polars_time/windows/

duration.rs

use std::cmp::Ordering;
use std::fmt::{Display, Formatter};
use std::ops::{Mul, Neg};

#[cfg(feature = "timezones")]
use arrow::legacy::kernels::{Ambiguous, NonExistent};
use arrow::legacy::time_zone::Tz;
use arrow::temporal_conversions::{
    MICROSECONDS, MILLISECONDS, NANOSECONDS, timestamp_ms_to_datetime, timestamp_ns_to_datetime,
    timestamp_us_to_datetime,
};
use chrono::{Datelike, NaiveDate, NaiveDateTime, NaiveTime, Timelike};
use polars_core::datatypes::DataType;
use polars_core::prelude::{
    PolarsResult, TimeZone, datetime_to_timestamp_ms, datetime_to_timestamp_ns,
    datetime_to_timestamp_us, polars_bail,
};
use polars_error::polars_ensure;
#[cfg(feature = "serde")]
use serde::{Deserialize, Serialize};

use super::calendar::{
    NS_DAY, NS_HOUR, NS_MICROSECOND, NS_MILLISECOND, NS_MINUTE, NS_SECOND, NS_WEEK,
};
#[cfg(feature = "timezones")]
use crate::utils::{localize_datetime_opt, try_localize_datetime, unlocalize_datetime};
use crate::windows::calendar::{DAYS_PER_MONTH, is_leap_year};

#[derive(Copy, Clone, Debug, Eq, PartialEq, Hash)]
#[cfg_attr(feature = "serde", derive(Serialize, Deserialize))]
#[cfg_attr(feature = "dsl-schema", derive(schemars::JsonSchema))]
pub struct Duration {
    // the number of months for the duration
    months: i64,
    // the number of weeks for the duration
    weeks: i64,
    // the number of days for the duration
    days: i64,
    // the number of nanoseconds for the duration
    nsecs: i64,
    // indicates if the duration is negative
    pub(crate) negative: bool,
    // indicates if an integer string was passed. e.g. "2i"
    pub parsed_int: bool,
}

impl PartialOrd<Self> for Duration {
    fn partial_cmp(&self, other: &Self) -> Option<Ordering> {
        Some(self.cmp(other))
    }
}

impl Ord for Duration {
    fn cmp(&self, other: &Self) -> Ordering {
        self.duration_ns().cmp(&other.duration_ns())
    }
}

impl Neg for Duration {
    type Output = Self;

    fn neg(self) -> Self::Output {
        Self {
            months: self.months,
            weeks: self.weeks,
            days: self.days,
            nsecs: self.nsecs,
            negative: !self.negative,
            parsed_int: self.parsed_int,
        }
    }
}

impl Display for Duration {
    fn fmt(&self, f: &mut Formatter<'_>) -> std::fmt::Result {
        if self.is_zero() {
            return write!(f, "0s");
        }
        if self.negative {
            write!(f, "-")?
        }
        if self.months > 0 {
            write!(f, "{}mo", self.months)?
        }
        if self.weeks > 0 {
            write!(f, "{}w", self.weeks)?
        }
        if self.days > 0 {
            write!(f, "{}d", self.days)?
        }
        if self.nsecs > 0 {
            let secs = self.nsecs / NANOSECONDS;
            if secs * NANOSECONDS == self.nsecs {
                write!(f, "{secs}s")?
            } else {
                let us = self.nsecs / 1_000;
                if us * 1_000 == self.nsecs {
                    write!(f, "{us}us")?
                } else {
                    write!(f, "{}ns", self.nsecs)?
                }
            }
        }
        Ok(())
    }
}

impl Duration {
    /// Create a new integer size `Duration`
    pub fn new(fixed_slots: i64) -> Self {
        Duration {
            months: 0,
            weeks: 0,
            days: 0,
            nsecs: fixed_slots.abs(),
            negative: fixed_slots < 0,
            parsed_int: true,
        }
    }

    /// Parse a string into a `Duration`
    ///
    /// Strings are composed of a sequence of number-unit pairs, such as `5d` (5 days). A string may begin with a minus
    /// sign, in which case it is interpreted as a negative duration. Some examples:
    ///
    /// * `"1y"`: 1 year
    /// * `"-1w2d"`: negative 1 week, 2 days (i.e. -9 days)
    /// * `"3d12h4m25s"`: 3 days, 12 hours, 4 minutes, and 25 seconds
    ///
    /// Aside from a leading minus sign, strings may not contain any characters other than numbers and letters
    /// (including whitespace).
    ///
    /// The available units, in ascending order of magnitude, are as follows:
    ///
    /// * `ns`: nanosecond
    /// * `us`: microsecond
    /// * `ms`: millisecond
    /// * `s`:  second
    /// * `m`:  minute
    /// * `h`:  hour
    /// * `d`:  day
    /// * `w`:  week
    /// * `mo`: calendar month
    /// * `q`: calendar quarter
    /// * `y`:  calendar year
    /// * `i`:  index value (only for {Int32, Int64} dtypes)
    ///
    /// By "calendar day", we mean the corresponding time on the next
    /// day (which may not be 24 hours, depending on daylight savings).
    /// Similarly for "calendar week", "calendar month", "calendar quarter",
    /// and "calendar year".
    ///
    /// # Panics
    /// If the given str is invalid for any reason.
    pub fn parse(duration: &str) -> Self {
        Self::try_parse(duration).unwrap()
    }

