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deep_time/dt/
gregorian.rs

1use crate::{
2    ATTOS_PER_SEC, Dt, SEC_PER_DAYI64, Scale, Weekday, YmdHms, YmdHmsRich, leap_seconds::leap_sec,
3};
4
5impl Dt {
6    /// Converts a Unix timestamp (seconds since 1970-01-01 00:00:00)
7    /// to a proleptic Gregorian date (year, month, day).
8    pub const fn unix_sec_to_ymd(unix_sec: i64) -> (i64, u8, u8) {
9        let days = unix_sec.div_euclid(86400);
10
11        // Shift so we work relative to 0000-03-01 (makes leap year math cleaner)
12        let z = days + 719468;
13
14        let era = if z >= 0 {
15            z / 146097
16        } else {
17            (z - 146096) / 146097
18        };
19        let doe = z - era * 146097; // [0, 146096]
20        let yoe = (doe - doe / 1460 + doe / 36524 - doe / 146096) / 365; // [0, 399]
21        let y = yoe + era * 400;
22        let doy = doe - (365 * yoe + yoe / 4 - yoe / 100); // [0, 365]
23        let mp = (5 * doy + 2) / 153; // [0, 11]
24        let d = doy - (153 * mp + 2) / 5 + 1; // [1, 31]
25        let m = if mp < 10 { mp + 3 } else { mp - 9 }; // [1, 12]
26
27        let yr = y + if m <= 2 { 1 } else { 0 };
28
29        (yr, m as u8, d as u8)
30    }
31
32    /// Returns the full proleptic Gregorian date and wall-clock time for this instant,
33    /// including all precomputed calendar metadata (ISO week date, day-of-year, multiple
34    /// week-numbering systems, etc.).
35    ///
36    /// This is the "heavy" version of [`to_ymd`](../struct.Dt.html#method.to_ymd).
37    ///
38    /// It performs the same scale conversion but additionally computes and stores every common
39    /// calendar-derived field. This means downstream formatting code does not have to
40    /// re-calculate these numbers for the same object.
41    ///
42    /// The returned [`YmdHmsRich`] has convenient and fast formatter methods for turning
43    /// the object into a datetime - an array of [`u8`] or [`String`](alloc::string::String)
44    /// (requires `"alloc"` feature).
45    ///
46    /// ## See also
47    ///
48    /// * [`Dt::to_ymd`](../struct.Dt.html#method.to_ymd) — the lightweight
49    ///   version.
50    /// * [`YmdHmsRich`] — the rich struct type and its accessor methods.
51    /// * [`YmdHmsRich::to_str`](../struct.YmdHmsRich.html#method.to_str) — basically like
52    ///   strftime.
53    ///
54    /// ## What you get in `YmdHmsRich`
55    ///
56    /// In addition to the fields returned by [`to_ymd`](Self::to_ymd),
57    /// the returned struct also contains:
58    ///
59    /// - `iso_yr`, `iso_wk`, `iso_wkday` — ISO 8601 week date (Monday-based week)
60    /// - `day_of_yr` — ordinal day of the year (1-based)
61    /// - `wkday` — weekday number (0 = Sunday … 6 = Saturday)
62    /// - `wk_of_yr_sun` — Sunday-based week number (`%U` in strftime, range `0..=53`)
63    /// - `wk_of_yr_mon` — Monday-based week number (`%W` in strftime, range `0..=53`)
64    /// - `scale` — the time scale used for the conversion (`new`)
65    ///
66    /// All other fields (`unix_attosec`, `yr`…`attos`, `offset_sec`, `tz`, `tz_abbrev`)
67    /// are populated exactly as in the lightweight [`YmdHms`] version.
68    ///
69    /// ## Performance note
70    ///
71    /// This function performs several extra calendar calculations (ISO week date,
72    /// day-of-year, both week-numbering systems). If you only need the basic YMDHMS
73    /// components, prefer [`to_ymd`](Self::to_ymd) for speed.
