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1 // © 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 #include "unicode/calendar.h"
18 #if !UCONFIG_NO_FORMATTING
19 
20 #include "unicode/ures.h"
21 #include "unicode/locid.h"
22 #include "putilimp.h"
23 
24 U_NAMESPACE_BEGIN
25 
26 /**
27  * A utility class providing mathematical functions used by time zone
28  * and calendar code.  Do not instantiate.  Formerly just named 'Math'.
29  * @internal
30  */
31 class ClockMath {
32  public:
33     /**
34      * Divide two integers, returning the floor of the quotient.
35      * Unlike the built-in division, this is mathematically
36      * well-behaved.  E.g., <code>-1/4</code> => 0 but
37      * <code>floorDivide(-1,4)</code> => -1.
38      * @param numerator the numerator
39      * @param denominator a divisor which must be != 0
40      * @return the floor of the quotient
41      */
42     static int32_t floorDivide(int32_t numerator, int32_t denominator);
43 
44     /**
45      * Divide two integers, returning the floor of the quotient.
46      * Unlike the built-in division, this is mathematically
47      * well-behaved.  E.g., <code>-1/4</code> => 0 but
48      * <code>floorDivide(-1,4)</code> => -1.
49      * @param numerator the numerator
50      * @param denominator a divisor which must be != 0
51      * @return the floor of the quotient
52      */
53     static int64_t floorDivideInt64(int64_t numerator, int64_t denominator);
54 
55     /**
56      * Divide two numbers, returning the floor of the quotient.
57      * Unlike the built-in division, this is mathematically
58      * well-behaved.  E.g., <code>-1/4</code> => 0 but
59      * <code>floorDivide(-1,4)</code> => -1.
60      * @param numerator the numerator
61      * @param denominator a divisor which must be != 0
62      * @return the floor of the quotient
63      */
64     static inline double floorDivide(double numerator, double denominator);
65 
66     /**
67      * Divide two numbers, returning the floor of the quotient and
68      * the modulus remainder.  Unlike the built-in division, this is
69      * mathematically well-behaved.  E.g., <code>-1/4</code> => 0 and
70      * <code>-1%4</code> => -1, but <code>floorDivide(-1,4)</code> =>
71      * -1 with <code>remainder</code> => 3.  NOTE: If numerator is
72      * too large, the returned quotient may overflow.
73      * @param numerator the numerator
74      * @param denominator a divisor which must be != 0
75      * @param remainder output parameter to receive the
76      * remainder. Unlike <code>numerator % denominator</code>, this
77      * will always be non-negative, in the half-open range <code>[0,
78      * |denominator|)</code>.
79      * @return the floor of the quotient
80      */
81     static int32_t floorDivide(int32_t numerator, int32_t denominator,
82                                int32_t* remainder);
83 
84     /**
85      * Divide two numbers, returning the floor of the quotient and
86      * the modulus remainder.  Unlike the built-in division, this is
87      * mathematically well-behaved.  E.g., <code>-1/4</code> => 0 and
88      * <code>-1%4</code> => -1, but <code>floorDivide(-1,4)</code> =>
89      * -1 with <code>remainder</code> => 3.  NOTE: If numerator is
90      * too large, the returned quotient may overflow.
91      * @param numerator the numerator
92      * @param denominator a divisor which must be != 0
93      * @param remainder output parameter to receive the
94      * remainder. Unlike <code>numerator % denominator</code>, this
95      * will always be non-negative, in the half-open range <code>[0,
96      * |denominator|)</code>.
97      * @return the floor of the quotient
98      */
99     static double floorDivide(double numerator, int32_t denominator,
100                                int32_t* remainder);
101 
102     /**
103      * For a positive divisor, return the quotient and remainder
104      * such that dividend = quotient*divisor + remainder and
105      * 0 <= remainder < divisor.
106      *
107      * Works around edge-case bugs.  Handles pathological input
108      * (dividend >> divisor) reasonably.
