1*0e209d39SAndroid Build Coastguard Worker // © 2016 and later: Unicode, Inc. and others. 2*0e209d39SAndroid Build Coastguard Worker // License & terms of use: http://www.unicode.org/copyright.html 3*0e209d39SAndroid Build Coastguard Worker /* ------------------------------------------------------------------ */ 4*0e209d39SAndroid Build Coastguard Worker /* Decimal Number arithmetic module header */ 5*0e209d39SAndroid Build Coastguard Worker /* ------------------------------------------------------------------ */ 6*0e209d39SAndroid Build Coastguard Worker /* Copyright (c) IBM Corporation, 2000-2010. All rights reserved. */ 7*0e209d39SAndroid Build Coastguard Worker /* */ 8*0e209d39SAndroid Build Coastguard Worker /* This software is made available under the terms of the */ 9*0e209d39SAndroid Build Coastguard Worker /* ICU License -- ICU 1.8.1 and later. */ 10*0e209d39SAndroid Build Coastguard Worker /* */ 11*0e209d39SAndroid Build Coastguard Worker /* The description and User's Guide ("The decNumber C Library") for */ 12*0e209d39SAndroid Build Coastguard Worker /* this software is called decNumber.pdf. This document is */ 13*0e209d39SAndroid Build Coastguard Worker /* available, together with arithmetic and format specifications, */ 14*0e209d39SAndroid Build Coastguard Worker /* testcases, and Web links, on the General Decimal Arithmetic page. */ 15*0e209d39SAndroid Build Coastguard Worker /* */ 16*0e209d39SAndroid Build Coastguard Worker /* Please send comments, suggestions, and corrections to the author: */ 17*0e209d39SAndroid Build Coastguard Worker /* [email protected] */ 18*0e209d39SAndroid Build Coastguard Worker /* Mike Cowlishaw, IBM Fellow */ 19*0e209d39SAndroid Build Coastguard Worker /* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */ 20*0e209d39SAndroid Build Coastguard Worker /* ------------------------------------------------------------------ */ 21*0e209d39SAndroid Build Coastguard Worker 22*0e209d39SAndroid Build Coastguard Worker /* Modified version, for use from within ICU. 23*0e209d39SAndroid Build Coastguard Worker * Renamed public functions, to avoid an unwanted export of the 24*0e209d39SAndroid Build Coastguard Worker * standard names from the ICU library. 25*0e209d39SAndroid Build Coastguard Worker * 26*0e209d39SAndroid Build Coastguard Worker * Use ICU's uprv_malloc() and uprv_free() 27*0e209d39SAndroid Build Coastguard Worker * 28*0e209d39SAndroid Build Coastguard Worker * Revert comment syntax to plain C 29*0e209d39SAndroid Build Coastguard Worker * 30*0e209d39SAndroid Build Coastguard Worker * Remove a few compiler warnings. 31*0e209d39SAndroid Build Coastguard Worker */ 32*0e209d39SAndroid Build Coastguard Worker 33*0e209d39SAndroid Build Coastguard Worker #if !defined(DECNUMBER) 34*0e209d39SAndroid Build Coastguard Worker #define DECNUMBER 35*0e209d39SAndroid Build Coastguard Worker #define DECNAME "decNumber" /* Short name */ 36*0e209d39SAndroid Build Coastguard Worker #define DECFULLNAME "Decimal Number Module" /* Verbose name */ 37*0e209d39SAndroid Build Coastguard Worker #define DECAUTHOR "Mike Cowlishaw" /* Who to blame */ 38*0e209d39SAndroid Build Coastguard Worker 39*0e209d39SAndroid Build Coastguard Worker #if !defined(DECCONTEXT) 40*0e209d39SAndroid Build Coastguard Worker #include "decContext.h" 41*0e209d39SAndroid Build Coastguard Worker #endif 42*0e209d39SAndroid