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| 1 /* ------------------------------------------------------------------ */ |
| 2 /* Decimal Context 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 #include "unicode/utypes.h" |
| 31 |
| 32 /* */ |
| 33 /* Context variables must always have valid values: */ |
| 34 /* */ |
| 35 /* status -- [any bits may be cleared, but not set, by user] */ |
| 36 /* round -- must be one of the enumerated rounding modes */ |
| 37 /* */ |
| 38 /* The following variables are implied for fixed size formats (i.e., */ |
| 39 /* they are ignored) but should still be set correctly in case used */ |
| 40 /* with decNumber functions: */ |
| 41 /* */ |
| 42 /* clamp -- must be either 0 or 1 */ |
| 43 /* digits -- must be in the range 1 through 999999999 */ |
| 44 /* emax -- must be in the range 0 through 999999999 */ |
| 45 /* emin -- must be in the range 0 through -999999999 */ |
| 46 /* extended -- must be either 0 or 1 [present only if DECSUBSET] */ |
| 47 /* traps -- only defined bits may be set */ |
| 48 /* */ |
| 49 /* ------------------------------------------------------------------ */ |
| 50 |
| 51 #if !defined(DECCONTEXT) |
| 52 #define DECCONTEXT |
| 53 #define DECCNAME "decContext" /* Short name */ |
| 54 #define DECCFULLNAME "Decimal Context Descriptor" /* Verbose name */ |
| 55 #define DECCAUTHOR "Mike Cowlishaw" /* Who to blame */ |
| 56 |
| 57 #if !defined(int32_t) |
| 58 /* #include <stdint.h> */ /* C99 standard integers */ |
| 59 #endif |
| 60 #include <stdio.h> /* for printf, etc. */ |
| 61 #include <signal.h> /* for traps */ |
| 62 |
| 63 /* Extended flags setting -- set this to 0 to use only IEEE flags */ |
| 64 #if !defined(DECEXTFLAG) |
| 65 #define DECEXTFLAG 1 /* 1=enable extended flags */ |
| 66 #endif |
| 67 |
| 68 /* Conditional code flag -- set this to 0 for best performance */ |
| 69 #if !defined(DECSUBSET) |
| 70 #define DECSUBSET 0 /* 1=enable subset arithmetic */ |
| 71 #endif |
| 72 |
| 73 /* Context for operations, with associated constants */ |
| 74 enum rounding { |
| 75 DEC_ROUND_CEILING, /* round towards +infinity */ |
| 76 DEC_ROUND_UP, /* round away from 0 */ |
| 77 DEC_ROUND_HALF_UP, /* 0.5 rounds up */ |
| 78 DEC_ROUND_HALF_EVEN, /* 0.5 rounds to nearest even */ |
| 79 DEC_ROUND_HALF_DOWN, /* 0.5 rounds down */ |
| 80 DEC_ROUND_DOWN, /* round towards 0 (truncate) */ |
| 81 DEC_ROUND_FLOOR, /* round towards -infinity */ |
| 82 DEC_ROUND_05UP, /* round for reround */ |
| 83 DEC_ROUND_MAX /* enum must be less than this */ |
| 84 }; |
| 85 #define DEC_ROUND_DEFAULT DEC_ROUND_HALF_EVEN; |
| 86 |
| 87 typedef struct { |
| 88 int32_t digits; /* working precision */ |
| 89 int32_t emax; /* maximum positive exponent */ |
| 90 int32_t emin; /* minimum negative exponent */ |
| 91 enum rounding round; /* rounding mode */ |
| 92 uint32_t traps; /* trap-enabler flags */ |
| 93 uint32_t status; /* status flags */ |
| 94 uint8_t clamp; /* flag: apply IEEE exponent clamp */ |
| 95 #if DECSUBSET |
| 96 uint8_t extended; /* flag: special-values allowed */ |
| 97 #endif |
| 98 } decContext; |
| 99 |
| 100 /* Maxima and Minima for context settings */ |
| 101 #define DEC_MAX_DIGITS 999999999 |
| 102 #define DEC_MIN_DIGITS 1 |
| 103 #define DEC_MAX_EMAX 999999999 |
| 104 #define DEC_MIN_EMAX 0 |
| 105 #define DEC_MAX_EMIN 0 |
| 106 #define DEC_MIN_EMIN -999999999 |
| 107 #define DEC_MAX_MATH 999999 /* max emax, etc., for math funcs. */ |
| 108 |
| 109 /* Classifications for decimal numbers, aligned with 754 (note that */ |
| 110 /* 'normal' and 'subnormal' are meaningful only with a decContext */ |
| 111 /* or a fixed size format). */ |
| 112 enum decClass { |