    #[doc(hidden)]
    /// Parse SQL-style "interval" string to Duration. Handles verbose
    /// units (such as 'year', 'minutes', etc.) and whitespace, as
    /// well as being case-insensitive.
    pub fn parse_interval(interval: &str) -> Self {
        Self::try_parse_interval(interval).unwrap()
    }

    pub fn try_parse(duration: &str) -> PolarsResult<Self> {
        Self::_parse(duration, false)
    }

    pub fn try_parse_interval(interval: &str) -> PolarsResult<Self> {
        Self::_parse(&interval.to_ascii_lowercase(), true)
    }

    fn _parse(s: &str, as_interval: bool) -> PolarsResult<Self> {
        let s = if as_interval { s.trim_start() } else { s };

        let parse_type = if as_interval { "interval" } else { "duration" };
        let num_minus_signs = s.matches('-').count();
        if num_minus_signs > 1 {
            polars_bail!(InvalidOperation: "{} string can only have a single minus sign", parse_type);
        }
        if num_minus_signs > 0 {
            if as_interval {
                // TODO: intervals need to support per-element minus signs
                polars_bail!(InvalidOperation: "minus signs are not currently supported in interval strings");
            } else if !s.starts_with('-') {
                polars_bail!(InvalidOperation: "only a single minus sign is allowed, at the front of the string");
            }
        }
        let mut months = 0;
        let mut weeks = 0;
        let mut days = 0;
        let mut nsecs = 0;

        let negative = s.starts_with('-');
        let mut iter = s.char_indices().peekable();
        let mut start = 0;

        // skip the '-' char
        if negative {
            start += 1;
            iter.next().unwrap();
        }
        // permissive whitespace for intervals
        if as_interval {
            while let Some((i, ch)) = iter.peek() {
                if *ch == ' ' {
                    start = *i + 1;
                    iter.next();
                } else {
                    break;
                }
            }
        }
        // reserve capacity for the longest valid unit ("microseconds")
        let mut unit = String::with_capacity(12);
        let mut parsed_int = false;
        let mut last_ch_opt: Option<char> = None;

        while let Some((i, mut ch)) = iter.next() {
            if !ch.is_ascii_digit() {
                let Ok(n) = s[start..i].parse::<i64>() else {
                    polars_bail!(InvalidOperation:
                        "expected leading integer in the {} string, found {}",
                        parse_type, ch
                    );
                };

                loop {
                    match ch {
                        c if c.is_ascii_alphabetic() => unit.push(c),
                        ' ' | ',' if as_interval => {},
                        _ => break,
                    }
                    match iter.next() {
                        Some((i, ch_)) => {
                            ch = ch_;
                            start = i
                        },
                        None => break,
                    }
                }
                if unit.is_empty() {
                    polars_bail!(InvalidOperation:
                        "expected a unit to follow integer in the {} string '{}'",
                        parse_type, s
                    );
                }
                match &*unit {
                    // matches that are allowed for both duration/interval
                    "ns" => nsecs += n,
                    "us" => nsecs += n * NS_MICROSECOND,
                    "ms" => nsecs += n * NS_MILLISECOND,
                    "s" => nsecs += n * NS_SECOND,
                    "m" => nsecs += n * NS_MINUTE,
                    "h" => nsecs += n * NS_HOUR,
                    "d" => days += n,
                    "w" => weeks += n,
                    "mo" => months += n,
                    "q" => months += n * 3,
                    "y" => months += n * 12,
                    "i" => {
                        nsecs += n;
                        parsed_int = true;
                    },
                    _ if as_interval => match &*unit {
                        // interval-only (verbose/sql) matches
                        "nanosecond" | "nanoseconds" => nsecs += n,
                        "microsecond" | "microseconds" => nsecs += n * NS_MICROSECOND,
                        "millisecond" | "milliseconds" => nsecs += n * NS_MILLISECOND,
                        "sec" | "secs" | "second" | "seconds" => nsecs += n * NS_SECOND,
                        "min" | "mins" | "minute" | "minutes" => nsecs += n * NS_MINUTE,
                        "hour" | "hours" => nsecs += n * NS_HOUR,
                        "day" | "days" => days += n,
                        "week" | "weeks" => weeks += n,
                        "mon" | "mons" | "month" | "months" => months += n,
                        "quarter" | "quarters" => months += n * 3,
                        "year" | "years" => months += n * 12,
                        _ => {
                            let valid_units = "'year', 'month', 'quarter', 'week', 'day', 'hour', 'minute', 'second', 'millisecond', 'microsecond', 'nanosecond'";
                            polars_bail!(InvalidOperation: "unit: '{unit}' not supported; available units include: {} (and their plurals)", valid_units);
                        },
                    },
                    _ => {
                        polars_bail!(InvalidOperation: "unit: '{unit}' not supported; available units are: 'y', 'mo', 'q', 'w', 'd', 'h', 'm', 's', 'ms', 'us', 'ns'");
                    },
                }
                unit.clear();
            }
            last_ch_opt = Some(ch);
        }
        if let Some(last_ch) = last_ch_opt {
            if last_ch.is_ascii_digit() {
                polars_bail!(InvalidOperation:
                    "expected a unit to follow integer in the {} string '{}'",
                    parse_type, s
                );
            }
        };

