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