Vendor oldtime::duration module from time crate

https://github.com/rust-lang-deprecated/time/blob/master/src/duration.rs

src/oldtime.rs

@@ -0,0 +1,648 @@
+// Copyright 2012-2014 The Rust Project Developers. See the COPYRIGHT
+// file at the top-level directory of this distribution and at
+// http://rust-lang.org/COPYRIGHT.
+//
+// Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or
+// http://www.apache.org/licenses/LICENSE-2.0> or the MIT license
+// <LICENSE-MIT or http://opensource.org/licenses/MIT>, at your
+// option. This file may not be copied, modified, or distributed
+// except according to those terms.
+
+//! Temporal quantification
+
+use std::{fmt, i64};
+use std::error::Error;
+use std::ops::{Add, Sub, Mul, Div, Neg, FnOnce};
+use std::time::Duration as StdDuration;
+
+/// The number of nanoseconds in a microsecond.
+const NANOS_PER_MICRO: i32 = 1000;
+/// The number of nanoseconds in a millisecond.
+const NANOS_PER_MILLI: i32 = 1000_000;
+/// The number of nanoseconds in seconds.
+const NANOS_PER_SEC: i32 = 1_000_000_000;
+/// The number of microseconds per second.
+const MICROS_PER_SEC: i64 = 1000_000;
+/// The number of milliseconds per second.
+const MILLIS_PER_SEC: i64 = 1000;
+/// The number of seconds in a minute.
+const SECS_PER_MINUTE: i64 = 60;
+/// The number of seconds in an hour.
+const SECS_PER_HOUR: i64 = 3600;
+/// The number of (non-leap) seconds in days.
+const SECS_PER_DAY: i64 = 86400;
+/// The number of (non-leap) seconds in a week.
+const SECS_PER_WEEK: i64 = 604800;
+
+macro_rules! try_opt {
+    ($e:expr) => (match $e { Some(v) => v, None => return None })
+}
+
+
+/// ISO 8601 time duration with nanosecond precision.
+/// This also allows for the negative duration; see individual methods for details.
+#[derive(Clone, Copy, PartialEq, Eq, PartialOrd, Ord, Debug)]
+pub struct Duration {
+    secs: i64,
+    nanos: i32, // Always 0 <= nanos < NANOS_PER_SEC
+}
+
+/// The minimum possible `Duration`: `i64::MIN` milliseconds.
+pub const MIN: Duration = Duration {
+    secs: i64::MIN / MILLIS_PER_SEC - 1,
+    nanos: NANOS_PER_SEC + (i64::MIN % MILLIS_PER_SEC) as i32 * NANOS_PER_MILLI
+};
+
+/// The maximum possible `Duration`: `i64::MAX` milliseconds.
+pub const MAX: Duration = Duration {
+    secs: i64::MAX / MILLIS_PER_SEC,
+    nanos: (i64::MAX % MILLIS_PER_SEC) as i32 * NANOS_PER_MILLI
+};
+
+impl Duration {
+    /// Makes a new `Duration` with given number of weeks.
+    /// Equivalent to `Duration::seconds(weeks * 7 * 24 * 60 * 60)` with overflow checks.
+    /// Panics when the duration is out of bounds.
+    #[inline]
+    pub fn weeks(weeks: i64) -> Duration {
+        let secs = weeks.checked_mul(SECS_PER_WEEK).expect("Duration::weeks out of bounds");
+        Duration::seconds(secs)
+    }
+
+    /// Makes a new `Duration` with given number of days.
+    /// Equivalent to `Duration::seconds(days * 24 * 60 * 60)` with overflow checks.
+    /// Panics when the duration is out of bounds.
+    #[inline]
+    pub fn days(days: i64) -> Duration {
+        let secs = days.checked_mul(SECS_PER_DAY).expect("Duration::days out of bounds");
+        Duration::seconds(secs)
+    }
+
+    /// Makes a new `Duration` with given number of hours.