74    ///
75    /// ## Examples
76    ///
77    /// ```rust
78    /// use deep_time::{Dt, Scale};
79    ///
80    /// let dt = Dt::from_ymd(2024, 6, 15, 12, 30, 45, 0, Scale::UTC);
81    /// let rich = dt.to_ymd_rich();
82    ///
83    /// assert_eq!(rich.yr(), 2024);
84    /// assert_eq!(rich.iso_wk(), 24);           // ISO week 24
85    /// assert_eq!(rich.day_of_yr(), 167);       // June 15 is day 167
86    /// assert_eq!(rich.wkday_sun(), 6);         // Saturday
87    /// ```
88    pub fn to_ymd_rich(&self) -> YmdHmsRich {
89        let ymdhms = self.to_ymd();
90        let (iso_yr, iso_wk, iso_wkday) =
91            self.to_iso_wk_date(Some((ymdhms.yr, ymdhms.mo, ymdhms.day)));
92        let day_of_yr = self.day_of_yr(Some((ymdhms.yr, ymdhms.mo, ymdhms.day)));
93        let jd = Self::ymd_to_jd(ymdhms.yr, ymdhms.mo, ymdhms.day);
94        let wkday = Self::jd_to_wkday(jd);
95        let wk_of_yr_sun = self.wk_sun(Some((ymdhms.yr, ymdhms.mo, ymdhms.day)), Some(day_of_yr));
96        let wk_of_yr_mon = self.wk_mon(Some((ymdhms.yr, ymdhms.mo, ymdhms.day)), Some(day_of_yr));
97        ymdhms.to_ymd_rich(
98            iso_yr,
99            iso_wk,
100            iso_wkday,
101            day_of_yr,
102            wkday,
103            wk_of_yr_sun,
104            wk_of_yr_mon,
105        )
106    }
107
108    /// Returns the proleptic Gregorian date and wall-clock time for this instant.
109    ///
110    /// Converts to this [`Dt`]s `target` time scale using the internal current
111    /// `scale` before producing a result.
112    ///
113    /// ## Returns
114    ///
115    /// A [`YmdHms`] containing:
116    ///
117    /// - `yr`, `mo`, `day` — proleptic Gregorian calendar date
118    /// - `hr` (0–23), `min` (0–59), `sec` (0–60)
119    /// - `attos` — fractional second in attoseconds (`0 ≤ attos < 10¹⁸`)
120    /// - `unix_attosec` — total attoseconds since the Unix epoch (`1970-01-01 00:00:00 UTC`)
121    ///   when this instant is expressed in the `new` scale
122    ///
123    /// ## Leap-second handling
124    ///
125    /// If `new` is one of the scales that use leap seconds (`UTC`, `UTCSpice`, or `UTCSofa`)
126    /// **and** the instant falls exactly on a leap second, the returned `sec` will be `60`.
127    /// In every other case `sec` is in the range `0..=59`.
128    ///
129    /// The implementation converts internally to TAI before checking leap-second status,
130    /// ensuring correct detection regardless of the input scale.
131    ///
132    /// ## See also
133    ///
134    /// - [`Dt::from_ymd`](../struct.Dt.html#method.from_ymd)
135    ///
136    /// ## Examples
137    ///
138    /// ```rust
139    /// use deep_time::{Dt, Scale};
140    ///
141    /// // `from_ymd` always returns a TAI instant
142    /// let dt = Dt::from_ymd(2024, 6, 15, 12, 30, 45, 0, Scale::UTC);
143    /// let ymd = dt.to_ymd();
144    ///
145    /// assert_eq!(ymd.yr(), 2024);
146    /// assert_eq!(ymd.mo(), 6);
147    /// assert_eq!(ymd.day(), 15);
148    /// assert_eq!(ymd.hr(), 12);
149    /// assert_eq!(ymd.min(), 30);
150    /// assert_eq!(ymd.sec(), 45);
151    /// assert!(ymd.attos() == 0);
152    /// ```
153    pub fn to_ymd(&self) -> YmdHms {
154        let tai = self.to_tai();
155        let from_unix_epoch = self.to_scale_and_diff(Dt::UNIX_EPOCH, false);
156
157        let unix_sec = from_unix_epoch.to_sec64();
158        let frac = from_unix_epoch.to_sec_ufrac();
159        let (yr, mo, day) = Self::unix_sec_to_ymd(unix_sec);
160
161        let seconds_since_midnight = unix_sec.rem_euclid(SEC_PER_DAYI64);
162        let hr = (seconds_since_midnight / 3600) as u8;
163        let min = ((seconds_since_midnight % 3600) / 60) as u8;
164        let mut sec = (seconds_since_midnight % 60) as u8;
165        if self.target.uses_leap_seconds() && tai.leap_sec(false).is_leap_sec {
166            sec += 1;
167        }
168
169        YmdHms {
170            unix_attosec: from_unix_epoch.to_attos(),
171            yr,
172            mo,
173            day,
174            hr,
175            min,
176            sec,
177            attos: frac,
178            scale: self.target,
179        }
180    }
181
182    /// Converts a proleptic Gregorian calendar date+time to a Unix timestamp
183    /// (seconds since 1970-01-01 00:00:00).
