// © 2016 and later: Unicode, Inc. and others.
// License & terms of use: http://www.unicode.org/copyright.html
/* ------------------------------------------------------------------ */
/* Decimal Number arithmetic module header */
/* ------------------------------------------------------------------ */
/* Copyright (c) IBM Corporation, 2000-2010. All rights reserved. */
/* */
/* This software is made available under the terms of the */
/* ICU License -- ICU 1.8.1 and later. */
/* */
/* The description and User's Guide ("The decNumber C Library") for */
/* this software is called decNumber.pdf. This document is */
/* available, together with arithmetic and format specifications, */
/* testcases, and Web links, on the General Decimal Arithmetic page. */
/* */
/* Please send comments, suggestions, and corrections to the author: */
/* mfc@uk.ibm.com */
/* Mike Cowlishaw, IBM Fellow */
/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */
/* ------------------------------------------------------------------ */
/* Modified version, for use from within ICU.
* Renamed public functions, to avoid an unwanted export of the
* standard names from the ICU library.
*
* Use ICU's uprv_malloc() and uprv_free()
*
* Revert comment syntax to plain C
*
* Remove a few compiler warnings.
*/
#if !defined(DECNUMBER)
#define DECNUMBER
#define DECNAME "decNumber" /* Short name */
#define DECFULLNAME "Decimal Number Module" /* Verbose name */
#define DECAUTHOR "Mike Cowlishaw" /* Who to blame */
#if !defined(DECCONTEXT)
#include "decContext.h"
#endif
/* Bit settings for decNumber.bits */
#define DECNEG 0x80 /* Sign; 1=negative, 0=positive or zero */
#define DECINF 0x40 /* 1=Infinity */
#define DECNAN 0x20 /* 1=NaN */
#define DECSNAN 0x10 /* 1=sNaN */
/* The remaining bits are reserved; they must be 0 */
#define DECSPECIAL (DECINF|DECNAN|DECSNAN) /* any special value */
/* Define the decNumber data structure. The size and shape of the */
/* units array in the structure is determined by the following */
/* constant. This must not be changed without recompiling the */
/* decNumber library modules. */
/* For ICU, use one digit per byte, to make it easier to emulate the
* old DigitList interface on top of a decNumber
*/
#define DECDPUN 1 /* DECimal Digits Per UNit [must be >0 */
/* and <10; 3 or powers of 2 are best]. */
/* DECNUMDIGITS is the default number of digits that can be held in */
/* the structure. If undefined, 1 is assumed and it is assumed */
/* that the structure will be immediately followed by extra space, */
/* as required. DECNUMDIGITS is always >0. */
#if !defined(DECNUMDIGITS)
#define DECNUMDIGITS 1
#endif
/* The size (integer data type) of each unit is determined by the */
/* number of digits it will hold. */
#if DECDPUN<=2
#define decNumberUnit uint8_t
#elif DECDPUN<=4
#define decNumberUnit uint16_t
#else
#define decNumberUnit uint32_t
#endif
/* The number of units needed is ceil(DECNUMDIGITS/DECDPUN) */
#define DECNUMUNITS ((DECNUMDIGITS+DECDPUN-1)/DECDPUN)
/* The data structure... */
typedef struct {
int32_t digits; /* Count of digits in the coefficient; >0 */
int32_t exponent; /* Unadjusted exponent, unbiased, in */
/* range: -1999999997 through 999999999 */
uint8_t bits; /* Indicator bits (see above) */
/* Coefficient, from least significant unit */
decNumberUnit lsu[DECNUMUNITS];
} decNumber;
/* Notes: */
/* 1. If digits is > DECDPUN then there will one or more */
/* decNumberUnits immediately following the first element of lsu.*/
/* These contain the remaining (more significant) digits of the */
/* number, and may be in the lsu array, or may be guaranteed by */
/* some other mechanism (such as being contained in another */
/* structure, or being overlaid on dynamically allocated */
/* storage). */
/* */
/* Each integer of the coefficient (except potentially the last) */
/* contains DECDPUN digits (e.g., a value in the range 0 through */
