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726 lines
37 KiB
726 lines
37 KiB
// Copyright (C) 2016 and later: Unicode, Inc. and others.
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// License & terms of use: http://www.unicode.org/copyright.html
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/* ------------------------------------------------------------------ */
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/* decNumber package local type, tuning, and macro definitions */
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/* ------------------------------------------------------------------ */
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/* Copyright (c) IBM Corporation, 2000-2016. All rights reserved. */
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/* */
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/* This software is made available under the terms of the */
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/* ICU License -- ICU 1.8.1 and later. */
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/* */
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/* The description and User's Guide ("The decNumber C Library") for */
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/* this software is called decNumber.pdf. This document is */
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/* available, together with arithmetic and format specifications, */
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/* testcases, and Web links, on the General Decimal Arithmetic page. */
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/* */
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/* Please send comments, suggestions, and corrections to the author: */
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/* mfc@uk.ibm.com */
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/* Mike Cowlishaw, IBM Fellow */
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/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */
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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 3.61" /* 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 "decContext.h"
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/* Conditional code flag -- set this to match hardware platform */
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#if !defined(DECLITEND)
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#define DECLITEND 1 /* 1=little-endian, 0=big-endian */
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#endif
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/* Conditional code flag -- set this to 1 for best performance */
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#if !defined(DECUSE64)
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#define DECUSE64 1 /* 1=use int64s, 0=int32 & smaller only */
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#endif
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/* Conditional check flags -- set these to 0 for best performance */
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#if !defined(DECCHECK)
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#define DECCHECK 0 /* 1 to enable robust checking */
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#endif
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#if !defined(DECALLOC)
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#define DECALLOC 0 /* 1 to enable memory accounting */
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#endif
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#if !defined(DECTRACE)
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#define DECTRACE 0 /* 1 to trace certain internals, etc. */
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#endif
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/* Tuning parameter for decNumber (arbitrary precision) module */
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#if !defined(DECBUFFER)
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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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#endif
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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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/* or stdint types */
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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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/* 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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#define ROUNDUP4(i) (((i)+3)&~3) /* special for n=4 */
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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; these */
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/* require locally declared variables, but do not violate strict */
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/* aliasing or alignment (as did the UINTAT simple cast to uInt). */
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/* Variables needed are uswork, uiwork, etc. [so do not use at same */
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/* level in an expression, e.g., UBTOUI(x)==UBTOUI(y) may fail]. */
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/* Return a uInt, etc., from bytes starting at a char* or uByte* */
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#define UBTOUS(b) (memcpy((void *)&uswork, b, 2), uswork)
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#define UBTOUI(b) (memcpy((void *)&uiwork, b, 4), uiwork)
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/* Store a uInt, etc., into bytes starting at a char* or uByte*. */
