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