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      1 // Copyright (C) 2016 and later: Unicode, Inc. and others.
      2 // License & terms of use: http://www.unicode.org/copyright.html
      3 /*
      4  **********************************************************************
      5  * Copyright (c) 2003-2008, International Business Machines
      6  * Corporation and others.  All Rights Reserved.
      7  **********************************************************************
      8  * Author: Alan Liu
      9  * Created: September 2 2003
     10  * Since: ICU 2.8
     11  **********************************************************************
     12  */
     13 
     14 #ifndef GREGOIMP_H
     15 #define GREGOIMP_H
     16 #include "unicode/utypes.h"
     17 #if !UCONFIG_NO_FORMATTING
     18 
     19 #include "unicode/ures.h"
     20 #include "unicode/locid.h"
     21 #include "putilimp.h"
     22 
     23 U_NAMESPACE_BEGIN
     24 
     25 /**
     26  * A utility class providing mathematical functions used by time zone
     27  * and calendar code.  Do not instantiate.  Formerly just named 'Math'.
     28  * @internal
     29  */
     30 class ClockMath {
     31  public:
     32     /**
     33      * Divide two integers, returning the floor of the quotient.
     34      * Unlike the built-in division, this is mathematically
     35      * well-behaved.  E.g., <code>-1/4</code> => 0 but
     36      * <code>floorDivide(-1,4)</code> => -1.
     37      * @param numerator the numerator
     38      * @param denominator a divisor which must be != 0
     39      * @return the floor of the quotient
     40      */
     41     static int32_t floorDivide(int32_t numerator, int32_t denominator);
     42 
     43     /**
     44      * Divide two numbers, returning the floor of the quotient.
     45      * Unlike the built-in division, this is mathematically
     46      * well-behaved.  E.g., <code>-1/4</code> => 0 but
     47      * <code>floorDivide(-1,4)</code> => -1.
     48      * @param numerator the numerator
     49      * @param denominator a divisor which must be != 0
     50      * @return the floor of the quotient
     51      */
     52     static inline double floorDivide(double numerator, double denominator);
     53 
     54     /**
     55      * Divide two numbers, returning the floor of the quotient and
     56      * the modulus remainder.  Unlike the built-in division, this is
     57      * mathematically well-behaved.  E.g., <code>-1/4</code> => 0 and
     58      * <code>-1%4</code> => -1, but <code>floorDivide(-1,4)</code> =>
     59      * -1 with <code>remainder</code> => 3.  NOTE: If numerator is
     60      * too large, the returned quotient may overflow.
     61      * @param numerator the numerator
     62      * @param denominator a divisor which must be != 0
     63      * @param remainder output parameter to receive the
     64      * remainder. Unlike <code>numerator % denominator</code>, this
     65      * will always be non-negative, in the half-open range <code>[0,
     66      * |denominator|)</code>.
     67      * @return the floor of the quotient
     68      */
     69     static int32_t floorDivide(double numerator, int32_t denominator,
     70                                int32_t& remainder);
     71 
     72     /**
     73      * For a positive divisor, return the quotient and remainder
     74      * such that dividend = quotient*divisor + remainder and
     75      * 0 <= remainder < divisor.
     76      *
     77      * Works around edge-case bugs.  Handles pathological input
     78      * (divident >> divisor) reasonably.
     79      *
     80      * Calling with a divisor <= 0 is disallowed.
     81      */
     82     static double floorDivide(double dividend, double divisor,
     83                               double& remainder);
     84 };
     85 
     86 // Useful millisecond constants
     87 #define kOneDay    (1.0 * U_MILLIS_PER_DAY)       //  86,400,000
     88 #define kOneHour   (60*60*1000)
     89 #define kOneMinute 60000
     90 #define kOneSecond 1000
     91 #define kOneMillisecond  1
     92 #define kOneWeek   (7.0 * kOneDay) // 604,800,000
     93 
     94 // Epoch constants
     95 #define kJan1_1JulianDay  1721426 // January 1, year 1 (Gregorian)
     96 
     97 #define kEpochStartAsJulianDay  2440588 // January 1, 1970 (Gregorian)
     98 
     99 #define kEpochYear              1970
    100 
    101 
    102 #define kEarliestViableMillis  -185331720384000000.0  // minimum representable by julian day  -1e17
    103 
    104 #define kLatestViableMillis     185753453990400000.0  // max representable by julian day      +1e17
    105 
    106 /**
    107  * The minimum supported Julian day.  This value is equivalent to
    108  * MIN_MILLIS.
