| 1 |
24 |
jeremybenn |
/* Decimal number arithmetic module header for the decNumber C Library.
|
| 2 |
|
|
Copyright (C) 2005, 2007 Free Software Foundation, Inc.
|
| 3 |
|
|
Contributed by IBM Corporation. Author Mike Cowlishaw.
|
| 4 |
|
|
|
| 5 |
|
|
This file is part of GCC.
|
| 6 |
|
|
|
| 7 |
|
|
GCC is free software; you can redistribute it and/or modify it under
|
| 8 |
|
|
the terms of the GNU General Public License as published by the Free
|
| 9 |
|
|
Software Foundation; either version 2, or (at your option) any later
|
| 10 |
|
|
version.
|
| 11 |
|
|
|
| 12 |
|
|
In addition to the permissions in the GNU General Public License,
|
| 13 |
|
|
the Free Software Foundation gives you unlimited permission to link
|
| 14 |
|
|
the compiled version of this file into combinations with other
|
| 15 |
|
|
programs, and to distribute those combinations without any
|
| 16 |
|
|
restriction coming from the use of this file. (The General Public
|
| 17 |
|
|
License restrictions do apply in other respects; for example, they
|
| 18 |
|
|
cover modification of the file, and distribution when not linked
|
| 19 |
|
|
into a combine executable.)
|
| 20 |
|
|
|
| 21 |
|
|
GCC is distributed in the hope that it will be useful, but WITHOUT ANY
|
| 22 |
|
|
WARRANTY; without even the implied warranty of MERCHANTABILITY or
|
| 23 |
|
|
FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
|
| 24 |
|
|
for more details.
|
| 25 |
|
|
|
| 26 |
|
|
You should have received a copy of the GNU General Public License
|
| 27 |
|
|
along with GCC; see the file COPYING. If not, write to the Free
|
| 28 |
|
|
Software Foundation, 51 Franklin Street, Fifth Floor, Boston, MA
|
| 29 |
|
|
02110-1301, USA. */
|
| 30 |
|
|
|
| 31 |
|
|
/* ------------------------------------------------------------------ */
|
| 32 |
|
|
/* Decimal Number arithmetic module header */
|
| 33 |
|
|
/* ------------------------------------------------------------------ */
|
| 34 |
|
|
|
| 35 |
|
|
#if !defined(DECNUMBER)
|
| 36 |
|
|
#define DECNUMBER
|
| 37 |
|
|
#define DECNAME "decNumber" /* Short name */
|
| 38 |
|
|
#define DECFULLNAME "Decimal Number Module" /* Verbose name */
|
| 39 |
|
|
#define DECAUTHOR "Mike Cowlishaw" /* Who to blame */
|
| 40 |
|
|
|
| 41 |
|
|
#if !defined(DECCONTEXT)
|
| 42 |
|
|
#include "decContext.h"
|
| 43 |
|
|
#endif
|
| 44 |
|
|
|
| 45 |
|
|
/* Bit settings for decNumber.bits */
|
| 46 |
|
|
#define DECNEG 0x80 /* Sign; 1=negative, 0=positive or zero */
|
| 47 |
|
|
#define DECINF 0x40 /* 1=Infinity */
|
| 48 |
|
|
#define DECNAN 0x20 /* 1=NaN */
|
| 49 |
|
|
#define DECSNAN 0x10 /* 1=sNaN */
|
| 50 |
|
|
/* The remaining bits are reserved; they must be 0 */
|
| 51 |
|
|
#define DECSPECIAL (DECINF|DECNAN|DECSNAN) /* any special value */
|
| 52 |
|
|
|
| 53 |
|
|
/* Define the decNumber data structure. The size and shape of the */
|
| 54 |
|
|
/* units array in the structure is determined by the following */
|
| 55 |
|
|
/* constant. This must not be changed without recompiling the */
|
| 56 |
|
|
/* decNumber library modules. */
|
| 57 |
|
|
|
| 58 |
|
|
#define DECDPUN 3 /* DECimal Digits Per UNit [must be >0 */
|
| 59 |
|
|
/* and <10; 3 or powers of 2 are best]. */
|
| 60 |
|
