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/*
Calendrical conversions using a proleptic Gregorian calendar.
Implemented using formulas from: Calendrical Calculations Ultimate Edition, Reingold & Dershowitz
*/
package datetime
import "base:intrinsics"
// Procedures that return an Ordinal
date_to_ordinal :: proc "contextless" (date: Date) -> (ordinal: Ordinal, err: Error) {
validate(date) or_return
return unsafe_date_to_ordinal(date), .None
}
components_to_ordinal :: proc "contextless" (#any_int year, #any_int month, #any_int day: i64) -> (ordinal: Ordinal, err: Error) {
validate(year, month, day) or_return
return unsafe_date_to_ordinal({year, i8(month), i8(day)}), .None
}
// Procedures that return a Date
ordinal_to_date :: proc "contextless" (ordinal: Ordinal) -> (date: Date, err: Error) {
validate(ordinal) or_return
return unsafe_ordinal_to_date(ordinal), .None
}
components_to_date :: proc "contextless" (#any_int year, #any_int month, #any_int day: i64) -> (date: Date, err: Error) {
validate(year, month, day) or_return
return Date{i64(year), i8(month), i8(day)}, .None
}
components_to_time :: proc "contextless" (#any_int hour, #any_int minute, #any_int second: i64, #any_int nanos := i64(0)) -> (time: Time, err: Error) {
validate(hour, minute, second, nanos) or_return
return Time{i8(hour), i8(minute), i8(second), i32(nanos)}, .None
}
components_to_datetime :: proc "contextless" (#any_int year, #any_int month, #any_int day, #any_int hour, #any_int minute, #any_int second: i64, #any_int nanos := i64(0)) -> (datetime: DateTime, err: Error) {
date := components_to_date(year, month, day) or_return
time := components_to_time(hour, minute, second, nanos) or_return
return {date, time}, .None
}
ordinal_to_datetime :: proc "contextless" (ordinal: Ordinal) -> (datetime: DateTime, err: Error) {
d := ordinal_to_date(ordinal) or_return
return {Date(d), {}}, .None
}
day_of_week :: proc "contextless" (ordinal: Ordinal) -> (day: Weekday) {
return Weekday((ordinal - EPOCH) %% 7)
}
subtract_dates :: proc "contextless" (a, b: Date) -> (delta: Delta, err: Error) {
ord_a := date_to_ordinal(a) or_return
ord_b := date_to_ordinal(b) or_return
delta = Delta{days=ord_a - ord_b}
return
}
subtract_datetimes :: proc "contextless" (a, b: DateTime) -> (delta: Delta, err: Error) {
ord_a := date_to_ordinal(a) or_return
ord_b := date_to_ordinal(b) or_return
validate(a.time) or_return
validate(b.time) or_return
seconds_a := i64(a.hour) * 3600 + i64(a.minute) * 60 + i64(a.second)
seconds_b := i64(b.hour) * 3600 + i64(b.minute) * 60 + i64(b.second)
delta = Delta{ord_a - ord_b, seconds_a - seconds_b, i64(a.nano) - i64(b.nano)}
return
}
subtract_deltas :: proc "contextless" (a, b: Delta) -> (delta: Delta, err: Error) {
delta = Delta{a.days - b.days, a.seconds - b.seconds, a.nanos - b.nanos}
delta = normalize_delta(delta) or_return
return
}
sub :: proc{subtract_datetimes, subtract_dates, subtract_deltas}
add_days_to_date :: proc "contextless" (a: Date, days: i64) -> (date: Date, err: Error) {
ord := date_to_ordinal(a) or_return
ord += days
return ordinal_to_date(ord)
}
add_delta_to_date :: proc "contextless" (a: Date, delta: Delta) -> (date: Date, err: Error) {
ord := date_to_ordinal(a) or_return
// Because the input is a Date, we add only the days from the Delta.
ord += delta.days
return ordinal_to_date(ord)
}
add_delta_to_datetime :: proc "contextless" (a: DateTime, delta: Delta) -> (datetime: DateTime, err: Error) {
days := date_to_ordinal(a) or_return
a_seconds := i64(a.hour) * 3600 + i64(a.minute) * 60 + i64(a.second)
a_delta := Delta{days=days, seconds=a_seconds, nanos=i64(a.nano)}
sum_delta := Delta{days=a_delta.days + delta.days, seconds=a_delta.seconds + delta.seconds, nanos=a_delta.nanos + delta.nanos}
sum_delta = normalize_delta(sum_delta) or_return
datetime.date = ordinal_to_date(sum_delta.days) or_return
hour, rem := divmod(sum_delta.seconds, 3600)
minute, second := divmod(rem, 60)
datetime.time = components_to_time(hour, minute, second, sum_delta.nanos) or_return
return
}
add :: proc{add_days_to_date, add_delta_to_date, add_delta_to_datetime}
day_number :: proc "contextless" (date: Date) -> (day_number: i64, err: Error) {
validate(date) or_return
ord := unsafe_date_to_ordinal(date)
_, day_number = unsafe_ordinal_to_year(ord)
return
}
days_remaining :: proc "contextless" (date: Date) -> (days_remaining: i64, err: Error) {
// Alternative formulation `day_number` subtracted from 365 or 366 depending on leap year
validate(date) or_return
delta := sub(date, Date{date.year, 12, 31}) or_return
return delta.days, .None
}
last_day_of_month :: proc "contextless" (#any_int year: i64, #any_int month: i8) -> (day: i64, err: Error) {
// Not using formula 2.27 from the book. This is far simpler and gives the same answer.