184    ///
185    /// - Expects **1 based** `mo` and `day`, and **0 based** `hr`, `min`, and `sec`.
186    /// - Does not perform any time scale conversions.
187    /// - Expects clamped values.
188    pub(crate) const fn ymdhms_to_unix_sec(
189        yr: i64,
190        mo: u8,
191        day: u8,
192        hr: u8,
193        min: u8,
194        sec: u8,
195    ) -> i64 {
196        let jd = Self::ymd_to_jd(yr, mo, day);
197        // 1970-01-01 00:00:00 UTC corresponds to JD 2440588
198        let days_since_1970 = jd.saturating_sub(2440588);
199        let time_of_day = (hr as i64) * 3600 + (min as i64) * 60 + (sec as i64);
200        days_since_1970
201            .saturating_mul(SEC_PER_DAYI64)
202            .saturating_add(time_of_day)
203    }
204
205    /// Converts a Julian Day Number (JD) to a proleptic Gregorian calendar date.
206    ///
207    /// - Returns `(year, month, day)` where `month` ∈ [1, 12] and `day` ∈ [1, 31]
208    ///   (standard 1-based Gregorian values).
209    /// - This is the inverse of [`Dt::ymd_to_jd`](../struct.Dt.html#method.ymd_to_jd).
210    /// - Supports the full `i64` range, including negative years and year zero.
211    pub const fn jd_to_ymd(jd: i64) -> (i64, u8, u8) {
212        let j = jd as i128;
213
214        #[inline]
215        const fn floor_div_pos(a: i128, b: i128) -> i128 {
216            if a >= 0 { a / b } else { (a - (b - 1)) / b }
217        }
218
219        let a = j + 32044;
220        let b = floor_div_pos(4 * a + 3, 146097);
221        let c = a - floor_div_pos(b * 146097, 4);
222        let d = floor_div_pos(4 * c + 3, 1461);
223        let e = c - floor_div_pos(1461 * d, 4);
224        let m = floor_div_pos(5 * e + 2, 153);
225        let day = (e - floor_div_pos(153 * m + 2, 5) + 1) as u8;
226        let mo = (m + 3 - 12 * floor_div_pos(m, 10)) as u8;
227        let yr = b * 100 + d - 4800 + floor_div_pos(m, 10);
228
229        (Dt::i128_to_i64(yr), mo, day)
230    }
231
232    /// Computes the Julian Day Number (JD) for a proleptic Gregorian calendar date at noon UT.
233    /// This is the inverse of [`jd_to_ymd`].
234    ///
235    /// ## Arguments
236    ///
237    /// * `yr`  - Year (any `i64`; proleptic Gregorian)
238    /// * `mo` - Month (**1-based**: `1` = January, `2` = February, ..., `12` = December)
239    /// * `day`   - Day of the month (**1-based**: `1` = first day of the month)
240    ///
241    /// The algorithm matches the standard astronomical convention used throughout the library
242    /// (`ymd_to_jd(2000, 1, 1) == 2451545`).
