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
|
/* ------------------------------------------------------------------ */
/* decQuad.h -- Decimal 128-bit format module header */
/* ------------------------------------------------------------------ */
/* Copyright (c) IBM Corporation, 2000, 2010. All rights reserved. */
/* */
/* This software is made available under the terms of the */
/* ICU License -- ICU 1.8.1 and later. */
/* */
/* The description and User's Guide ("The decNumber C Library") for */
/* this software is included in the package as decNumber.pdf. This */
/* document is also available in HTML, together with specifications, */
/* testcases, and Web links, on the General Decimal Arithmetic page. */
/* */
/* Please send comments, suggestions, and corrections to the author: */
/* mfc@uk.ibm.com */
/* Mike Cowlishaw, IBM Fellow */
/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */
/* ------------------------------------------------------------------ */
/* This include file is always included by decSingle and decDouble, */
/* and therefore also holds useful constants used by all three. */
#if !defined(DECQUAD)
#define DECQUAD
#define DECQUADNAME "decimalQuad" /* Short name */
#define DECQUADTITLE "Decimal 128-bit datum" /* Verbose name */
#define DECQUADAUTHOR "Mike Cowlishaw" /* Who to blame */
/* parameters for decQuads */
#define DECQUAD_Bytes 16 /* length */
#define DECQUAD_Pmax 34 /* maximum precision (digits) */
#define DECQUAD_Emin -6143 /* minimum adjusted exponent */
#define DECQUAD_Emax 6144 /* maximum adjusted exponent */
#define DECQUAD_EmaxD 4 /* maximum exponent digits */
#define DECQUAD_Bias 6176 /* bias for the exponent */
#define DECQUAD_String 43 /* maximum string length, +1 */
#define DECQUAD_EconL 12 /* exponent continuation length */
#define DECQUAD_Declets 11 /* count of declets */
/* highest biased exponent (Elimit-1) */
#define DECQUAD_Ehigh (DECQUAD_Emax + DECQUAD_Bias - (DECQUAD_Pmax-1))
/* Required include */
#include "decContext.h"
/* The decQuad decimal 128-bit type, accessible by all sizes */
typedef union {
uint8_t bytes[DECQUAD_Bytes]; /* fields: 1, 5, 12, 110 bits */
uint16_t shorts[DECQUAD_Bytes/2];
uint32_t words[DECQUAD_Bytes/4];
#if DECUSE64
uint64_t longs[DECQUAD_Bytes/8];
#endif
} decQuad;
/* ---------------------------------------------------------------- */
/* Shared constants */
/* ---------------------------------------------------------------- */
/* sign and special values [top 32-bits; last two bits are don't-care
for Infinity on input, last bit don't-care for NaNs] */
#define DECFLOAT_Sign 0x80000000 /* 1 00000 00 Sign */
#define DECFLOAT_NaN 0x7c000000 /* 0 11111 00 NaN generic */
#define DECFLOAT_qNaN 0x7c000000 /* 0 11111 00 qNaN */
#define DECFLOAT_sNaN 0x7e000000 /* 0 11111 10 sNaN */
#define DECFLOAT_Inf 0x78000000 /* 0 11110 00 Infinity */
#define DECFLOAT_MinSp 0x78000000 /* minimum special value */
/* [specials are all >=MinSp] */
/* Sign nibble constants */
#if !defined(DECPPLUSALT)
#define DECPPLUSALT 0x0A /* alternate plus nibble */
#define DECPMINUSALT 0x0B /* alternate minus nibble */
#define DECPPLUS 0x0C /* preferred plus nibble */
#define DECPMINUS 0x0D /* preferred minus nibble */
#define DECPPLUSALT2 0x0E /* alternate plus nibble */
#define DECPUNSIGNED 0x0F /* alternate plus nibble (unsigned) */
#endif
/* ---------------------------------------------------------------- */
/* Routines -- implemented as decFloat routines in common files */
/* ---------------------------------------------------------------- */
/* Utilities and conversions, extractors, etc.) */
extern decQuad * decQuadFromBCD(decQuad *, int32_t, const uint8_t *, int32_t);
extern decQuad * decQuadFromInt32(decQuad *, int32_t);
extern decQuad * decQuadFromPacked(decQuad *, int32_t, const uint8_t *);
extern decQuad * decQuadFromPackedChecked(decQuad *, int32_t, const uint8_t *);
extern decQuad * decQuadFromString(decQuad *, const char *, decContext *);
extern decQuad * decQuadFromUInt32(decQuad *, uint32_t);
extern int32_t decQuadGetCoefficient(const decQuad *, uint8_t *);
extern int32_t decQuadGetExponent(const decQuad *);
extern decQuad * decQuadSetCoefficient(decQuad *, const uint8_t *, int32_t);
extern decQuad * decQuadSetExponent(decQuad *, decContext *, int32_t);
extern void decQuadShow(const decQuad *, const char *);
extern int32_t decQuadToBCD(const decQuad *, int32_t *, uint8_t *);
extern char * decQuadToEngString(const decQuad *, char *);
extern int32_t decQuadToInt32(const decQuad *, decContext *, enum rounding);
extern int32_t decQuadToInt32Exact(const decQuad *, decContext *, enum rounding);
extern int32_t decQuadToPacked(const decQuad *, int32_t *, uint8_t *);
extern char * decQuadToString(const decQuad *, char *);
extern uint32_t decQuadToUInt32(const decQuad *, decContext *, enum rounding);
