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1 // © 2016 and later: Unicode, Inc. and others.
2 // License & terms of use: http://www.unicode.org/copyright.html
4 **********************************************************************
5 * Copyright (c) 2003-2008, International Business Machines
6 * Corporation and others. All Rights Reserved.
7 **********************************************************************
9 * Created: September 2 2003
11 **********************************************************************
16 #include "unicode/utypes.h"
17 #if !UCONFIG_NO_FORMATTING
19 #include "unicode/ures.h"
20 #include "unicode/locid.h"
26 * A utility class providing mathematical functions used by time zone
27 * and calendar code. Do not instantiate. Formerly just named 'Math'.
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
41 static int32_t floorDivide(int32_t numerator
, int32_t denominator
);
44 * Divide two integers, 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
52 static int64_t floorDivide(int64_t numerator
, int64_t denominator
);
55 * Divide two numbers, returning the floor of the quotient.
56 * Unlike the built-in division, this is mathematically
57 * well-behaved. E.g., <code>-1/4</code> => 0 but
58 * <code>floorDivide(-1,4)</code> => -1.
59 * @param numerator the numerator
60 * @param denominator a divisor which must be != 0
61 * @return the floor of the quotient
63 static inline double floorDivide(double numerator
, double denominator
);
66 * Divide two numbers, returning the floor of the quotient and
67 * the modulus remainder. Unlike the built-in division, this is
68 * mathematically well-behaved. E.g., <code>-1/4</code> => 0 and
69 * <code>-1%4</code> => -1, but <code>floorDivide(-1,4)</code> =>
70 * -1 with <code>remainder</code> => 3. NOTE: If numerator is
71 * too large, the returned quotient may overflow.
72 * @param numerator the numerator
73 * @param denominator a divisor which must be != 0
74 * @param remainder output parameter to receive the
75 * remainder. Unlike <code>numerator % denominator</code>, this
76 * will always be non-negative, in the half-open range <code>[0,
77 * |denominator|)</code>.
78 * @return the floor of the quotient
80 static int32_t floorDivide(double numerator
, int32_t denominator
,
84 * For a positive divisor, return the quotient and remainder
85 * such that dividend = quotient*divisor + remainder and
86 * 0 <= remainder < divisor.
88 * Works around edge-case bugs. Handles pathological input
89 * (divident >> divisor) reasonably.
91 * Calling with a divisor <= 0 is disallowed.
93 static double floorDivide(double dividend
, double divisor
,
97 // Useful millisecond constants
98 #define kOneDay (1.0 * U_MILLIS_PER_DAY) // 86,400,000
99 #define kOneHour (60*60*1000)
100 #define kOneMinute 60000
101 #define kOneSecond 1000
102 #define kOneMillisecond 1
103 #define kOneWeek (7.0 * kOneDay) // 604,800,000
106 #define kJan1_1JulianDay 1721426 // January 1, year 1 (Gregorian)
108 #define kEpochStartAsJulianDay 2440588 // January 1, 1970 (Gregorian)
110 #define kEpochYear 1970
113 #define kEarliestViableMillis -185331720384000000.0 // minimum representable by julian day -1e17
115 #define kLatestViableMillis 185753453990400000.0 // max representable by julian day +1e17
118 * The minimum supported Julian day. This value is equivalent to
121 #define MIN_JULIAN (-0x7F000000)
124 * The minimum supported epoch milliseconds. This value is equivalent
127 #define MIN_MILLIS ((MIN_JULIAN - kEpochStartAsJulianDay) * kOneDay)
130 * The maximum supported Julian day. This value is equivalent to
133 #define MAX_JULIAN (+0x7F000000)
136 * The maximum supported epoch milliseconds. This value is equivalent
139 #define MAX_MILLIS ((MAX_JULIAN - kEpochStartAsJulianDay) * kOneDay)
142 * A utility class providing proleptic Gregorian calendar functions
143 * used by time zone and calendar code. Do not instantiate.
145 * Note: Unlike GregorianCalendar, all computations performed by this
146 * class occur in the pure proleptic GregorianCalendar.
151 * Return TRUE if the given year is a leap year.
152 * @param year Gregorian year, with 0 == 1 BCE, -1 == 2 BCE, etc.
153 * @return TRUE if the year is a leap year
155 static inline UBool
isLeapYear(int32_t year
);
158 * Return the number of days in the given month.
159 * @param year Gregorian year, with 0 == 1 BCE, -1 == 2 BCE, etc.
160 * @param month 0-based month, with 0==Jan
161 * @return the number of days in the given month
163 static inline int8_t monthLength(int32_t year
, int32_t month
);
166 * Return the length of a previous month of the Gregorian calendar.
167 * @param y the extended year
168 * @param m the 0-based month number
169 * @return the number of days in the month previous to the given month
171 static inline int8_t previousMonthLength(int y
, int m
);
174 * Convert a year, month, and day-of-month, given in the proleptic
175 * Gregorian calendar, to 1970 epoch days.
176 * @param year Gregorian year, with 0 == 1 BCE, -1 == 2 BCE, etc.