+    /// Equivalent to `Duration::seconds(hours * 60 * 60)` with overflow checks.
+    /// Panics when the duration is out of bounds.
+    #[inline]
+    pub fn hours(hours: i64) -> Duration {
+        let secs = hours.checked_mul(SECS_PER_HOUR).expect("Duration::hours ouf of bounds");
+        Duration::seconds(secs)
+    }
+
+    /// Makes a new `Duration` with given number of minutes.
+    /// Equivalent to `Duration::seconds(minutes * 60)` with overflow checks.
+    /// Panics when the duration is out of bounds.
+    #[inline]
+    pub fn minutes(minutes: i64) -> Duration {
+        let secs = minutes.checked_mul(SECS_PER_MINUTE).expect("Duration::minutes out of bounds");
+        Duration::seconds(secs)
+    }
+
+    /// Makes a new `Duration` with given number of seconds.
+    /// Panics when the duration is more than `i64::MAX` milliseconds
+    /// or less than `i64::MIN` milliseconds.
+    #[inline]
+    pub fn seconds(seconds: i64) -> Duration {
+        let d = Duration { secs: seconds, nanos: 0 };
+        if d < MIN || d > MAX {
+            panic!("Duration::seconds out of bounds");
+        }
+        d
+    }
+
+    /// Makes a new `Duration` with given number of milliseconds.
+    #[inline]
+    pub fn milliseconds(milliseconds: i64) -> Duration {
+        let (secs, millis) = div_mod_floor_64(milliseconds, MILLIS_PER_SEC);
+        let nanos = millis as i32 * NANOS_PER_MILLI;
+        Duration { secs: secs, nanos: nanos }
+    }
+
+    /// Makes a new `Duration` with given number of microseconds.
+    #[inline]
+    pub fn microseconds(microseconds: i64) -> Duration {
+        let (secs, micros) = div_mod_floor_64(microseconds, MICROS_PER_SEC);
+        let nanos = micros as i32 * NANOS_PER_MICRO;
+        Duration { secs: secs, nanos: nanos }
+    }
+
+    /// Makes a new `Duration` with given number of nanoseconds.
+    #[inline]
+    pub fn nanoseconds(nanos: i64) -> Duration {
+        let (secs, nanos) = div_mod_floor_64(nanos, NANOS_PER_SEC as i64);
+        Duration { secs: secs, nanos: nanos as i32 }
+    }
+
+    /// Runs a closure, returning the duration of time it took to run the
+    /// closure.
+    pub fn span<F>(f: F) -> Duration where F: FnOnce() {
+        let before = super::precise_time_ns();
+        f();
+        Duration::nanoseconds((super::precise_time_ns() - before) as i64)
+    }
+
+    /// Returns the total number of whole weeks in the duration.
+    #[inline]
+    pub fn num_weeks(&self) -> i64 {
+        self.num_days() / 7
+    }
+
+    /// Returns the total number of whole days in the duration.
+    pub fn num_days(&self) -> i64 {
+        self.num_seconds() / SECS_PER_DAY
+    }
+
+    /// Returns the total number of whole hours in the duration.
+    #[inline]
+    pub fn num_hours(&self) -> i64 {
+        self.num_seconds() / SECS_PER_HOUR
+    }
+
+    /// Returns the total number of whole minutes in the duration.
+    #[inline]
+    pub fn num_minutes(&self) -> i64 {
+        self.num_seconds() / SECS_PER_MINUTE
+    }
+
+    /// Returns the total number of whole seconds in the duration.
+    pub fn num_seconds(&self) -> i64 {
+        // If secs is negative, nanos should be subtracted from the duration.
+        if self.secs < 0 && self.nanos > 0 {
+            self.secs + 1
+        } else {
+            self.secs
+        }
+    }
+
+    /// Returns the number of nanoseconds such that
+    /// `nanos_mod_sec() + num_seconds() * NANOS_PER_SEC` is the total number of
+    /// nanoseconds in the duration.
