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199 lines
13 KiB
199 lines
13 KiB
// © 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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/* Decimal Number arithmetic module header */
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/* ------------------------------------------------------------------ */
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/* Copyright (c) IBM Corporation, 2000-2010. 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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/* Modified version, for use from within ICU.
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* Renamed public functions, to avoid an unwanted export of the
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* standard names from the ICU library.
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*
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* Use ICU's uprv_malloc() and uprv_free()
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*
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* Revert comment syntax to plain C
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*
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* Remove a few compiler warnings.
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*/
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#if !defined(DECNUMBER)
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#define DECNUMBER
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#define DECNAME "decNumber" /* Short name */
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#define DECFULLNAME "Decimal Number Module" /* Verbose name */
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#define DECAUTHOR "Mike Cowlishaw" /* Who to blame */
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#if !defined(DECCONTEXT)
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#include "decContext.h"
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#endif
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/* Bit settings for decNumber.bits */
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#define DECNEG 0x80 /* Sign; 1=negative, 0=positive or zero */
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#define DECINF 0x40 /* 1=Infinity */
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#define DECNAN 0x20 /* 1=NaN */
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#define DECSNAN 0x10 /* 1=sNaN */
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/* The remaining bits are reserved; they must be 0 */
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#define DECSPECIAL (DECINF|DECNAN|DECSNAN) /* any special value */
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/* Define the decNumber data structure. The size and shape of the */
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/* units array in the structure is determined by the following */
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/* constant. This must not be changed without recompiling the */
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/* decNumber library modules. */
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/* For ICU, use one digit per byte, to make it easier to emulate the
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* old DigitList interface on top of a decNumber
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*/
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#define DECDPUN 1 /* DECimal Digits Per UNit [must be >0 */
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/* and <10; 3 or powers of 2 are best]. */
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/* DECNUMDIGITS is the default number of digits that can be held in */
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/* the structure. If undefined, 1 is assumed and it is assumed */
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/* that the structure will be immediately followed by extra space, */
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/* as required. DECNUMDIGITS is always >0. */
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#if !defined(DECNUMDIGITS)
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#define DECNUMDIGITS 1
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#endif
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/* The size (integer data type) of each unit is determined by the */
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/* number of digits it will hold. */
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#if DECDPUN<=2
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#define decNumberUnit uint8_t
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#elif DECDPUN<=4
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#define decNumberUnit uint16_t
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#else
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#define decNumberUnit uint32_t
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#endif
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/* The number of units needed is ceil(DECNUMDIGITS/DECDPUN) */
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#define DECNUMUNITS ((DECNUMDIGITS+DECDPUN-1)/DECDPUN)
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/* The data structure... */
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typedef struct {
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int32_t digits; /* Count of digits in the coefficient; >0 */
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int32_t exponent; /* Unadjusted exponent, unbiased, in */
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/* range: -1999999997 through 999999999 */
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uint8_t bits; /* Indicator bits (see above) */
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/* Coefficient, from least significant unit */
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decNumberUnit lsu[DECNUMUNITS];
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} decNumber;
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/* Notes: */
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/* 1. If digits is > DECDPUN then there will one or more */
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/* decNumberUnits immediately following the first element of lsu.*/
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/* These contain the remaining (more significant) digits of the */
