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gregoimp.cpp (8643B)


      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 #include "gregoimp.h"
     15 
     16 #if !UCONFIG_NO_FORMATTING
     17 
     18 #include "unicode/ucal.h"
     19 #include "uresimp.h"
     20 #include "cstring.h"
     21 #include "uassert.h"
     22 
     23 U_NAMESPACE_BEGIN
     24 
     25 int32_t ClockMath::floorDivide(int32_t numerator, int32_t denominator) {
     26    return (numerator >= 0) ?
     27        numerator / denominator : ((numerator + 1) / denominator) - 1;
     28 }
     29 
     30 int64_t ClockMath::floorDivideInt64(int64_t numerator, int64_t denominator) {
     31    return (numerator >= 0) ?
     32        numerator / denominator : ((numerator + 1) / denominator) - 1;
     33 }
     34 
     35 int32_t ClockMath::floorDivide(int32_t numerator, int32_t denominator,
     36                          int32_t* remainder) {
     37    int64_t quotient = floorDivide(numerator, denominator);
     38    if (remainder != nullptr) {
     39      *remainder = numerator - (quotient * denominator);
     40    }
     41    return quotient;
     42 }
     43 
     44 double ClockMath::floorDivide(double numerator, int32_t denominator,
     45                          int32_t* remainder) {
     46    // For an integer n and representable ⌊x/n⌋, ⌊RN(x/n)⌋=⌊x/n⌋, where RN is
     47    // rounding to nearest.
     48    double quotient = uprv_floor(numerator / denominator);
     49    if (remainder != nullptr) {
     50      // For doubles x and n, where n is an integer and ⌊x+n⌋ < 2³¹, the
     51      // expression `(int32_t) (x + n)` evaluated with rounding to nearest
     52      // differs from ⌊x+n⌋ if 0 < ⌈x⌉−x ≪ x+n, as `x + n` is rounded up to
     53      // n+⌈x⌉ = ⌊x+n⌋ + 1.  Rewriting it as ⌊x⌋+n makes the addition exact.
     54      *remainder = static_cast<int32_t>(uprv_floor(numerator) - (quotient * denominator));
     55    }
     56    return quotient;
     57 }
     58 
     59 double ClockMath::floorDivide(double dividend, double divisor,
     60                         double* remainder) {
     61    // Only designed to work for positive divisors
     62    U_ASSERT(divisor > 0);
     63    double quotient = floorDivide(dividend, divisor);
     64    double r = dividend - (quotient * divisor);
     65    // N.B. For certain large dividends, on certain platforms, there
     66    // is a bug such that the quotient is off by one.  If you doubt
     67    // this to be true, set a breakpoint below and run cintltst.
     68    if (r < 0 || r >= divisor) {
     69        // E.g. 6.7317038241449352e+022 / 86400000.0 is wrong on my
     70        // machine (too high by one).  4.1792057231752762e+024 /
     71        // 86400000.0 is wrong the other way (too low).
     72        double q = quotient;
     73        quotient += (r < 0) ? -1 : +1;
     74        if (q == quotient) {
     75            // For quotients > ~2^53, we won't be able to add or
     76            // subtract one, since the LSB of the mantissa will be >
     77            // 2^0; that is, the exponent (base 2) will be larger than
     78            // the length, in bits, of the mantissa.  In that case, we
     79            // can't give a correct answer, so we set the remainder to
     80            // zero.  This has the desired effect of making extreme
     81            // values give back an approximate answer rather than
     82            // crashing.  For example, UDate values above a ~10^25
     83            // might all have a time of midnight.
     84            r = 0;
     85        } else {
     86            r = dividend - (quotient * divisor);
     87        }
     88    }
     89    U_ASSERT(0 <= r && r < divisor);
     90    if (remainder != nullptr) {
     91        *remainder = r;
     92    }
     93    return quotient;
     94 }
     95 
     96 const int32_t JULIAN_1_CE    = 1721426; // January 1, 1 CE Gregorian
     97 const int32_t JULIAN_1970_CE = 2440588; // January 1, 1970 CE Gregorian
     98 
     99 const int16_t Grego::DAYS_BEFORE[24] =
    100    {0,31,59,90,120,151,181,212,243,273,304,334,
    101     0,31,60,91,121,152,182,213,244,274,305,335};
    102 
    103 const int8_t Grego::MONTH_LENGTH[24] =
    104    {31,28,31,30,31,30,31,31,30,31,30,31,
    105     31,29,31,30,31,30,31,31,30,31,30,31};
    106 
    107 int64_t Grego::fieldsToDay(int32_t year, int32_t month, int32_t dom) {
    108 
    109    int64_t y = year;
    110    y--;
    111 
    112    int64_t julian = 365LL * y +
    113        ClockMath::floorDivideInt64(y, 4LL) + (JULIAN_1_CE - 3) + // Julian cal
    114        ClockMath::floorDivideInt64(y, 400LL) -
    115        ClockMath::floorDivideInt64(y, 100LL) + 2 + // => Gregorian cal
    116        DAYS_BEFORE[month + (isLeapYear(year) ? 12 : 0)] + dom; // => month/dom
    117 
    118    return julian - JULIAN_1970_CE; // JD => epoch day
    119 }
    120 
    121 void Grego::dayToFields(int32_t day, int32_t& year, int8_t& month,
    122                        int8_t& dom, int8_t& dow, int16_t& doy, UErrorCode& status) {
    123    year = dayToYear(day, doy, status); // one-based doy
    124    if (U_FAILURE(status)) return;
    125 
    126    // Convert from 1970 CE epoch to 1 CE epoch (Gregorian calendar)
    127    if (uprv_add32_overflow(day, JULIAN_1970_CE - JULIAN_1_CE, &day)) {
    128        status = U_ILLEGAL_ARGUMENT_ERROR;
    129        return;
    130    }
    131 
    132    // Gregorian day zero is a Monday.