177 * @param month 0-based month, with 0==Jan
178 * @param dom 1-based day of month
179 * @return the day number, with day 0 == Jan 1 1970
181 static double fieldsToDay(int32_t year
, int32_t month
, int32_t dom
);
184 * Convert a 1970-epoch day number to proleptic Gregorian year,
185 * month, day-of-month, and day-of-week.
186 * @param day 1970-epoch day (integral value)
187 * @param year output parameter to receive year
188 * @param month output parameter to receive month (0-based, 0==Jan)
189 * @param dom output parameter to receive day-of-month (1-based)
190 * @param dow output parameter to receive day-of-week (1-based, 1==Sun)
191 * @param doy output parameter to receive day-of-year (1-based)
193 static void dayToFields(double day
, int32_t& year
, int32_t& month
,
194 int32_t& dom
, int32_t& dow
, int32_t& doy
);
197 * Convert a 1970-epoch day number to proleptic Gregorian year,
198 * month, day-of-month, and day-of-week.
199 * @param day 1970-epoch day (integral value)
200 * @param year output parameter to receive year
201 * @param month output parameter to receive month (0-based, 0==Jan)
202 * @param dom output parameter to receive day-of-month (1-based)
203 * @param dow output parameter to receive day-of-week (1-based, 1==Sun)
205 static inline void dayToFields(double day
, int32_t& year
, int32_t& month
,
206 int32_t& dom
, int32_t& dow
);
209 * Convert a 1970-epoch milliseconds to proleptic Gregorian year,
210 * month, day-of-month, and day-of-week, day of year and millis-in-day.
211 * @param time 1970-epoch milliseconds
212 * @param year output parameter to receive year
213 * @param month output parameter to receive month (0-based, 0==Jan)
214 * @param dom output parameter to receive day-of-month (1-based)
215 * @param dow output parameter to receive day-of-week (1-based, 1==Sun)
216 * @param doy output parameter to receive day-of-year (1-based)
217 * @param mid output parameter to recieve millis-in-day
219 static void timeToFields(UDate time
, int32_t& year
, int32_t& month
,
220 int32_t& dom
, int32_t& dow
, int32_t& doy
, int32_t& mid
);
223 * Return the day of week on the 1970-epoch day
224 * @param day the 1970-epoch day (integral value)
225 * @return the day of week
227 static int32_t dayOfWeek(double day
);
230 * Returns the ordinal number for the specified day of week within the month.
231 * The valid return value is 1, 2, 3, 4 or -1.
232 * @param year Gregorian year, with 0 == 1 BCE, -1 == 2 BCE, etc.
233 * @param month 0-based month, with 0==Jan
234 * @param dom 1-based day of month
235 * @return The ordinal number for the specified day of week within the month
237 static int32_t dayOfWeekInMonth(int32_t year
, int32_t month
, int32_t dom
);
240 * Converts Julian day to time as milliseconds.
241 * @param julian the given Julian day number.
242 * @return time as milliseconds.
245 static inline double julianDayToMillis(int32_t julian
);
248 * Converts time as milliseconds to Julian day.
249 * @param millis the given milliseconds.
250 * @return the Julian day number.
253 static inline int32_t millisToJulianDay(double millis
);
256 * Calculates the Gregorian day shift value for an extended year.
257 * @param eyear Extended year
258 * @returns number of days to ADD to Julian in order to convert from J->G
260 static inline int32_t gregorianShift(int32_t eyear
);
263 static const int16_t DAYS_BEFORE
[24];
264 static const int8_t MONTH_LENGTH
[24];
267 inline double ClockMath::floorDivide(double numerator
, double denominator
) {
268 return uprv_floor(numerator
/ denominator
);
271 inline UBool
Grego::isLeapYear(int32_t year
) {
272 // year&0x3 == year%4
273 return ((year
&0x3) == 0) && ((year%100
!= 0) || (year%400
== 0));
277 Grego::monthLength(int32_t year
, int32_t month
) {
278 return MONTH_LENGTH
[month
+ (isLeapYear(year
) ? 12 : 0)];
282 Grego::previousMonthLength(int y
, int m
) {
283 return (m
> 0) ? monthLength(y
, m
-1) : 31;
286 inline void Grego::dayToFields(double day
, int32_t& year
, int32_t& month
,
287 int32_t& dom
, int32_t& dow
) {
289 dayToFields(day
,year
,month
,dom
,dow
,doy_unused
);
292 inline double Grego::julianDayToMillis(int32_t julian
)
294 return (julian
- kEpochStartAsJulianDay
) * kOneDay
;
297 inline int32_t Grego::millisToJulianDay(double millis
) {
298 return (int32_t) (kEpochStartAsJulianDay
+ ClockMath::floorDivide(millis
, (double)kOneDay
));
301 inline int32_t Grego::gregorianShift(int32_t eyear
) {
302 int64_t y
= (int64_t)eyear
-1;
303 int32_t gregShift
= static_cast<int32_t>(ClockMath::floorDivide(y
, (int64_t)400) - ClockMath::floorDivide(y
, (int64_t)100) + 2);
309 #endif // !UCONFIG_NO_FORMATTING