109      *
110      * Calling with a divisor <= 0 is disallowed.
111      */
112     static double floorDivide(double dividend, double divisor,
113                               double* remainder);
114 };
115 
116 // Useful millisecond constants
117 #define kOneDay    (1.0 * U_MILLIS_PER_DAY)       //  86,400,000
118 #define kOneHour   (60*60*1000)
119 #define kOneMinute 60000
120 #define kOneSecond 1000
121 #define kOneMillisecond  1
122 #define kOneWeek   (7.0 * kOneDay) // 604,800,000
123 
124 // Epoch constants
125 #define kJan1_1JulianDay  1721426 // January 1, year 1 (Gregorian)
126 
127 #define kEpochStartAsJulianDay  2440588 // January 1, 1970 (Gregorian)
128 
129 #define kEpochYear              1970
130 
131 
132 #define kEarliestViableMillis  -185331720384000000.0  // minimum representable by julian day  -1e17
133 
134 #define kLatestViableMillis     185753453990400000.0  // max representable by julian day      +1e17
135 
136 /**
137  * The minimum supported Julian day.  This value is equivalent to
138  * MIN_MILLIS.
139  */
140 #define MIN_JULIAN (-0x7F000000)
141 
142 /**
143  * The minimum supported epoch milliseconds.  This value is equivalent
144  * to MIN_JULIAN.
145  */
146 #define MIN_MILLIS ((MIN_JULIAN - kEpochStartAsJulianDay) * kOneDay)
147 
148 /**
149  * The maximum supported Julian day.  This value is equivalent to
150  * MAX_MILLIS.
151  */
152 #define MAX_JULIAN (+0x7F000000)
153 
154 /**
155  * The maximum supported epoch milliseconds.  This value is equivalent
156  * to MAX_JULIAN.
157  */
158 #define MAX_MILLIS ((MAX_JULIAN - kEpochStartAsJulianDay) * kOneDay)
159 
160 /**
161  * A utility class providing proleptic Gregorian calendar functions
162  * used by time zone and calendar code.  Do not instantiate.
163  *
164  * Note:  Unlike GregorianCalendar, all computations performed by this
165  * class occur in the pure proleptic GregorianCalendar.
166  */
167 class Grego {
168  public:
169     /**
170      * Return true if the given year is a leap year.
171      * @param year Gregorian year, with 0 == 1 BCE, -1 == 2 BCE, etc.
172      * @return true if the year is a leap year
173      */
174     static inline UBool isLeapYear(int32_t year);
175 
176     /**
177      * Return the number of days in the given month.
178      * @param year Gregorian year, with 0 == 1 BCE, -1 == 2 BCE, etc.
179      * @param month 0-based month, with 0==Jan
180      * @return the number of days in the given month
181      */
182     static inline int8_t monthLength(int32_t year, int32_t month);
183 
184     /**
185      * Return the length of a previous month of the Gregorian calendar.
186      * @param y the extended year
187      * @param m the 0-based month number
188      * @return the number of days in the month previous to the given month
189      */
190     static inline int8_t previousMonthLength(int y, int m);
191 
192     /**
193      * Convert a year, month, and day-of-month, given in the proleptic
194      * Gregorian calendar, to 1970 epoch days.
195      * @param year Gregorian year, with 0 == 1 BCE, -1 == 2 BCE, etc.
196      * @param month 0-based month, with 0==Jan
197      * @param dom 1-based day of month
198      * @return the day number, with day 0 == Jan 1 1970
199      */
200     static int64_t fieldsToDay(int32_t year, int32_t month, int32_t dom);
201 
202     /**
203      * Convert a 1970-epoch day number to proleptic Gregorian year,
204      * month, day-of-month, and day-of-week.
