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+// © 2016 and later: Unicode, Inc. and others.
+// License & terms of use: http://www.unicode.org/copyright.html
+/*
+ **********************************************************************
+ * Copyright (c) 2003-2008, International Business Machines
+ * Corporation and others. All Rights Reserved.
+ **********************************************************************
+ * Author: Alan Liu
+ * Created: September 2 2003
+ * Since: ICU 2.8
+ **********************************************************************
+ */
+
+#include "gregoimp.h"
+
+#if !UCONFIG_NO_FORMATTING
+
+#include "unicode/ucal.h"
+#include "uresimp.h"
+#include "cstring.h"
+#include "uassert.h"
+
+U_NAMESPACE_BEGIN
+
+int32_t ClockMath::floorDivide(int32_t numerator, int32_t denominator) {
+ return (numerator >= 0) ?
+ numerator / denominator : ((numerator + 1) / denominator) - 1;
+}
+
+int64_t ClockMath::floorDivide(int64_t numerator, int64_t denominator) {
+ return (numerator >= 0) ?
+ numerator / denominator : ((numerator + 1) / denominator) - 1;
+}
+
+int32_t ClockMath::floorDivide(double numerator, int32_t denominator,
+ int32_t* remainder) {
+ // For an integer n and representable ⌊x/n⌋, ⌊RN(x/n)⌋=⌊x/n⌋, where RN is
+ // rounding to nearest.
+ double quotient = uprv_floor(numerator / denominator);
+ if (remainder != nullptr) {
+ // For doubles x and n, where n is an integer and ⌊x+n⌋ < 2³¹, the
+ // expression `(int32_t) (x + n)` evaluated with rounding to nearest
+ // differs from ⌊x+n⌋ if 0 < ⌈x⌉−x ≪ x+n, as `x + n` is rounded up to
+ // n+⌈x⌉ = ⌊x+n⌋ + 1. Rewriting it as ⌊x⌋+n makes the addition exact.
+ *remainder = (int32_t) (uprv_floor(numerator) - (quotient * denominator));
+ }
+ return (int32_t) quotient;
+}
+
+double ClockMath::floorDivide(double dividend, double divisor,
+ double* remainder) {
+ // Only designed to work for positive divisors
+ U_ASSERT(divisor > 0);
+ double quotient = floorDivide(dividend, divisor);
+ double r = dividend - (quotient * divisor);
+ // N.B. For certain large dividends, on certain platforms, there
+ // is a bug such that the quotient is off by one. If you doubt
+ // this to be true, set a breakpoint below and run cintltst.
+ if (r < 0 || r >= divisor) {
+ // E.g. 6.7317038241449352e+022 / 86400000.0 is wrong on my
+ // machine (too high by one). 4.1792057231752762e+024 /
+ // 86400000.0 is wrong the other way (too low).
+ double q = quotient;
+ quotient += (r < 0) ? -1 : +1;
+ if (q == quotient) {
+ // For quotients > ~2^53, we won't be able to add or
+ // subtract one, since the LSB of the mantissa will be >
+ // 2^0; that is, the exponent (base 2) will be larger than
+ // the length, in bits, of the mantissa. In that case, we
+ // can't give a correct answer, so we set the remainder to
+ // zero. This has the desired effect of making extreme
+ // values give back an approximate answer rather than
+ // crashing. For example, UDate values above a ~10^25
+ // might all have a time of midnight.