243    ///
244    /// ## Notes
245    ///
246    /// - This function expects **1 based** `mo` and `day`. Passing `mo = 0` or `day = 0` (or other
247    ///   out-of-range values) will produce incorrect results as this function does not perform
248    ///   value clamping.
249    /// - Does not deal with bad inputs like February with 30 days, does not do any clamping. If you
250    ///   need to sanitize a year, month, day input use
251    ///   [`Dt::clamp_mdhms`](../struct.Dt.html#method.clamp_mdhms) first.
252    /// - The result is the integer JD corresponding to **noon** on the given date.
253    #[inline]
254    pub const fn ymd_to_jd(yr: i64, mo: u8, day: u8) -> i64 {
255        let y = yr as i128;
256        let m = mo as i16;
257        let d = day as i16;
258
259        let a = (14 - m) / 12;
260        let y = y + 4800 - a as i128;
261        let m = m + 12 * a - 3;
262
263        let y4 = y >> 2; // floor(y / 4) — arithmetic shift works for negatives
264
265        // floor(y / 100)
266        let y100 = if y >= 0 { y / 100 } else { (y - 99) / 100 };
267
268        let y400 = y100 >> 2; // floor(y / 400)
269
270        let day_mo = d + (153 * m + 2) / 5;
271        let yr_part = 365 * y + y4 - y100 + y400 - 32045;
272
273        Dt::i128_to_i64(day_mo as i128 + yr_part)
274    }
275
276    /// Creates a **TAI** [`Dt`] from a proleptic gregorian date which is assumed to be on
277    /// the provided time scale.
278    ///
279    /// - Equivalent to [`Dt::from`](../struct.Dt.html#method.from) for the provided date.
280    ///   Except that conversion is performed prior to adding an extra second if the given
281    ///   `sec` is `60`.
282    /// - Returned [`Dt`] will be on the **TAI** time scale.
283    ///
284    /// All input components are clamped to their valid ranges:
285    /// - `mo`   → 1..=12 **1 based**
286    /// - `day`  → 1..=31 **1 based**
287    /// - `hr`   → 0..=23 **0 based**
288    /// - `min`  → 0..=59 **0 based**
289    /// - `sec`  → 0..=60 **0 based** (permits leap seconds)
290    /// - `attos` → 10¹⁸ **0 based** (clamped to under 1 second)
291    pub const fn from_ymd(
292        yr: i64,
293        mo: u8,
294        day: u8,
295        hr: u8,
296        min: u8,
297        sec: u8,
298        attos: u64,
299        scale: Scale,
300    ) -> Dt {
301        let (mo, day, hr, min, sec) = Dt::clamp_mdhms(yr, mo, day, hr, min, sec);
302        let attos = Dt::clamp_u64(attos, 0, ATTOS_PER_SEC - 1);
303
304        let sec_is_60 = sec == 60;
305        let s_for_unix = if sec_is_60 { 59 } else { sec };
306
307        let unix_sec = Dt::ymdhms_to_unix_sec(yr, mo, day, hr, min, s_for_unix);
308        let unix_attos = Dt::sec_to_attos(unix_sec as i128) + (attos as i128);
309
310        if sec_is_60 && scale.uses_leap_seconds() {
311            let t =
312                Dt::from_diff_and_scale(Dt::new(unix_attos, scale, scale), Dt::UNIX_EPOCH, false);
313
314            let is_leap_sec = leap_sec(t.add_sec(1).to_sec64(), false).is_leap_sec;
315
316            if is_leap_sec { t.add_sec(1) } else { t }
317        } else {
318            Dt::from_diff_and_scale(Dt::new(unix_attos, scale, scale), Dt::UNIX_EPOCH, false)
319        }
320    }
321
322    /// Computes the Julian Day Number from a Gregorian year and ordinal day-of-year.
323    #[inline]
324    pub const fn ydoy_to_jd(yr: i64, day_of_yr: u16) -> i64 {
325        let jd_jan1 = Self::ymd_to_jd(yr, 1, 1);
326        jd_jan1.saturating_add(day_of_yr as i64 - 1)
327    }
328
329    /// Converts a Julian Day Number to the corresponding weekday number (0 = Sunday … 6 = Saturday).
