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+// Copyright 2012-2017 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.
+#![stable(feature = "duration_core", since = "1.24.0")]
+
+//! Temporal quantification.
+//!
+//! Example:
+//!
+//! ```
+//! use std::time::Duration;
+//!
+//! let five_seconds = Duration::new(5, 0);
+//! // both declarations are equivalent
+//! assert_eq!(Duration::new(5, 0), Duration::from_secs(5));
+//! ```
+
+use iter::Sum;
+use ops::{Add, Sub, Mul, Div, AddAssign, SubAssign, MulAssign, DivAssign};
+
+const NANOS_PER_SEC: u32 = 1_000_000_000;
+const NANOS_PER_MILLI: u32 = 1_000_000;
+const NANOS_PER_MICRO: u32 = 1_000;
+const MILLIS_PER_SEC: u64 = 1_000;
+const MICROS_PER_SEC: u64 = 1_000_000;
+
+/// A `Duration` type to represent a span of time, typically used for system
+/// timeouts.
+///
+/// Each `Duration` is composed of a whole number of seconds and a fractional part
+/// represented in nanoseconds.  If the underlying system does not support
+/// nanosecond-level precision, APIs binding a system timeout will typically round up
+/// the number of nanoseconds.
+///
+/// `Duration`s implement many common traits, including [`Add`], [`Sub`], and other
+/// [`ops`] traits.
+///
+/// [`Add`]: ../../std/ops/trait.Add.html
+/// [`Sub`]: ../../std/ops/trait.Sub.html
+/// [`ops`]: ../../std/ops/index.html
+///
+/// # Examples
+///
+/// ```
+/// use std::time::Duration;
+///
+/// let five_seconds = Duration::new(5, 0);
+/// let five_seconds_and_five_nanos = five_seconds + Duration::new(0, 5);
+///
+/// assert_eq!(five_seconds_and_five_nanos.as_secs(), 5);
+/// assert_eq!(five_seconds_and_five_nanos.subsec_nanos(), 5);
+///
+/// let ten_millis = Duration::from_millis(10);
+/// ```
+#[stable(feature = "duration_core", since = "1.24.0")]
+#[derive(Clone, Copy, PartialEq, Eq, PartialOrd, Ord, Debug, Hash, Default)]
+pub struct Duration {
+    secs: u64,
+    nanos: u32, // Always 0 <= nanos < NANOS_PER_SEC
+}
+
+impl Duration {
+    /// Creates a new `Duration` from the specified number of whole seconds and
+    /// additional nanoseconds.
+    ///
+    /// If the number of nanoseconds is greater than 1 billion (the number of
+    /// nanoseconds in a second), then it will carry over into the seconds provided.
+    ///
+    /// # Panics
+    ///
+    /// This constructor will panic if the carry from the nanoseconds overflows
+    /// the seconds counter.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// use std::time::Duration;
+    ///
+    /// let five_seconds = Duration::new(5, 0);
+    /// ```
+    #[stable(feature = "duration", since = "1.3.0")]
+    #[inline]
+    pub fn new(secs: u64, nanos: u32) -> Duration {
+        let secs = secs.checked_add((nanos / NANOS_PER_SEC) as u64)
+            .expect("overflow in Duration::new");
+        let nanos = nanos % NANOS_PER_SEC;
+        Duration { secs: secs, nanos: nanos }
+    }
+
+    /// Creates a new `Duration` from the specified number of whole seconds.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// use std::time::Duration;
+    ///
+    /// let duration = Duration::from_secs(5);
+    ///
+    /// assert_eq!(5, duration.as_secs());
+    /// assert_eq!(0, duration.subsec_nanos());
+    /// ```
+    #[stable(feature = "duration", since = "1.3.0")]
+    #[inline]
+    pub const fn from_secs(secs: u64) -> Duration {
+        Duration { secs: secs, nanos: 0 }
+    }
+
+    /// Creates a new `Duration` from the specified number of milliseconds.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// use std::time::Duration;
+    ///
+    /// let duration = Duration::from_millis(2569);
+    ///
+    /// assert_eq!(2, duration.as_secs());
+    /// assert_eq!(569_000_000, duration.subsec_nanos());
+    /// ```
+    #[stable(feature = "duration", since = "1.3.0")]
+    #[inline]
+    pub const fn from_millis(millis: u64) -> Duration {
+        Duration {
+            secs: millis / MILLIS_PER_SEC,
+            nanos: ((millis % MILLIS_PER_SEC) as u32) * NANOS_PER_MILLI,
+        }
+    }
+
+    /// Creates a new `Duration` from the specified number of microseconds.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// #![feature(duration_from_micros)]
+    /// use std::time::Duration;
+    ///
+    /// let duration = Duration::from_micros(1_000_002);
+    ///
+    /// assert_eq!(1, duration.as_secs());
+    /// assert_eq!(2000, duration.subsec_nanos());
+    /// ```
+    #[unstable(feature = "duration_from_micros", issue = "44400")]
+    #[inline]
+    pub const fn from_micros(micros: u64) -> Duration {
+        Duration {
+            secs: micros / MICROS_PER_SEC,
+            nanos: ((micros % MICROS_PER_SEC) as u32) * NANOS_PER_MICRO,
+        }
+    }
+
+    /// Creates a new `Duration` from the specified number of nanoseconds.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// #![feature(duration_extras)]
+    /// use std::time::Duration;
+    ///
+    /// let duration = Duration::from_nanos(1_000_000_123);
+    ///
+    /// assert_eq!(1, duration.as_secs());
+    /// assert_eq!(123, duration.subsec_nanos());
+    /// ```
+    #[unstable(feature = "duration_extras", issue = "46507")]
+    #[inline]
+    pub const fn from_nanos(nanos: u64) -> Duration {
+        Duration {
+            secs: nanos / (NANOS_PER_SEC as u64),
+            nanos: (nanos % (NANOS_PER_SEC as u64)) as u32,
+        }
+    }
+
+    /// Returns the number of _whole_ seconds contained by this `Duration`.