+    fn nanos_mod_sec(&self) -> i32 {
+        if self.secs < 0 && self.nanos > 0 {
+            self.nanos - NANOS_PER_SEC
+        } else {
+            self.nanos
+        }
+    }
+
+    /// Returns the total number of whole milliseconds in the duration,
+    pub fn num_milliseconds(&self) -> i64 {
+        // A proper Duration will not overflow, because MIN and MAX are defined
+        // such that the range is exactly i64 milliseconds.
+        let secs_part = self.num_seconds() * MILLIS_PER_SEC;
+        let nanos_part = self.nanos_mod_sec() / NANOS_PER_MILLI;
+        secs_part + nanos_part as i64
+    }
+
+    /// Returns the total number of whole microseconds in the duration,
+    /// or `None` on overflow (exceeding 2^63 microseconds in either direction).
+    pub fn num_microseconds(&self) -> Option<i64> {
+        let secs_part = try_opt!(self.num_seconds().checked_mul(MICROS_PER_SEC));
+        let nanos_part = self.nanos_mod_sec() / NANOS_PER_MICRO;
+        secs_part.checked_add(nanos_part as i64)
+    }
+
+    /// Returns the total number of whole nanoseconds in the duration,
+    /// or `None` on overflow (exceeding 2^63 nanoseconds in either direction).
+    pub fn num_nanoseconds(&self) -> Option<i64> {
+        let secs_part = try_opt!(self.num_seconds().checked_mul(NANOS_PER_SEC as i64));
+        let nanos_part = self.nanos_mod_sec();
+        secs_part.checked_add(nanos_part as i64)
+    }
+
+    /// Add two durations, returning `None` if overflow occurred.
+    pub fn checked_add(&self, rhs: &Duration) -> Option<Duration> {
+        let mut secs = try_opt!(self.secs.checked_add(rhs.secs));
+        let mut nanos = self.nanos + rhs.nanos;
+        if nanos >= NANOS_PER_SEC {
+            nanos -= NANOS_PER_SEC;
+            secs = try_opt!(secs.checked_add(1));
+        }
+        let d = Duration { secs: secs, nanos: nanos };
+        // Even if d is within the bounds of i64 seconds,
+        // it might still overflow i64 milliseconds.
+        if d < MIN || d > MAX { None } else { Some(d) }
+    }
+
+    /// Subtract two durations, returning `None` if overflow occurred.
+    pub fn checked_sub(&self, rhs: &Duration) -> Option<Duration> {
+        let mut secs = try_opt!(self.secs.checked_sub(rhs.secs));
+        let mut nanos = self.nanos - rhs.nanos;
+        if nanos < 0 {
+            nanos += NANOS_PER_SEC;
+            secs = try_opt!(secs.checked_sub(1));
+        }
+        let d = Duration { secs: secs, nanos: nanos };
+        // Even if d is within the bounds of i64 seconds,
+        // it might still overflow i64 milliseconds.
+        if d < MIN || d > MAX { None } else { Some(d) }
+    }
+
+    /// The minimum possible `Duration`: `i64::MIN` milliseconds.
+    #[inline]
+    pub fn min_value() -> Duration { MIN }
+
+    /// The maximum possible `Duration`: `i64::MAX` milliseconds.
+    #[inline]
+    pub fn max_value() -> Duration { MAX }
+
+    /// A duration where the stored seconds and nanoseconds are equal to zero.
+    #[inline]
+    pub fn zero() -> Duration {
+        Duration { secs: 0, nanos: 0 }
+    }
+
+    /// Returns `true` if the duration equals `Duration::zero()`.
+    #[inline]
+    pub fn is_zero(&self) -> bool {
+        self.secs == 0 && self.nanos == 0
+    }
+
+    /// Creates a `time::Duration` object from `std::time::Duration`
+    ///
+    /// This function errors when original duration is larger than the maximum
+    /// value supported for this type.
