etc. for a special */
|
| 296 |
|
|
} bcdnum;
|
| 297 |
|
|
|
| 298 |
|
|
/* Test if exponent or bcdnum exponent must be a special, etc. */
|
| 299 |
|
|
#define EXPISSPECIAL(exp) ((exp)>=DECFLOAT_MinSp)
|
| 300 |
|
|
#define EXPISINF(exp) (exp==DECFLOAT_Inf)
|
| 301 |
|
|
#define EXPISNAN(exp) (exp==DECFLOAT_qNaN || exp==DECFLOAT_sNaN)
|
| 302 |
|
|
#define NUMISSPECIAL(num) (EXPISSPECIAL((num)->exponent))
|
| 303 |
|
|
|
| 304 |
|
|
/* Refer to a 32-bit word or byte in a decFloat (df) by big-endian */
|
| 305 |
|
|
/* (array) notation (the 0 word or byte contains the sign bit), */
|
| 306 |
|
|
/* automatically adjusting for endianness; similarly address a word */
|
| 307 |
|
|
/* in the next-wider format (decFloatWider, or dfw) */
|
| 308 |
|
|
#define DECWORDS (DECBYTES/4)
|
| 309 |
|
|
#define DECWWORDS (DECWBYTES/4)
|
| 310 |
|
|
#if DECLITEND
|
| 311 |
|
|
#define DFWORD(df, off) UINTAT((df)->bytes+(DECWORDS-1-(off))*4)
|
| 312 |
|
|
#define DFBYTE(df, off) UBYTEAT((df)->bytes+(DECBYTES-1-(off)))
|
| 313 |
|
|
#define DFWWORD(dfw, off) UINTAT((dfw)->bytes+(DECWWORDS-1-(off))*4)
|
| 314 |
|
|
#else
|
| 315 |
|
|
#define DFWORD(df, off) UINTAT((df)->bytes+(off)*4)
|
| 316 |
|
|
#define DFBYTE(df, off) UBYTEAT((df)->bytes+(off))
|
| 317 |
|
|
#define DFWWORD(dfw, off) UINTAT((dfw)->bytes+(off)*4)
|
| 318 |
|
|
#endif
|
| 319 |
|
|
|
| 320 |
|
|
/* Tests for sign or specials, directly on DECFLOATs */
|
| 321 |
|
|
#define DFISSIGNED(df) (DFWORD(df, 0)&0x80000000)
|
| 322 |
|
|
#define DFISSPECIAL(df) ((DFWORD(df, 0)&0x78000000)==0x78000000)
|
| 323 |
|
|
#define DFISINF(df) ((DFWORD(df, 0)&0x7c000000)==0x78000000)
|
| 324 |
|
|
#define DFISNAN(df) ((DFWORD(df, 0)&0x7c000000)==0x7c000000)
|
| 325 |
|
|
#define DFISQNAN(df) ((DFWORD(df, 0)&0x7e000000)==0x7c000000)
|
| 326 |
|
|
#define DFISSNAN(df) ((DFWORD(df, 0)&0x7e000000)==0x7e000000)
|
| 327 |
|
|
|
| 328 |
|
|
/* Shared lookup tables */
|
| 329 |
|
|
#include "decCommonSymbols.h"
|
| 330 |
|
|
extern const uInt DECCOMBMSD[64]; /* Combination field -> MSD */
|
| 331 |
|
|
extern const uInt DECCOMBFROM[48]; /* exp+msd -> Combination */
|
| 332 |
|
|
|
| 333 |
|
|
/* Private generic (utility) routine */
|
| 334 |
|
|
#if DECCHECK || DECTRACE
|
| 335 |
|
|
extern void decShowNum(const bcdnum *, const char *);
|
| 336 |
|
|
#endif
|
| 337 |
|
|
|
| 338 |
|
|
