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      1 /* ------------------------------------------------------------------ */
      2 /* Decimal Context module header                                      */
      3 /* ------------------------------------------------------------------ */
      4 /* Copyright (c) IBM Corporation, 2000-2011.   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 (at) 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 #include "putilimp.h"
     32 
     33 /*                                                                    */
     34 /* Context variables must always have valid values:                   */
     35 /*                                                                    */
     36 /*  status   -- [any bits may be cleared, but not set, by user]       */
     37 /*  round    -- must be one of the enumerated rounding modes          */
     38 /*                                                                    */
     39 /* The following variables are implied for fixed size formats (i.e.,  */
     40 /* they are ignored) but should still be set correctly in case used   */
     41 /* with decNumber functions:                                          */
     42 /*                                                                    */
     43 /*  clamp    -- must be either 0 or 1                                 */
     44 /*  digits   -- must be in the range 1 through 999999999              */
     45 /*  emax     -- must be in the range 0 through 999999999              */
     46 /*  emin     -- must be in the range 0 through -999999999             */
     47 /*  extended -- must be either 0 or 1 [present only if DECSUBSET]     */
     48 /*  traps    -- only defined bits may be set                          */
     49 /*                                                                    */
     50 /* ------------------------------------------------------------------ */
     51 
     52 #if !defined(DECCONTEXT)
     53   #define DECCONTEXT
     54   #define DECCNAME     "decContext"                     /* Short name */
     55   #define DECCFULLNAME "Decimal Context Descriptor"   /* Verbose name */
     56   #define DECCAUTHOR   "Mike Cowlishaw"               /* Who to blame */
     57 
     58   #if !defined(int32_t)
     59 /* #include <stdint.h>   */         /* C99 standard integers           */
     60   #endif
     61   #include <stdio.h>               /* for printf, etc.                */
     62   #include <signal.h>              /* for traps                       */
     63 
     64   /* Extended flags setting -- set this to 0 to use only IEEE flags   */
     65   #if !defined(DECEXTFLAG)
     66   #define DECEXTFLAG 1             /* 1=enable extended flags         */
     67   #endif
     68 
     69   /* Conditional code flag -- set this to 0 for best performance      */
     70   #if !defined(DECSUBSET)
     71   #define DECSUBSET  0             /* 1=enable subset arithmetic      */
     72   #endif
     73 
     74   /* Context for operations, with associated constants                */
     75   enum rounding {
     76     DEC_ROUND_CEILING,             /* round towards +infinity         */
     77     DEC_ROUND_UP,                  /* round away from 0               */
     78     DEC_ROUND_HALF_UP,             /* 0.5 rounds up                   */
     79     DEC_ROUND_HALF_EVEN,           /* 0.5 rounds to nearest even      */
     80     DEC_ROUND_HALF_DOWN,           /* 0.5 rounds down                 */
     81     DEC_ROUND_DOWN,                /* round towards 0 (truncate)      */
     82     DEC_ROUND_FLOOR,               /* round towards -infinity         */
     83     DEC_ROUND_05UP,                /* round for reround               */
     84     DEC_ROUND_MAX                  /* enum must be less than this     */
     85     };
     86   #define DEC_ROUND_DEFAULT DEC_ROUND_HALF_EVEN;
     87 
     88   typedef struct {
     89     int32_t  digits;               /* working precision               */
     90     int32_t  emax;                 /* maximum positive exponent       */
     91     int32_t  emin;                 /* minimum negative exponent       */
     92     enum     rounding round;       /* rounding mode                   */
     93     uint32_t traps;                /* trap-enabler flags              */
     94     uint32_t status;               /* status flags                    */
     95     uint8_t  clamp;                /* flag: apply IEEE exponent clamp */
     96     #if DECSUBSET
     97     uint8_t  extended;             /* flag: special-values allowed    */