+    pub fn from_std(duration: StdDuration) -> Result<Duration, OutOfRangeError> {
+        // We need to check secs as u64 before coercing to i64
+        if duration.as_secs() > MAX.secs as u64 {
+            return Err(OutOfRangeError(()));
+        }
+        let d = Duration {
+            secs: duration.as_secs() as i64,
+            nanos: duration.subsec_nanos() as i32,
+        };
+        if d > MAX {
+            return Err(OutOfRangeError(()));
+        }
+        Ok(d)
+    }
+
+    /// Creates a `std::time::Duration` object from `time::Duration`
+    ///
+    /// This function errors when duration is less than zero. As standard
+    /// library implementation is limited to non-negative values.
+    pub fn to_std(&self) -> Result<StdDuration, OutOfRangeError> {
+        if self.secs < 0 {
+            return Err(OutOfRangeError(()));
+        }
+        Ok(StdDuration::new(self.secs as u64, self.nanos as u32))
+    }
+}
+
+impl Neg for Duration {
+    type Output = Duration;
+
+    #[inline]
+    fn neg(self) -> Duration {
+        if self.nanos == 0 {
+            Duration { secs: -self.secs, nanos: 0 }
+        } else {
+            Duration { secs: -self.secs - 1, nanos: NANOS_PER_SEC - self.nanos }
+        }
+    }
+}
+
+impl Add for Duration {
+    type Output = Duration;
+
+    fn add(self, rhs: Duration) -> Duration {
+        let mut secs = self.secs + rhs.secs;
+        let mut nanos = self.nanos + rhs.nanos;
+        if nanos >= NANOS_PER_SEC {
+            nanos -= NANOS_PER_SEC;
+            secs += 1;
+        }
+        Duration { secs: secs, nanos: nanos }
+    }
+}
+
+impl Sub for Duration {
+    type Output = Duration;
+
+    fn sub(self, rhs: Duration) -> Duration {
+        let mut secs = self.secs - rhs.secs;
+        let mut nanos = self.nanos - rhs.nanos;
+        if nanos < 0 {
+            nanos += NANOS_PER_SEC;
+            secs -= 1;
+        }
+        Duration { secs: secs, nanos: nanos }
+    }
+}
+
+impl Mul<i32> for Duration {
+    type Output = Duration;
+
+    fn mul(self, rhs: i32) -> Duration {
+        // Multiply nanoseconds as i64, because it cannot overflow that way.
+        let total_nanos = self.nanos as i64 * rhs as i64;
+        let (extra_secs, nanos) = div_mod_floor_64(total_nanos, NANOS_PER_SEC as i64);
+        let secs = self.secs * rhs as i64 + extra_secs;
+        Duration { secs: secs, nanos: nanos as i32 }
+    }
+}
+
+impl Div<i32> for Duration {
+    type Output = Duration;
+
+    fn div(self, rhs: i32) -> Duration {
+        let mut secs = self.secs / rhs as i64;
+        let carry = self.secs - secs * rhs as i64;
+        let extra_nanos = carry * NANOS_PER_SEC as i64 / rhs as i64;
+        let mut nanos = self.nanos / rhs + extra_nanos as i32;
+        if nanos >= NANOS_PER_SEC {
+            nanos -= NANOS_PER_SEC;
+            secs += 1;
+        }
+        if nanos < 0 {
+            nanos += NANOS_PER_SEC;
+            secs -= 1;
+        }
+        Duration { secs: secs, nanos: nanos }
+    }
+}
+
+impl fmt::Display for Duration {
+    fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
+        // technically speaking, negative duration is not valid ISO 8601,
+        // but we need to print it anyway.