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/* Returns i, evaluated, for convenience; has to use uiwork because */
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/* i may be an expression. */
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#define UBFROMUS(b, i) (uswork=(i), memcpy(b, (void *)&uswork, 2), uswork)
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#define UBFROMUI(b, i) (uiwork=(i), memcpy(b, (void *)&uiwork, 4), uiwork)
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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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/* ----- 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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/* 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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#define D2U(d) ((d)<=DECMAXD2U?d2utable[d]:((d)+DECDPUN-1)/DECDPUN)
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#endif
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/* SD2U -- static D2U macro (for compile-time calculation) */
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#define SD2U(d) (((d)+DECDPUN-1)/DECDPUN)
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/* MSUDIGITS -- returns digits in msu, from digits, calculated */
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/* using D2U */
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#define MSUDIGITS(d) ((d)-(D2U(d)-1)*DECDPUN)
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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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/* decNumber struct) safely. Note that one Unit is included in the */
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/* initial structure. Used for allocating space that is aligned on */
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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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/* 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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/* place it as an ASCII character into the character pointed to by */
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/* c. Note that cut must be <= 9, and the maximum value for u is */
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/* 2,000,000,000 (as is needed for negative exponents of */
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/* subnormals). The unsigned integer pow is used as a temporary */
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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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pow=DECPOWERS[cut]*2; \
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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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pow/=2; \
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} \
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if ((u)>=pow) {(u)-=pow; *(c)+=2;} \
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pow/=2; \
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if ((u)>=pow) {(u)-=pow; *(c)+=1;} \
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}
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/* ---------------------------------------------------------------- */
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/* Definitions for fixed-precision modules (only valid after */
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/* decSingle.h, decDouble.h, or decQuad.h has been included) */
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/* ---------------------------------------------------------------- */
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/* bcdnum -- a structure describing a format-independent finite */
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/* number, whose coefficient is a string of bcd8 uBytes */
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typedef struct {
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uByte *msd; /* -> most significant digit */
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uByte *lsd; /* -> least ditto */
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uInt sign; /* 0=positive, DECFLOAT_Sign=negative */
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Int exponent; /* Unadjusted signed exponent (q), or */
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/* DECFLOAT_NaN etc. for a special */
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} bcdnum;
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/* Test if exponent or bcdnum exponent must be a special, etc. */
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#define EXPISSPECIAL(exp) ((exp)>=DECFLOAT_MinSp)
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#define EXPISINF(exp) (exp==DECFLOAT_Inf)
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#define EXPISNAN(exp) (exp==DECFLOAT_qNaN || exp==DECFLOAT_sNaN)
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#define NUMISSPECIAL(num) (EXPISSPECIAL((num)->exponent))
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/* Refer to a 32-bit word or byte in a decFloat (df) by big-endian */
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/* (array) notation (the 0 word or byte contains the sign bit), */
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/* automatically adjusting for endianness; similarly address a word */
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/* in the next-wider format (decFloatWider, or dfw) */
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#define DECWORDS (DECBYTES/4)
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#define DECWWORDS (DECWBYTES/4)