Build Coastguard Worker 43*0e209d39SAndroid Build Coastguard Worker /* Bit settings for decNumber.bits */ 44*0e209d39SAndroid Build Coastguard Worker #define DECNEG 0x80 /* Sign; 1=negative, 0=positive or zero */ 45*0e209d39SAndroid Build Coastguard Worker #define DECINF 0x40 /* 1=Infinity */ 46*0e209d39SAndroid Build Coastguard Worker #define DECNAN 0x20 /* 1=NaN */ 47*0e209d39SAndroid Build Coastguard Worker #define DECSNAN 0x10 /* 1=sNaN */ 48*0e209d39SAndroid Build Coastguard Worker /* The remaining bits are reserved; they must be 0 */ 49*0e209d39SAndroid Build Coastguard Worker #define DECSPECIAL (DECINF|DECNAN|DECSNAN) /* any special value */ 50*0e209d39SAndroid Build Coastguard Worker 51*0e209d39SAndroid Build Coastguard Worker /* Define the decNumber data structure. The size and shape of the */ 52*0e209d39SAndroid Build Coastguard Worker /* units array in the structure is determined by the following */ 53*0e209d39SAndroid Build Coastguard Worker /* constant. This must not be changed without recompiling the */ 54*0e209d39SAndroid Build Coastguard Worker /* decNumber library modules. */ 55*0e209d39SAndroid Build Coastguard Worker 56*0e209d39SAndroid Build Coastguard Worker /* For ICU, use one digit per byte, to make it easier to emulate the 57*0e209d39SAndroid Build Coastguard Worker * old DigitList interface on top of a decNumber 58*0e209d39SAndroid Build Coastguard Worker */ 59*0e209d39SAndroid Build Coastguard Worker #define DECDPUN 1 /* DECimal Digits Per UNit [must be >0 */ 60*0e209d39SAndroid Build Coastguard Worker /* and <10; 3 or powers of 2 are best]. */ 61*0e209d39SAndroid Build Coastguard Worker 62*0e209d39SAndroid Build Coastguard Worker /* DECNUMDIGITS is the default number of digits that can be held in */ 63*0e209d39SAndroid Build Coastguard Worker /* the structure. If undefined, 1 is assumed and it is assumed */ 64*0e209d39SAndroid Build Coastguard Worker /* that the structure will be immediately followed by extra space, */ 65*0e209d39SAndroid Build Coastguard Worker /* as required. DECNUMDIGITS is always >0. */ 66*0e209d39SAndroid Build Coastguard Worker #if !defined(DECNUMDIGITS) 67*0e209d39SAndroid Build Coastguard Worker #define DECNUMDIGITS 1 68*0e209d39SAndroid Build Coastguard Worker #endif 69*0e209d39SAndroid Build Coastguard Worker 70*0e209d39SAndroid Build Coastguard Worker /* The size (integer data type) of each unit is determined by the */ 71*0e209d39SAndroid Build Coastguard Worker /* number of digits it will hold. */ 72*0e209d39SAndroid Build Coastguard Worker #if DECDPUN<=2 73*0e209d39SAndroid Build Coastguard Worker #define decNumberUnit uint8_t 74*0e209d39SAndroid Build Coastguard Worker #elif DECDPUN<=4 75*0e209d39SAndroid Build Coastguard Worker #define decNumberUnit uint16_t 76*0e209d39SAndroid Build Coastguard Worker #else 77*0e209d39SAndroid Build Coastguard Worker #define decNumberUnit uint32_t 78*0e209d39SAndroid Build Coastguard Worker #endif 79*0e209d39SAndroid Build Coastguard Worker /* The number of units needed is ceil(DECNUMDIGITS/DECDPUN) */ 80*0e209d39SAndroid Build Coastguard Worker #define DECNUMUNITS ((DECNUMDIGITS+DECDPUN-1)/DECDPUN) 81*0e209d39SAndroid Build Coastguard Worker 82*0e209d39SAndroid Build Coastguard Worker /* The data structure... */ 83*0e209d39SAndroid Build Coastguard Worker typedef struct { 84*0e209d39SAndroid Build Coastguard Worker