+        let (abs, sign) = if self.secs < 0 { (-*self, "-") } else { (*self, "") };
+
+        let days = abs.secs / SECS_PER_DAY;
+        let secs = abs.secs - days * SECS_PER_DAY;
+        let hasdate = days != 0;
+        let hastime = (secs != 0 || abs.nanos != 0) || !hasdate;
+
+        try!(write!(f, "{}P", sign));
+
+        if hasdate {
+            try!(write!(f, "{}D", days));
+        }
+        if hastime {
+            if abs.nanos == 0 {
+                try!(write!(f, "T{}S", secs));
+            } else if abs.nanos % NANOS_PER_MILLI == 0 {
+                try!(write!(f, "T{}.{:03}S", secs, abs.nanos / NANOS_PER_MILLI));
+            } else if abs.nanos % NANOS_PER_MICRO == 0 {
+                try!(write!(f, "T{}.{:06}S", secs, abs.nanos / NANOS_PER_MICRO));
+            } else {
+                try!(write!(f, "T{}.{:09}S", secs, abs.nanos));
+            }
+        }
+        Ok(())
+    }
+}
+
+/// Represents error when converting `Duration` to/from a standard library
+/// implementation
+///
+/// The `std::time::Duration` supports a range from zero to `u64::MAX`
+/// *seconds*, while this module supports signed range of up to
+/// `i64::MAX` of *milliseconds*.
+#[derive(Debug, Clone, Copy, PartialEq, Eq)]
+pub struct OutOfRangeError(());
+
+impl fmt::Display for OutOfRangeError {
+    fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
+        write!(f, "{}", self.description())
+    }
+}
+
+impl Error for OutOfRangeError {
+    fn description(&self) -> &str {
+        "Source duration value is out of range for the target type"
+    }
+}
+
+// Copied from libnum
+#[inline]
+fn div_mod_floor_64(this: i64, other: i64) -> (i64, i64) {
+    (div_floor_64(this, other), mod_floor_64(this, other))
+}
+
+#[inline]
+fn div_floor_64(this: i64, other: i64) -> i64 {
+    match div_rem_64(this, other) {
+        (d, r) if (r > 0 && other < 0)
+               || (r < 0 && other > 0) => d - 1,
+        (d, _)                         => d,
+    }
+}
+
+#[inline]
+fn mod_floor_64(this: i64, other: i64) -> i64 {
+    match this % other {
+        r if (r > 0 && other < 0)
+          || (r < 0 && other > 0) => r + other,
+        r                         => r,
+    }
+}
+
+#[inline]
+fn div_rem_64(this: i64, other: i64) -> (i64, i64) {
+    (this / other, this % other)
+}
+
+#[cfg(test)]
+mod tests {
+    use super::{Duration, MIN, MAX, OutOfRangeError};
+    use std::{i32, i64};
+    use std::time::Duration as StdDuration;
+
+    #[test]
+    fn test_duration() {
+        assert!(Duration::seconds(1) != Duration::zero());
+        assert_eq!(Duration::seconds(1) + Duration::seconds(2), Duration::seconds(3));
+        assert_eq!(Duration::seconds(86399) + Duration::seconds(4),
+                   Duration::days(1) + Duration::seconds(3));
+        assert_eq!(Duration::days(10) - Duration::seconds(1000), Duration::seconds(863000));
+        assert_eq!(Duration::days(10) - Duration::seconds(1000000), Duration::seconds(-136000));
+        assert_eq!(Duration::days(2) + Duration::seconds(86399) +
+                   Duration::nanoseconds(1234567890),
+                   Duration::days(3) + Duration::nanoseconds(234567890));
+        assert_eq!(-Duration::days(3), Duration::days(-3));
+        assert_eq!(-(Duration::days(3) + Duration::seconds(70)),
+                   Duration::days(-4) + Duration::seconds(86400-70));
+    }
+
+    #[test]
+    fn test_duration_num_days() {