    109  */
    110 #define MIN_JULIAN (-0x7F000000)
    111 
    112 /**
    113  * The minimum supported epoch milliseconds.  This value is equivalent
    114  * to MIN_JULIAN.
    115  */
    116 #define MIN_MILLIS ((MIN_JULIAN - kEpochStartAsJulianDay) * kOneDay)
    117 
    118 /**
    119  * The maximum supported Julian day.  This value is equivalent to
    120  * MAX_MILLIS.
    121  */
    122 #define MAX_JULIAN (+0x7F000000)
    123 
    124 /**
    125  * The maximum supported epoch milliseconds.  This value is equivalent
    126  * to MAX_JULIAN.
    127  */
    128 #define MAX_MILLIS ((MAX_JULIAN - kEpochStartAsJulianDay) * kOneDay)
    129 
    130 /**
    131  * A utility class providing proleptic Gregorian calendar functions
    132  * used by time zone and calendar code.  Do not instantiate.
    133  *
    134  * Note:  Unlike GregorianCalendar, all computations performed by this
    135  * class occur in the pure proleptic GregorianCalendar.
    136  */
    137 class Grego {
    138  public:
    139     /**
    140      * Return TRUE if the given year is a leap year.
    141      * @param year Gregorian year, with 0 == 1 BCE, -1 == 2 BCE, etc.
    142      * @return TRUE if the year is a leap year
    143      */
    144     static inline UBool isLeapYear(int32_t year);
    145 
    146     /**
    147      * Return the number of days in the given month.
    148      * @param year Gregorian year, with 0 == 1 BCE, -1 == 2 BCE, etc.
    149      * @param month 0-based month, with 0==Jan
    150      * @return the number of days in the given month
    151      */
    152     static inline int8_t monthLength(int32_t year, int32_t month);
    153 
    154     /**
    155      * Return the length of a previous month of the Gregorian calendar.
    156      * @param y the extended year
    157      * @param m the 0-based month number
    158      * @return the number of days in the month previous to the given month
    159      */
    160     static inline int8_t previousMonthLength(int y, int m);
    161 
    162     /**
    163      * Convert a year, month, and day-of-month, given in the proleptic
    164      * Gregorian calendar, to 1970 epoch days.
    165      * @param year Gregorian year, with 0 == 1 BCE, -1 == 2 BCE, etc.
    166      * @param month 0-based month, with 0==Jan
    167      * @param dom 1-based day of month
    168      * @return the day number, with day 0 == Jan 1 1970
    169      */
    170     static double fieldsToDay(int32_t year, int32_t month, int32_t dom);
    171 
    172     /**
    173      * Convert a 1970-epoch day number to proleptic Gregorian year,
    174      * month, day-of-month, and day-of-week.
    175      * @param day 1970-epoch day (integral value)
    176      * @param year output parameter to receive year
    177      * @param month output parameter to receive month (0-based, 0==Jan)
    178      * @param dom output parameter to receive day-of-month (1-based)
    179      * @param dow output parameter to receive day-of-week (1-based, 1==Sun)
    180      * @param doy output parameter to receive day-of-year (1-based)
    181      */
    182     static void dayToFields(double day, int32_t& year, int32_t& month,
    183                             int32_t& dom, int32_t& dow, int32_t& doy);
    184 
    185     /**
    186      * Convert a 1970-epoch day number to proleptic Gregorian year,
    187      * month, day-of-month, and day-of-week.
    188      * @param day 1970-epoch day (integral value)
    189      * @param year output parameter to receive year
    190      * @param month output parameter to receive month (0-based, 0==Jan)
    191      * @param dom output parameter to receive day-of-month (1-based)
    192      * @param dow output parameter to receive day-of-week (1-based, 1==Sun)
    193      */
    194     static inline void dayToFields(double day, int32_t& year, int32_t& month,
    195                                    int32_t& dom, int32_t& dow);
    196 
    197     /**
    198      * Convert a 1970-epoch milliseconds to proleptic Gregorian year,
    199      * month, day-of-month, and day-of-week, day of year and millis-in-day.