330    #[inline]
331    pub const fn jd_to_wkday(jd: i64) -> u8 {
332        let rem = ((jd as i128) + 1) % 7;
333        let positive = if rem < 0 { rem + 7 } else { rem };
334        positive as u8
335    }
336
337    /// Computes the Julian Day Number from an ISO week date (Monday-based week).
338    pub const fn ymd_to_jd_from_iso_wk(iso_yr: i64, iso_wk: u8, wkday: Weekday) -> i64 {
339        let jan4_jd = Self::ymd_to_jd(iso_yr, 1, 4);
340        let wd_jan4 = Self::jd_to_wkday(jan4_jd);
341
342        let days_to_monday = {
343            let tmp = (wd_jan4 as i64).saturating_add(6);
344            let rem = tmp % 7;
345            if rem < 0 { rem + 7 } else { rem }
346        };
347
348        let monday_wk1 = jan4_jd.saturating_sub(days_to_monday);
349        let monday_requested =
350            monday_wk1.saturating_add(((iso_wk as i64).saturating_sub(1)).saturating_mul(7));
351
352        monday_requested.saturating_add((wkday.wk_mon() - 1) as i64)
353    }
354
355    /// Computes the Julian Day Number from a Sunday-based week-of-year (`%U`).
356    pub const fn ymd_to_jd_from_wk_sun(yr: i64, wk: u8, wkday: Weekday) -> i64 {
357        let jan1_jd = Self::ymd_to_jd(yr, 1, 1);
358        let wd_jan1 = Self::jd_to_wkday(jan1_jd);
359
360        let days_to_first_sunday = ((7u8 - wd_jan1) % 7u8) as i64;
361        let first_sunday_jd = jan1_jd.saturating_add(days_to_first_sunday);
362
363        let sunday_of_wk =
364            first_sunday_jd.saturating_add(((wk as i64).saturating_sub(1)).saturating_mul(7));
365
366        sunday_of_wk.saturating_add(wkday.wk_sun() as i64)
367    }
368
369    /// Computes the Julian Day Number from a Monday-based week-of-year (`%W`).
370    pub const fn ymd_to_jd_from_wk_mon(yr: i64, wk: u8, wkday: Weekday) -> i64 {
371        let jan1_jd = Self::ymd_to_jd(yr, 1, 1);
372        let wd_jan1 = Self::jd_to_wkday(jan1_jd);
373
374        let days_to_first_monday = (1i64 - wd_jan1 as i64).rem_euclid(7);
375        let first_monday_jd = jan1_jd.saturating_add(days_to_first_monday);
376
377        let monday_of_wk =
378            first_monday_jd.saturating_add(((wk as i64).saturating_sub(1)).saturating_mul(7));
379
380        monday_of_wk.saturating_add((wkday.wk_mon() - 1) as i64)
381    }
382
383    /// Returns `true` if the given year is a Gregorian leap year under proleptic rules.
384    #[inline(always)]
385    pub const fn is_leap_yr(yr: i64) -> bool {
386        (yr & 3 == 0) && ((yr & 15 == 0) || (yr % 25 != 0))
387    }
388
389    const DAYS: [u8; 12] = [31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31];
390    /// Returns `true` if the supplied values form a valid proleptic Gregorian calendar date.
391    #[inline]
392    pub const fn is_valid_ymd(yr: i64, mo: u8, day: u8) -> bool {
393        if mo < 1 || mo > 12 || day < 1 {
394            return false;
395        }
396        // 0 = Jan, 1 = Feb, ..., 11 = Dec
397        let days = Self::DAYS[(mo - 1) as usize];
398        if mo == 2 && Self::is_leap_yr(yr) {
399            day <= days + 1 // 28 → 29
400        } else {
401            day <= days
402        }
403    }
404
405    /// Returns `true` if the given Gregorian year contains an ISO week 53.
