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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. */
8 /* This software is made available under the terms of the */
9 /* ICU License -- ICU 1.8.1 and later. */
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. */
16 /* Please send comments, suggestions, and corrections to the author: */
18 /* Mike Cowlishaw, IBM Fellow */
19 /* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */
20 /* ------------------------------------------------------------------ */
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.
26 * Use ICU's uprv_malloc() and uprv_free()
28 * Revert comment syntax to plain C
30 * Remove a few compiler warnings.
33 #if !defined(DECNUMBER)
35 #define DECNAME "decNumber" /* Short name */
36 #define DECFULLNAME "Decimal Number Module" /* Verbose name */
37 #define DECAUTHOR "Mike Cowlishaw" /* Who to blame */
39 #if !defined(DECCONTEXT)
40 #include "decContext.h"
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 */
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. */
56 /* For ICU, use one digit per byte, to make it easier to emulate the
57 * old DigitList interface on top of a decNumber
59 #define DECDPUN 1 /* DECimal Digits Per UNit [must be >0 */
60 /* and <10; 3 or powers of 2 are best]. */
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
70 /* The size (integer data type) of each unit is determined by the */
71 /* number of digits it will hold. */
73 #define decNumberUnit uint8_t
75 #define decNumberUnit uint16_t
77 #define decNumberUnit uint32_t
79 /* The number of units needed is ceil(DECNUMDIGITS/DECDPUN) */
80 #define DECNUMUNITS ((DECNUMDIGITS+DECDPUN-1)/DECDPUN)
82 /* The data structure... */
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
];
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 */
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). */
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') */
111 /* ---------------------------------------------------------------- */
112 /* decNumber public functions and macros */
113 /* ---------------------------------------------------------------- */
115 U_INTERNAL decNumber
* U_EXPORT2
uprv_decNumberFromInt32(decNumber
*, int32_t);
116 U_INTERNAL decNumber
* U_EXPORT2
uprv_decNumberFromUInt32(decNumber
*, uint32_t);
117 U_INTERNAL decNumber
* U_EXPORT2
uprv_decNumberFromString(decNumber
*, const char *, decContext
*);
118 U_INTERNAL
char * U_EXPORT2
uprv_decNumberToString(const decNumber
*, char *);
119 U_INTERNAL
char * U_EXPORT2
uprv_decNumberToEngString(const decNumber
*, char *);
120 U_INTERNAL
uint32_t U_EXPORT2
uprv_decNumberToUInt32(const decNumber
*, decContext
*);
121 U_INTERNAL
int32_t U_EXPORT2
uprv_decNumberToInt32(const decNumber
*, decContext
*);
122 U_INTERNAL
uint8_t * U_EXPORT2
uprv_decNumberGetBCD(const decNumber
*, uint8_t *);
123 U_INTERNAL decNumber
* U_EXPORT2
uprv_decNumberSetBCD(decNumber
*, const uint8_t *, uint32_t);
125 /* Operators and elementary functions */
126 U_INTERNAL decNumber
* U_EXPORT2
uprv_decNumberAbs(decNumber
*, const decNumber
*, decContext
*);
127 U_INTERNAL decNumber
* U_EXPORT2
uprv_decNumberAdd(decNumber
*, const decNumber
*, const decNumber
*, decContext
*);
128 U_INTERNAL decNumber
* U_EXPORT2
uprv_decNumberAnd(decNumber
*, const decNumber
*, const decNumber
*, decContext
*);
129 U_INTERNAL decNumber
* U_EXPORT2
uprv_decNumberCompare(decNumber
*, const decNumber
*, const decNumber
*, decContext
*);
130 U_INTERNAL decNumber
* U_EXPORT2
uprv_decNumberCompareSignal(decNumber
*, const decNumber
*, const decNumber
*, decContext
*);
131 U_INTERNAL decNumber
* U_EXPORT2
uprv_decNumberCompareTotal(decNumber
*, const decNumber
*, const decNumber
*, decContext
*);
132 U_INTERNAL decNumber
* U_EXPORT2
uprv_decNumberCompareTotalMag(decNumber
*, const decNumber
*, const decNumber
*, decContext
*);
133 U_INTERNAL decNumber
* U_EXPORT2
uprv_decNumberDivide(decNumber
*, const decNumber
*, const decNumber
*, decContext
*);
134 U_INTERNAL decNumber
* U_EXPORT2
uprv_decNumberDivideInteger(decNumber
*, const decNumber
*, const decNumber
*, decContext
*);
135 U_INTERNAL decNumber
* U_EXPORT2
uprv_decNumberExp(decNumber
*, const decNumber
*, decContext
*);
136 U_INTERNAL decNumber
* U_EXPORT2
uprv_decNumberFMA(decNumber
*, const decNumber
*, const decNumber
*, const decNumber
*, decContext
*);
137 U_INTERNAL decNumber
* U_EXPORT2
uprv_decNumberInvert(decNumber
*, const decNumber
*, decContext
*);
138 U_INTERNAL decNumber
* U_EXPORT2
uprv_decNumberLn(decNumber
*, const decNumber