int32_t digits; /* Count of digits in the coefficient; >0 */ 85*0e209d39SAndroid Build Coastguard Worker int32_t exponent; /* Unadjusted exponent, unbiased, in */ 86*0e209d39SAndroid Build Coastguard Worker /* range: -1999999997 through 999999999 */ 87*0e209d39SAndroid Build Coastguard Worker uint8_t bits; /* Indicator bits (see above) */ 88*0e209d39SAndroid Build Coastguard Worker /* Coefficient, from least significant unit */ 89*0e209d39SAndroid Build Coastguard Worker decNumberUnit lsu[DECNUMUNITS]; 90*0e209d39SAndroid Build Coastguard Worker } decNumber; 91*0e209d39SAndroid Build Coastguard Worker 92*0e209d39SAndroid Build Coastguard Worker /* Notes: */ 93*0e209d39SAndroid Build Coastguard Worker /* 1. If digits is > DECDPUN then there will one or more */ 94*0e209d39SAndroid Build Coastguard Worker /* decNumberUnits immediately following the first element of lsu.*/ 95*0e209d39SAndroid Build Coastguard Worker /* These contain the remaining (more significant) digits of the */ 96*0e209d39SAndroid Build Coastguard Worker /* number, and may be in the lsu array, or may be guaranteed by */ 97*0e209d39SAndroid Build Coastguard Worker /* some other mechanism (such as being contained in another */ 98*0e209d39SAndroid Build Coastguard Worker /* structure, or being overlaid on dynamically allocated */ 99*0e209d39SAndroid Build Coastguard Worker /* storage). */ 100*0e209d39SAndroid Build Coastguard Worker /* */ 101*0e209d39SAndroid Build Coastguard Worker /* Each integer of the coefficient (except potentially the last) */ 102*0e209d39SAndroid Build Coastguard Worker /* contains DECDPUN digits (e.g., a value in the range 0 through */ 103*0e209d39SAndroid Build Coastguard Worker /* 99999999 if DECDPUN is 8, or 0 through 999 if DECDPUN is 3). */ 104*0e209d39SAndroid Build Coastguard Worker /* */ 105*0e209d39SAndroid Build Coastguard Worker /* 2. A decNumber converted to a string may need up to digits+14 */ 106*0e209d39SAndroid Build Coastguard Worker /* characters. The worst cases (non-exponential and exponential */ 107*0e209d39SAndroid Build Coastguard Worker /* formats) are -0.00000{9...}# and -9.{9...}E+999999999# */ 108*0e209d39SAndroid Build Coastguard Worker /* (where # is '\0') */ 109*0e209d39SAndroid Build Coastguard Worker 110*0e209d39SAndroid Build Coastguard Worker 111*0e209d39SAndroid Build Coastguard Worker /* ---------------------------------------------------------------- */ 112*0e209d39SAndroid Build Coastguard Worker /* decNumber public functions and macros */ 113*0e209d39SAndroid Build Coastguard Worker /* ---------------------------------------------------------------- */ 114*0e209d39SAndroid Build Coastguard Worker /* Conversions */ 115*0e209d39SAndroid Build Coastguard Worker U_CAPI decNumber * U_EXPORT2 uprv_decNumberFromInt32(decNumber *, int32_t); 116*0e209d39SAndroid Build Coastguard Worker U_CAPI decNumber * U_EXPORT2 uprv_decNumberFromUInt32(decNumber *, uint32_t); 117*0e209d39SAndroid Build Coastguard Worker U_CAPI decNumber * U_EXPORT2 uprv_decNumberFromString(decNumber *, const char *, decContext *); 118*0e209d39SAndroid Build Coastguard Worker U_CAPI char * U_EXPORT2 uprv_decNumberToString(const decNumber *, char *); 119*0e209d39SAndroid Build Coastguard Worker U_CAPI char * U_EXPORT2 uprv_decNumberToEngString(const decNumber *, char *); 120*0e209d39SAndroid Build Coastguard Worker