| 113 DEC_CLASS_SNAN, |
| 114 DEC_CLASS_QNAN, |
| 115 DEC_CLASS_NEG_INF, |
| 116 DEC_CLASS_NEG_NORMAL, |
| 117 DEC_CLASS_NEG_SUBNORMAL, |
| 118 DEC_CLASS_NEG_ZERO, |
| 119 DEC_CLASS_POS_ZERO, |
| 120 DEC_CLASS_POS_SUBNORMAL, |
| 121 DEC_CLASS_POS_NORMAL, |
| 122 DEC_CLASS_POS_INF |
| 123 }; |
| 124 /* Strings for the decClasses */ |
| 125 #define DEC_ClassString_SN "sNaN" |
| 126 #define DEC_ClassString_QN "NaN" |
| 127 #define DEC_ClassString_NI "-Infinity" |
| 128 #define DEC_ClassString_NN "-Normal" |
| 129 #define DEC_ClassString_NS "-Subnormal" |
| 130 #define DEC_ClassString_NZ "-Zero" |
| 131 #define DEC_ClassString_PZ "+Zero" |
| 132 #define DEC_ClassString_PS "+Subnormal" |
| 133 #define DEC_ClassString_PN "+Normal" |
| 134 #define DEC_ClassString_PI "+Infinity" |
| 135 #define DEC_ClassString_UN "Invalid" |
| 136 |
| 137 /* Trap-enabler and Status flags (exceptional conditions), and */ |
| 138 /* their names. The top byte is reserved for internal use */ |
| 139 #if DECEXTFLAG |
| 140 /* Extended flags */ |
| 141 #define DEC_Conversion_syntax 0x00000001 |
| 142 #define DEC_Division_by_zero 0x00000002 |
| 143 #define DEC_Division_impossible 0x00000004 |
| 144 #define DEC_Division_undefined 0x00000008 |
| 145 #define DEC_Insufficient_storage 0x00000010 /* [when malloc fails] */ |
| 146 #define DEC_Inexact 0x00000020 |
| 147 #define DEC_Invalid_context 0x00000040 |
| 148 #define DEC_Invalid_operation 0x00000080 |
| 149 #if DECSUBSET |
| 150 #define DEC_Lost_digits 0x00000100 |
| 151 #endif |
| 152 #define DEC_Overflow 0x00000200 |
| 153 #define DEC_Clamped 0x00000400 |
| 154 #define DEC_Rounded 0x00000800 |
| 155 #define DEC_Subnormal 0x00001000 |
| 156 #define DEC_Underflow 0x00002000 |
| 157 #else |
| 158 /* IEEE flags only */ |
| 159 #define DEC_Conversion_syntax 0x00000010 |
| 160 #define DEC_Division_by_zero 0x00000002 |
| 161 #define DEC_Division_impossible 0x00000010 |
| 162 #define DEC_Division_undefined 0x00000010 |
| 163 #define DEC_Insufficient_storage 0x00000010 /* [when malloc fails] */ |
| 164 #define DEC_Inexact 0x00000001 |
| 165 #define DEC_Invalid_context 0x00000010 |
| 166 #define DEC_Invalid_operation 0x00000010 |
| 167 #if DECSUBSET |
| 168 #define DEC_Lost_digits 0x00000000 |
| 169 #endif |
| 170 #define DEC_Overflow 0x00000008 |
| 171 #define DEC_Clamped 0x00000000 |
| 172 #define DEC_Rounded 0x00000000 |
| 173 #define DEC_Subnormal 0x00000000 |
| 174 #define DEC_Underflow 0x00000004 |
| 175 #endif |
| 176 |
| 177 /* IEEE 754 groupings for the flags */ |
| 178 /* [DEC_Clamped, DEC_Lost_digits, DEC_Rounded, and DEC_Subnormal */ |
| 179 /* are not in IEEE 754] */ |
| 180 #define DEC_IEEE_754_Division_by_zero (DEC_Division_by_zero) |
| 181 #if DECSUBSET |
| 182 #define DEC_IEEE_754_Inexact (DEC_Inexact | DEC_Lost_digits) |
| 183 #else |
| 184 #define DEC_IEEE_754_Inexact (DEC_Inexact) |
| 185 #endif |
| 186 #define DEC_IEEE_754_Invalid_operation (DEC_Conversion_syntax | \ |
| 187 DEC_Division_impossible | \ |
| 188 DEC_Division_undefined | \ |
| 189 DEC_Insufficient_storage | \ |
| 190 DEC_Invalid_context | \ |
| 191 DEC_Invalid_operation) |
| 192 #define DEC_IEEE_754_Overflow (DEC_Overflow) |
| 193 #define DEC_IEEE_754_Underflow (DEC_Underflow) |
| 194 |
| 195 /* flags which are normally errors (result is qNaN, infinite, or 0) */ |
| 196 #define DEC_Errors (DEC_IEEE_754_Division_by_zero | \ |
| 197 DEC_IEEE_754_Invalid_operation | \ |
| 198 DEC_IEEE_754_Overflow | DEC_IEEE_754_Underflow) |
| 199 /* flags which cause a result to become qNaN */ |
| 200 #define DEC_NaNs DEC_IEEE_754_Invalid_operation |
| 201 |
| 202 /* flags which are normally for information only (finite results) */ |