|
|
| 61 |
|
|
/* DECNUMDIGITS is the default number of digits that can be held in */
|
| 62 |
|
|
/* the structure. If undefined, 1 is assumed and it is assumed */
|
| 63 |
|
|
/* that the structure will be immediately followed by extra space, */
|
| 64 |
|
|
/* as required. DECNUMDIGITS is always >0. */
|
| 65 |
|
|
#if !defined(DECNUMDIGITS)
|
| 66 |
|
|
#define DECNUMDIGITS 1
|
| 67 |
|
|
#endif
|
| 68 |
|
|
|
| 69 |
|
|
/* The size (integer data type) of each unit is determined by the */
|
| 70 |
|
|
/* number of digits it will hold. */
|
| 71 |
|
|
#if DECDPUN<=2
|
| 72 |
|
|
#define decNumberUnit uint8_t
|
| 73 |
|
|
#elif DECDPUN<=4
|
| 74 |
|
|
#define decNumberUnit uint16_t
|
| 75 |
|
|
#else
|
| 76 |
|
|
#define decNumberUnit uint32_t
|
| 77 |
|
|
#endif
|
| 78 |
|
|
/* The number of units needed is ceil(DECNUMDIGITS/DECDPUN) */
|
| 79 |
|
|
#define DECNUMUNITS ((DECNUMDIGITS+DECDPUN-1)/DECDPUN)
|
| 80 |
|
|
|
| 81 |
|
|
/* The data structure... */
|
| 82 |
|
|
typedef struct {
|
| 83 |
|
|
int32_t digits; /* Count of digits in the coefficient; >0 */
|
| 84 |
|
|
int32_t exponent; /* Unadjusted exponent, unbiased, in */
|
| 85 |
|
|
/* range: -1999999997 through 999999999 */
|
| 86 |
|
|
uint8_t bits; /* Indicator bits (see above) */
|
| 87 |
|
|
/* Coefficient, from least significant unit */
|
| 88 |
|
|
decNumberUnit lsu[DECNUMUNITS];
|
| 89 |
|
|
} decNumber;
|
| 90 |
|
|
|
| 91 |
|
|
/* Notes: */
|
| 92 |
|
|
/* 1. If digits is > DECDPUN then there will one or more */
|
| 93 |
|
|
/* decNumberUnits immediately following the first element of lsu.*/
|
| 94 |
|
|
/* These contain the remaining (more significant) digits of the */
|
| 95 |
|
|
/* number, and may be in the lsu array, or may be guaranteed by */
|
| 96 |
|
|
/* some other mechanism (such as being contained in another */
|
| 97 |
|
|
/* structure, or being overlaid on dynamically allocated */
|
| 98 |
|
|
/* storage). */
|
| 99 |
|
|
/* */
|
| 100 |
|
|
/* Each integer of the coefficient (except potentially the last) */
|
| 101 |
|
|
/* contains DECDPUN digits (e.g., a value in the range 0 through */
|
| 102 |
|
|
/* 99999999 if DECDPUN is 8, or 0 through 999 if DECDPUN is 3). */
|
| 103 |
|
|
/* */
|
| 104 |
|
|
/* 2. A decNumber converted to a string may need up to digits+14 */
|
| 105 |
|
|
/* characters. The worst cases (non-exponential and exponential */
|
| 106 |
|
|
/* formats) are -0.00000{9...}# and -9.{9...}E+999999999# */
|
| 107 |
|
|
/* (where # is '\0') */
|
| 108 |
|
|
|
| 109 |
|
|
|
| 110 |
|
|
/* ---------------------------------------------------------------- */
|
| 111 |
|
|
/* decNumber public functions and macros */
|
| 112 |
|
|
/* ---------------------------------------------------------------- */
|
| 113 |
|
|
|
| 114 |
|
|
#include "decNumberSymbols.h"
|
| 115 |
|
|
|
| 116 |
|
|
/* Conversions */
|
| 117 |
|
|
decNumber * decNumberFromInt32(decNumber *, int32_t);
|
| 118 |
|
|
decNumber * decNumberFromUInt32(decNumber *, uint32_t);
|
| 119 |
|
|
decNumber * decNumberFromString(decNumber *, const char *, decContext *);
|
| 120 |
|
|
char * decNumberToString(const decNumber *, char *);
|
| 121 |
|
|
char * decNumberToEngString(const decNumber *, char *);
|
| 122 |
|
|