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#if DECLITEND
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#define DFBYTE(df, off) ((df)->bytes[DECBYTES-1-(off)])
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#define DFWORD(df, off) ((df)->words[DECWORDS-1-(off)])
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#define DFWWORD(dfw, off) ((dfw)->words[DECWWORDS-1-(off)])
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#else
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#define DFBYTE(df, off) ((df)->bytes[off])
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#define DFWORD(df, off) ((df)->words[off])
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#define DFWWORD(dfw, off) ((dfw)->words[off])
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#endif
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/* Tests for sign or specials, directly on DECFLOATs */
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#define DFISSIGNED(df) (DFWORD(df, 0)&0x80000000)
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#define DFISSPECIAL(df) ((DFWORD(df, 0)&0x78000000)==0x78000000)
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#define DFISINF(df) ((DFWORD(df, 0)&0x7c000000)==0x78000000)
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#define DFISNAN(df) ((DFWORD(df, 0)&0x7c000000)==0x7c000000)
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#define DFISQNAN(df) ((DFWORD(df, 0)&0x7e000000)==0x7c000000)
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#define DFISSNAN(df) ((DFWORD(df, 0)&0x7e000000)==0x7e000000)
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/* Shared lookup tables */
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extern const uInt DECCOMBMSD[64]; /* Combination field -> MSD */
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extern const uInt DECCOMBFROM[48]; /* exp+msd -> Combination */
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/* Private generic (utility) routine */
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#if DECCHECK || DECTRACE
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extern void decShowNum(const bcdnum *, const char *);
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#endif
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/* Format-dependent macros and constants */
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#if defined(DECPMAX)
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/* Useful constants */
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#define DECPMAX9 (ROUNDUP(DECPMAX, 9)/9) /* 'Pmax' in 10**9s */
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/* Top words for a zero */
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#define SINGLEZERO 0x22500000
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#define DOUBLEZERO 0x22380000
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#define QUADZERO 0x22080000
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/* [ZEROWORD is defined to be one of these in the DFISZERO macro] */
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/* Format-dependent common tests: */
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/* DFISZERO -- test for (any) zero */
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/* DFISCCZERO -- test for coefficient continuation being zero */
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/* DFISCC01 -- test for coefficient contains only 0s and 1s */
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/* DFISINT -- test for finite and exponent q=0 */
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/* DFISUINT01 -- test for sign=0, finite, exponent q=0, and */
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/* MSD=0 or 1 */
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/* ZEROWORD is also defined here. */
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/* In DFISZERO the first test checks the least-significant word */
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/* (most likely to be non-zero); the penultimate tests MSD and */
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/* DPDs in the signword, and the final test excludes specials and */
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/* MSD>7. DFISINT similarly has to allow for the two forms of */
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/* MSD codes. DFISUINT01 only has to allow for one form of MSD */
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/* code. */
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#if DECPMAX==7
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#define ZEROWORD SINGLEZERO
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/* [test macros not needed except for Zero] */
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#define DFISZERO(df) ((DFWORD(df, 0)&0x1c0fffff)==0 \
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&& (DFWORD(df, 0)&0x60000000)!=0x60000000)
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#elif DECPMAX==16
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#define ZEROWORD DOUBLEZERO
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#define DFISZERO(df) ((DFWORD(df, 1)==0 \
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&& (DFWORD(df, 0)&0x1c03ffff)==0 \
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&& (DFWORD(df, 0)&0x60000000)!=0x60000000))
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#define DFISINT(df) ((DFWORD(df, 0)&0x63fc0000)==0x22380000 \
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||(DFWORD(df, 0)&0x7bfc0000)==0x6a380000)
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#define DFISUINT01(df) ((DFWORD(df, 0)&0xfbfc0000)==0x22380000)