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/* number, and may be in the lsu array, or may be guaranteed by */
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/* some other mechanism (such as being contained in another */
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/* structure, or being overlaid on dynamically allocated */
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/* storage). */
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/* */
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/* Each integer of the coefficient (except potentially the last) */
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/* contains DECDPUN digits (e.g., a value in the range 0 through */
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/* 99999999 if DECDPUN is 8, or 0 through 999 if DECDPUN is 3). */
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/* */
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/* 2. A decNumber converted to a string may need up to digits+14 */
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/* characters. The worst cases (non-exponential and exponential */
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/* formats) are -0.00000{9...}# and -9.{9...}E+999999999# */
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/* (where # is '\0') */
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/* ---------------------------------------------------------------- */
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/* decNumber public functions and macros */
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/* ---------------------------------------------------------------- */
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/* Conversions */
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U_CAPI decNumber * U_EXPORT2 uprv_decNumberFromInt32(decNumber *, int32_t);
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U_CAPI decNumber * U_EXPORT2 uprv_decNumberFromUInt32(decNumber *, uint32_t);
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U_CAPI decNumber * U_EXPORT2 uprv_decNumberFromString(decNumber *, const char *, decContext *);
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U_CAPI char * U_EXPORT2 uprv_decNumberToString(const decNumber *, char *);
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U_CAPI char * U_EXPORT2 uprv_decNumberToEngString(const decNumber *, char *);
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U_CAPI uint32_t U_EXPORT2 uprv_decNumberToUInt32(const decNumber *, decContext *);
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U_CAPI int32_t U_EXPORT2 uprv_decNumberToInt32(const decNumber *, decContext *);
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U_CAPI uint8_t * U_EXPORT2 uprv_decNumberGetBCD(const decNumber *, uint8_t *);
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U_CAPI decNumber * U_EXPORT2 uprv_decNumberSetBCD(decNumber *, const uint8_t *, uint32_t);
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/* Operators and elementary functions */
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U_CAPI decNumber * U_EXPORT2 uprv_decNumberAbs(decNumber *, const decNumber *, decContext *);
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U_CAPI decNumber * U_EXPORT2 uprv_decNumberAdd(decNumber *, const decNumber *, const decNumber *, decContext *);
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U_CAPI decNumber * U_EXPORT2 uprv_decNumberAnd(decNumber *, const decNumber *, const decNumber *, decContext *);
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U_CAPI decNumber * U_EXPORT2 uprv_decNumberCompare(decNumber *, const decNumber *, const decNumber *, decContext *);
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U_CAPI decNumber * U_EXPORT2 uprv_decNumberCompareSignal(decNumber *, const decNumber *, const decNumber *, decContext *);
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U_CAPI decNumber * U_EXPORT2 uprv_decNumberCompareTotal(decNumber *, const decNumber *, const decNumber *, decContext *);
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U_CAPI decNumber * U_EXPORT2 uprv_decNumberCompareTotalMag(decNumber *, const decNumber *, const decNumber *, decContext *);
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U_CAPI decNumber * U_EXPORT2 uprv_decNumberDivide(decNumber *, const decNumber *, const decNumber *, decContext *);
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U_CAPI decNumber * U_EXPORT2 uprv_decNumberDivideInteger(decNumber *, const decNumber *, const decNumber *, decContext *);
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U_CAPI decNumber * U_EXPORT2 uprv_decNumberExp(decNumber *, const decNumber *, decContext *);
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U_CAPI decNumber * U_EXPORT2 uprv_decNumberFMA(decNumber *, const decNumber *, const decNumber *, const decNumber *, decContext *);
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U_CAPI decNumber * U_EXPORT2 uprv_decNumberInvert(decNumber *, const decNumber *, decContext *);
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U_CAPI decNumber * U_EXPORT2 uprv_decNumberLn(decNumber *, const decNumber *, decContext *);
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U_CAPI decNumber * U_EXPORT2 uprv_decNumberLogB(decNumber *, const decNumber *, decContext *);
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U_CAPI decNumber * U_EXPORT2 uprv_decNumberLog10(decNumber *, const decNumber *, decContext *);
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U_CAPI decNumber * U_EXPORT2 uprv_decNumberMax(decNumber *, const decNumber *, const decNumber *, decContext *);
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U_CAPI decNumber * U_EXPORT2 uprv_decNumberMaxMag(decNumber *, const decNumber *, const decNumber *, decContext *);
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U_CAPI decNumber * U_EXPORT2 uprv_decNumberMin(decNumber *, const decNumber *, const decNumber *, decContext *);
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U_CAPI decNumber * U_EXPORT2 uprv_decNumberMinMag(decNumber *, const decNumber *, const decNumber *, decContext *);
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U_CAPI decNumber * U_EXPORT2 uprv_decNumberMinus(decNumber *, const decNumber *, decContext *);
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U_CAPI decNumber * U_EXPORT2 uprv_decNumberMultiply(decNumber *, const decNumber *, const decNumber *, decContext *);