/* Format-dependent macros and constants */
|
| 339 |
|
|
#if defined(DECPMAX)
|
| 340 |
|
|
|
| 341 |
|
|
/* Useful constants */
|
| 342 |
|
|
#define DECPMAX9 (ROUNDUP(DECPMAX, 9)/9) /* 'Pmax' in 10**9s */
|
| 343 |
|
|
/* Top words for a zero */
|
| 344 |
|
|
#define SINGLEZERO 0x22500000
|
| 345 |
|
|
#define DOUBLEZERO 0x22380000
|
| 346 |
|
|
#define QUADZERO 0x22080000
|
| 347 |
|
|
/* [ZEROWORD is defined to be one of these in the DFISZERO macro] */
|
| 348 |
|
|
|
| 349 |
|
|
/* Format-dependent common tests: */
|
| 350 |
|
|
/* DFISZERO -- test for (any) zero */
|
| 351 |
|
|
/* DFISCCZERO -- test for coefficient continuation being zero */
|
| 352 |
|
|
/* DFISCC01 -- test for coefficient contains only 0s and 1s */
|
| 353 |
|
|
/* DFISINT -- test for finite and exponent q=0 */
|
| 354 |
|
|
/* DFISUINT01 -- test for sign=0, finite, exponent q=0, and */
|
| 355 |
|
|
/* MSD=0 or 1 */
|
| 356 |
|
|
/* ZEROWORD is also defined here. */
|
| 357 |
|
|
/* In DFISZERO the first test checks the least-significant word */
|
| 358 |
|
|
/* (most likely to be non-zero); the penultimate tests MSD and */
|
| 359 |
|
|
/* DPDs in the signword, and the final test excludes specials and */
|
| 360 |
|
|
/* MSD>7. DFISINT similarly has to allow for the two forms of */
|
| 361 |
|
|
/* MSD codes. DFISUINT01 only has to allow for one form of MSD */
|
| 362 |
|
|
/* code. */
|
| 363 |
|
|
#if DECPMAX==7
|
| 364 |
|
|
#define ZEROWORD SINGLEZERO
|
| 365 |
|
|
/* [test macros not needed except for Zero] */
|
| 366 |
|
|
#define DFISZERO(df) ((DFWORD(df, 0)&0x1c0fffff)==0 \
|
| 367 |
|
|
&& (DFWORD(df, 0)&0x60000000)!=0x60000000)
|
| 368 |
|
|
#elif DECPMAX==16
|
| 369 |
|
|
#define ZEROWORD DOUBLEZERO
|
| 370 |
|
|
#define DFISZERO(df) ((DFWORD(df, 1)==0 \
|
| 371 |
|
|
&& (DFWORD(df, 0)&0x1c03ffff)==0 \
|
| 372 |
|
|
&& (DFWORD(df, 0)&0x60000000)!=0x60000000))
|
| 373 |
|
|
#define DFISINT(df) ((DFWORD(df, 0)&0x63fc0000)==0x22380000 \
|
| 374 |
|
|
||(DFWORD(df, 0)&0x7bfc0000)==0x6a380000)
|
| 375 |
|
|
#define DFISUINT01(df) ((DFWORD(df, 0)&0xfbfc0000)==0x22380000)
|
| 376 |
|
|
#define DFISCCZERO(df) (DFWORD(df, 1)==0 \
|
| 377 |
|
|
&& (DFWORD(df, 0)&0x0003ffff)==0)
|
| 378 |
|
|
#define DFISCC01(df) ((DFWORD(df, 0)&~0xfffc9124)==0 \
|
| 379 |
|
|
&& (DFWORD(df, 1)&~0x49124491)==0)
|
| 380 |
|
|
#elif DECPMAX==34
|
| 381 |
|
|