     98     #endif
     99     } decContext;
    100 
    101   /* Maxima and Minima for context settings                           */
    102   #define DEC_MAX_DIGITS 999999999
    103   #define DEC_MIN_DIGITS         1
    104   #define DEC_MAX_EMAX   999999999
    105   #define DEC_MIN_EMAX           0
    106   #define DEC_MAX_EMIN           0
    107   #define DEC_MIN_EMIN  -999999999
    108   #define DEC_MAX_MATH      999999 /* max emax, etc., for math funcs. */
    109 
    110   /* Classifications for decimal numbers, aligned with 754 (note that */
    111   /* 'normal' and 'subnormal' are meaningful only with a decContext   */
    112   /* or a fixed size format).                                         */
    113   enum decClass {
    114     DEC_CLASS_SNAN,
    115     DEC_CLASS_QNAN,
    116     DEC_CLASS_NEG_INF,
    117     DEC_CLASS_NEG_NORMAL,
    118     DEC_CLASS_NEG_SUBNORMAL,
    119     DEC_CLASS_NEG_ZERO,
    120     DEC_CLASS_POS_ZERO,
    121     DEC_CLASS_POS_SUBNORMAL,
    122     DEC_CLASS_POS_NORMAL,
    123     DEC_CLASS_POS_INF
    124     };
    125   /* Strings for the decClasses */
    126   #define DEC_ClassString_SN  "sNaN"
    127   #define DEC_ClassString_QN  "NaN"
    128   #define DEC_ClassString_NI  "-Infinity"
    129   #define DEC_ClassString_NN  "-Normal"
    130   #define DEC_ClassString_NS  "-Subnormal"
    131   #define DEC_ClassString_NZ  "-Zero"
    132   #define DEC_ClassString_PZ  "+Zero"
    133   #define DEC_ClassString_PS  "+Subnormal"
    134   #define DEC_ClassString_PN  "+Normal"
    135   #define DEC_ClassString_PI  "+Infinity"
    136   #define DEC_ClassString_UN  "Invalid"
    137 
    138   /* Trap-enabler and Status flags (exceptional conditions), and      */
    139   /* their names.  The top byte is reserved for internal use          */
    140   #if DECEXTFLAG
    141     /* Extended flags */
    142     #define DEC_Conversion_syntax    0x00000001
    143     #define DEC_Division_by_zero     0x00000002
    144     #define DEC_Division_impossible  0x00000004
    145     #define DEC_Division_undefined   0x00000008
    146     #define DEC_Insufficient_storage 0x00000010 /* [when malloc fails]  */
    147     #define DEC_Inexact              0x00000020
    148     #define DEC_Invalid_context      0x00000040
    149     #define DEC_Invalid_operation    0x00000080
    150     #if DECSUBSET
    151     #define DEC_Lost_digits          0x00000100
    152     #endif
    153     #define DEC_Overflow             0x00000200
    154     #define DEC_Clamped              0x00000400
    155     #define DEC_Rounded              0x00000800
    156     #define DEC_Subnormal            0x00001000
    157     #define DEC_Underflow            0x00002000
    158   #else
    159     /* IEEE flags only */
    160     #define DEC_Conversion_syntax    0x00000010
    161     #define DEC_Division_by_zero     0x00000002
    162     #define DEC_Division_impossible  0x00000010
    163     #define DEC_Division_undefined   0x00000010
    164     #define DEC_Insufficient_storage 0x00000010 /* [when malloc fails]  */
    165     #define DEC_Inexact              0x00000001
    166     #define DEC_Invalid_context      0x00000010
    167     #define DEC_Invalid_operation    0x00000010
    168     #if DECSUBSET
    169     #define DEC_Lost_digits          0x00000000
    170     #endif
    171     #define DEC_Overflow             0x00000008
    172     #define DEC_Clamped              0x00000000
    173     #define DEC_Rounded              0x00000000
    174     #define DEC_Subnormal            0x00000000
    175     #define DEC_Underflow            0x00000004
    176   #endif
    177 
    178   /* IEEE 754 groupings for the flags                                 */
    179   /* [DEC_Clamped, DEC_Lost_digits, DEC_Rounded, and DEC_Subnormal    */
    180   /* are not in IEEE 754]                                             */
    181   #define DEC_IEEE_754_Division_by_zero  (DEC_Division_by_zero)
    182   #if DECSUBSET
    183   #define DEC_IEEE_754_Inexact           (DEC_Inexact | DEC_Lost_digits)
    184   #else
    185   #define DEC_IEEE_754_Inexact           (DEC_Inexact)
    186   #endif
    187   #define DEC_IEEE_754_Invalid_operation (DEC_Conversion_syntax |     \
    188                                           DEC_Division_impossible |   \
    189                                           DEC_Division_undefined |    \
    190                                           DEC_Insufficient_storage |  \
    191                                           DEC_Invalid_context |       \
    192                                           DEC_Invalid_operation)