+ r = 0;
+ } else {
+ r = dividend - (quotient * divisor);
+ }
+ }
+ U_ASSERT(0 <= r && r < divisor);
+ if (remainder != nullptr) {
+ *remainder = r;
+ }
+ return quotient;
+}
+
+const int32_t JULIAN_1_CE = 1721426; // January 1, 1 CE Gregorian
+const int32_t JULIAN_1970_CE = 2440588; // January 1, 1970 CE Gregorian
+
+const int16_t Grego::DAYS_BEFORE[24] =
+ {0,31,59,90,120,151,181,212,243,273,304,334,
+ 0,31,60,91,121,152,182,213,244,274,305,335};
+
+const int8_t Grego::MONTH_LENGTH[24] =
+ {31,28,31,30,31,30,31,31,30,31,30,31,
+ 31,29,31,30,31,30,31,31,30,31,30,31};
+
+double Grego::fieldsToDay(int32_t year, int32_t month, int32_t dom) {
+
+ int32_t y = year - 1;
+
+ double julian = 365 * y + ClockMath::floorDivide(y, 4) + (JULIAN_1_CE - 3) + // Julian cal
+ ClockMath::floorDivide(y, 400) - ClockMath::floorDivide(y, 100) + 2 + // => Gregorian cal
+ DAYS_BEFORE[month + (isLeapYear(year) ? 12 : 0)] + dom; // => month/dom
+
+ return julian - JULIAN_1970_CE; // JD => epoch day
+}
+
+void Grego::dayToFields(double day, int32_t& year, int32_t& month,
+ int32_t& dom, int32_t& dow, int32_t& doy) {
+
+ // Convert from 1970 CE epoch to 1 CE epoch (Gregorian calendar)
+ day += JULIAN_1970_CE - JULIAN_1_CE;
+
+ // Convert from the day number to the multiple radix
+ // representation. We use 400-year, 100-year, and 4-year cycles.
+ // For example, the 4-year cycle has 4 years + 1 leap day; giving
+ // 1461 == 365*4 + 1 days.
+ int32_t n400 = ClockMath::floorDivide(day, 146097, &doy); // 400-year cycle length
+ int32_t n100 = ClockMath::floorDivide(doy, 36524, &doy); // 100-year cycle length
+ int32_t n4 = ClockMath::floorDivide(doy, 1461, &doy); // 4-year cycle length
+ int32_t n1 = ClockMath::floorDivide(doy, 365, &doy);
+ year = 400*n400 + 100*n100 + 4*n4 + n1;
+ if (n100 == 4 || n1 == 4) {
+ doy = 365; // Dec 31 at end of 4- or 400-year cycle
+ } else {
+ ++year;
+ }
+
+ UBool isLeap = isLeapYear(year);
+
+ // Gregorian day zero is a Monday.
+ dow = (int32_t) uprv_fmod(day + 1, 7);
+ dow += (dow < 0) ? (UCAL_SUNDAY + 7) : UCAL_SUNDAY;
+
+ // Common Julian/Gregorian calculation
+ int32_t correction = 0;
+ int32_t march1 = isLeap ? 60 : 59; // zero-based DOY for March 1
+ if (doy >= march1) {
+ correction = isLeap ? 1 : 2;
+ }
+ month = (12 * (doy + correction) + 6) / 367; // zero-based month
+ dom = doy - DAYS_BEFORE[month + (isLeap ? 12 : 0)] + 1; // one-based DOM
+ doy++; // one-based doy
+}
+
+void Grego::timeToFields(UDate time, int32_t& year, int32_t& month,
+ int32_t& dom, int32_t& dow, int32_t& doy, int32_t& mid) {
+ double millisInDay;
+ double day = ClockMath::floorDivide((double)time, (double)U_MILLIS_PER_DAY, &millisInDay);
+ mid = (int32_t)millisInDay;
+ dayToFields(day, year, month, dom, dow, doy);
+}
+
+int32_t Grego::dayOfWeek(double day) {
+ int32_t dow;
+ ClockMath::floorDivide(day + int{UCAL_THURSDAY}, 7, &dow);
+ return (dow == 0) ? UCAL_SATURDAY : dow;
+}
+
+int32_t Grego::dayOfWeekInMonth(int32_t year, int32_t month, int32_t dom) {
+ int32_t weekInMonth = (dom + 6)/7;
+ if (weekInMonth == 4) {
+ if (dom + 7 > monthLength(year, month)) {
+ weekInMonth = -1;
+ }
+ } else if (weekInMonth == 5) {
+ weekInMonth = -1;
+ }
+ return weekInMonth;
+}
+
+U_NAMESPACE_END
+
+#endif
+//eof