#define ZEROWORD QUADZERO
|
| 382 |
|
|
#define DFISZERO(df) ((DFWORD(df, 3)==0 \
|
| 383 |
|
|
&& DFWORD(df, 2)==0 \
|
| 384 |
|
|
&& DFWORD(df, 1)==0 \
|
| 385 |
|
|
&& (DFWORD(df, 0)&0x1c003fff)==0 \
|
| 386 |
|
|
&& (DFWORD(df, 0)&0x60000000)!=0x60000000))
|
| 387 |
|
|
#define DFISINT(df) ((DFWORD(df, 0)&0x63ffc000)==0x22080000 \
|
| 388 |
|
|
||(DFWORD(df, 0)&0x7bffc000)==0x6a080000)
|
| 389 |
|
|
#define DFISUINT01(df) ((DFWORD(df, 0)&0xfbffc000)==0x22080000)
|
| 390 |
|
|
#define DFISCCZERO(df) (DFWORD(df, 3)==0 \
|
| 391 |
|
|
&& DFWORD(df, 2)==0 \
|
| 392 |
|
|
&& DFWORD(df, 1)==0 \
|
| 393 |
|
|
&& (DFWORD(df, 0)&0x00003fff)==0)
|
| 394 |
|
|
|
| 395 |
|
|
#define DFISCC01(df) ((DFWORD(df, 0)&~0xffffc912)==0 \
|
| 396 |
|
|
&& (DFWORD(df, 1)&~0x44912449)==0 \
|
| 397 |
|
|
&& (DFWORD(df, 2)&~0x12449124)==0 \
|
| 398 |
|
|
&& (DFWORD(df, 3)&~0x49124491)==0)
|
| 399 |
|
|
#endif
|
| 400 |
|
|
|
| 401 |
|
|
/* Macros to test if a certain 10 bits of a uInt or pair of uInts */
|
| 402 |
|
|
/* are a canonical declet [higher or lower bits are ignored]. */
|
| 403 |
|
|
/* declet is at offset 0 (from the right) in a uInt: */
|
| 404 |
|
|
#define CANONDPD(dpd) (((dpd)&0x300)==0 || ((dpd)&0x6e)!=0x6e)
|
| 405 |
|
|
/* declet is at offset k (a multiple of 2) in a uInt: */
|
| 406 |
|
|
#define CANONDPDOFF(dpd, k) (((dpd)&(0x300<<(k)))==0 \
|
| 407 |
|
|
|| ((dpd)&(((uInt)0x6e)<<(k)))!=(((uInt)0x6e)<<(k)))
|
| 408 |
|
|
/* declet is at offset k (a multiple of 2) in a pair of uInts: */
|
| 409 |
|
|
/* [the top 2 bits will always be in the more-significant uInt] */
|
| 410 |
|
|
#define CANONDPDTWO(hi, lo, k) (((hi)&(0x300>>(32-(k))))==0 \
|
| 411 |
|
|
|| ((hi)&(0x6e>>(32-(k))))!=(0x6e>>(32-(k))) \
|
| 412 |
|
|
|| ((lo)&(((uInt)0x6e)<<(k)))!=(((uInt)0x6e)<<(k)))
|
| 413 |
|
|
|
| 414 |
|
|
/* Macro to test whether a full-length (length DECPMAX) BCD8 */
|
| 415 |
|
|
/* coefficient is zero */
|
| 416 |
|
|
/* test just the LSWord first, then the remainder */
|
| 417 |
|
|
#if DECPMAX==7
|
| 418 |
|
|
#define ISCOEFFZERO(u) (UINTAT((u)+DECPMAX-4)==0 \
|
| 419 |
|
|
&& UINTAT((u)+DECPMAX-7)==0)
|
| 420 |
|
|
#elif DECPMAX==16
|
| 421 |
|
|
#define ISCOEFFZERO(u) (UINTAT((u)+DECPMAX-4)==0 \
|
| 422 |
|
|
&& (UINTAT((u)+DECPMAX-8)+UINTAT((u)+DECPMAX-12) \
|
| 423 |
|
|
+UINTAT((u)+DECPMAX-16))==0)
|
| 424 |
|
|
#elif DECPMAX==34
|