    193   #define DEC_IEEE_754_Overflow          (DEC_Overflow)
    194   #define DEC_IEEE_754_Underflow         (DEC_Underflow)
    195 
    196   /* flags which are normally errors (result is qNaN, infinite, or 0) */
    197   #define DEC_Errors (DEC_IEEE_754_Division_by_zero |                 \
    198                       DEC_IEEE_754_Invalid_operation |                \
    199                       DEC_IEEE_754_Overflow | DEC_IEEE_754_Underflow)
    200   /* flags which cause a result to become qNaN                        */
    201   #define DEC_NaNs    DEC_IEEE_754_Invalid_operation
    202 
    203   /* flags which are normally for information only (finite results)   */
    204   #if DECSUBSET
    205   #define DEC_Information (DEC_Clamped | DEC_Rounded | DEC_Inexact    \
    206                           | DEC_Lost_digits)
    207   #else
    208   #define DEC_Information (DEC_Clamped | DEC_Rounded | DEC_Inexact)
    209   #endif
    210 
    211   /* IEEE 854 names (for compatibility with older decNumber versions) */
    212   #define DEC_IEEE_854_Division_by_zero  DEC_IEEE_754_Division_by_zero
    213   #define DEC_IEEE_854_Inexact           DEC_IEEE_754_Inexact
    214   #define DEC_IEEE_854_Invalid_operation DEC_IEEE_754_Invalid_operation
    215   #define DEC_IEEE_854_Overflow          DEC_IEEE_754_Overflow
    216   #define DEC_IEEE_854_Underflow         DEC_IEEE_754_Underflow
    217 
    218   /* Name strings for the exceptional conditions                      */
    219   #define DEC_Condition_CS "Conversion syntax"
    220   #define DEC_Condition_DZ "Division by zero"
    221   #define DEC_Condition_DI "Division impossible"
    222   #define DEC_Condition_DU "Division undefined"
    223   #define DEC_Condition_IE "Inexact"
    224   #define DEC_Condition_IS "Insufficient storage"
    225   #define DEC_Condition_IC "Invalid context"
    226   #define DEC_Condition_IO "Invalid operation"
    227   #if DECSUBSET
    228   #define DEC_Condition_LD "Lost digits"
    229   #endif
    230   #define DEC_Condition_OV "Overflow"
    231   #define DEC_Condition_PA "Clamped"
    232   #define DEC_Condition_RO "Rounded"
    233   #define DEC_Condition_SU "Subnormal"
    234   #define DEC_Condition_UN "Underflow"
    235   #define DEC_Condition_ZE "No status"
    236   #define DEC_Condition_MU "Multiple status"
    237   #define DEC_Condition_Length 21  /* length of the longest string,   */
    238                                    /* including terminator            */
    239 
    240   /* Initialization descriptors, used by decContextDefault            */
    241   #define DEC_INIT_BASE         0
    242   #define DEC_INIT_DECIMAL32   32
    243   #define DEC_INIT_DECIMAL64   64
    244   #define DEC_INIT_DECIMAL128 128
    245   /* Synonyms */
    246   #define DEC_INIT_DECSINGLE  DEC_INIT_DECIMAL32
    247   #define DEC_INIT_DECDOUBLE  DEC_INIT_DECIMAL64
    248   #define DEC_INIT_DECQUAD    DEC_INIT_DECIMAL128
    249 
    250   /* decContext routines                                              */
    251   U_INTERNAL decContext  * U_EXPORT2 uprv_decContextClearStatus(decContext *, uint32_t);
    252   U_INTERNAL decContext  * U_EXPORT2 uprv_decContextDefault(decContext *, int32_t);
    253   U_INTERNAL enum rounding U_EXPORT2 uprv_decContextGetRounding(decContext *);
    254   U_INTERNAL uint32_t      U_EXPORT2 uprv_decContextGetStatus(decContext *);
    255   U_INTERNAL decContext  * U_EXPORT2 uprv_decContextRestoreStatus(decContext *, uint32_t, uint32_t);
    256   U_INTERNAL uint32_t      U_EXPORT2 uprv_decContextSaveStatus(decContext *, uint32_t);
    257   U_INTERNAL decContext  * U_EXPORT2 uprv_decContextSetRounding(decContext *, enum rounding);
    258   U_INTERNAL decContext  * U_EXPORT2 uprv_decContextSetStatus(decContext *, uint32_t);
    259   U_INTERNAL decContext  * U_EXPORT2 uprv_decContextSetStatusFromString(decContext *, const char *);
    260   U_INTERNAL decContext  * U_EXPORT2 uprv_decContextSetStatusFromStringQuiet(decContext *, const char *);
    261   U_INTERNAL decContext  * U_EXPORT2 uprv_decContextSetStatusQuiet(decContext *, uint32_t);
    262   U_INTERNAL const char  * U_EXPORT2 uprv_decContextStatusToString(const decContext *);
    263   U_INTERNAL int32_t       U_EXPORT2 uprv_decContextTestEndian(uint8_t);
    264   U_INTERNAL uint32_t      U_EXPORT2 uprv_decContextTestSavedStatus(uint32_t, uint32_t);
    265   U_INTERNAL uint32_t      U_EXPORT2 uprv_decContextTestStatus(decContext *, uint32_t);
    266   U_INTERNAL decContext  * U_EXPORT2 uprv_decContextZeroStatus(decContext *);
    267 
    268 #endif
    269