1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
|
/* Decimal number arithmetic module header for the decNumber C Library.
Copyright (C) 2005, 2007 Free Software Foundation, Inc.
Contributed by IBM Corporation. Author Mike Cowlishaw.
This file is part of GCC.
GCC is free software; you can redistribute it and/or modify it under
the terms of the GNU General Public License as published by the Free
Software Foundation; either version 2, or (at your option) any later
version.
In addition to the permissions in the GNU General Public License,
the Free Software Foundation gives you unlimited permission to link
the compiled version of this file into combinations with other
programs, and to distribute those combinations without any
restriction coming from the use of this file. (The General Public
License restrictions do apply in other respects; for example, they
cover modification of the file, and distribution when not linked
into a combine executable.)
GCC is distributed in the hope that it will be useful, but WITHOUT ANY
WARRANTY; without even the implied warranty of MERCHANTABILITY or
FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
for more details.
You should have received a copy of the GNU General Public License
along with GCC; see the file COPYING. If not, write to the Free
Software Foundation, 51 Franklin Street, Fifth Floor, Boston, MA
02110-1301, USA. */
/* ------------------------------------------------------------------ */
/* Decimal Number arithmetic module header */
/* ------------------------------------------------------------------ */
#if !defined(DECNUMBER)
#define DECNUMBER
#define DECNAME "decNumber" /* Short name */
#define DECFULLNAME "Decimal Number Module" /* Verbose name */
#define DECAUTHOR "Mike Cowlishaw" /* Who to blame */
#if !defined(DECCONTEXT)
#include "decContext.h"
#endif
/* Bit settings for decNumber.bits */
#define DECNEG 0x80 /* Sign; 1=negative, 0=positive or zero */
#define DECINF 0x40 /* 1=Infinity */
#define DECNAN 0x20 /* 1=NaN */
#define DECSNAN 0x10 /* 1=sNaN */
/* The remaining bits are reserved; they must be 0 */
#define DECSPECIAL (DECINF|DECNAN|DECSNAN) /* any special value */
/* Define the decNumber data structure. The size and shape of the */
/* units array in the structure is determined by the following */
/* constant. This must not be changed without recompiling the */
/* decNumber library modules. */
#define DECDPUN 3 /* DECimal Digits Per UNit [must be >0 */
/* and <10; 3 or powers of 2 are best]. */
/* DECNUMDIGITS is the default number of digits that can be held in */
/* the structure. If undefined, 1 is assumed and it is assumed */
/* that the structure will be immediately followed by extra space, */
/* as required. DECNUMDIGITS is always >0. */
#if !defined(DECNUMDIGITS)
#define DECNUMDIGITS 1
#endif
/* The size (integer data type) of each unit is determined by the */
/* number of digits it will hold. */
#if DECDPUN<=2
#define decNumberUnit uint8_t
#elif DECDPUN<=4
#define decNumberUnit uint16_t
#else
#define decNumberUnit uint32_t
#endif
/* The number of units needed is ceil(DECNUMDIGITS/DECDPUN) */
#define DECNUMUNITS ((DECNUMDIGITS+DECDPUN-1)/DECDPUN)
/* The data structure... */
typedef struct {
int32_t digits; /* Count of digits in the coefficient; >0 */
int32_t exponent; /* Unadjusted exponent, unbiased, in */
/* range: -1999999997 through 999999999 */
uint8_t bits; /* Indicator bits (see above) */
/* Coefficient, from least significant unit */
decNumberUnit lsu[DECNUMUNITS];
} decNumber;
/* Notes: */
/* 1. If digits is > DECDPUN then there will one or more */
/* decNumberUnits immediately following the first element of lsu.*/
/* These contain the remaining (more significant) digits of the */
/* number, and may be in the lsu array, or may be guaranteed by */
/* some other mechanism (such as being contained in another */
/* structure, or being overlaid on dynamically allocated */
/* storage). */
/* */
/* Each integer of the coefficient (except potentially the last) */
/* contains DECDPUN digits (e.g., a value in the range 0 through */
/* 99999999 if DECDPUN is 8, or 0 through 999 if DECDPUN is 3). */
/* */
/* 2. A decNumber converted to a string may need up to digits+14 */
/* characters. The worst cases (non-exponential and exponential */
/* formats) are -0.00000{9...}# and -9.{9...}E+999999999# */
/* (where # is '\0') */
/* ---------------------------------------------------------------- */
/* decNumber public functions and macros */
/* ---------------------------------------------------------------- */
/* Conversions */
decNumber * decNumberFromInt32(decNumber *, int32_t);
decNumber * decNumberFromUInt32(decNumber *, uint32_t);
decNumber * decNumberFromString(decNumber *, const char *, decContext *);
char * decNumberToString(const decNumber *, char *);
char * decNumberToEngString(const decNumber *, char *);
uint32_t decNumberToUInt32(const decNumber *, decContext *);
int32_t decNumberToInt32(const decNumber *, decContext *);
uint8_t * decNumberGetBCD(const decNumber *, uint8_t *);
decNumber * decNumberSetBCD(decNumber *, const uint8_t *, uint32_t);