+        assert_eq!(Duration::zero().num_days(), 0);
+        assert_eq!(Duration::days(1).num_days(), 1);
+        assert_eq!(Duration::days(-1).num_days(), -1);
+        assert_eq!(Duration::seconds(86399).num_days(), 0);
+        assert_eq!(Duration::seconds(86401).num_days(), 1);
+        assert_eq!(Duration::seconds(-86399).num_days(), 0);
+        assert_eq!(Duration::seconds(-86401).num_days(), -1);
+        assert_eq!(Duration::days(i32::MAX as i64).num_days(), i32::MAX as i64);
+        assert_eq!(Duration::days(i32::MIN as i64).num_days(), i32::MIN as i64);
+    }
+
+    #[test]
+    fn test_duration_num_seconds() {
+        assert_eq!(Duration::zero().num_seconds(), 0);
+        assert_eq!(Duration::seconds(1).num_seconds(), 1);
+        assert_eq!(Duration::seconds(-1).num_seconds(), -1);
+        assert_eq!(Duration::milliseconds(999).num_seconds(), 0);
+        assert_eq!(Duration::milliseconds(1001).num_seconds(), 1);
+        assert_eq!(Duration::milliseconds(-999).num_seconds(), 0);
+        assert_eq!(Duration::milliseconds(-1001).num_seconds(), -1);
+    }
+
+    #[test]
+    fn test_duration_num_milliseconds() {
+        assert_eq!(Duration::zero().num_milliseconds(), 0);
+        assert_eq!(Duration::milliseconds(1).num_milliseconds(), 1);
+        assert_eq!(Duration::milliseconds(-1).num_milliseconds(), -1);
+        assert_eq!(Duration::microseconds(999).num_milliseconds(), 0);
+        assert_eq!(Duration::microseconds(1001).num_milliseconds(), 1);
+        assert_eq!(Duration::microseconds(-999).num_milliseconds(), 0);
+        assert_eq!(Duration::microseconds(-1001).num_milliseconds(), -1);
+        assert_eq!(Duration::milliseconds(i64::MAX).num_milliseconds(), i64::MAX);
+        assert_eq!(Duration::milliseconds(i64::MIN).num_milliseconds(), i64::MIN);
+        assert_eq!(MAX.num_milliseconds(), i64::MAX);
+        assert_eq!(MIN.num_milliseconds(), i64::MIN);
+    }
+
+    #[test]
+    fn test_duration_num_microseconds() {
+        assert_eq!(Duration::zero().num_microseconds(), Some(0));
+        assert_eq!(Duration::microseconds(1).num_microseconds(), Some(1));
+        assert_eq!(Duration::microseconds(-1).num_microseconds(), Some(-1));
+        assert_eq!(Duration::nanoseconds(999).num_microseconds(), Some(0));
+        assert_eq!(Duration::nanoseconds(1001).num_microseconds(), Some(1));
+        assert_eq!(Duration::nanoseconds(-999).num_microseconds(), Some(0));
+        assert_eq!(Duration::nanoseconds(-1001).num_microseconds(), Some(-1));
+        assert_eq!(Duration::microseconds(i64::MAX).num_microseconds(), Some(i64::MAX));
+        assert_eq!(Duration::microseconds(i64::MIN).num_microseconds(), Some(i64::MIN));
+        assert_eq!(MAX.num_microseconds(), None);
+        assert_eq!(MIN.num_microseconds(), None);
+
+        // overflow checks
+        const MICROS_PER_DAY: i64 = 86400_000_000;
+        assert_eq!(Duration::days(i64::MAX / MICROS_PER_DAY).num_microseconds(),
+                   Some(i64::MAX / MICROS_PER_DAY * MICROS_PER_DAY));
+        assert_eq!(Duration::days(i64::MIN / MICROS_PER_DAY).num_microseconds(),
+                   Some(i64::MIN / MICROS_PER_DAY * MICROS_PER_DAY));
+        assert_eq!(Duration::days(i64::MAX / MICROS_PER_DAY + 1).num_microseconds(), None);
+        assert_eq!(Duration::days(i64::MIN / MICROS_PER_DAY - 1).num_microseconds(), None);
+    }
+
+    #[test]