| 425 |
|
|
#define ISCOEFFZERO(u) (UINTAT((u)+DECPMAX-4)==0 \
|
| 426 |
|
|
&& (UINTAT((u)+DECPMAX-8) +UINTAT((u)+DECPMAX-12) \
|
| 427 |
|
|
+UINTAT((u)+DECPMAX-16)+UINTAT((u)+DECPMAX-20) \
|
| 428 |
|
|
+UINTAT((u)+DECPMAX-24)+UINTAT((u)+DECPMAX-28) \
|
| 429 |
|
|
+UINTAT((u)+DECPMAX-32)+USHORTAT((u)+DECPMAX-34))==0)
|
| 430 |
|
|
#endif
|
| 431 |
|
|
|
| 432 |
|
|
/* Macros and masks for the exponent continuation field and MSD */
|
| 433 |
|
|
/* Get the exponent continuation from a decFloat *df as an Int */
|
| 434 |
|
|
#define GETECON(df) ((Int)((DFWORD((df), 0)&0x03ffffff)>>(32-6-DECECONL)))
|
| 435 |
|
|
/* Ditto, from the next-wider format */
|
| 436 |
|
|
#define GETWECON(df) ((Int)((DFWWORD((df), 0)&0x03ffffff)>>(32-6-DECWECONL)))
|
| 437 |
|
|
/* Get the biased exponent similarly */
|
| 438 |
|
|
#define GETEXP(df) ((Int)(DECCOMBEXP[DFWORD((df), 0)>>26]+GETECON(df)))
|
| 439 |
|
|
/* Get the unbiased exponent similarly */
|
| 440 |
|
|
#define GETEXPUN(df) ((Int)GETEXP(df)-DECBIAS)
|
| 441 |
|
|
/* Get the MSD similarly (as uInt) */
|
| 442 |
|
|
#define GETMSD(df) (DECCOMBMSD[DFWORD((df), 0)>>26])
|
| 443 |
|
|
|
| 444 |
|
|
/* Compile-time computes of the exponent continuation field masks */
|
| 445 |
|
|
/* full exponent continuation field: */
|
| 446 |
|
|
#define ECONMASK ((0x03ffffff>>(32-6-DECECONL))<<(32-6-DECECONL))
|
| 447 |
|
|
/* same, not including its first digit (the qNaN/sNaN selector): */
|
| 448 |
|
|
#define ECONNANMASK ((0x01ffffff>>(32-6-DECECONL))<<(32-6-DECECONL))
|
| 449 |
|
|
|
| 450 |
|
|
/* Macros to decode the coefficient in a finite decFloat *df into */
|
| 451 |
|
|
/* a BCD string (uByte *bcdin) of length DECPMAX uBytes */
|
| 452 |
|
|
|
| 453 |
|
|
/* In-line sequence to convert 10 bits at right end of uInt dpd */
|
| 454 |
|
|
/* to three BCD8 digits starting at uByte u. Note that an extra */
|
| 455 |
|
|
/* byte is written to the right of the three digits because this */
|
| 456 |
|
|
/* moves four at a time for speed; the alternative macro moves */
|
| 457 |
|
|
/* exactly three bytes */
|
| 458 |
|
|
#define dpd2bcd8(u, dpd) { \
|
| 459 |
|
|
UINTAT(u)=UINTAT(&DPD2BCD8[((dpd)&0x3ff)*4]);}
|
| 460 |
|
|
|
| 461 |
|
|
#define dpd2bcd83(u, dpd) { \
|
| 462 |
|
|
*(u)=DPD2BCD8[((dpd)&0x3ff)*4]; \
|
| 463 |
|
|
*(u+1)=DPD2BCD8[((dpd)&0x3ff)*4+1]; \
|
| 464 |
|
|