        Ok(Duration {
            months: months.abs(),
            weeks: weeks.abs(),
            days: days.abs(),
            nsecs: nsecs.abs(),
            negative,
            parsed_int,
        })
    }

    fn to_positive(v: i64) -> (bool, i64) {
        if v < 0 { (true, -v) } else { (false, v) }
    }

    /// Normalize the duration within the interval.
    /// It will ensure that the output duration is the smallest positive
    /// duration that is the equivalent of the current duration.
    #[allow(dead_code)]
    pub(crate) fn normalize(&self, interval: &Duration) -> Self {
        if self.months_only() && interval.months_only() {
            let mut months = self.months() % interval.months();

            match (self.negative, interval.negative) {
                (true, true) | (true, false) => months = -months + interval.months(),
                _ => {},
            }
            Duration::from_months(months)
        } else if self.weeks_only() && interval.weeks_only() {
            let mut weeks = self.weeks() % interval.weeks();

            match (self.negative, interval.negative) {
                (true, true) | (true, false) => weeks = -weeks + interval.weeks(),
                _ => {},
            }
            Duration::from_weeks(weeks)
        } else if self.days_only() && interval.days_only() {
            let mut days = self.days() % interval.days();

            match (self.negative, interval.negative) {
                (true, true) | (true, false) => days = -days + interval.days(),
                _ => {},
            }
            Duration::from_days(days)
        } else {
            let mut offset = self.duration_ns();
            if offset == 0 {
                return *self;
            }
            let every = interval.duration_ns();

            if offset < 0 {
                offset += every * ((offset / -every) + 1)
            } else {
                offset -= every * (offset / every)
            }
            Duration::from_nsecs(offset)
        }
    }

    /// Creates a [`Duration`] that represents a fixed number of nanoseconds.
    pub(crate) fn from_nsecs(v: i64) -> Self {
        let (negative, nsecs) = Self::to_positive(v);
        Self {
            months: 0,
            weeks: 0,
            days: 0,
            nsecs,
            negative,
            parsed_int: false,
        }
    }

    /// Creates a [`Duration`] that represents a fixed number of months.
    pub(crate) fn from_months(v: i64) -> Self {
        let (negative, months) = Self::to_positive(v);
        Self {
            months,
            weeks: 0,
            days: 0,
            nsecs: 0,
            negative,
            parsed_int: false,
        }
    }

    /// Creates a [`Duration`] that represents a fixed number of weeks.
    pub(crate) fn from_weeks(v: i64) -> Self {
        let (negative, weeks) = Self::to_positive(v);
        Self {
            months: 0,
            weeks,
            days: 0,
            nsecs: 0,
            negative,
            parsed_int: false,
        }
    }

    /// Creates a [`Duration`] that represents a fixed number of days.
    pub(crate) fn from_days(v: i64) -> Self {
        let (negative, days) = Self::to_positive(v);
        Self {
            months: 0,
            weeks: 0,
            days,
            nsecs: 0,
            negative,
            parsed_int: false,
        }
    }

    /// `true` if zero duration.
    pub fn is_zero(&self) -> bool {
        self.months == 0 && self.weeks == 0 && self.days == 0 && self.nsecs == 0
    }

    pub fn months_only(&self) -> bool {
        self.months != 0 && self.weeks == 0 && self.days == 0 && self.nsecs == 0
    }

    pub fn months(&self) -> i64 {
        self.months
    }

    pub fn weeks_only(&self) -> bool {
        self.months == 0 && self.weeks != 0 && self.days == 0 && self.nsecs == 0
    }

    pub fn weeks(&self) -> i64 {
        self.weeks
    }

    pub fn days_only(&self) -> bool {
        self.months == 0 && self.weeks == 0 && self.days != 0 && self.nsecs == 0
    }

    pub fn days(&self) -> i64 {
        self.days
    }

    /// Returns whether the duration consists of full days.
    ///
    /// Note that 24 hours is not considered a full day due to possible
    /// daylight savings time transitions.
    pub fn is_full_days(&self) -> bool {
        self.nsecs == 0
    }

    pub fn is_constant_duration(&self, time_zone: Option<&TimeZone>) -> bool {
        if time_zone.is_none() || time_zone == Some(&TimeZone::UTC) {
            self.months == 0
        } else {
            // For non-native, non-UTC time zones, 1 calendar day is not
            // necessarily 24 hours due to daylight savings time.
            self.months == 0 && self.weeks == 0 && self.days == 0
        }
    }