+    fn test_duration_num_nanoseconds() {
+        assert_eq!(Duration::zero().num_nanoseconds(), Some(0));
+        assert_eq!(Duration::nanoseconds(1).num_nanoseconds(), Some(1));
+        assert_eq!(Duration::nanoseconds(-1).num_nanoseconds(), Some(-1));
+        assert_eq!(Duration::nanoseconds(i64::MAX).num_nanoseconds(), Some(i64::MAX));
+        assert_eq!(Duration::nanoseconds(i64::MIN).num_nanoseconds(), Some(i64::MIN));
+        assert_eq!(MAX.num_nanoseconds(), None);
+        assert_eq!(MIN.num_nanoseconds(), None);
+
+        // overflow checks
+        const NANOS_PER_DAY: i64 = 86400_000_000_000;
+        assert_eq!(Duration::days(i64::MAX / NANOS_PER_DAY).num_nanoseconds(),
+                   Some(i64::MAX / NANOS_PER_DAY * NANOS_PER_DAY));
+        assert_eq!(Duration::days(i64::MIN / NANOS_PER_DAY).num_nanoseconds(),
+                   Some(i64::MIN / NANOS_PER_DAY * NANOS_PER_DAY));
+        assert_eq!(Duration::days(i64::MAX / NANOS_PER_DAY + 1).num_nanoseconds(), None);
+        assert_eq!(Duration::days(i64::MIN / NANOS_PER_DAY - 1).num_nanoseconds(), None);
+    }
+
+    #[test]
+    fn test_duration_checked_ops() {
+        assert_eq!(Duration::milliseconds(i64::MAX - 1).checked_add(&Duration::microseconds(999)),
+                   Some(Duration::milliseconds(i64::MAX - 2) + Duration::microseconds(1999)));
+        assert!(Duration::milliseconds(i64::MAX).checked_add(&Duration::microseconds(1000))
+                                                .is_none());
+
+        assert_eq!(Duration::milliseconds(i64::MIN).checked_sub(&Duration::milliseconds(0)),
+                   Some(Duration::milliseconds(i64::MIN)));
+        assert!(Duration::milliseconds(i64::MIN).checked_sub(&Duration::milliseconds(1))
+                                                .is_none());
+    }
+
+    #[test]
+    fn test_duration_mul() {
+        assert_eq!(Duration::zero() * i32::MAX, Duration::zero());
+        assert_eq!(Duration::zero() * i32::MIN, Duration::zero());
+        assert_eq!(Duration::nanoseconds(1) * 0, Duration::zero());
+        assert_eq!(Duration::nanoseconds(1) * 1, Duration::nanoseconds(1));
+        assert_eq!(Duration::nanoseconds(1) * 1_000_000_000, Duration::seconds(1));
+        assert_eq!(Duration::nanoseconds(1) * -1_000_000_000, -Duration::seconds(1));
+        assert_eq!(-Duration::nanoseconds(1) * 1_000_000_000, -Duration::seconds(1));
+        assert_eq!(Duration::nanoseconds(30) * 333_333_333,
+                   Duration::seconds(10) - Duration::nanoseconds(10));
+        assert_eq!((Duration::nanoseconds(1) + Duration::seconds(1) + Duration::days(1)) * 3,
+                   Duration::nanoseconds(3) + Duration::seconds(3) + Duration::days(3));
+        assert_eq!(Duration::milliseconds(1500) * -2, Duration::seconds(-3));
+        assert_eq!(Duration::milliseconds(-1500) * 2, Duration::seconds(-3));
+    }
+
+    #[test]
+    fn test_duration_div() {
+        assert_eq!(Duration::zero() / i32::MAX, Duration::zero());
+        assert_eq!(Duration::zero() / i32::MIN, Duration::zero());
+        assert_eq!(Duration::nanoseconds(123_456_789) / 1, Duration::nanoseconds(123_456_789));
+        assert_eq!(Duration::nanoseconds(123_456_789) / -1, -Duration::nanoseconds(123_456_789));
+        assert_eq!(-Duration::nanoseconds(123_456_789) / -1, Duration::nanoseconds(123_456_789));
+        assert_eq!(-Duration::nanoseconds(123_456_789) / 1, -Duration::nanoseconds(123_456_789));