406    pub const fn has_iso_wk_53(yr: i64) -> bool {
407        let jan1_jd = Self::ymd_to_jd(yr, 1, 1);
408        let wd_jan1 = Self::jd_to_wkday(jan1_jd);
409        wd_jan1 == 4 || (Self::is_leap_yr(yr) && wd_jan1 == 3)
410    }
411
412    /// Returns the ordinal day of the year (1-based).
413    ///
414    /// January 1 is day `1`; December 31 is day `365` or `366` (in leap years).
415    /// Uses the proleptic Gregorian calendar.
416    pub fn day_of_yr(&self, ymd: Option<(i64, u8, u8)>) -> u16 {
417        let (yr, month, day) = if let Some(ymd) = ymd {
418            ymd
419        } else {
420            let g = self.to_ymd();
421            (g.yr, g.mo, g.day)
422        };
423        let jd = Self::ymd_to_jd(yr, month, day);
424        let jd_jan1 = Self::ymd_to_jd(yr, 1, 1);
425
426        let doy = jd.saturating_sub(jd_jan1).saturating_add(1);
427        doy as u16
428    }
429
430    /// Sunday-based week number (`%U` in strftime).
431    ///
432    /// Range: `0..=53`.
433    /// - Week 0 contains the days *before* the first Sunday of the year.
434    /// - Week 1 begins on the first Sunday of the year.
435    ///
436    /// The optional `ymd` and `doy` arguments are performance optimisations
437    /// (same pattern used throughout the file for `day_of_year`, `to_iso_wk_date`, etc.).
438    /// Pass whichever you already have; the function will use the fastest path.
439    pub fn wk_sun(&self, ymd: Option<(i64, u8, u8)>, doy: Option<u16>) -> u8 {
440        let (yr, _, _) = if let Some(ymd) = ymd {
441            ymd
442        } else {
443            let g = self.to_ymd();
444            (g.yr, g.mo, g.day)
445        };
446        let doy = if let Some(doy) = doy {
447            doy
448        } else {
449            self.day_of_yr(ymd)
450        };
451        let jan1_jd = Self::ymd_to_jd(yr, 1, 1);
452        let wd_jan1 = Self::jd_to_wkday(jan1_jd);
453        let days_to_first_sunday = (7u8 - wd_jan1) % 7u8;
454        let first_sunday_doy = days_to_first_sunday as u16 + 1;
455        if doy < first_sunday_doy {
456            0
457        } else {
458            let days_since_first_sunday = doy.saturating_sub(first_sunday_doy);
459            ((days_since_first_sunday / 7) + 1) as u8
460        }
461    }
462
463    /// Monday-based week number (`%W` in strftime).
464    ///
465    /// Range: `0..=53`.
466    /// - Week 0 contains the days *before* the first Monday of the year.
467    /// - Week 1 begins on the first Monday of the year.
468    ///
469    /// The optional `ymd` and `doy` arguments are performance optimisations
470    /// (same pattern as `wk_sun`, `day_of_yr`, `to_iso_wk_date`, etc.).
471    pub fn wk_mon(&self, ymd: Option<(i64, u8, u8)>, doy: Option<u16>) -> u8 {
472        let (yr, _, _) = if let Some(ymd) = ymd {
473            ymd
474        } else {
475            let g = self.to_ymd();
476            (g.yr, g.mo, g.day)
477        };
478        let doy = if let Some(doy) = doy {
479            doy
480        } else {
481            self.day_of_yr(ymd)
482        };
483        let jan1_jd = Self::ymd_to_jd(yr, 1, 1);
484        let wd_jan1 = Self::jd_to_wkday(jan1_jd);
485        let days_to_first_monday = (1i64 - wd_jan1 as i64).rem_euclid(7);
486        let first_monday_doy = days_to_first_monday as u16 + 1;
487        if doy < first_monday_doy {
488            0
489        } else {
490            let days_since_first_monday = doy.saturating_sub(first_monday_doy);
491            ((days_since_first_monday / 7) + 1) as u8
492        }
493    }
494
495    /// Returns the ISO 8601 week date for this `Dt`.