*(u+2)=DPD2BCD8[((dpd)&0x3ff)*4+2];}
|
| 465 |
|
|
|
| 466 |
|
|
/* Decode the declets. After extracting each one, it is decoded */
|
| 467 |
|
|
/* to BCD8 using a table lookup (also used for variable-length */
|
| 468 |
|
|
/* decode). Each DPD decode is 3 bytes BCD8 plus a one-byte */
|
| 469 |
|
|
/* length which is not used, here). Fixed-length 4-byte moves */
|
| 470 |
|
|
/* are fast, however, almost everywhere, and so are used except */
|
| 471 |
|
|
/* for the final three bytes (to avoid overrun). The code below */
|
| 472 |
|
|
/* is 36 instructions for Doubles and about 70 for Quads, even */
|
| 473 |
|
|
/* on IA32. */
|
| 474 |
|
|
|
| 475 |
|
|
/* Two macros are defined for each format: */
|
| 476 |
|
|
/* GETCOEFF extracts the coefficient of the current format */
|
| 477 |
|
|
/* GETWCOEFF extracts the coefficient of the next-wider format. */
|
| 478 |
|
|
/* The latter is a copy of the next-wider GETCOEFF using DFWWORD. */
|
| 479 |
|
|
|
| 480 |
|
|
#if DECPMAX==7
|
| 481 |
|
|
#define GETCOEFF(df, bcd) { \
|
| 482 |
|
|
uInt sourhi=DFWORD(df, 0); \
|
| 483 |
|
|
*(bcd)=(uByte)DECCOMBMSD[sourhi>>26]; \
|
| 484 |
|
|
dpd2bcd8(bcd+1, sourhi>>10); \
|
| 485 |
|
|
dpd2bcd83(bcd+4, sourhi);}
|
| 486 |
|
|
#define GETWCOEFF(df, bcd) { \
|
| 487 |
|
|
uInt sourhi=DFWWORD(df, 0); \
|
| 488 |
|
|
uInt sourlo=DFWWORD(df, 1); \
|
| 489 |
|
|
*(bcd)=(uByte)DECCOMBMSD[sourhi>>26]; \
|
| 490 |
|
|
dpd2bcd8(bcd+1, sourhi>>8); \
|
| 491 |
|
|
dpd2bcd8(bcd+4, (sourhi<<2) | (sourlo>>30)); \
|
| 492 |
|
|
dpd2bcd8(bcd+7, sourlo>>20); \
|
| 493 |
|
|
dpd2bcd8(bcd+10, sourlo>>10); \
|
| 494 |
|
|
dpd2bcd83(bcd+13, sourlo);}
|
| 495 |
|
|
|
| 496 |
|
|
#elif DECPMAX==16
|
| 497 |
|
|
#define GETCOEFF(df, bcd) { \
|
| 498 |
|
|
uInt sourhi=DFWORD(df, 0); \
|
| 499 |
|
|
uInt sourlo=DFWORD(df, 1); \
|
| 500 |
|
|
*(bcd)=(uByte)DECCOMBMSD[sourhi>>26]; \
|
| 501 |
|
|
dpd2bcd8(bcd+1, sourhi>>8); \
|
| 502 |
|
|
dpd2bcd8(bcd+4, (sourhi<<2) | (sourlo>>30)); \
|
| 503 |
|
|
dpd2bcd8(bcd+7, sourlo>>20); \
|
| 504 |
|
|
dpd2bcd8(bcd+10, sourlo>>10); \
|
| 505 |
|
|
dpd2bcd83(bcd+13, sourlo);}
|
| 506 |
|
|
#define GETWCOEFF(df, bcd) { \
|
| 507 |
|
|
uInt sourhi=DFWWORD(df, 0); \
|
| 508 |
|
|
uInt sourmh=DFWWORD(df, 1); \
|
| 509 |
|
|
uInt sourml=DFWWORD(df, 2); \
|
| 510 |
|
|
uInt sourlo=DFWWORD(df, 3); \
|
| 511 |
|
|
*(bcd)=(uByte)DECCOMBMSD[sourhi>>26]; \