    200      * @param time 1970-epoch milliseconds
    201      * @param year output parameter to receive year
    202      * @param month output parameter to receive month (0-based, 0==Jan)
    203      * @param dom output parameter to receive day-of-month (1-based)
    204      * @param dow output parameter to receive day-of-week (1-based, 1==Sun)
    205      * @param doy output parameter to receive day-of-year (1-based)
    206      * @param mid output parameter to recieve millis-in-day
    207      */
    208     static void timeToFields(UDate time, int32_t& year, int32_t& month,
    209                             int32_t& dom, int32_t& dow, int32_t& doy, int32_t& mid);
    210 
    211     /**
    212      * Return the day of week on the 1970-epoch day
    213      * @param day the 1970-epoch day (integral value)
    214      * @return the day of week
    215      */
    216     static int32_t dayOfWeek(double day);
    217 
    218     /**
    219      * Returns the ordinal number for the specified day of week within the month.
    220      * The valid return value is 1, 2, 3, 4 or -1.
    221      * @param year Gregorian year, with 0 == 1 BCE, -1 == 2 BCE, etc.
    222      * @param month 0-based month, with 0==Jan
    223      * @param dom 1-based day of month
    224      * @return The ordinal number for the specified day of week within the month
    225      */
    226     static int32_t dayOfWeekInMonth(int32_t year, int32_t month, int32_t dom);
    227 
    228     /**
    229      * Converts Julian day to time as milliseconds.
    230      * @param julian the given Julian day number.
    231      * @return time as milliseconds.
    232      * @internal
    233      */
    234     static inline double julianDayToMillis(int32_t julian);
    235 
    236     /**
    237      * Converts time as milliseconds to Julian day.
    238      * @param millis the given milliseconds.
    239      * @return the Julian day number.
    240      * @internal
    241      */
    242     static inline int32_t millisToJulianDay(double millis);
    243 
    244     /**
    245      * Calculates the Gregorian day shift value for an extended year.
    246      * @param eyear Extended year
    247      * @returns number of days to ADD to Julian in order to convert from J->G
    248      */
    249     static inline int32_t gregorianShift(int32_t eyear);
    250 
    251  private:
    252     static const int16_t DAYS_BEFORE[24];
    253     static const int8_t MONTH_LENGTH[24];
    254 };
    255 
    256 inline double ClockMath::floorDivide(double numerator, double denominator) {
    257     return uprv_floor(numerator / denominator);
    258 }
    259 
    260 inline UBool Grego::isLeapYear(int32_t year) {
    261     // year&0x3 == year%4
    262     return ((year&0x3) == 0) && ((year%100 != 0) || (year%400 == 0));
    263 }
    264 
    265 inline int8_t
    266 Grego::monthLength(int32_t year, int32_t month) {
    267     return MONTH_LENGTH[month + (isLeapYear(year) ? 12 : 0)];
    268 }
    269 
    270 inline int8_t
    271 Grego::previousMonthLength(int y, int m) {
    272   return (m > 0) ? monthLength(y, m-1) : 31;
    273 }
    274 
    275 inline void Grego::dayToFields(double day, int32_t& year, int32_t& month,
    276                                int32_t& dom, int32_t& dow) {
    277   int32_t doy_unused;
    278   dayToFields(day,year,month,dom,dow,doy_unused);
    279 }
    280 
    281 inline double Grego::julianDayToMillis(int32_t julian)
    282 {
    283   return (julian - kEpochStartAsJulianDay) * kOneDay;
    284 }
    285 
    286 inline int32_t Grego::millisToJulianDay(double millis) {
    287   return (int32_t) (kEpochStartAsJulianDay + ClockMath::floorDivide(millis, (double)kOneDay));
    288 }
    289 
    290 inline int32_t Grego::gregorianShift(int32_t eyear) {
    291   int32_t y = eyear-1;
    292   int32_t gregShift = ClockMath::floorDivide(y, 400) - ClockMath::floorDivide(y, 100) + 2;
    293   return gregShift;
    294 }
    295 
    296 U_NAMESPACE_END
    297 
    298 #endif // !UCONFIG_NO_FORMATTING
    299 #endif // GREGOIMP_H
    300 
    301 //eof
    302