    133    dow = (day + 1) % 7;
    134    dow += (dow < 0) ? (UCAL_SUNDAY + 7) : UCAL_SUNDAY;
    135 
    136    // Common Julian/Gregorian calculation
    137    int32_t correction = 0;
    138    bool isLeap = isLeapYear(year);
    139    int32_t march1 = isLeap ? 60 : 59; // zero-based DOY for March 1
    140    if (doy > march1) {
    141        correction = isLeap ? 1 : 2;
    142    }
    143    month = (12 * (doy - 1 + correction) + 6) / 367; // zero-based month
    144    dom = doy - DAYS_BEFORE[month + (isLeap ? 12 : 0)]; // one-based DOM
    145 }
    146 
    147 int32_t Grego::dayToYear(int32_t day, UErrorCode& status) {
    148    int16_t unusedDOY;
    149    return dayToYear(day, unusedDOY, status);
    150 }
    151 
    152 int32_t Grego::dayToYear(int32_t day, int16_t& doy, UErrorCode& status) {
    153    if (U_FAILURE(status)) return 0;
    154    // Convert from 1970 CE epoch to 1 CE epoch (Gregorian calendar)
    155    if (uprv_add32_overflow(day, JULIAN_1970_CE - JULIAN_1_CE, &day)) {
    156        status = U_ILLEGAL_ARGUMENT_ERROR;
    157        return 0;
    158    }
    159 
    160    // Convert from the day number to the multiple radix
    161    // representation.  We use 400-year, 100-year, and 4-year cycles.
    162    // For example, the 4-year cycle has 4 years + 1 leap day; giving
    163    // 1461 == 365*4 + 1 days.
    164    int32_t doy32;
    165    int32_t n400 = ClockMath::floorDivide(day, 146097, &doy32); // 400-year cycle length
    166    int32_t n100 = ClockMath::floorDivide(doy32, 36524, &doy32); // 100-year cycle length
    167    int32_t n4   = ClockMath::floorDivide(doy32, 1461, &doy32); // 4-year cycle length
    168    int32_t n1   = ClockMath::floorDivide(doy32, 365, &doy32);
    169    int32_t year = 400*n400 + 100*n100 + 4*n4 + n1;
    170    if (n100 == 4 || n1 == 4) {
    171        doy = 365; // Dec 31 at end of 4- or 400-year cycle
    172    } else {
    173        doy = doy32;
    174        ++year;
    175    }
    176    doy++; // one-based doy
    177    return year;
    178 }
    179 
    180 void Grego::timeToFields(UDate time, int32_t& year, int8_t& month,
    181                        int8_t& dom, int32_t& mid, UErrorCode& status) {
    182    int8_t unusedDOW;
    183    timeToFields(time, year, month, dom, unusedDOW, mid, status);
    184 }
    185 
    186 void Grego::timeToFields(UDate time, int32_t& year, int8_t& month,
    187                        int8_t& dom, int8_t& dow, int32_t& mid, UErrorCode& status) {
    188    int16_t unusedDOY;
    189    timeToFields(time, year, month, dom, dow, unusedDOY, mid, status);
    190 }
    191 
    192 void Grego::timeToFields(UDate time, int32_t& year, int8_t& month,
    193                        int8_t& dom, int8_t& dow, int16_t& doy, int32_t& mid, UErrorCode& status) {
    194    if (U_FAILURE(status)) return;
    195    double day = ClockMath::floorDivide(time, U_MILLIS_PER_DAY, &mid);
    196    if (day > INT32_MAX || day < INT32_MIN) {
    197        status = U_ILLEGAL_ARGUMENT_ERROR;
    198        return;
    199    }
    200    dayToFields(day, year, month, dom, dow, doy, status);
    201 }
    202 
    203 int32_t Grego::timeToYear(UDate time, UErrorCode& status) {
    204    if (U_FAILURE(status)) return 0;
    205    double day = ClockMath::floorDivide(time, double(U_MILLIS_PER_DAY));
    206    if (day > INT32_MAX || day < INT32_MIN) {
    207        status = U_ILLEGAL_ARGUMENT_ERROR;
    208        return 0;
    209    }
    210    return Grego::dayToYear(day, status);
    211 }
    212 
    213 int32_t Grego::dayOfWeek(int32_t day) {
    214    int32_t dow;
    215    ClockMath::floorDivide(day + int{UCAL_THURSDAY}, 7, &dow);
    216    return (dow == 0) ? UCAL_SATURDAY : dow;
    217 }
    218 
    219 int32_t Grego::dayOfWeekInMonth(int32_t year, int32_t month, int32_t dom) {
    220    int32_t weekInMonth = (dom + 6)/7;
    221    if (weekInMonth == 4) {
    222        if (dom + 7 > monthLength(year, month)) {
    223            weekInMonth = -1;
    224        }
    225    } else if (weekInMonth == 5) {
    226        weekInMonth = -1;
    227    }
    228    return weekInMonth;
    229 }
    230 
    231 U_NAMESPACE_END
    232 
    233 #endif
    234 //eof