/* 99999999 if DECDPUN is 8, or 0 through 999 if DECDPUN is 3). */
/* */
/* 2. A decNumber converted to a string may need up to digits+14 */
/* characters. The worst cases (non-exponential and exponential */
/* formats) are -0.00000{9...}# and -9.{9...}E+999999999# */
/* (where # is '\0') */
/* ---------------------------------------------------------------- */
/* decNumber public functions and macros */
/* ---------------------------------------------------------------- */
/* Conversions */
U_INTERNAL decNumber * U_EXPORT2 uprv_decNumberFromInt32(decNumber *, int32_t);
U_INTERNAL decNumber * U_EXPORT2 uprv_decNumberFromUInt32(decNumber *, uint32_t);
U_INTERNAL decNumber * U_EXPORT2 uprv_decNumberFromString(decNumber *, const char *, decContext *);
U_INTERNAL char * U_EXPORT2 uprv_decNumberToString(const decNumber *, char *);
U_INTERNAL char * U_EXPORT2 uprv_decNumberToEngString(const decNumber *, char *);
U_INTERNAL uint32_t U_EXPORT2 uprv_decNumberToUInt32(const decNumber *, decContext *);
U_INTERNAL int32_t U_EXPORT2 uprv_decNumberToInt32(const decNumber *, decContext *);
U_INTERNAL uint8_t * U_EXPORT2 uprv_decNumberGetBCD(const decNumber *, uint8_t *);
U_INTERNAL decNumber * U_EXPORT2 uprv_decNumberSetBCD(decNumber *, const uint8_t *, uint32_t);
/* Operators and elementary functions */
U_INTERNAL decNumber * U_EXPORT2 uprv_decNumberAbs(decNumber *, const decNumber *, decContext *);
U_INTERNAL decNumber * U_EXPORT2 uprv_decNumberAdd(decNumber *, const decNumber *, const decNumber *, decContext *);
U_INTERNAL decNumber * U_EXPORT2 uprv_decNumberAnd(decNumber *, const decNumber *, const decNumber *, decContext *);
U_INTERNAL decNumber * U_EXPORT2 uprv_decNumberCompare(decNumber *, const decNumber *, const decNumber *, decContext *);
U_INTERNAL decNumber * U_EXPORT2 uprv_decNumberCompareSignal(decNumber *, const decNumber *, const decNumber *, decContext *);
U_INTERNAL decNumber * U_EXPORT2 uprv_decNumberCompareTotal(decNumber *, const decNumber *, const decNumber *, decContext *);
U_INTERNAL decNumber * U_EXPORT2 uprv_decNumberCompareTotalMag(decNumber *, const decNumber *, const decNumber *, decContext *);
U_INTERNAL decNumber * U_EXPORT2 uprv_decNumberDivide(decNumber *, const decNumber *, const decNumber *, decContext *);
U_INTERNAL decNumber * U_EXPORT2 uprv_decNumberDivideInteger(decNumber *, const decNumber *, const decNumber *, decContext *);
U_INTERNAL decNumber * U_EXPORT2 uprv_decNumberExp(decNumber *, const decNumber *, decContext *);
U_INTERNAL decNumber * U_EXPORT2 uprv_decNumberFMA(decNumber *, const decNumber *, const decNumber *, const decNumber *, decContext *);
U_INTERNAL decNumber * U_EXPORT2 uprv_decNumberInvert(decNumber *, const decNumber *, decContext *);
U_INTERNAL decNumber * U_EXPORT2 uprv_decNumberLn(decNumber *, const decNumber *, decContext *);
U_INTERNAL decNumber * U_EXPORT2 uprv_decNumberLogB(decNumber *, const decNumber *, decContext *);
U_INTERNAL decNumber * U_EXPORT2 uprv_decNumberLog10(decNumber *, const decNumber *, decContext *);
U_INTERNAL decNumber * U_EXPORT2 uprv_decNumberMax(decNumber *, const decNumber *, const decNumber *, decContext *);
U_INTERNAL decNumber * U_EXPORT2 uprv_decNumberMaxMag(decNumber *, const decNumber *, const decNumber *, decContext *);
U_INTERNAL decNumber * U_EXPORT2 uprv_decNumberMin(decNumber *, const decNumber *, const decNumber *, decContext *);
U_INTERNAL decNumber * U_EXPORT2 uprv_decNumberMinMag(decNumber *, const decNumber *, const decNumber *, decContext *);
U_INTERNAL decNumber * U_EXPORT2 uprv_decNumberMinus(decNumber *, const decNumber *, decContext *);
U_INTERNAL decNumber * U_EXPORT2 uprv_decNumberMultiply(decNumber *, const decNumber *, const decNumber *, decContext *);
U_INTERNAL decNumber * U_EXPORT2 uprv_decNumberNormalize(decNumber *, const decNumber *, decContext *);
