Victor Chang | 7322950 | 2020-09-17 13:39:19 +0100 | [diff] [blame] | 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 */ |
Victor Chang | ce4bf3c | 2021-01-19 16:34:24 +0000 | [diff] [blame] | 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); |
Victor Chang | 7322950 | 2020-09-17 13:39:19 +0100 | [diff] [blame] | 124 | |
| 125 | /* Operators and elementary functions */ |
Victor Chang | ce4bf3c | 2021-01-19 16:34:24 +0000 | [diff] [blame] | 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 *); |
Victor Chang | 7322950 | 2020-09-17 13:39:19 +0100 | [diff] [blame] | 165 | |
| 166 | /* Utilities */ |
| 167 | enum decClass uprv_decNumberClass(const decNumber *, decContext *); |
Victor Chang | ce4bf3c | 2021-01-19 16:34:24 +0000 | [diff] [blame] | 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 *); |
Victor Chang | 7322950 | 2020-09-17 13:39:19 +0100 | [diff] [blame] | 179 | |
| 180 | /* Functions for testing decNumbers (normality depends on context) */ |
Victor Chang | ce4bf3c | 2021-01-19 16:34:24 +0000 | [diff] [blame] | 181 | U_CAPI int32_t U_EXPORT2 uprv_decNumberIsNormal(const decNumber *, decContext *); |
| 182 | U_CAPI int32_t U_EXPORT2 uprv_decNumberIsSubnormal(const decNumber *, decContext *); |
Victor Chang | 7322950 | 2020-09-17 13:39:19 +0100 | [diff] [blame] | 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 |