    /// Returns the nanoseconds from the `Duration` without the weeks or months part.
    pub fn nanoseconds(&self) -> i64 {
        self.nsecs
    }

    /// Returns whether duration is negative.
    pub fn negative(&self) -> bool {
        self.negative
    }

    /// Estimated duration of the window duration. Not a very good one if not a constant duration.
    #[doc(hidden)]
    pub const fn duration_ns(&self) -> i64 {
        self.months * 28 * 24 * 3600 * NANOSECONDS
            + self.weeks * NS_WEEK
            + self.days * NS_DAY
            + self.nsecs
    }

    #[doc(hidden)]
    pub const fn duration_us(&self) -> i64 {
        self.months * 28 * 24 * 3600 * MICROSECONDS
            + (self.weeks * NS_WEEK / 1000 + self.nsecs / 1000 + self.days * NS_DAY / 1000)
    }

    #[doc(hidden)]
    pub const fn duration_ms(&self) -> i64 {
        self.months * 28 * 24 * 3600 * MILLISECONDS
            + (self.weeks * NS_WEEK / 1_000_000
                + self.nsecs / 1_000_000
                + self.days * NS_DAY / 1_000_000)
    }

    #[doc(hidden)]
    fn add_month(ts: NaiveDateTime, n_months: i64, negative: bool) -> NaiveDateTime {
        let mut months = n_months;
        if negative {
            months = -months;
        }

        // Retrieve the current date and increment the values
        // based on the number of months
        let mut year = ts.year();
        let mut month = ts.month() as i32;
        let mut day = ts.day();
        year += (months / 12) as i32;
        month += (months % 12) as i32;

        // if the month overflowed or underflowed, adjust the year
        // accordingly. Because we add the modulo for the months
        // the year will only adjust by one
        if month > 12 {
            year += 1;
            month -= 12;
        } else if month <= 0 {
            year -= 1;
            month += 12;
        }

        // Normalize the day if we are past the end of the month.
        let last_day_of_month =
            DAYS_PER_MONTH[is_leap_year(year) as usize][(month - 1) as usize] as u32;

        if day > last_day_of_month {
            day = last_day_of_month
        }

        // Retrieve the original time and construct a data
        // with the new year, month and day
        let hour = ts.hour();
        let minute = ts.minute();
        let sec = ts.second();
        let nsec = ts.nanosecond();
        new_datetime(year, month as u32, day, hour, minute, sec, nsec).expect(
            "Expected valid datetime, please open an issue at https://github.com/pola-rs/polars/issues"
        )
    }

    /// Localize result to given time zone, respecting DST fold of original datetime.
    /// For example, 2022-11-06 01:30:00 CST truncated by 1 hour becomes 2022-11-06 01:00:00 CST,
    /// whereas 2022-11-06 01:30:00 CDT truncated by 1 hour becomes 2022-11-06 01:00:00 CDT.
    ///
    /// * `original_dt_local` - original datetime, without time zone.
    ///   E.g. if the original datetime was 2022-11-06 01:30:00 CST, then this would
    ///   be 2022-11-06 01:30:00.
    /// * `original_dt_utc` - original datetime converted to UTC. E.g. if the
    ///   original datetime was 2022-11-06 01:30:00 CST, then this would
    ///   be 2022-11-06 07:30:00.
    /// * `result_dt_local` - result, without time zone.
    #[cfg(feature = "timezones")]
    fn localize_result(
        &self,
        original_dt_local: NaiveDateTime,
        original_dt_utc: NaiveDateTime,
        result_dt_local: NaiveDateTime,
        tz: &Tz,
    ) -> PolarsResult<NaiveDateTime> {
        match localize_datetime_opt(result_dt_local, tz, Ambiguous::Raise) {
            Some(dt) => Ok(dt.expect("we didn't use Ambiguous::Null")),
            None => {
                if try_localize_datetime(
                    original_dt_local,
                    tz,
                    Ambiguous::Earliest,
                    NonExistent::Raise,
                )?
                .expect("we didn't use Ambiguous::Null or NonExistent::Null")
                    == original_dt_utc
                {
                    Ok(try_localize_datetime(
                        result_dt_local,
                        tz,
                        Ambiguous::Earliest,
                        NonExistent::Raise,
                    )?
                    .expect("we didn't use Ambiguous::Null or NonExistent::Null"))
                } else if try_localize_datetime(
                    original_dt_local,
                    tz,
                    Ambiguous::Latest,
                    NonExistent::Raise,
                )?
                .expect("we didn't use Ambiguous::Null or NonExistent::Null")
                    == original_dt_utc
                {
                    Ok(try_localize_datetime(
                        result_dt_local,
                        tz,
                        Ambiguous::Latest,
                        NonExistent::Raise,
                    )?
                    .expect("we didn't use Ambiguous::Null or NonExistent::Null"))
                } else {
                    unreachable!()
                }
            },
        }
    }