+        assert_eq!(Duration::seconds(1) / 3, Duration::nanoseconds(333_333_333));
+        assert_eq!(Duration::seconds(4) / 3, Duration::nanoseconds(1_333_333_333));
+        assert_eq!(Duration::seconds(-1) / 2, Duration::milliseconds(-500));
+        assert_eq!(Duration::seconds(1) / -2, Duration::milliseconds(-500));
+        assert_eq!(Duration::seconds(-1) / -2, Duration::milliseconds(500));
+        assert_eq!(Duration::seconds(-4) / 3, Duration::nanoseconds(-1_333_333_333));
+        assert_eq!(Duration::seconds(-4) / -3, Duration::nanoseconds(1_333_333_333));
+    }
+
+    #[test]
+    fn test_duration_fmt() {
+        assert_eq!(Duration::zero().to_string(), "PT0S");
+        assert_eq!(Duration::days(42).to_string(), "P42D");
+        assert_eq!(Duration::days(-42).to_string(), "-P42D");
+        assert_eq!(Duration::seconds(42).to_string(), "PT42S");
+        assert_eq!(Duration::milliseconds(42).to_string(), "PT0.042S");
+        assert_eq!(Duration::microseconds(42).to_string(), "PT0.000042S");
+        assert_eq!(Duration::nanoseconds(42).to_string(), "PT0.000000042S");
+        assert_eq!((Duration::days(7) + Duration::milliseconds(6543)).to_string(),
+                   "P7DT6.543S");
+        assert_eq!(Duration::seconds(-86401).to_string(), "-P1DT1S");
+        assert_eq!(Duration::nanoseconds(-1).to_string(), "-PT0.000000001S");
+
+        // the format specifier should have no effect on `Duration`
+        assert_eq!(format!("{:30}", Duration::days(1) + Duration::milliseconds(2345)),
+                   "P1DT2.345S");
+    }
+
+    #[test]
+    fn test_to_std() {
+        assert_eq!(Duration::seconds(1).to_std(), Ok(StdDuration::new(1, 0)));
+        assert_eq!(Duration::seconds(86401).to_std(), Ok(StdDuration::new(86401, 0)));
+        assert_eq!(Duration::milliseconds(123).to_std(), Ok(StdDuration::new(0, 123000000)));
+        assert_eq!(Duration::milliseconds(123765).to_std(), Ok(StdDuration::new(123, 765000000)));
+        assert_eq!(Duration::nanoseconds(777).to_std(), Ok(StdDuration::new(0, 777)));
+        assert_eq!(MAX.to_std(), Ok(StdDuration::new(9223372036854775, 807000000)));
+        assert_eq!(Duration::seconds(-1).to_std(),
+                   Err(OutOfRangeError(())));
+        assert_eq!(Duration::milliseconds(-1).to_std(),
+                   Err(OutOfRangeError(())));
+    }
+
+    #[test]
+    fn test_from_std() {
+        assert_eq!(Ok(Duration::seconds(1)),
+                   Duration::from_std(StdDuration::new(1, 0)));
+        assert_eq!(Ok(Duration::seconds(86401)),
+                   Duration::from_std(StdDuration::new(86401, 0)));
+        assert_eq!(Ok(Duration::milliseconds(123)),
+                   Duration::from_std(StdDuration::new(0, 123000000)));
+        assert_eq!(Ok(Duration::milliseconds(123765)),
+                   Duration::from_std(StdDuration::new(123, 765000000)));
+        assert_eq!(Ok(Duration::nanoseconds(777)),
+                   Duration::from_std(StdDuration::new(0, 777)));
+        assert_eq!(Ok(MAX),
+                   Duration::from_std(StdDuration::new(9223372036854775, 807000000)));
+        assert_eq!(Duration::from_std(StdDuration::new(9223372036854776, 0)),
+                   Err(OutOfRangeError(())));
+        assert_eq!(Duration::from_std(StdDuration::new(9223372036854775, 807000001)),
+                   Err(OutOfRangeError(())));
+    }
+}