U_CAPI uint32_t U_EXPORT2 uprv_decNumberToUInt32(const decNumber *, decContext *); 121*0e209d39SAndroid Build Coastguard Worker U_CAPI int32_t U_EXPORT2 uprv_decNumberToInt32(const decNumber *, decContext *); 122*0e209d39SAndroid Build Coastguard Worker U_CAPI uint8_t * U_EXPORT2 uprv_decNumberGetBCD(const decNumber *, uint8_t *); 123*0e209d39SAndroid Build Coastguard Worker U_CAPI decNumber * U_EXPORT2 uprv_decNumberSetBCD(decNumber *, const uint8_t *, uint32_t); 124*0e209d39SAndroid Build Coastguard Worker 125*0e209d39SAndroid Build Coastguard Worker /* Operators and elementary functions */ 126*0e209d39SAndroid Build Coastguard Worker U_CAPI decNumber * U_EXPORT2 uprv_decNumberAbs(decNumber *, const decNumber *, decContext *); 127*0e209d39SAndroid Build Coastguard Worker U_CAPI decNumber * U_EXPORT2 uprv_decNumberAdd(decNumber *, const decNumber *, const decNumber *, decContext *); 128*0e209d39SAndroid Build Coastguard Worker U_CAPI decNumber * U_EXPORT2 uprv_decNumberAnd(decNumber *, const decNumber *, const decNumber *, decContext *); 129*0e209d39SAndroid Build Coastguard Worker U_CAPI decNumber * U_EXPORT2 uprv_decNumberCompare(decNumber *, const decNumber *, const decNumber *, decContext *); 130*0e209d39SAndroid Build Coastguard Worker U_CAPI decNumber * U_EXPORT2 uprv_decNumberCompareSignal(decNumber *, const decNumber *, const decNumber *, decContext *); 131*0e209d39SAndroid Build Coastguard Worker U_CAPI decNumber * U_EXPORT2 uprv_decNumberCompareTotal(decNumber *, const decNumber *, const decNumber *, decContext *); 132*0e209d39SAndroid Build Coastguard Worker U_CAPI decNumber * U_EXPORT2 uprv_decNumberCompareTotalMag(decNumber *, const decNumber *, const decNumber *, decContext *); 133*0e209d39SAndroid Build Coastguard Worker U_CAPI decNumber * U_EXPORT2 uprv_decNumberDivide(decNumber *, const decNumber *, const decNumber *, decContext *); 134*0e209d39SAndroid Build Coastguard Worker U_CAPI decNumber * U_EXPORT2 uprv_decNumberDivideInteger(decNumber *, const decNumber *, const decNumber *, decContext *); 135*0e209d39SAndroid Build Coastguard Worker U_CAPI decNumber * U_EXPORT2 uprv_decNumberExp(decNumber *, const decNumber *, decContext *); 136*0e209d39SAndroid Build Coastguard Worker U_CAPI decNumber * U_EXPORT2 uprv_decNumberFMA(decNumber *, const decNumber *, const decNumber *, const decNumber *, decContext *); 137*0e209d39SAndroid Build Coastguard Worker U_CAPI decNumber * U_EXPORT2 uprv_decNumberInvert(decNumber *, const decNumber *, decContext *); 138*0e209d39SAndroid Build Coastguard Worker U_CAPI decNumber * U_EXPORT2 uprv_decNumberLn(decNumber *, const decNumber *, decContext *); 139*0e209d39SAndroid Build Coastguard Worker U_CAPI decNumber * U_EXPORT2 uprv_decNumberLogB(decNumber *, const decNumber *, decContext *); 140*0e209d39SAndroid Build Coastguard Worker U_CAPI decNumber * U_EXPORT2 uprv_decNumberLog10(decNumber *, const decNumber *, decContext *); 141*0e209d39SAndroid Build Coastguard Worker U_CAPI decNumber * U_EXPORT2 uprv_decNumberMax(decNumber *, const decNumber *, const decNumber *, decContext *); 142*0e209d39SAndroid Build Coastguard Worker U_CAPI decNumber * U_EXPORT2 uprv_decNumberMaxMag(decNumber *, const decNumber *, const decNumber *, decContext *); 143*0e209d39SAndroid Build Coastguard Worker U_CAPI decNumber * U_EXPORT2 uprv_decNumberMin(decNumber *, const decNumber *, const decNumber *, decContext *); 144*0e209d39SAndroid Build Coastguard Worker U_CAPI decNumber * U_EXPORT2 uprv_decNumberMinMag(decNumber *, const decNumber *, const decNumber *, decContext *); 145*0e209d39SAndroid Build Coastguard Worker U_CAPI decNumber * U_EXPORT2 uprv_decNumberMinus(decNumber *, const decNumber *, decContext *); 146*0e209d39SAndroid Build Coastguard Worker U_CAPI decNumber * U_EXPORT2 uprv_decNumberMultiply(decNumber *, const decNumber *, const decNumber *, decContext *); 147*0e209d39SAndroid Build Coastguard Worker U_CAPI decNumber * U_EXPORT2 uprv_decNumberNormalize(decNumber *, const decNumber *, decContext *); 148*0e209d39SAndroid Build Coastguard Worker U_CAPI decNumber * U_EXPORT2 uprv_decNumberOr(decNumber *, const decNumber *, const decNumber *, decContext *); 149*0e209d39SAndroid Build Coastguard Worker U_CAPI decNumber * U_EXPORT2 uprv_decNumberPlus(decNumber *, const decNumber *, decContext *); 150*0e209d39SAndroid Build Coastguard Worker U_CAPI decNumber * U_EXPORT2 uprv_decNumberPower(decNumber *, const decNumber *, const decNumber *, decContext *); 151*0e209d39SAndroid Build Coastguard Worker U_CAPI decNumber * U_EXPORT2 uprv_decNumberQuantize(decNumber *, const decNumber *, const decNumber *, decContext *); 152*0e209d39SAndroid Build Coastguard Worker U_CAPI decNumber * U_EXPORT2 uprv_decNumberReduce(decNumber *, const decNumber *, decContext *); 153*0e209d39SAndroid Build Coastguard Worker U_CAPI decNumber * U_EXPORT2 uprv_decNumberRemainder(decNumber *, const decNumber *, const decNumber *, decContext *); 154*0e209d39SAndroid Build Coastguard Worker U_CAPI decNumber * U_EXPORT2 uprv_decNumberRemainderNear(decNumber *, const decNumber *, const decNumber *, decContext *); 155*0e209d39SAndroid Build Coastguard Worker U_CAPI decNumber * U_EXPORT2 uprv_decNumberRescale(decNumber *, const decNumber *, const decNumber *, decContext *); 156*0e209d39SAndroid Build Coastguard Worker U_CAPI decNumber * U_EXPORT2 uprv_decNumberRotate(decNumber *, const decNumber *, const decNumber *, decContext *); 157*0e209d39SAndroid Build Coastguard Worker U_CAPI decNumber * U_EXPORT2 uprv_decNumberSameQuantum(decNumber *, const decNumber *, const decNumber *); 158*0e209d39SAndroid Build Coastguard Worker U_CAPI decNumber * U_EXPORT2 uprv_decNumberScaleB(decNumber *, const decNumber *, const decNumber *, decContext *); 159*0e209d39SAndroid Build Coastguard Worker U_CAPI decNumber * U_EXPORT2 uprv_decNumberShift(decNumber *, const decNumber *, const decNumber *, decContext *); 160*0e209d39SAndroid Build Coastguard Worker U_CAPI decNumber * U_EXPORT2 uprv_decNumberSquareRoot(decNumber *, const decNumber *, decContext *); 161*0e209d39SAndroid Build Coastguard Worker U_CAPI decNumber * U_EXPORT2 uprv_decNumberSubtract(decNumber *, const decNumber *, const decNumber *, decContext *); 162*0e209d39SAndroid Build Coastguard Worker U_CAPI decNumber * U_EXPORT2 uprv_decNumberToIntegralExact(decNumber *, const decNumber *, decContext *); 163*0e209d39SAndroid Build Coastguard Worker U_CAPI decNumber * U_EXPORT2 uprv_decNumberToIntegralValue(decNumber *, const decNumber *, decContext *); 164*0e209d39SAndroid Build Coastguard Worker U_CAPI decNumber * U_EXPORT2 uprv_decNumberXor(decNumber *, const decNumber *, const decNumber *, decContext *); 165*0e209d39SAndroid Build Coastguard Worker 166*0e209d39SAndroid