205      * @param day 1970-epoch day
206      * @param year output parameter to receive year
207      * @param month output parameter to receive month (0-based, 0==Jan)
208      * @param dom output parameter to receive day-of-month (1-based)
209      * @param dow output parameter to receive day-of-week (1-based, 1==Sun)
210      * @param doy output parameter to receive day-of-year (1-based)
211      * @param status error code.
212      */
213     static void dayToFields(int32_t day, int32_t& year, int32_t& month,
214                             int32_t& dom, int32_t& dow, int32_t& doy, UErrorCode& status);
215 
216     /**
217      * Convert a 1970-epoch day number to proleptic Gregorian year,
218      * month, day-of-month, and day-of-week.
219      * @param day 1970-epoch day
220      * @param year output parameter to receive year
221      * @param month output parameter to receive month (0-based, 0==Jan)
222      * @param dom output parameter to receive day-of-month (1-based)
223      * @param dow output parameter to receive day-of-week (1-based, 1==Sun)
224      * @param status error code.
225      */
226     static inline void dayToFields(int32_t day, int32_t& year, int32_t& month,
227                                    int32_t& dom, int32_t& dow, UErrorCode& status);
228 
229     /**
230      * Convert a 1970-epoch milliseconds to proleptic Gregorian year,
231      * month, day-of-month, and day-of-week, day of year and millis-in-day.
232      * @param time 1970-epoch milliseconds
233      * @param year output parameter to receive year
234      * @param month output parameter to receive month (0-based, 0==Jan)
235      * @param dom output parameter to receive day-of-month (1-based)
236      * @param dow output parameter to receive day-of-week (1-based, 1==Sun)
237      * @param doy output parameter to receive day-of-year (1-based)
238      * @param mid output parameter to receive millis-in-day
239      * @param status error code.
240      */
241     static void timeToFields(UDate time, int32_t& year, int32_t& month,
242                             int32_t& dom, int32_t& dow, int32_t& doy, int32_t& mid, UErrorCode& status);
243 
244     /**
245      * Return the day of week on the 1970-epoch day
246      * @param day the 1970-epoch day
247      * @return the day of week
248      */
249     static int32_t dayOfWeek(int32_t day);
250 
251     /**
252      * Returns the ordinal number for the specified day of week within the month.
253      * The valid return value is 1, 2, 3, 4 or -1.
254      * @param year Gregorian year, with 0 == 1 BCE, -1 == 2 BCE, etc.
255      * @param month 0-based month, with 0==Jan
256      * @param dom 1-based day of month
257      * @return The ordinal number for the specified day of week within the month
258      */
259     static int32_t dayOfWeekInMonth(int32_t year, int32_t month, int32_t dom);
260 
261     /**
262      * Converts Julian day to time as milliseconds.
263      * @param julian the given Julian day number.
264      * @return time as milliseconds.
265      * @internal
266      */
267     static inline double julianDayToMillis(int32_t julian);
268 
269     /**
270      * Converts time as milliseconds to Julian day.
271      * @param millis the given milliseconds.
272      * @return the Julian day number.
273      * @internal
274      */
275     static inline int32_t millisToJulianDay(double millis);
276 
277     /**
278      * Calculates the Gregorian day shift value for an extended year.