U_INTERNAL decNumber * U_EXPORT2 uprv_decNumberOr(decNumber *, const decNumber *, const decNumber *, decContext *);
U_INTERNAL decNumber * U_EXPORT2 uprv_decNumberPlus(decNumber *, const decNumber *, decContext *);
U_INTERNAL decNumber * U_EXPORT2 uprv_decNumberPower(decNumber *, const decNumber *, const decNumber *, decContext *);
U_INTERNAL decNumber * U_EXPORT2 uprv_decNumberQuantize(decNumber *, const decNumber *, const decNumber *, decContext *);
U_INTERNAL decNumber * U_EXPORT2 uprv_decNumberReduce(decNumber *, const decNumber *, decContext *);
U_INTERNAL decNumber * U_EXPORT2 uprv_decNumberRemainder(decNumber *, const decNumber *, const decNumber *, decContext *);
U_INTERNAL decNumber * U_EXPORT2 uprv_decNumberRemainderNear(decNumber *, const decNumber *, const decNumber *, decContext *);
U_INTERNAL decNumber * U_EXPORT2 uprv_decNumberRescale(decNumber *, const decNumber *, const decNumber *, decContext *);
U_INTERNAL decNumber * U_EXPORT2 uprv_decNumberRotate(decNumber *, const decNumber *, const decNumber *, decContext *);
U_INTERNAL decNumber * U_EXPORT2 uprv_decNumberSameQuantum(decNumber *, const decNumber *, const decNumber *);
U_INTERNAL decNumber * U_EXPORT2 uprv_decNumberScaleB(decNumber *, const decNumber *, const decNumber *, decContext *);
U_INTERNAL decNumber * U_EXPORT2 uprv_decNumberShift(decNumber *, const decNumber *, const decNumber *, decContext *);
U_INTERNAL decNumber * U_EXPORT2 uprv_decNumberSquareRoot(decNumber *, const decNumber *, decContext *);
U_INTERNAL decNumber * U_EXPORT2 uprv_decNumberSubtract(decNumber *, const decNumber *, const decNumber *, decContext *);
U_INTERNAL decNumber * U_EXPORT2 uprv_decNumberToIntegralExact(decNumber *, const decNumber *, decContext *);
U_INTERNAL decNumber * U_EXPORT2 uprv_decNumberToIntegralValue(decNumber *, const decNumber *, decContext *);
U_INTERNAL decNumber * U_EXPORT2 uprv_decNumberXor(decNumber *, const decNumber *, const decNumber *, decContext *);
/* Utilities */
enum decClass uprv_decNumberClass(const decNumber *, decContext *);
U_INTERNAL const char * U_EXPORT2 uprv_decNumberClassToString(enum decClass);
U_INTERNAL decNumber * U_EXPORT2 uprv_decNumberCopy(decNumber *, const decNumber *);
U_INTERNAL decNumber * U_EXPORT2 uprv_decNumberCopyAbs(decNumber *, const decNumber *);
U_INTERNAL decNumber * U_EXPORT2 uprv_decNumberCopyNegate(decNumber *, const decNumber *);
U_INTERNAL decNumber * U_EXPORT2 uprv_decNumberCopySign(decNumber *, const decNumber *, const decNumber *);
U_INTERNAL decNumber * U_EXPORT2 uprv_decNumberNextMinus(decNumber *, const decNumber *, decContext *);
U_INTERNAL decNumber * U_EXPORT2 uprv_decNumberNextPlus(decNumber *, const decNumber *, decContext *);
U_INTERNAL decNumber * U_EXPORT2 uprv_decNumberNextToward(decNumber *, const decNumber *, const decNumber *, decContext *);
U_INTERNAL decNumber * U_EXPORT2 uprv_decNumberTrim(decNumber *);
U_INTERNAL const char * U_EXPORT2 uprv_decNumberVersion(void);
U_INTERNAL decNumber * U_EXPORT2 uprv_decNumberZero(decNumber *);
/* Functions for testing decNumbers (normality depends on context) */
U_INTERNAL int32_t U_EXPORT2 uprv_decNumberIsNormal(const decNumber *, decContext *);
U_INTERNAL int32_t U_EXPORT2 uprv_decNumberIsSubnormal(const decNumber *, decContext *);
/* Macros for testing decNumber *dn */
#define decNumberIsCanonical(dn) (1) /* All decNumbers are saintly */
#define decNumberIsFinite(dn) (((dn)->bits&DECSPECIAL)==0)
#define decNumberIsInfinite(dn) (((dn)->bits&DECINF)!=0)
#define decNumberIsNaN(dn) (((dn)->bits&(DECNAN|DECSNAN))!=0)
#define decNumberIsNegative(dn) (((dn)->bits&DECNEG)!=0)
#define decNumberIsQNaN(dn) (((dn)->bits&(DECNAN))!=0)
#define decNumberIsSNaN(dn) (((dn)->bits&(DECSNAN))!=0)
#define decNumberIsSpecial(dn) (((dn)->bits&DECSPECIAL)!=0)
#define decNumberIsZero(dn) (*(dn)->lsu==0 \
&& (dn)->digits==1 \
&& (((dn)->bits&DECSPECIAL)==0))
#define decNumberRadix(dn) (10)
#endif