496    ///
497    /// Returns `(iso_year, iso_week, weekday)` where:
498    /// - `iso_year` is the ISO week year (may differ from the Gregorian year near
499    ///   year boundaries),
500    /// - `iso_week` is the week number in the range `1..=53`,
501    /// - `weekday` is a [`Weekday`] value (Monday-based week).
502    ///
503    /// Follows the ISO 8601 standard: weeks start on Monday and week 1 is the
504    /// week containing January 4.
505    ///
506    /// The optional `ymd` argument is a performance optimization. If provided,
507    /// it is used directly; otherwise [`to_gregorian_ymd`](Self::to_gregorian_ymd)
508    /// is called internally.
509    pub fn to_iso_wk_date(&self, ymd: Option<(i64, u8, u8)>) -> (i64, u8, Weekday) {
510        let (yr, month, day) = if let Some(ymd) = ymd {
511            ymd
512        } else {
513            let g = self.to_ymd();
514            (g.yr, g.mo, g.day)
515        };
516        let jd = Self::ymd_to_jd(yr, month, day);
517        let wd = Self::jd_to_wkday(jd);
518        let wd_iso = if wd == 0 { 7 } else { wd };
519
520        let jan4_jd = Self::ymd_to_jd(yr, 1, 4);
521        let wd_jan4 = Self::jd_to_wkday(jan4_jd);
522        let days_to_monday = {
523            let tmp = (wd_jan4 as i64) + 6;
524            let rem = tmp % 7;
525            if rem < 0 { rem + 7 } else { rem }
526        };
527
528        let monday_wk1 = jan4_jd - days_to_monday;
529
530        let days_since = jd - monday_wk1;
531
532        let wk = if days_since < 0 {
533            0u8
534        } else {
535            ((days_since / 7) + 1) as u8
536        };
537
538        let iso_yr = if wk == 0 {
539            yr - 1
540        } else if wk >= 53 && !Self::has_iso_wk_53(yr) {
541            yr + 1
542        } else {
543            yr
544        };
545
546        let iso_wk = if wk == 0 {
547            if Self::has_iso_wk_53(yr - 1) { 53 } else { 52 }
548        } else if (wk == 53 && !Self::has_iso_wk_53(yr)) || wk > 53 {
549            1
550        } else {
551            wk
552        };
553        let wkday_enum = match Weekday::from_monday_one_offset(wd_iso) {
554            Some(w) => w,
555            None => Weekday::Monday,
556        };
557
558        (iso_yr, iso_wk, wkday_enum)
559    }
560
561    /// Number of days in a month under proleptic Gregorian rules.
562    #[inline]
563    pub const fn days_in_month(yr: i64, mo: u8) -> u8 {
564        match mo {
565            1 | 3 | 5 | 7 | 8 | 10 | 12 => 31,
566            4 | 6 | 9 | 11 => 30,
567            2 => {
568                if Self::is_leap_yr(yr) {
569                    29
570                } else {
571                    28
572                }
573            }
574            _ => 0,
575        }
576    }
577
578    /// Clamps month, day, hour, minutes, and seconds values. Clamps days to what is
579    /// correct for that particular propleptic gregorian month.
580    ///
581    /// For example the year 2000 is a leap year, and February in that year has 29 days
582    /// so the days are clamped to 1-29 in that year, but 1-28 in non-leap years.
583    pub const fn clamp_mdhms(
584        yr: i64,
585        mo: u8,
586        day: u8,
587        hr: u8,
588        min: u8,
589        sec: u8,
590    ) -> (u8, u8, u8, u8, u8) {
591        let mo = Self::clamp_u8(mo, 1, 12);
592        let max_day = Self::days_in_month(yr, mo);
593        let day = Self::clamp_u8(day, 1, max_day);
594        let h = Self::clamp_u8(hr, 0, 23);
595        let m = Self::clamp_u8(min, 0, 59);
596        let s = Self::clamp_u8(sec, 0, 60);
597
598        (mo, day, h, m, s)
599    }
600}