    fn truncate_subweekly<G, J>(
        &self,
        t: i64,
        tz: Option<&Tz>,
        duration: i64,
        _timestamp_to_datetime: G,
        _datetime_to_timestamp: J,
    ) -> PolarsResult<i64>
    where
        G: Fn(i64) -> NaiveDateTime,
        J: Fn(NaiveDateTime) -> i64,
    {
        match tz {
            #[cfg(feature = "timezones")]
            // for UTC, use fastpath below (same as naive)
            Some(tz) if tz != &chrono_tz::UTC => {
                let original_dt_utc = _timestamp_to_datetime(t);
                let original_dt_local = unlocalize_datetime(original_dt_utc, tz);
                let t = _datetime_to_timestamp(original_dt_local);
                let mut remainder = t % duration;
                if remainder < 0 {
                    remainder += duration
                }
                let result_timestamp = t - remainder;
                let result_dt_local = _timestamp_to_datetime(result_timestamp);
                let result_dt_utc =
                    self.localize_result(original_dt_local, original_dt_utc, result_dt_local, tz)?;
                Ok(_datetime_to_timestamp(result_dt_utc))
            },
            _ => {
                let mut remainder = t % duration;
                if remainder < 0 {
                    remainder += duration
                }
                Ok(t - remainder)
            },
        }
    }

    fn truncate_weekly<G, J>(
        &self,
        t: i64,
        tz: Option<&Tz>,
        _timestamp_to_datetime: G,
        _datetime_to_timestamp: J,
        daily_duration: i64,
    ) -> PolarsResult<i64>
    where
        G: Fn(i64) -> NaiveDateTime,
        J: Fn(NaiveDateTime) -> i64,
    {
        let _original_dt_utc: Option<NaiveDateTime>;
        let _original_dt_local: Option<NaiveDateTime>;
        let t = match tz {
            #[cfg(feature = "timezones")]
            // for UTC, use fastpath below (same as naive)
            Some(tz) if tz != &chrono_tz::UTC => {
                _original_dt_utc = Some(_timestamp_to_datetime(t));
                _original_dt_local = Some(unlocalize_datetime(_original_dt_utc.unwrap(), tz));
                _datetime_to_timestamp(_original_dt_local.unwrap())
            },
            _ => {
                _original_dt_utc = None;
                _original_dt_local = None;
                t
            },
        };
        // If we did
        //   t - (t % (7 * self.weeks * daily_duration))
        // then the timestamp would get truncated to the previous Thursday,
        // because 1970-01-01 (timestamp 0) is a Thursday.
        // So, we adjust by 4 days to get to Monday.
        let mut remainder = (t - 4 * daily_duration) % (7 * self.weeks * daily_duration);
        if remainder < 0 {
            remainder += 7 * self.weeks * daily_duration
        }
        let result_t_local = t - remainder;
        match tz {
            #[cfg(feature = "timezones")]
            // for UTC, use fastpath below (same as naive)
            Some(tz) if tz != &chrono_tz::UTC => {
                let result_dt_local = _timestamp_to_datetime(result_t_local);
                let result_dt_utc = self.localize_result(
                    _original_dt_local.unwrap(),
                    _original_dt_utc.unwrap(),
                    result_dt_local,
                    tz,
                )?;
                Ok(_datetime_to_timestamp(result_dt_utc))
            },
            _ => Ok(result_t_local),
        }
    }
    fn truncate_monthly<G, J>(
        &self,
        t: i64,
        tz: Option<&Tz>,
        timestamp_to_datetime: G,
        datetime_to_timestamp: J,
        daily_duration: i64,
    ) -> PolarsResult<i64>
    where
        G: Fn(i64) -> NaiveDateTime,
        J: Fn(NaiveDateTime) -> i64,
    {
        let original_dt_utc;
        let original_dt_local;
        let t = match tz {
            #[cfg(feature = "timezones")]
            // for UTC, use fastpath below (same as naive)
            Some(tz) if tz != &chrono_tz::UTC => {
                original_dt_utc = timestamp_to_datetime(t);
                original_dt_local = unlocalize_datetime(original_dt_utc, tz);
                datetime_to_timestamp(original_dt_local)
            },
            _ => {
                original_dt_utc = timestamp_to_datetime(t);
                original_dt_local = original_dt_utc;
                datetime_to_timestamp(original_dt_local)
            },
        };