|
| 512 |
|
|
dpd2bcd8(bcd+1, sourhi>>4); \
|
| 513 |
|
|
dpd2bcd8(bcd+4, ((sourhi)<<6) | (sourmh>>26)); \
|
| 514 |
|
|
dpd2bcd8(bcd+7, sourmh>>16); \
|
| 515 |
|
|
dpd2bcd8(bcd+10, sourmh>>6); \
|
| 516 |
|
|
dpd2bcd8(bcd+13, ((sourmh)<<4) | (sourml>>28)); \
|
| 517 |
|
|
dpd2bcd8(bcd+16, sourml>>18); \
|
| 518 |
|
|
dpd2bcd8(bcd+19, sourml>>8); \
|
| 519 |
|
|
dpd2bcd8(bcd+22, ((sourml)<<2) | (sourlo>>30)); \
|
| 520 |
|
|
dpd2bcd8(bcd+25, sourlo>>20); \
|
| 521 |
|
|
dpd2bcd8(bcd+28, sourlo>>10); \
|
| 522 |
|
|
dpd2bcd83(bcd+31, sourlo);}
|
| 523 |
|
|
|
| 524 |
|
|
#elif DECPMAX==34
|
| 525 |
|
|
#define GETCOEFF(df, bcd) { \
|
| 526 |
|
|
uInt sourhi=DFWORD(df, 0); \
|
| 527 |
|
|
uInt sourmh=DFWORD(df, 1); \
|
| 528 |
|
|
uInt sourml=DFWORD(df, 2); \
|
| 529 |
|
|
uInt sourlo=DFWORD(df, 3); \
|
| 530 |
|
|
*(bcd)=(uByte)DECCOMBMSD[sourhi>>26]; \
|
| 531 |
|
|
dpd2bcd8(bcd+1, sourhi>>4); \
|
| 532 |
|
|
dpd2bcd8(bcd+4, ((sourhi)<<6) | (sourmh>>26)); \
|
| 533 |
|
|
dpd2bcd8(bcd+7, sourmh>>16); \
|
| 534 |
|
|
dpd2bcd8(bcd+10, sourmh>>6); \
|
| 535 |
|
|
dpd2bcd8(bcd+13, ((sourmh)<<4) | (sourml>>28)); \
|
| 536 |
|
|
dpd2bcd8(bcd+16, sourml>>18); \
|
| 537 |
|
|
dpd2bcd8(bcd+19, sourml>>8); \
|
| 538 |
|
|
dpd2bcd8(bcd+22, ((sourml)<<2) | (sourlo>>30)); \
|
| 539 |
|
|
dpd2bcd8(bcd+25, sourlo>>20); \
|
| 540 |
|
|
dpd2bcd8(bcd+28, sourlo>>10); \
|
| 541 |
|
|
dpd2bcd83(bcd+31, sourlo);}
|
| 542 |
|
|
|
| 543 |
|
|
#define GETWCOEFF(df, bcd) {??} /* [should never be used] */
|
| 544 |
|
|
#endif
|
| 545 |
|
|
|
| 546 |
|
|
/* Macros to decode the coefficient in a finite decFloat *df into */
|
| 547 |
|
|
/* a base-billion uInt array, with the least-significant */
|
| 548 |
|
|
/* 0-999999999 'digit' at offset 0. */
|
| 549 |
|
|
|
| 550 |
|
|
/* Decode the declets. After extracting each one, it is decoded */
|
| 551 |
|
|
/* to binary using a table lookup. Three tables are used; one */
|
| 552 |
|
|
/* the usual DPD to binary, the other two pre-multiplied by 1000 */
|
| 553 |
|
|
/* and 1000000 to avoid multiplication during decode. These */
|
| 554 |
|
|
/* tables can also be used for multiplying up the MSD as the DPD */
|
| 555 |
|
|
/* code for 0 through 9 is the identity. */
|
| 556 |
|
|
#define DPD2BIN0 DPD2BIN /* for prettier code */
|
| 557 |
|
|
|
| 558 |
|
|
#if DECPMAX==7
|
| 559 |
|