validate(Date{year, month, 1}) or_return
month_days := MONTH_DAYS
day = i64(month_days[month])
if month == 2 && is_leap_year(year) {
day += 1
}
return
}
new_year :: proc "contextless" (#any_int year: i64) -> (new_year: Date, err: Error) {
validate(year, 1, 1) or_return
return {year, 1, 1}, .None
}
year_end :: proc "contextless" (#any_int year: i64) -> (year_end: Date, err: Error) {
validate(year, 12, 31) or_return
return {year, 12, 31}, .None
}
year_range :: proc (#any_int year: i64, allocator := context.allocator) -> (range: []Date) {
is_leap := is_leap_year(year)
days := 366 if is_leap else 365
range = make([]Date, days, allocator)
month_days := MONTH_DAYS
if is_leap {
month_days[2] = 29
}
i := 0
for month in 1..=len(month_days) {
for day in 1..=month_days[month] {
range[i], _ = components_to_date(year, month, day)
i += 1
}
}
return
}
normalize_delta :: proc "contextless" (delta: Delta) -> (normalized: Delta, err: Error) {
// Distribute nanos into seconds and remainder
seconds, nanos := divmod(delta.nanos, 1e9)
// Add original seconds to rolled over seconds.
seconds += delta.seconds
days: i64
// Distribute seconds into number of days and remaining seconds.
days, seconds = divmod(seconds, 24 * 3600)
// Add original days
days += delta.days
if days <= MIN_ORD || days >= MAX_ORD {
return {}, .Invalid_Delta
}
return Delta{days, seconds, nanos}, .None
}
// The following procedures don't check whether their inputs are in a valid range.
// They're still exported for those who know their inputs have been validated.
unsafe_date_to_ordinal :: proc "contextless" (date: Date) -> (ordinal: Ordinal) {
year_minus_one := date.year - 1
// Day before epoch
ordinal = EPOCH - 1
// Add non-leap days
ordinal += 365 * year_minus_one
// Add leap days
ordinal += floor_div(year_minus_one, 4) // Julian-rule leap days
ordinal -= floor_div(year_minus_one, 100) // Prior century years
ordinal += floor_div(year_minus_one, 400) // Prior 400-multiple years
ordinal += floor_div(367 * i64(date.month) - 362, 12) // Prior days this year
// Apply correction
if date.month <= 2 {
ordinal += 0
} else if is_leap_year(date.year) {
ordinal -= 1
} else {
ordinal -= 2
}
// Add days
ordinal += i64(date.day)
return
}
unsafe_ordinal_to_year :: proc "contextless" (ordinal: Ordinal) -> (year: i64, day_ordinal: i64) {
// Days after epoch
d0 := ordinal - EPOCH
// Number of 400-year cycles and remainder
n400, d1 := divmod(d0, 146097)
// Number of 100-year cycles and remainder
n100, d2 := divmod(d1, 36524)
// Number of 4-year cycles and remainder
n4, d3 := divmod(d2, 1461)
// Number of remaining days
n1, d4 := divmod(d3, 365)
year = 400 * n400 + 100 * n100 + 4 * n4 + n1
if n1 != 4 && n100 != 4 {
day_ordinal = d4 + 1
} else {
day_ordinal = 366
}
if n100 == 4 || n1 == 4 {
return year, day_ordinal
}
return year + 1, day_ordinal
}
unsafe_ordinal_to_date :: proc "contextless" (ordinal: Ordinal) -> (date: Date) {
year, _ := unsafe_ordinal_to_year(ordinal)
prior_days := ordinal - unsafe_date_to_ordinal(Date{year, 1, 1})
correction := Ordinal(2)
if ordinal < unsafe_date_to_ordinal(Date{year, 3, 1}) {
correction = 0
} else if is_leap_year(year) {
correction = 1
}
month := i8(floor_div((12 * (prior_days + correction) + 373), 367))
day := i8(ordinal - unsafe_date_to_ordinal(Date{year, month, 1}) + 1)
return {year, month, day}
}
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