        // Remove the time of day from the timestamp
        // e.g. 2020-01-01 12:34:56 -> 2020-01-01 00:00:00
        let mut remainder_time = t % daily_duration;
        if remainder_time < 0 {
            remainder_time += daily_duration
        }
        let t = t - remainder_time;

        // Calculate how many months we need to subtract...
        let (mut year, mut month) = (
            original_dt_local.year() as i64,
            original_dt_local.month() as i64,
        );
        let total = ((year - 1970) * 12) + (month - 1);
        let mut remainder_months = total % self.months;
        if remainder_months < 0 {
            remainder_months += self.months
        }

        // ...and translate that to how many days we need to subtract.
        let mut _is_leap_year = is_leap_year(year as i32);
        let mut remainder_days = (original_dt_local.day() - 1) as i64;
        while remainder_months > 12 {
            let prev_year_is_leap_year = is_leap_year((year - 1) as i32);
            let add_extra_day =
                (_is_leap_year && month > 2) || (prev_year_is_leap_year && month <= 2);
            remainder_days += 365 + add_extra_day as i64;
            remainder_months -= 12;
            year -= 1;
            _is_leap_year = prev_year_is_leap_year;
        }
        while remainder_months > 0 {
            month -= 1;
            if month == 0 {
                year -= 1;
                _is_leap_year = is_leap_year(year as i32);
                month = 12;
            }
            remainder_days += DAYS_PER_MONTH[_is_leap_year as usize][(month - 1) as usize];
            remainder_months -= 1;
        }

        match tz {
            #[cfg(feature = "timezones")]
            // for UTC, use fastpath below (same as naive)
            Some(tz) if tz != &chrono_tz::UTC => {
                let result_dt_local = timestamp_to_datetime(t - remainder_days * daily_duration);
                let result_dt_utc =
                    self.localize_result(original_dt_local, original_dt_utc, result_dt_local, tz)?;
                Ok(datetime_to_timestamp(result_dt_utc))
            },
            _ => Ok(t - remainder_days * daily_duration),
        }
    }

    #[inline]
    pub fn truncate_impl<F, G, J>(
        &self,
        t: i64,
        tz: Option<&Tz>,
        nsecs_to_unit: F,
        timestamp_to_datetime: G,
        datetime_to_timestamp: J,
    ) -> PolarsResult<i64>
    where
        F: Fn(i64) -> i64,
        G: Fn(i64) -> NaiveDateTime,
        J: Fn(NaiveDateTime) -> i64,
    {
        match (self.months, self.weeks, self.days, self.nsecs) {
            (0, 0, 0, 0) => polars_bail!(ComputeError: "duration cannot be zero"),
            // truncate by ns/us/ms
            (0, 0, 0, _) => {
                let duration = nsecs_to_unit(self.nsecs);
                self.truncate_subweekly(
                    t,
                    tz,
                    duration,
                    timestamp_to_datetime,
                    datetime_to_timestamp,
                )
            },
            // truncate by days
            (0, 0, _, 0) => {
                let duration = self.days * nsecs_to_unit(NS_DAY);
                self.truncate_subweekly(
                    t,
                    tz,
                    duration,
                    timestamp_to_datetime,
                    datetime_to_timestamp,
                )
            },
            // truncate by weeks
            (0, _, 0, 0) => {
                let duration = nsecs_to_unit(NS_DAY);
                self.truncate_weekly(
                    t,
                    tz,
                    timestamp_to_datetime,
                    datetime_to_timestamp,
                    duration,
                )
            },
            // truncate by months
            (_, 0, 0, 0) => {
                let duration = nsecs_to_unit(NS_DAY);
                self.truncate_monthly(
                    t,
                    tz,
                    timestamp_to_datetime,
                    datetime_to_timestamp,
                    duration,
                )
            },
            _ => {
                polars_bail!(ComputeError: "cannot mix month, week, day, and sub-daily units for this operation")
            },
        }
    }

    // Truncate the given ns timestamp by the window boundary.
    #[inline]
    pub fn truncate_ns(&self, t: i64, tz: Option<&Tz>) -> PolarsResult<i64> {
        self.truncate_impl(
            t,
            tz,
            |nsecs| nsecs,
            timestamp_ns_to_datetime,
            datetime_to_timestamp_ns,
        )
    }

    // Truncate the given ns timestamp by the window boundary.
    #[inline]
    pub fn truncate_us(&self, t: i64, tz: Option<&Tz>) -> PolarsResult<i64> {
        self.truncate_impl(
            t,
            tz,
            |nsecs| nsecs / 1000,
            timestamp_us_to_datetime,
            datetime_to_timestamp_us,
        )
    }