*, decContext
*);
139 U_INTERNAL decNumber
* U_EXPORT2
uprv_decNumberLogB(decNumber
*, const decNumber
*, decContext
*);
140 U_INTERNAL decNumber
* U_EXPORT2
uprv_decNumberLog10(decNumber
*, const decNumber
*, decContext
*);
141 U_INTERNAL decNumber
* U_EXPORT2
uprv_decNumberMax(decNumber
*, const decNumber
*, const decNumber
*, decContext
*);
142 U_INTERNAL decNumber
* U_EXPORT2
uprv_decNumberMaxMag(decNumber
*, const decNumber
*, const decNumber
*, decContext
*);
143 U_INTERNAL decNumber
* U_EXPORT2
uprv_decNumberMin(decNumber
*, const decNumber
*, const decNumber
*, decContext
*);
144 U_INTERNAL decNumber
* U_EXPORT2
uprv_decNumberMinMag(decNumber
*, const decNumber
*, const decNumber
*, decContext
*);
145 U_INTERNAL decNumber
* U_EXPORT2
uprv_decNumberMinus(decNumber
*, const decNumber
*, decContext
*);
146 U_INTERNAL decNumber
* U_EXPORT2
uprv_decNumberMultiply(decNumber
*, const decNumber
*, const decNumber
*, decContext
*);
147 U_INTERNAL decNumber
* U_EXPORT2
uprv_decNumberNormalize(decNumber
*, const decNumber
*, decContext
*);
148 U_INTERNAL decNumber
* U_EXPORT2
uprv_decNumberOr(decNumber
*, const decNumber
*, const decNumber
*, decContext
*);
149 U_INTERNAL decNumber
* U_EXPORT2
uprv_decNumberPlus(decNumber
*, const decNumber
*, decContext
*);
150 U_INTERNAL decNumber
* U_EXPORT2
uprv_decNumberPower(decNumber
*, const decNumber
*, const decNumber
*, decContext
*);
151 U_INTERNAL decNumber
* U_EXPORT2
uprv_decNumberQuantize(decNumber
*, const decNumber
*, const decNumber
*, decContext
*);
152 U_INTERNAL decNumber
* U_EXPORT2
uprv_decNumberReduce(decNumber
*, const decNumber
*, decContext
*);
153 U_INTERNAL decNumber
* U_EXPORT2
uprv_decNumberRemainder(decNumber
*, const decNumber
*, const decNumber
*, decContext
*);
154 U_INTERNAL decNumber
* U_EXPORT2
uprv_decNumberRemainderNear(decNumber
*, const decNumber
*, const decNumber
*, decContext
*);
155 U_INTERNAL decNumber
* U_EXPORT2
uprv_decNumberRescale(decNumber
*, const decNumber
*, const decNumber
*, decContext
*);
156 U_INTERNAL decNumber
* U_EXPORT2
uprv_decNumberRotate(decNumber
*, const decNumber
*, const decNumber
*, decContext
*);
157 U_INTERNAL decNumber
* U_EXPORT2
uprv_decNumberSameQuantum(decNumber
*, const decNumber
*, const decNumber
*);
158 U_INTERNAL decNumber
* U_EXPORT2
uprv_decNumberScaleB(decNumber
*, const decNumber
*, const decNumber
*, decContext
*);
159 U_INTERNAL decNumber
* U_EXPORT2
uprv_decNumberShift(decNumber
*, const decNumber
*, const decNumber
*, decContext
*);
160 U_INTERNAL decNumber
* U_EXPORT2
uprv_decNumberSquareRoot(decNumber
*, const decNumber
*, decContext
*);
161 U_INTERNAL decNumber
* U_EXPORT2
uprv_decNumberSubtract(decNumber
*, const decNumber
*, const decNumber
*, decContext
*);
162 U_INTERNAL decNumber
* U_EXPORT2
uprv_decNumberToIntegralExact(decNumber
*, const decNumber
*, decContext
*);
163 U_INTERNAL decNumber
* U_EXPORT2
uprv_decNumberToIntegralValue(decNumber
*, const decNumber
*, decContext
*);
164 U_INTERNAL decNumber
* U_EXPORT2
uprv_decNumberXor(decNumber
*, const decNumber
*, const decNumber
*, decContext
*);
167 enum decClass
uprv_decNumberClass(const decNumber
*, decContext
*);
168 U_INTERNAL
const char * U_EXPORT2
uprv_decNumberClassToString(enum decClass
);
169 U_INTERNAL decNumber
* U_EXPORT2
uprv_decNumberCopy(decNumber
*, const decNumber
*);
170 U_INTERNAL decNumber
* U_EXPORT2
uprv_decNumberCopyAbs(decNumber
*, const decNumber
*);
171 U_INTERNAL decNumber
* U_EXPORT2
uprv_decNumberCopyNegate(decNumber
*, const decNumber
*);
172 U_INTERNAL decNumber
* U_EXPORT2
uprv_decNumberCopySign(decNumber
*, const decNumber
*, const decNumber
*);
173 U_INTERNAL decNumber
* U_EXPORT2
uprv_decNumberNextMinus(decNumber
*, const decNumber
*, decContext
*);
174 U_INTERNAL decNumber
* U_EXPORT2
uprv_decNumberNextPlus(decNumber
*, const decNumber
*, decContext
*);
175 U_INTERNAL decNumber
* U_EXPORT2
uprv_decNumberNextToward(decNumber
*, const decNumber
*, const decNumber
*, decContext
*);
176 U_INTERNAL decNumber
* U_EXPORT2
uprv_decNumberTrim(decNumber
*);
177 U_INTERNAL
const char * U_EXPORT2
uprv_decNumberVersion(void);
178 U_INTERNAL decNumber
* U_EXPORT2
uprv_decNumberZero(decNumber
*);
180 /* Functions for testing decNumbers (normality depends on context) */
181 U_INTERNAL
int32_t U_EXPORT2
uprv_decNumberIsNormal(const decNumber
*, decContext
*);
182 U_INTERNAL
int32_t U_EXPORT2
uprv_decNumberIsSubnormal(const decNumber
*, decContext
*);
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 \
195 && (((dn)->bits&DECSPECIAL)==0))
196 #define decNumberRadix(dn) (10)