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U_CAPI decNumber * U_EXPORT2 uprv_decNumberNormalize(decNumber *, const decNumber *, decContext *);
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U_CAPI decNumber * U_EXPORT2 uprv_decNumberOr(decNumber *, const decNumber *, const decNumber *, decContext *);
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U_CAPI decNumber * U_EXPORT2 uprv_decNumberPlus(decNumber *, const decNumber *, decContext *);
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U_CAPI decNumber * U_EXPORT2 uprv_decNumberPower(decNumber *, const decNumber *, const decNumber *, decContext *);
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U_CAPI decNumber * U_EXPORT2 uprv_decNumberQuantize(decNumber *, const decNumber *, const decNumber *, decContext *);
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U_CAPI decNumber * U_EXPORT2 uprv_decNumberReduce(decNumber *, const decNumber *, decContext *);
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U_CAPI decNumber * U_EXPORT2 uprv_decNumberRemainder(decNumber *, const decNumber *, const decNumber *, decContext *);
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U_CAPI decNumber * U_EXPORT2 uprv_decNumberRemainderNear(decNumber *, const decNumber *, const decNumber *, decContext *);
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U_CAPI decNumber * U_EXPORT2 uprv_decNumberRescale(decNumber *, const decNumber *, const decNumber *, decContext *);
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U_CAPI decNumber * U_EXPORT2 uprv_decNumberRotate(decNumber *, const decNumber *, const decNumber *, decContext *);
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U_CAPI decNumber * U_EXPORT2 uprv_decNumberSameQuantum(decNumber *, const decNumber *, const decNumber *);
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U_CAPI decNumber * U_EXPORT2 uprv_decNumberScaleB(decNumber *, const decNumber *, const decNumber *, decContext *);
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U_CAPI decNumber * U_EXPORT2 uprv_decNumberShift(decNumber *, const decNumber *, const decNumber *, decContext *);
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U_CAPI decNumber * U_EXPORT2 uprv_decNumberSquareRoot(decNumber *, const decNumber *, decContext *);
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U_CAPI decNumber * U_EXPORT2 uprv_decNumberSubtract(decNumber *, const decNumber *, const decNumber *, decContext *);
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U_CAPI decNumber * U_EXPORT2 uprv_decNumberToIntegralExact(decNumber *, const decNumber *, decContext *);
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U_CAPI decNumber * U_EXPORT2 uprv_decNumberToIntegralValue(decNumber *, const decNumber *, decContext *);
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U_CAPI decNumber * U_EXPORT2 uprv_decNumberXor(decNumber *, const decNumber *, const decNumber *, decContext *);
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/* Utilities */
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enum decClass uprv_decNumberClass(const decNumber *, decContext *);
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U_CAPI const char * U_EXPORT2 uprv_decNumberClassToString(enum decClass);
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U_CAPI decNumber * U_EXPORT2 uprv_decNumberCopy(decNumber *, const decNumber *);
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U_CAPI decNumber * U_EXPORT2 uprv_decNumberCopyAbs(decNumber *, const decNumber *);
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U_CAPI decNumber * U_EXPORT2 uprv_decNumberCopyNegate(decNumber *, const decNumber *);
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U_CAPI decNumber * U_EXPORT2 uprv_decNumberCopySign(decNumber *, const decNumber *, const decNumber *);
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U_CAPI decNumber * U_EXPORT2 uprv_decNumberNextMinus(decNumber *, const decNumber *, decContext *);
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U_CAPI decNumber * U_EXPORT2 uprv_decNumberNextPlus(decNumber *, const decNumber *, decContext *);
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U_CAPI decNumber * U_EXPORT2 uprv_decNumberNextToward(decNumber *, const decNumber *, const decNumber *, decContext *);
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U_CAPI decNumber * U_EXPORT2 uprv_decNumberTrim(decNumber *);
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U_CAPI const char * U_EXPORT2 uprv_decNumberVersion(void);
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U_CAPI decNumber * U_EXPORT2 uprv_decNumberZero(decNumber *);
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/* Functions for testing decNumbers (normality depends on context) */
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U_CAPI int32_t U_EXPORT2 uprv_decNumberIsNormal(const decNumber *, decContext *);
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U_CAPI int32_t U_EXPORT2 uprv_decNumberIsSubnormal(const decNumber *, decContext *);
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/* Macros for testing decNumber *dn */
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#define decNumberIsCanonical(dn) (1) /* All decNumbers are saintly */
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#define decNumberIsFinite(dn) (((dn)->bits&DECSPECIAL)==0)
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#define decNumberIsInfinite(dn) (((dn)->bits&DECINF)!=0)
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#define decNumberIsNaN(dn) (((dn)->bits&(DECNAN|DECSNAN))!=0)
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#define decNumberIsNegative(dn) (((dn)->bits&DECNEG)!=0)
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#define decNumberIsQNaN(dn) (((dn)->bits&(DECNAN))!=0)
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#define decNumberIsSNaN(dn) (((dn)->bits&(DECSNAN))!=0)
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#define decNumberIsSpecial(dn) (((dn)->bits&DECSPECIAL)!=0)
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#define decNumberIsZero(dn) (*(dn)->lsu==0 \
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&& (dn)->digits==1 \
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&& (((dn)->bits&DECSPECIAL)==0))
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#define decNumberRadix(dn) (10)
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#endif
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