|
#define GETCOEFFBILL(df, buf) { \
|
| 560 |
|
|
uInt sourhi=DFWORD(df, 0); \
|
| 561 |
|
|
(buf)[0]=DPD2BIN0[sourhi&0x3ff] \
|
| 562 |
|
|
+DPD2BINK[(sourhi>>10)&0x3ff] \
|
| 563 |
|
|
+DPD2BINM[DECCOMBMSD[sourhi>>26]];}
|
| 564 |
|
|
|
| 565 |
|
|
#elif DECPMAX==16
|
| 566 |
|
|
#define GETCOEFFBILL(df, buf) { \
|
| 567 |
|
|
uInt sourhi, sourlo; \
|
| 568 |
|
|
sourlo=DFWORD(df, 1); \
|
| 569 |
|
|
(buf)[0]=DPD2BIN0[sourlo&0x3ff] \
|
| 570 |
|
|
+DPD2BINK[(sourlo>>10)&0x3ff] \
|
| 571 |
|
|
+DPD2BINM[(sourlo>>20)&0x3ff]; \
|
| 572 |
|
|
sourhi=DFWORD(df, 0); \
|
| 573 |
|
|
(buf)[1]=DPD2BIN0[((sourhi<<2) | (sourlo>>30))&0x3ff] \
|
| 574 |
|
|
+DPD2BINK[(sourhi>>8)&0x3ff] \
|
| 575 |
|
|
+DPD2BINM[DECCOMBMSD[sourhi>>26]];}
|
| 576 |
|
|
|
| 577 |
|
|
#elif DECPMAX==34
|
| 578 |
|
|
#define GETCOEFFBILL(df, buf) { \
|
| 579 |
|
|
uInt sourhi, sourmh, sourml, sourlo; \
|
| 580 |
|
|
sourlo=DFWORD(df, 3); \
|
| 581 |
|
|
(buf)[0]=DPD2BIN0[sourlo&0x3ff] \
|
| 582 |
|
|
+DPD2BINK[(sourlo>>10)&0x3ff] \
|
| 583 |
|
|
+DPD2BINM[(sourlo>>20)&0x3ff]; \
|
| 584 |
|
|
sourml=DFWORD(df, 2); \
|
| 585 |
|
|
(buf)[1]=DPD2BIN0[((sourml<<2) | (sourlo>>30))&0x3ff] \
|
| 586 |
|
|
+DPD2BINK[(sourml>>8)&0x3ff] \
|
| 587 |
|
|
+DPD2BINM[(sourml>>18)&0x3ff]; \
|
| 588 |
|
|
sourmh=DFWORD(df, 1); \
|
| 589 |
|
|
(buf)[2]=DPD2BIN0[((sourmh<<4) | (sourml>>28))&0x3ff] \
|
| 590 |
|
|
+DPD2BINK[(sourmh>>6)&0x3ff] \
|
| 591 |
|
|
+DPD2BINM[(sourmh>>16)&0x3ff]; \
|
| 592 |
|
|
sourhi=DFWORD(df, 0); \
|
| 593 |
|
|
(buf)[3]=DPD2BIN0[((sourhi<<6) | (sourmh>>26))&0x3ff] \
|
| 594 |
|
|
+DPD2BINK[(sourhi>>4)&0x3ff] \
|
| 595 |
|
|
+DPD2BINM[DECCOMBMSD[sourhi>>26]];}
|
| 596 |
|
|
|
| 597 |
|
|
#endif
|
| 598 |
|
|
|
| 599 |
|
|
/* Macros to decode the coefficient in a finite decFloat *df into */
|
| 600 |
|
|
/* a base-thousand uInt array, with the least-significant 0-999 */
|
| 601 |
|
|
/* 'digit' at offset 0. */
|
| 602 |
|
|
|
| 603 |
|
|
/* Decode the declets. After extracting each one, it is decoded */
|
| 604 |
|
|
/* to binary using a table lookup. */
|
| 605 |
|
|
#if DECPMAX==7
|
| 606 |
|
|
#define GETCOEFFTHOU(df, buf) { \
|
| 607 |
|
|
uInt sourhi=DFWORD(df, 0); \
|
| 608 |
|
|
(buf)[0]=DPD2BIN[sourhi&0x3ff]; \
|
| 609 |
|
|
(buf)[1]=DPD2BIN[(sourhi>>10)&0x3ff]; \
|
| 610 |
|
|
(buf)[2]=DECCOMBMSD[sourhi>>26];}
|
| 611 |
|
|
|
| 612 |
|