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#define DFISCCZERO(df) (DFWORD(df, 1)==0 \
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&& (DFWORD(df, 0)&0x0003ffff)==0)
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#define DFISCC01(df) ((DFWORD(df, 0)&~0xfffc9124)==0 \
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&& (DFWORD(df, 1)&~0x49124491)==0)
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#elif DECPMAX==34
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#define ZEROWORD QUADZERO
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#define DFISZERO(df) ((DFWORD(df, 3)==0 \
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&& DFWORD(df, 2)==0 \
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&& DFWORD(df, 1)==0 \
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&& (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, starting at uByte u, is all zeros */
|
|
/* Test just the LSWord first, then the remainder as a sequence */
|
|
/* of tests in order to avoid same-level use of UBTOUI */
|
|
#if DECPMAX==7
|
|
#define ISCOEFFZERO(u) ( \
|
|
UBTOUI((u)+DECPMAX-4)==0 \
|
|
&& UBTOUS((u)+DECPMAX-6)==0 \
|
|
&& *(u)==0)
|
|
#elif DECPMAX==16
|
|
#define ISCOEFFZERO(u) ( \
|
|
UBTOUI((u)+DECPMAX-4)==0 \
|
|
&& UBTOUI((u)+DECPMAX-8)==0 \
|
|
&& UBTOUI((u)+DECPMAX-12)==0 \
|
|
&& UBTOUI(u)==0)
|
|
#elif DECPMAX==34
|
|
#define ISCOEFFZERO(u) ( \
|
|
UBTOUI((u)+DECPMAX-4)==0 \
|
|
&& UBTOUI((u)+DECPMAX-8)==0 \
|
|
&& UBTOUI((u)+DECPMAX-12)==0 \
|
|
&& UBTOUI((u)+DECPMAX-16)==0 \
|
|
&& UBTOUI((u)+DECPMAX-20)==0 \
|
|
&& UBTOUI((u)+DECPMAX-24)==0 \
|
|
&& UBTOUI((u)+DECPMAX-28)==0 \
|
|
&& UBTOUI((u)+DECPMAX-32)==0 \
|
|
&& UBTOUS(u)==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 least significant 10 bits 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 */
|
|
/* four bytes are moved at a time for speed; the alternative */
|
|
/* macro moves exactly three bytes (usually slower). */
|
|
#define dpd2bcd8(u, dpd) memcpy(u, &DPD2BCD8[((dpd)&0x3ff)*4], 4)
|
|
#define dpd2bcd83(u, dpd) memcpy(u, &DPD2BCD8[((dpd)&0x3ff)*4], 3)
|
|
|
|
/* 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 (of size DECLETS+1, to allow for */
|
|
/* the MSD), 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
|
|
|
|
|
|
/* Macros to decode the coefficient in a finite decFloat *df and */
|
|
/* add to a base-thousand uInt array (as for GETCOEFFTHOU). */
|
|
/* After the addition then most significant 'digit' in the array */
|
|
/* might have a value larger then 10 (with a maximum of 19). */
|
|
#if DECPMAX==7
|
|
#define ADDCOEFFTHOU(df, buf) { \
|
|
uInt sourhi=DFWORD(df, 0); \
|
|
(buf)[0]+=DPD2BIN[sourhi&0x3ff]; \
|
|
if (buf[0]>999) {buf[0]-=1000; buf[1]++;} \
|
|
(buf)[1]+=DPD2BIN[(sourhi>>10)&0x3ff]; \
|
|
if (buf[1]>999) {buf[1]-=1000; buf[2]++;} \
|
|
(buf)[2]+=DECCOMBMSD[sourhi>>26];}
|
|
|
|
#elif DECPMAX==16
|
|
#define ADDCOEFFTHOU(df, buf) { \
|
|
uInt sourhi, sourlo; \
|
|
sourlo=DFWORD(df, 1); \
|
|
(buf)[0]+=DPD2BIN[sourlo&0x3ff]; \
|
|
if (buf[0]>999) {buf[0]-=1000; buf[1]++;} \
|
|
(buf)[1]+=DPD2BIN[(sourlo>>10)&0x3ff]; \
|
|
if (buf[1]>999) {buf[1]-=1000; buf[2]++;} \
|
|
(buf)[2]+=DPD2BIN[(sourlo>>20)&0x3ff]; \
|
|
if (buf[2]>999) {buf[2]-=1000; buf[3]++;} \
|
|
sourhi=DFWORD(df, 0); \
|
|
(buf)[3]+=DPD2BIN[((sourhi<<2) | (sourlo>>30))&0x3ff]; \
|
|
if (buf[3]>999) {buf[3]-=1000; buf[4]++;} \
|
|
(buf)[4]+=DPD2BIN[(sourhi>>8)&0x3ff]; \
|
|
if (buf[4]>999) {buf[4]-=1000; buf[5]++;} \
|
|
(buf)[5]+=DECCOMBMSD[sourhi>>26];}
|
|
|
|
#elif DECPMAX==34
|
|
#define ADDCOEFFTHOU(df, buf) { \
|
|
uInt sourhi, sourmh, sourml, sourlo; \
|
|
sourlo=DFWORD(df, 3); \
|
|
(buf)[0]+=DPD2BIN[sourlo&0x3ff]; \
|
|
if (buf[0]>999) {buf[0]-=1000; buf[1]++;} \
|
|
(buf)[1]+=DPD2BIN[(sourlo>>10)&0x3ff]; \
|
|
if (buf[1]>999) {buf[1]-=1000; buf[2]++;} \
|
|
(buf)[2]+=DPD2BIN[(sourlo>>20)&0x3ff]; \
|
|
if (buf[2]>999) {buf[2]-=1000; buf[3]++;} \
|
|
sourml=DFWORD(df, 2); \
|
|
(buf)[3]+=DPD2BIN[((sourml<<2) | (sourlo>>30))&0x3ff]; \
|
|
if (buf[3]>999) {buf[3]-=1000; buf[4]++;} \
|
|
(buf)[4]+=DPD2BIN[(sourml>>8)&0x3ff]; \
|
|
if (buf[4]>999) {buf[4]-=1000; buf[5]++;} \
|
|
(buf)[5]+=DPD2BIN[(sourml>>18)&0x3ff]; \
|
|
if (buf[5]>999) {buf[5]-=1000; buf[6]++;} \
|
|
sourmh=DFWORD(df, 1); \
|
|
(buf)[6]+=DPD2BIN[((sourmh<<4) | (sourml>>28))&0x3ff]; \
|
|
if (buf[6]>999) {buf[6]-=1000; buf[7]++;} \
|
|
(buf)[7]+=DPD2BIN[(sourmh>>6)&0x3ff]; \
|
|
if (buf[7]>999) {buf[7]-=1000; buf[8]++;} \
|
|
(buf)[8]+=DPD2BIN[(sourmh>>16)&0x3ff]; \
|
|
if (buf[8]>999) {buf[8]-=1000; buf[9]++;} \
|
|
sourhi=DFWORD(df, 0); \
|
|
(buf)[9]+=DPD2BIN[((sourhi<<6) | (sourmh>>26))&0x3ff]; \
|
|
if (buf[9]>999) {buf[9]-=1000; buf[10]++;} \
|
|
(buf)[10]+=DPD2BIN[(sourhi>>4)&0x3ff]; \
|
|
if (buf[10]>999) {buf[10]-=1000; buf[11]++;} \
|
|
(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
|
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#define DFSETNMAX(df) \
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{DFWORD(df, 0)=0x77ffcff3; \
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DFWORD(df, 1)=0xfcff3fcf; \
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DFWORD(df, 2)=0xf3fcff3f; \
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DFWORD(df, 3)=0xcff3fcff;}
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#endif
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/* [end of format-dependent macros and constants] */
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#endif
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#else
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#error decNumberLocal included more than once
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#endif
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