Build Coastguard Worker /* Utilities */ 167*0e209d39SAndroid Build Coastguard Worker enum decClass uprv_decNumberClass(const decNumber *, decContext *); 168*0e209d39SAndroid Build Coastguard Worker U_CAPI const char * U_EXPORT2 uprv_decNumberClassToString(enum decClass); 169*0e209d39SAndroid Build Coastguard Worker U_CAPI decNumber * U_EXPORT2 uprv_decNumberCopy(decNumber *, const decNumber *); 170*0e209d39SAndroid Build Coastguard Worker U_CAPI decNumber * U_EXPORT2 uprv_decNumberCopyAbs(decNumber *, const decNumber *); 171*0e209d39SAndroid Build Coastguard Worker U_CAPI decNumber * U_EXPORT2 uprv_decNumberCopyNegate(decNumber *, const decNumber *); 172*0e209d39SAndroid Build Coastguard Worker U_CAPI decNumber * U_EXPORT2 uprv_decNumberCopySign(decNumber *, const decNumber *, const decNumber *); 173*0e209d39SAndroid Build Coastguard Worker U_CAPI decNumber * U_EXPORT2 uprv_decNumberNextMinus(decNumber *, const decNumber *, decContext *); 174*0e209d39SAndroid Build Coastguard Worker U_CAPI decNumber * U_EXPORT2 uprv_decNumberNextPlus(decNumber *, const decNumber *, decContext *); 175*0e209d39SAndroid Build Coastguard Worker U_CAPI decNumber * U_EXPORT2 uprv_decNumberNextToward(decNumber *, const decNumber *, const decNumber *, decContext *); 176*0e209d39SAndroid Build Coastguard Worker U_CAPI decNumber * U_EXPORT2 uprv_decNumberTrim(decNumber *); 177*0e209d39SAndroid Build Coastguard Worker U_CAPI const char * U_EXPORT2 uprv_decNumberVersion(); 178*0e209d39SAndroid Build Coastguard Worker U_CAPI decNumber * U_EXPORT2 uprv_decNumberZero(decNumber *); 179*0e209d39SAndroid Build Coastguard Worker 180*0e209d39SAndroid Build Coastguard Worker /* Functions for testing decNumbers (normality depends on context) */ 181*0e209d39SAndroid Build Coastguard Worker U_CAPI int32_t U_EXPORT2 uprv_decNumberIsNormal(const decNumber *, decContext *); 182*0e209d39SAndroid Build Coastguard Worker U_CAPI int32_t U_EXPORT2 uprv_decNumberIsSubnormal(const decNumber *, decContext *); 183*0e209d39SAndroid Build Coastguard Worker 184*0e209d39SAndroid Build Coastguard Worker /* Macros for testing decNumber *dn */ 185*0e209d39SAndroid Build Coastguard Worker #define decNumberIsCanonical(dn) (1) /* All decNumbers are saintly */ 186*0e209d39SAndroid Build Coastguard Worker #define decNumberIsFinite(dn) (((dn)->bits&DECSPECIAL)==0) 187*0e209d39SAndroid Build Coastguard Worker #define decNumberIsInfinite(dn) (((dn)->bits&DECINF)!=0) 188*0e209d39SAndroid Build Coastguard Worker #define decNumberIsNaN(dn) (((dn)->bits&(DECNAN|DECSNAN))!=0) 189*0e209d39SAndroid Build Coastguard Worker #define decNumberIsNegative(dn) (((dn)->bits&DECNEG)!=0) 190*0e209d39SAndroid Build Coastguard Worker #define decNumberIsQNaN(dn) (((dn)->bits&(DECNAN))!=0) 191*0e209d39SAndroid Build Coastguard Worker #define decNumberIsSNaN(dn) (((dn)->bits&(DECSNAN))!=0) 192*0e209d39SAndroid Build Coastguard Worker #define decNumberIsSpecial(dn) (((dn)->bits&DECSPECIAL)!=0) 193*0e209d39SAndroid Build Coastguard Worker #define decNumberIsZero(dn) (*(dn)->lsu==0 \ 194*0e209d39SAndroid Build Coastguard Worker && (dn)->digits==1 \ 195*0e209d39SAndroid Build Coastguard Worker && (((dn)->bits&DECSPECIAL)==0)) 196*0e209d39SAndroid Build Coastguard Worker #define decNumberRadix(dn) (10) 197*0e209d39SAndroid Build Coastguard Worker 198*0e209d39SAndroid Build Coastguard Worker #endif 199