    // Truncate the given ms timestamp by the window boundary.
    #[inline]
    pub fn truncate_ms(&self, t: i64, tz: Option<&Tz>) -> PolarsResult<i64> {
        self.truncate_impl(
            t,
            tz,
            |nsecs| nsecs / 1_000_000,
            timestamp_ms_to_datetime,
            datetime_to_timestamp_ms,
        )
    }

    fn add_impl_month_week_or_day<F, G, J>(
        &self,
        mut t: i64,
        tz: Option<&Tz>,
        nsecs_to_unit: F,
        timestamp_to_datetime: G,
        datetime_to_timestamp: J,
    ) -> PolarsResult<i64>
    where
        F: Fn(i64) -> i64,
        G: Fn(i64) -> NaiveDateTime,
        J: Fn(NaiveDateTime) -> i64,
    {
        let d = self;

        if d.months > 0 {
            let ts = match tz {
                #[cfg(feature = "timezones")]
                // for UTC, use fastpath below (same as naive)
                Some(tz) if tz != &chrono_tz::UTC => {
                    unlocalize_datetime(timestamp_to_datetime(t), tz)
                },
                _ => timestamp_to_datetime(t),
            };
            let dt = Self::add_month(ts, d.months, d.negative);
            t = match tz {
                #[cfg(feature = "timezones")]
                // for UTC, use fastpath below (same as naive)
                Some(tz) if tz != &chrono_tz::UTC => datetime_to_timestamp(
                    try_localize_datetime(dt, tz, Ambiguous::Raise, NonExistent::Raise)?
                        .expect("we didn't use Ambiguous::Null or NonExistent::Null"),
                ),
                _ => datetime_to_timestamp(dt),
            };
        }

        if d.weeks > 0 {
            let t_weeks = nsecs_to_unit(NS_WEEK) * self.weeks;
            match tz {
                #[cfg(feature = "timezones")]
                // for UTC, use fastpath below (same as naive)
                Some(tz) if tz != &chrono_tz::UTC => {
                    t = datetime_to_timestamp(unlocalize_datetime(timestamp_to_datetime(t), tz));
                    t += if d.negative { -t_weeks } else { t_weeks };
                    t = datetime_to_timestamp(
                        try_localize_datetime(
                            timestamp_to_datetime(t),
                            tz,
                            Ambiguous::Raise,
                            NonExistent::Raise,
                        )?
                        .expect("we didn't use Ambiguous::Null or NonExistent::Null"),
                    );
                },
                _ => t += if d.negative { -t_weeks } else { t_weeks },
            };
        }

        if d.days > 0 {
            let t_days = nsecs_to_unit(NS_DAY) * self.days;
            match tz {
                #[cfg(feature = "timezones")]
                // for UTC, use fastpath below (same as naive)
                Some(tz) if tz != &chrono_tz::UTC => {
                    t = datetime_to_timestamp(unlocalize_datetime(timestamp_to_datetime(t), tz));
                    t += if d.negative { -t_days } else { t_days };
                    t = datetime_to_timestamp(
                        try_localize_datetime(
                            timestamp_to_datetime(t),
                            tz,
                            Ambiguous::Raise,
                            NonExistent::Raise,
                        )?
                        .expect("we didn't use Ambiguous::Null or NonExistent::Null"),
                    );
                },
                _ => t += if d.negative { -t_days } else { t_days },
            };
        }

        Ok(t)
    }

    pub fn add_ns(&self, t: i64, tz: Option<&Tz>) -> PolarsResult<i64> {
        let d = self;
        let new_t = self.add_impl_month_week_or_day(
            t,
            tz,
            |nsecs| nsecs,
            timestamp_ns_to_datetime,
            datetime_to_timestamp_ns,
        );
        let nsecs = if d.negative { -d.nsecs } else { d.nsecs };
        Ok(new_t? + nsecs)
    }

    pub fn add_us(&self, t: i64, tz: Option<&Tz>) -> PolarsResult<i64> {
        let d = self;
        let new_t = self.add_impl_month_week_or_day(
            t,
            tz,
            |nsecs| nsecs / 1000,
            timestamp_us_to_datetime,
            datetime_to_timestamp_us,
        );
        let nsecs = if d.negative { -d.nsecs } else { d.nsecs };
        Ok(new_t? + nsecs / 1_000)
    }

    pub fn add_ms(&self, t: i64, tz: Option<&Tz>) -> PolarsResult<i64> {
        let d = self;
        let new_t = self.add_impl_month_week_or_day(
            t,
            tz,
            |nsecs| nsecs / 1_000_000,
            timestamp_ms_to_datetime,
            datetime_to_timestamp_ms,
        );
        let nsecs = if d.negative { -d.nsecs } else { d.nsecs };
        Ok(new_t? + nsecs / 1_000_000)
    }
}