uint32_t decNumberToUInt32(const decNumber *, decContext *);
|
| 123 |
|
|
int32_t decNumberToInt32(const decNumber *, decContext *);
|
| 124 |
|
|
uint8_t * decNumberGetBCD(const decNumber *, uint8_t *);
|
| 125 |
|
|
decNumber * decNumberSetBCD(decNumber *, const uint8_t *, uint32_t);
|
| 126 |
|
|
|
| 127 |
|
|
/* Operators and elementary functions */
|
| 128 |
|
|
decNumber * decNumberAbs(decNumber *, const decNumber *, decContext *);
|
| 129 |
|
|
decNumber * decNumberAdd(decNumber *, const decNumber *, const decNumber *, decContext *);
|
| 130 |
|
|
decNumber * decNumberAnd(decNumber *, const decNumber *, const decNumber *, decContext *);
|
| 131 |
|
|
decNumber * decNumberCompare(decNumber *, const decNumber *, const decNumber *, decContext *);
|
| 132 |
|
|
decNumber * decNumberCompareSignal(decNumber *, const decNumber *, const decNumber *, decContext *);
|
| 133 |
|
|
decNumber * decNumberCompareTotal(decNumber *, const decNumber *, const decNumber *, decContext *);
|
| 134 |
|
|
decNumber * decNumberCompareTotalMag(decNumber *, const decNumber *, const decNumber *, decContext *);
|
| 135 |
|
|
decNumber * decNumberDivide(decNumber *, const decNumber *, const decNumber *, decContext *);
|
| 136 |
|
|
decNumber * decNumberDivideInteger(decNumber *, const decNumber *, const decNumber *, decContext *);
|
| 137 |
|
|
decNumber * decNumberExp(decNumber *, const decNumber *, decContext *);
|
| 138 |
|
|
decNumber * decNumberFMA(decNumber *, const decNumber *, const decNumber *, const decNumber *, decContext *);
|
| 139 |
|
|
decNumber * decNumberInvert(decNumber *, const decNumber *, decContext *);
|
| 140 |
|
|
decNumber * decNumberLn(decNumber *, const decNumber *, decContext *);
|
| 141 |
|
|
decNumber * decNumberLogB(decNumber *, const decNumber *, decContext *);
|
| 142 |
|
|
decNumber * decNumberLog10(decNumber *, const decNumber *, decContext *);
|
| 143 |
|
|
decNumber * decNumberMax(decNumber *, const decNumber *, const decNumber *, decContext *);
|
| 144 |
|
|
decNumber * decNumberMaxMag(decNumber *, const decNumber *, const decNumber *, decContext *);
|
| 145 |
|
|
decNumber * decNumberMin(decNumber *, const decNumber *, const decNumber *, decContext *);
|
| 146 |
|
|
decNumber * decNumberMinMag(decNumber *, const decNumber *, const decNumber *, decContext *);
|
| 147 |
|
|
decNumber * decNumberMinus(decNumber *, const decNumber *, decContext *);
|
| 148 |
|
|
decNumber * decNumberMultiply(decNumber *, const decNumber *, const decNumber *, decContext *);
|
| 149 |
|
|
decNumber * decNumberNormalize(decNumber *, const decNumber *, decContext *);
|
| 150 |
|
|
decNumber * decNumberOr(decNumber *, const decNumber *, const decNumber *, decContext *);
|
| 151 |
|
|
decNumber * decNumberPlus(decNumber *, const decNumber *, decContext *);
|
| 152 |
|
|
decNumber * decNumberPower(decNumber *, const decNumber *, const decNumber *, decContext *);
|
| 153 |
|
|
decNumber * decNumberQuantize(decNumber *, const decNumber *, const decNumber *, decContext *);
|
| 154 |
|
|
decNumber * decNumberReduce(decNumber *, const decNumber *, decContext *);
|
| 155 |
|
|
decNumber * decNumberRemainder(decNumber *, const decNumber *, const decNumber *, decContext *);
|
| 156 |
|
|