|
#elif DECPMAX==16
|
| 613 |
|
|
#define GETCOEFFTHOU(df, buf) { \
|
| 614 |
|
|
uInt sourhi, sourlo; \
|
| 615 |
|
|
sourlo=DFWORD(df, 1); \
|
| 616 |
|
|
(buf)[0]=DPD2BIN[sourlo&0x3ff]; \
|
| 617 |
|
|
(buf)[1]=DPD2BIN[(sourlo>>10)&0x3ff]; \
|
| 618 |
|
|
(buf)[2]=DPD2BIN[(sourlo>>20)&0x3ff]; \
|
| 619 |
|
|
sourhi=DFWORD(df, 0); \
|
| 620 |
|
|
(buf)[3]=DPD2BIN[((sourhi<<2) | (sourlo>>30))&0x3ff]; \
|
| 621 |
|
|
(buf)[4]=DPD2BIN[(sourhi>>8)&0x3ff]; \
|
| 622 |
|
|
(buf)[5]=DECCOMBMSD[sourhi>>26];}
|
| 623 |
|
|
|
| 624 |
|
|
#elif DECPMAX==34
|
| 625 |
|
|
#define GETCOEFFTHOU(df, buf) { \
|
| 626 |
|
|
uInt sourhi, sourmh, sourml, sourlo; \
|
| 627 |
|
|
sourlo=DFWORD(df, 3); \
|
| 628 |
|
|
(buf)[0]=DPD2BIN[sourlo&0x3ff]; \
|
| 629 |
|
|
(buf)[1]=DPD2BIN[(sourlo>>10)&0x3ff]; \
|
| 630 |
|
|
(buf)[2]=DPD2BIN[(sourlo>>20)&0x3ff]; \
|
| 631 |
|
|
sourml=DFWORD(df, 2); \
|
| 632 |
|
|
(buf)[3]=DPD2BIN[((sourml<<2) | (sourlo>>30))&0x3ff]; \
|
| 633 |
|
|
(buf)[4]=DPD2BIN[(sourml>>8)&0x3ff]; \
|
| 634 |
|
|
(buf)[5]=DPD2BIN[(sourml>>18)&0x3ff]; \
|
| 635 |
|
|
sourmh=DFWORD(df, 1); \
|
| 636 |
|
|
(buf)[6]=DPD2BIN[((sourmh<<4) | (sourml>>28))&0x3ff]; \
|
| 637 |
|
|
(buf)[7]=DPD2BIN[(sourmh>>6)&0x3ff]; \
|
| 638 |
|
|
(buf)[8]=DPD2BIN[(sourmh>>16)&0x3ff]; \
|
| 639 |
|
|
sourhi=DFWORD(df, 0); \
|
| 640 |
|
|
(buf)[9]=DPD2BIN[((sourhi<<6) | (sourmh>>26))&0x3ff]; \
|
| 641 |
|
|
(buf)[10]=DPD2BIN[(sourhi>>4)&0x3ff]; \
|
| 642 |
|
|
(buf)[11]=DECCOMBMSD[sourhi>>26];}
|
| 643 |
|
|
|
| 644 |
|
|
#endif
|
| 645 |
|
|
|
| 646 |
|
|
/* Set a decFloat to the maximum positive finite number (Nmax) */
|
| 647 |
|
|
#if DECPMAX==7
|
| 648 |
|
|
#define DFSETNMAX(df) \
|
| 649 |
|
|
{DFWORD(df, 0)=0x77f3fcff;}
|
| 650 |
|
|
#elif DECPMAX==16
|
| 651 |
|
|
#define DFSETNMAX(df) \
|
| 652 |
|
|
{DFWORD(df, 0)=0x77fcff3f; \
|
| 653 |
|
|
DFWORD(df, 1)=0xcff3fcff;}
|
| 654 |
|
|
#elif DECPMAX==34
|
| 655 |
|
|
#define DFSETNMAX(df) \
|
| 656 |
|
|
{DFWORD(df, 0)=0x77ffcff3; \
|
| 657 |
|
|
DFWORD(df, 1)=0xfcff3fcf; \
|
| 658 |
|
|
DFWORD(df, 2)=0xf3fcff3f; \
|
| 659 |
|
|
DFWORD(df, 3)=0xcff3fcff;}
|
| 660 |
|
|
#endif
|
| 661 |
|
|
|
| 662 |
|
|
/* [end of format-dependent macros and constants] */
|
| 663 |
|
|
#endif
|
| 664 |
|
|
|
| 665 |
|
|
#else
|
| 666 |
|
|
#error decNumberLocal included more than once
|
| 667 |
|
|
#endif
|