/* Operators and elementary functions */
decNumber * decNumberAbs(decNumber *, const decNumber *, decContext *);
decNumber * decNumberAdd(decNumber *, const decNumber *, const decNumber *, decContext *);
decNumber * decNumberAnd(decNumber *, const decNumber *, const decNumber *, decContext *);
decNumber * decNumberCompare(decNumber *, const decNumber *, const decNumber *, decContext *);
decNumber * decNumberCompareSignal(decNumber *, const decNumber *, const decNumber *, decContext *);
decNumber * decNumberCompareTotal(decNumber *, const decNumber *, const decNumber *, decContext *);
decNumber * decNumberCompareTotalMag(decNumber *, const decNumber *, const decNumber *, decContext *);
decNumber * decNumberDivide(decNumber *, const decNumber *, const decNumber *, decContext *);
decNumber * decNumberDivideInteger(decNumber *, const decNumber *, const decNumber *, decContext *);
decNumber * decNumberExp(decNumber *, const decNumber *, decContext *);
decNumber * decNumberFMA(decNumber *, const decNumber *, const decNumber *, const decNumber *, decContext *);
decNumber * decNumberInvert(decNumber *, const decNumber *, decContext *);
decNumber * decNumberLn(decNumber *, const decNumber *, decContext *);
decNumber * decNumberLogB(decNumber *, const decNumber *, decContext *);
decNumber * decNumberLog10(decNumber *, const decNumber *, decContext *);
decNumber * decNumberMax(decNumber *, const decNumber *, const decNumber *, decContext *);
decNumber * decNumberMaxMag(decNumber *, const decNumber *, const decNumber *, decContext *);
decNumber * decNumberMin(decNumber *, const decNumber *, const decNumber *, decContext *);
decNumber * decNumberMinMag(decNumber *, const decNumber *, const decNumber *, decContext *);
decNumber * decNumberMinus(decNumber *, const decNumber *, decContext *);
decNumber * decNumberMultiply(decNumber *, const decNumber *, const decNumber *, decContext *);
decNumber * decNumberNormalize(decNumber *, const decNumber *, decContext *);
decNumber * decNumberOr(decNumber *, const decNumber *, const decNumber *, decContext *);
decNumber * decNumberPlus(decNumber *, const decNumber *, decContext *);
decNumber * decNumberPower(decNumber *, const decNumber *, const decNumber *, decContext *);
decNumber * decNumberQuantize(decNumber *, const decNumber *, const decNumber *, decContext *);
decNumber * decNumberReduce(decNumber *, const decNumber *, decContext *);
decNumber * decNumberRemainder(decNumber *, const decNumber *, const decNumber *, decContext *);
decNumber * decNumberRemainderNear(decNumber *, const decNumber *, const decNumber *, decContext *);
decNumber * decNumberRescale(decNumber *, const decNumber *, const decNumber *, decContext *);
decNumber * decNumberRotate(decNumber *, const decNumber *, const decNumber *, decContext *);
decNumber * decNumberSameQuantum(decNumber *, const decNumber *, const decNumber *);
decNumber * decNumberScaleB(decNumber *, const decNumber *, const decNumber *, decContext *);
decNumber * decNumberShift(decNumber *, const decNumber *, const decNumber *, decContext *);
decNumber * decNumberSquareRoot(decNumber *, const decNumber *, decContext *);
decNumber * decNumberSubtract(decNumber *, const decNumber *, const decNumber *, decContext *);
decNumber * decNumberToIntegralExact(decNumber *, const decNumber *, decContext *);
decNumber * decNumberToIntegralValue(decNumber *, const decNumber *, decContext *);
decNumber * decNumberXor(decNumber *, const decNumber *, const decNumber *, decContext *);
/* Utilities */
enum decClass decNumberClass(const decNumber *, decContext *);
const char * decNumberClassToString(enum decClass);
decNumber * decNumberCopy(decNumber *, const decNumber *);
decNumber * decNumberCopyAbs(decNumber *, const decNumber *);
decNumber * decNumberCopyNegate(decNumber *, const decNumber *);
decNumber * decNumberCopySign(decNumber *, const decNumber *, const decNumber *);
decNumber * decNumberNextMinus(decNumber *, const decNumber *, decContext *);
decNumber * decNumberNextPlus(decNumber *, const decNumber *, decContext *);
decNumber * decNumberNextToward(decNumber *, const decNumber *, const decNumber *, decContext *);
decNumber * decNumberTrim(decNumber *);
const char * decNumberVersion(void);
decNumber * decNumberZero(decNumber *);
/* Functions for testing decNumbers (normality depends on context) */
int32_t decNumberIsNormal(const decNumber *, decContext *);
int32_t decNumberIsSubnormal(const decNumber *, decContext *);
/* Macros for testing decNumber *dn */
#define decNumberIsCanonical(dn) (1) /* All decNumbers are saintly */
#define decNumberIsFinite(dn) (((dn)->bits&DECSPECIAL)==0)
#define decNumberIsInfinite(dn) (((dn)->bits&DECINF)!=0)
#define decNumberIsNaN(dn) (((dn)->bits&(DECNAN|DECSNAN))!=0)
#define decNumberIsNegative(dn) (((dn)->bits&DECNEG)!=0)
#define decNumberIsQNaN(dn) (((dn)->bits&(DECNAN))!=0)
#define decNumberIsSNaN(dn) (((dn)->bits&(DECSNAN))!=0)
#define decNumberIsSpecial(dn) (((dn)->bits&DECSPECIAL)!=0)
#define decNumberIsZero(dn) (*(dn)->lsu==0 \
&& (dn)->digits==1 \
&& (((dn)->bits&DECSPECIAL)==0))
#define decNumberRadix(dn) (10)
#endif
|