decNumber * decNumberRemainderNear(decNumber *, const decNumber *, const decNumber *, decContext *);
|
| 157 |
|
|
decNumber * decNumberRescale(decNumber *, const decNumber *, const decNumber *, decContext *);
|
| 158 |
|
|
decNumber * decNumberRotate(decNumber *, const decNumber *, const decNumber *, decContext *);
|
| 159 |
|
|
decNumber * decNumberSameQuantum(decNumber *, const decNumber *, const decNumber *);
|
| 160 |
|
|
decNumber * decNumberScaleB(decNumber *, const decNumber *, const decNumber *, decContext *);
|
| 161 |
|
|
decNumber * decNumberShift(decNumber *, const decNumber *, const decNumber *, decContext *);
|
| 162 |
|
|
decNumber * decNumberSquareRoot(decNumber *, const decNumber *, decContext *);
|
| 163 |
|
|
decNumber * decNumberSubtract(decNumber *, const decNumber *, const decNumber *, decContext *);
|
| 164 |
|
|
decNumber * decNumberToIntegralExact(decNumber *, const decNumber *, decContext *);
|
| 165 |
|
|
decNumber * decNumberToIntegralValue(decNumber *, const decNumber *, decContext *);
|
| 166 |
|
|
decNumber * decNumberXor(decNumber *, const decNumber *, const decNumber *, decContext *);
|
| 167 |
|
|
|
| 168 |
|
|
/* Utilities */
|
| 169 |
|
|
enum decClass decNumberClass(const decNumber *, decContext *);
|
| 170 |
|
|
const char * decNumberClassToString(enum decClass);
|
| 171 |
|
|
decNumber * decNumberCopy(decNumber *, const decNumber *);
|
| 172 |
|
|
decNumber * decNumberCopyAbs(decNumber *, const decNumber *);
|
| 173 |
|
|
decNumber * decNumberCopyNegate(decNumber *, const decNumber *);
|
| 174 |
|
|
decNumber * decNumberCopySign(decNumber *, const decNumber *, const decNumber *);
|
| 175 |
|
|
decNumber * decNumberNextMinus(decNumber *, const decNumber *, decContext *);
|
| 176 |
|
|
decNumber * decNumberNextPlus(decNumber *, const decNumber *, decContext *);
|
| 177 |
|
|
decNumber * decNumberNextToward(decNumber *, const decNumber *, const decNumber *, decContext *);
|
| 178 |
|
|
decNumber * decNumberTrim(decNumber *);
|
| 179 |
|
|
const char * decNumberVersion(void);
|
| 180 |
|
|
decNumber * decNumberZero(decNumber *);
|
| 181 |
|
|
|
| 182 |
|
|
/* Functions for testing decNumbers (normality depends on context) */
|
| 183 |
|
|
int32_t decNumberIsNormal(const decNumber *, decContext *);
|
| 184 |
|
|
int32_t decNumberIsSubnormal(const decNumber *, decContext *);
|
| 185 |
|
|
|
| 186 |
|
|
/* Macros for testing decNumber *dn */
|
| 187 |
|
|
#define decNumberIsCanonical(dn) (1) /* All decNumbers are saintly */
|
| 188 |
|
|
#define decNumberIsFinite(dn) (((dn)->bits&DECSPECIAL)==0)
|
| 189 |
|
|
#define decNumberIsInfinite(dn) (((dn)->bits&DECINF)!=0)
|
| 190 |
|
|
#define decNumberIsNaN(dn) (((dn)->bits&(DECNAN|DECSNAN))!=0)
|
| 191 |
|
|
#define decNumberIsNegative(dn) (((dn)->bits&DECNEG)!=0)
|
| 192 |
|
|
#define decNumberIsQNaN(dn) (((dn)->bits&(DECNAN))!=0)
|
| 193 |
|
|
#define decNumberIsSNaN(dn) (((dn)->bits&(DECSNAN))!=0)
|
| 194 |
|
|
#define decNumberIsSpecial(dn) (((dn)->bits&DECSPECIAL)!=0)
|
| 195 |
|
|
#define decNumberIsZero(dn) (*(dn)->lsu==0 \
|
| 196 |
|
|
&& (dn)->digits==1 \
|
| 197 |
|
|
&& (((dn)->bits&DECSPECIAL)==0))
|
| 198 |
|
|
#define decNumberRadix(dn) (10)
|
| 199 |
|
|
|
| 200 |
|
|
#endif
|