| 203 #if DECSUBSET |
| 204 #define DEC_Information (DEC_Clamped | DEC_Rounded | DEC_Inexact \ |
| 205 | DEC_Lost_digits) |
| 206 #else |
| 207 #define DEC_Information (DEC_Clamped | DEC_Rounded | DEC_Inexact) |
| 208 #endif |
| 209 |
| 210 /* IEEE 854 names (for compatibility with older decNumber versions) */ |
| 211 #define DEC_IEEE_854_Division_by_zero DEC_IEEE_754_Division_by_zero |
| 212 #define DEC_IEEE_854_Inexact DEC_IEEE_754_Inexact |
| 213 #define DEC_IEEE_854_Invalid_operation DEC_IEEE_754_Invalid_operation |
| 214 #define DEC_IEEE_854_Overflow DEC_IEEE_754_Overflow |
| 215 #define DEC_IEEE_854_Underflow DEC_IEEE_754_Underflow |
| 216 |
| 217 /* Name strings for the exceptional conditions */ |
| 218 #define DEC_Condition_CS "Conversion syntax" |
| 219 #define DEC_Condition_DZ "Division by zero" |
| 220 #define DEC_Condition_DI "Division impossible" |
| 221 #define DEC_Condition_DU "Division undefined" |
| 222 #define DEC_Condition_IE "Inexact" |
| 223 #define DEC_Condition_IS "Insufficient storage" |
| 224 #define DEC_Condition_IC "Invalid context" |
| 225 #define DEC_Condition_IO "Invalid operation" |
| 226 #if DECSUBSET |
| 227 #define DEC_Condition_LD "Lost digits" |
| 228 #endif |
| 229 #define DEC_Condition_OV "Overflow" |
| 230 #define DEC_Condition_PA "Clamped" |
| 231 #define DEC_Condition_RO "Rounded" |
| 232 #define DEC_Condition_SU "Subnormal" |
| 233 #define DEC_Condition_UN "Underflow" |
| 234 #define DEC_Condition_ZE "No status" |
| 235 #define DEC_Condition_MU "Multiple status" |
| 236 #define DEC_Condition_Length 21 /* length of the longest string, */ |
| 237 /* including terminator */ |
| 238 |
| 239 /* Initialization descriptors, used by decContextDefault */ |
| 240 #define DEC_INIT_BASE 0 |
| 241 #define DEC_INIT_DECIMAL32 32 |
| 242 #define DEC_INIT_DECIMAL64 64 |
| 243 #define DEC_INIT_DECIMAL128 128 |
| 244 /* Synonyms */ |
| 245 #define DEC_INIT_DECSINGLE DEC_INIT_DECIMAL32 |
| 246 #define DEC_INIT_DECDOUBLE DEC_INIT_DECIMAL64 |
| 247 #define DEC_INIT_DECQUAD DEC_INIT_DECIMAL128 |
| 248 |
| 249 /* decContext routines */ |
| 250 U_INTERNAL decContext * U_EXPORT2 uprv_decContextClearStatus(decContext *, ui
nt32_t); |
| 251 U_INTERNAL decContext * U_EXPORT2 uprv_decContextDefault(decContext *, int32_
t); |
| 252 U_INTERNAL enum rounding U_EXPORT2 uprv_decContextGetRounding(decContext *); |
| 253 U_INTERNAL uint32_t U_EXPORT2 uprv_decContextGetStatus(decContext *); |
| 254 U_INTERNAL decContext * U_EXPORT2 uprv_decContextRestoreStatus(decContext *,
uint32_t, uint32_t); |
| 255 U_INTERNAL uint32_t U_EXPORT2 uprv_decContextSaveStatus(decContext *, uin
t32_t); |
| 256 U_INTERNAL decContext * U_EXPORT2 uprv_decContextSetRounding(decContext *, en
um rounding); |
| 257 U_INTERNAL decContext * U_EXPORT2 uprv_decContextSetStatus(decContext *, uint
32_t); |
| 258 U_INTERNAL decContext * U_EXPORT2 uprv_decContextSetStatusFromString(decConte
xt *, const char *); |
| 259 U_INTERNAL decContext * U_EXPORT2 uprv_decContextSetStatusFromStringQuiet(dec
Context *, const char *); |
| 260 U_INTERNAL decContext * U_EXPORT2 uprv_decContextSetStatusQuiet(decContext *,
uint32_t); |
| 261 U_INTERNAL const char * U_EXPORT2 uprv_decContextStatusToString(const decCont
ext *); |
| 262 U_INTERNAL int32_t U_EXPORT2 uprv_decContextTestEndian(uint8_t); |
| 263 U_INTERNAL uint32_t U_EXPORT2 uprv_decContextTestSavedStatus(uint32_t, ui
nt32_t); |
| 264 U_INTERNAL uint32_t U_EXPORT2 uprv_decContextTestStatus(decContext *, uin
t32_t); |
| 265 U_INTERNAL decContext * U_EXPORT2 uprv_decContextZeroStatus(decContext *); |
| 266 |
| 267 #endif |
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