extern uint32_t decQuadToUInt32Exact(const decQuad *, decContext *, enum rounding);
extern decQuad * decQuadZero(decQuad *);
/* Computational (result is a decQuad) */
extern decQuad * decQuadAbs(decQuad *, const decQuad *, decContext *);
extern decQuad * decQuadAdd(decQuad *, const decQuad *, const decQuad *, decContext *);
extern decQuad * decQuadAnd(decQuad *, const decQuad *, const decQuad *, decContext *);
extern decQuad * decQuadDivide(decQuad *, const decQuad *, const decQuad *, decContext *);
extern decQuad * decQuadDivideInteger(decQuad *, const decQuad *, const decQuad *, decContext *);
extern decQuad * decQuadFMA(decQuad *, const decQuad *, const decQuad *, const decQuad *, decContext *);
extern decQuad * decQuadInvert(decQuad *, const decQuad *, decContext *);
extern decQuad * decQuadLogB(decQuad *, const decQuad *, decContext *);
extern decQuad * decQuadMax(decQuad *, const decQuad *, const decQuad *, decContext *);
extern decQuad * decQuadMaxMag(decQuad *, const decQuad *, const decQuad *, decContext *);
extern decQuad * decQuadMin(decQuad *, const decQuad *, const decQuad *, decContext *);
extern decQuad * decQuadMinMag(decQuad *, const decQuad *, const decQuad *, decContext *);
extern decQuad * decQuadMinus(decQuad *, const decQuad *, decContext *);
extern decQuad * decQuadMultiply(decQuad *, const decQuad *, const decQuad *, decContext *);
extern decQuad * decQuadNextMinus(decQuad *, const decQuad *, decContext *);
extern decQuad * decQuadNextPlus(decQuad *, const decQuad *, decContext *);
extern decQuad * decQuadNextToward(decQuad *, const decQuad *, const decQuad *, decContext *);
extern decQuad * decQuadOr(decQuad *, const decQuad *, const decQuad *, decContext *);
extern decQuad * decQuadPlus(decQuad *, const decQuad *, decContext *);
extern decQuad * decQuadQuantize(decQuad *, const decQuad *, const decQuad *, decContext *);
extern decQuad * decQuadReduce(decQuad *, const decQuad *, decContext *);
extern decQuad * decQuadRemainder(decQuad *, const decQuad *, const decQuad *, decContext *);
extern decQuad * decQuadRemainderNear(decQuad *, const decQuad *, const decQuad *, decContext *);
extern decQuad * decQuadRotate(decQuad *, const decQuad *, const decQuad *, decContext *);
extern decQuad * decQuadScaleB(decQuad *, const decQuad *, const decQuad *, decContext *);
extern decQuad * decQuadShift(decQuad *, const decQuad *, const decQuad *, decContext *);
extern decQuad * decQuadSubtract(decQuad *, const decQuad *, const decQuad *, decContext *);
extern decQuad * decQuadToIntegralValue(decQuad *, const decQuad *, decContext *, enum rounding);
extern decQuad * decQuadToIntegralExact(decQuad *, const decQuad *, decContext *);
extern decQuad * decQuadXor(decQuad *, const decQuad *, const decQuad *, decContext *);
/* Comparisons */
extern decQuad * decQuadCompare(decQuad *, const decQuad *, const decQuad *, decContext *);
extern decQuad * decQuadCompareSignal(decQuad *, const decQuad *, const decQuad *, decContext *);
extern decQuad * decQuadCompareTotal(decQuad *, const decQuad *, const decQuad *);
extern decQuad * decQuadCompareTotalMag(decQuad *, const decQuad *, const decQuad *);
/* Copies */
extern decQuad * decQuadCanonical(decQuad *, const decQuad *);
extern decQuad * decQuadCopy(decQuad *, const decQuad *);
extern decQuad * decQuadCopyAbs(decQuad *, const decQuad *);
extern decQuad * decQuadCopyNegate(decQuad *, const decQuad *);
extern decQuad * decQuadCopySign(decQuad *, const decQuad *, const decQuad *);
/* Non-computational */
extern enum decClass decQuadClass(const decQuad *);
extern const char * decQuadClassString(const decQuad *);
extern uint32_t decQuadDigits(const decQuad *);
extern uint32_t decQuadIsCanonical(const decQuad *);
extern uint32_t decQuadIsFinite(const decQuad *);
extern uint32_t decQuadIsInteger(const decQuad *);
extern uint32_t decQuadIsLogical(const decQuad *);
extern uint32_t decQuadIsInfinite(const decQuad *);
extern uint32_t decQuadIsNaN(const decQuad *);
extern uint32_t decQuadIsNegative(const decQuad *);
extern uint32_t decQuadIsNormal(const decQuad *);
extern uint32_t decQuadIsPositive(const decQuad *);
extern uint32_t decQuadIsSignaling(const decQuad *);
extern uint32_t decQuadIsSignalling(const decQuad *);
extern uint32_t decQuadIsSigned(const decQuad *);
extern uint32_t decQuadIsSubnormal(const decQuad *);
extern uint32_t decQuadIsZero(const decQuad *);
extern uint32_t decQuadRadix(const decQuad *);
extern uint32_t decQuadSameQuantum(const decQuad *, const decQuad *);
extern const char * decQuadVersion(void);
/* decNumber conversions; these are implemented as macros so as not */
/* to force a dependency on decimal128 and decNumber in decQuad. */
/* decQuadFromNumber returns a decimal128 * to avoid warnings. */
#define decQuadToNumber(dq, dn) decimal128ToNumber((decimal128 *)(dq), dn)
#define decQuadFromNumber(dq, dn, set) decimal128FromNumber((decimal128 *)(dq), dn, set)
#endif
|