279      * @param eyear Extended year
280      * @returns number of days to ADD to Julian in order to convert from J->G
281      */
282     static inline int32_t gregorianShift(int32_t eyear);
283 
284  private:
285     static const int16_t DAYS_BEFORE[24];
286     static const int8_t MONTH_LENGTH[24];
287 };
288 
floorDivide(double numerator,double denominator)289 inline double ClockMath::floorDivide(double numerator, double denominator) {
290     return uprv_floor(numerator / denominator);
291 }
292 
isLeapYear(int32_t year)293 inline UBool Grego::isLeapYear(int32_t year) {
294     // year&0x3 == year%4
295     return ((year&0x3) == 0) && ((year%100 != 0) || (year%400 == 0));
296 }
297 
298 inline int8_t
monthLength(int32_t year,int32_t month)299 Grego::monthLength(int32_t year, int32_t month) {
300     return MONTH_LENGTH[month + (isLeapYear(year) ? 12 : 0)];
301 }
302 
303 inline int8_t
previousMonthLength(int y,int m)304 Grego::previousMonthLength(int y, int m) {
305   return (m > 0) ? monthLength(y, m-1) : 31;
306 }
307 
dayToFields(int32_t day,int32_t & year,int32_t & month,int32_t & dom,int32_t & dow,UErrorCode & status)308 inline void Grego::dayToFields(int32_t day, int32_t& year, int32_t& month,
309                                int32_t& dom, int32_t& dow, UErrorCode& status) {
310   int32_t doy_unused;
311   dayToFields(day,year,month,dom,dow,doy_unused, status);
312 }
313 
julianDayToMillis(int32_t julian)314 inline double Grego::julianDayToMillis(int32_t julian)
315 {
316   return (static_cast<double>(julian) - kEpochStartAsJulianDay) * kOneDay;
317 }
318 
millisToJulianDay(double millis)319 inline int32_t Grego::millisToJulianDay(double millis) {
320   return static_cast<int32_t>(kEpochStartAsJulianDay + ClockMath::floorDivide(millis, kOneDay));
321 }
322 
gregorianShift(int32_t eyear)323 inline int32_t Grego::gregorianShift(int32_t eyear) {
324   int64_t y = static_cast<int64_t>(eyear) - 1;
325   int64_t gregShift = ClockMath::floorDivideInt64(y, 400LL) - ClockMath::floorDivideInt64(y, 100LL) + 2;
326   return static_cast<int32_t>(gregShift);
327 }
328 
329 #define IMPL_SYSTEM_DEFAULT_CENTURY(T, U) \
330   /** \
331    * The system maintains a static default century start date and Year.  They \
332    * are initialized the first time they are used.  Once the system default \
333    * century date and year are set, they do not change \
334    */ \
335   namespace { \
336   static UDate           gSystemDefaultCenturyStart       = DBL_MIN; \
337   static int32_t         gSystemDefaultCenturyStartYear   = -1; \
338   static icu::UInitOnce  gSystemDefaultCenturyInit        {}; \
339   static void U_CALLCONV \
340   initializeSystemDefaultCentury() { \
341       UErrorCode status = U_ZERO_ERROR; \
342       T calendar(U, status); \
343       /* initialize systemDefaultCentury and systemDefaultCenturyYear based */ \
344       /* on the current time.  They'll be set to 80 years before */ \
345       /* the current time. */ \
346       if (U_FAILURE(status)) { \
347           return; \
348       } \
349       calendar.setTime(Calendar::getNow(), status); \
350       calendar.add(UCAL_YEAR, -80, status); \
351       gSystemDefaultCenturyStart = calendar.getTime(status); \
352       gSystemDefaultCenturyStartYear = calendar.get(UCAL_YEAR, status); \
353       /* We have no recourse upon failure unless we want to propagate the */ \
354       /* failure out. */ \
355   } \
356   }  /* namespace */ \
357   UDate T::defaultCenturyStart() const { \
358       /* lazy-evaluate systemDefaultCenturyStart */ \
359       umtx_initOnce(gSystemDefaultCenturyInit, &initializeSystemDefaultCentury); \
360       return gSystemDefaultCenturyStart; \
361   }   \
362   int32_t T::defaultCenturyStartYear() const { \
363       /* lazy-evaluate systemDefaultCenturyStart */ \
364       umtx_initOnce(gSystemDefaultCenturyInit, &initializeSystemDefaultCentury); \
365       return gSystemDefaultCenturyStartYear; \
366   } \
367   UBool T::haveDefaultCentury() const { return true; }
368 
369 U_NAMESPACE_END
370 
371 #endif // !UCONFIG_NO_FORMATTING
372 #endif // GREGOIMP_H
373 
374 //eof
375