impl Mul<i64> for Duration {
    type Output = Self;

    fn mul(mut self, mut rhs: i64) -> Self {
        if rhs < 0 {
            rhs = -rhs;
            self.negative = !self.negative
        }
        self.months *= rhs;
        self.weeks *= rhs;
        self.days *= rhs;
        self.nsecs *= rhs;
        self
    }
}

fn new_datetime(
    year: i32,
    month: u32,
    days: u32,
    hour: u32,
    min: u32,
    sec: u32,
    nano: u32,
) -> Option<NaiveDateTime> {
    let date = NaiveDate::from_ymd_opt(year, month, days)?;
    let time = NaiveTime::from_hms_nano_opt(hour, min, sec, nano)?;
    Some(NaiveDateTime::new(date, time))
}

pub fn ensure_is_constant_duration(
    duration: Duration,
    time_zone: Option<&TimeZone>,
    variable_name: &str,
) -> PolarsResult<()> {
    polars_ensure!(duration.is_constant_duration(time_zone),
        InvalidOperation: "expected `{}` to be a constant duration \
            (i.e. one independent of differing month durations or of daylight savings time), got {}.\n\
            \n\
            You may want to try:\n\
            - using `'730h'` instead of `'1mo'`\n\
            - using `'24h'` instead of `'1d'` if your series is time-zone-aware", variable_name, duration);
    Ok(())
}

pub fn ensure_duration_matches_dtype(
    duration: Duration,
    dtype: &DataType,
    variable_name: &str,
) -> PolarsResult<()> {
    match dtype {
        DataType::Int64 | DataType::UInt64 | DataType::Int32 | DataType::UInt32 => {
            polars_ensure!(duration.parsed_int || duration.is_zero(),
                InvalidOperation: "`{}` duration must be a parsed integer (i.e. use '2i', not '2d') when working with a numeric column", variable_name);
        },
        DataType::Datetime(_, _) | DataType::Date | DataType::Duration(_) | DataType::Time => {
            polars_ensure!(!duration.parsed_int,
                InvalidOperation: "`{}` duration may not be a parsed integer (i.e. use '2d', not '2i') when working with a temporal column", variable_name);
        },
        _ => {
            polars_bail!(InvalidOperation: "unsupported data type: {} for temporal/index column, expected UInt64, UInt32, Int64, Int32, Datetime, Date, Duration, or Time", dtype)
        },
    }
    Ok(())
}

#[cfg(test)]
mod test {
    use super::*;

    #[test]
    fn test_parse() {
        let out = Duration::parse("1ns");
        assert_eq!(out.nsecs, 1);
        let out = Duration::parse("1ns1ms");
        assert_eq!(out.nsecs, NS_MILLISECOND + 1);
        let out = Duration::parse("123ns40ms");
        assert_eq!(out.nsecs, 40 * NS_MILLISECOND + 123);
        let out = Duration::parse("123ns40ms1w");
        assert_eq!(out.nsecs, 40 * NS_MILLISECOND + 123);
        assert_eq!(out.duration_ns(), 40 * NS_MILLISECOND + 123 + NS_WEEK);
        let out = Duration::parse("-123ns40ms1w");
        assert!(out.negative);
        let out = Duration::parse("5w");
        assert_eq!(out.weeks(), 5);
    }

    #[test]
    fn test_add_ns() {
        let t = 1;
        let seven_days = Duration::parse("7d");
        let one_week = Duration::parse("1w");

        // add_ns can only error if a time zone is passed, so it's
        // safe to unwrap here
        assert_eq!(
            seven_days.add_ns(t, None).unwrap(),
            one_week.add_ns(t, None).unwrap()
        );

        let seven_days_negative = Duration::parse("-7d");
        let one_week_negative = Duration::parse("-1w");

        // add_ns can only error if a time zone is passed, so it's
        // safe to unwrap here
        assert_eq!(
            seven_days_negative.add_ns(t, None).unwrap(),
            one_week_negative.add_ns(t, None).unwrap()
        );
    }

    #[test]
    fn test_display() {
        let duration = Duration::parse("1h");
        let expected = "3600s";
        assert_eq!(format!("{duration}"), expected);
        let duration = Duration::parse("1h5ns");
        let expected = "3600000000005ns";
        assert_eq!(format!("{duration}"), expected);
        let duration = Duration::parse("1h5000ns");
        let expected = "3600000005us";
        assert_eq!(format!("{duration}"), expected);
        let duration = Duration::parse("3mo");
        let expected = "3mo";
        assert_eq!(format!("{duration}"), expected);
        let duration = Duration::parse_interval("4 weeks");
        let expected = "4w";
        assert_eq!(format!("{duration}"), expected);
    }
}