+    ///
+    /// The returned value does not include the fractional (nanosecond) part of the
+    /// duration, which can be obtained using [`subsec_nanos`].
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// use std::time::Duration;
+    ///
+    /// let duration = Duration::new(5, 730023852);
+    /// assert_eq!(duration.as_secs(), 5);
+    /// ```
+    ///
+    /// To determine the total number of seconds represented by the `Duration`,
+    /// use `as_secs` in combination with [`subsec_nanos`]:
+    ///
+    /// ```
+    /// use std::time::Duration;
+    ///
+    /// let duration = Duration::new(5, 730023852);
+    ///
+    /// assert_eq!(5.730023852,
+    ///            duration.as_secs() as f64
+    ///            + duration.subsec_nanos() as f64 * 1e-9);
+    /// ```
+    ///
+    /// [`subsec_nanos`]: #method.subsec_nanos
+    #[stable(feature = "duration", since = "1.3.0")]
+    #[inline]
+    pub fn as_secs(&self) -> u64 { self.secs }
+
+    /// Returns the fractional part of this `Duration`, in milliseconds.
+    ///
+    /// This method does **not** return the length of the duration when
+    /// represented by milliseconds. The returned number always represents a
+    /// fractional portion of a second (i.e. it is less than one thousand).
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// #![feature(duration_extras)]
+    /// use std::time::Duration;
+    ///
+    /// let duration = Duration::from_millis(5432);
+    /// assert_eq!(duration.as_secs(), 5);
+    /// assert_eq!(duration.subsec_millis(), 432);
+    /// ```
+    #[unstable(feature = "duration_extras", issue = "46507")]
+    #[inline]
+    pub fn subsec_millis(&self) -> u32 { self.nanos / NANOS_PER_MILLI }
+
+    /// Returns the fractional part of this `Duration`, in microseconds.
+    ///
+    /// This method does **not** return the length of the duration when
+    /// represented by microseconds. The returned number always represents a
+    /// fractional portion of a second (i.e. it is less than one million).
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// #![feature(duration_extras, duration_from_micros)]
+    /// use std::time::Duration;
+    ///
+    /// let duration = Duration::from_micros(1_234_567);
+    /// assert_eq!(duration.as_secs(), 1);
+    /// assert_eq!(duration.subsec_micros(), 234_567);
+    /// ```
+    #[unstable(feature = "duration_extras", issue = "46507")]
+    #[inline]
+    pub fn subsec_micros(&self) -> u32 { self.nanos / NANOS_PER_MICRO }
+
+    /// Returns the fractional part of this `Duration`, in nanoseconds.
+    ///
+    /// This method does **not** return the length of the duration when
+    /// represented by nanoseconds. The returned number always represents a
+    /// fractional portion of a second (i.e. it is less than one billion).
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// use std::time::Duration;
+    ///
+    /// let duration = Duration::from_millis(5010);
+    /// assert_eq!(duration.as_secs(), 5);
+    /// assert_eq!(duration.subsec_nanos(), 10_000_000);
+    /// ```
+    #[stable(feature = "duration", since = "1.3.0")]
+    #[inline]
+    pub fn subsec_nanos(&self) -> u32 { self.nanos }
+
+    /// Checked `Duration` addition. Computes `self + other`, returning [`None`]
+    /// if overflow occurred.
+    ///
+    /// [`None`]: ../../std/option/enum.Option.html#variant.None
+    ///
+    /// # Examples
+    ///
+    /// Basic usage:
+    ///
+    /// ```
+    /// use std::time::Duration;
+    ///
+    /// assert_eq!(Duration::new(0, 0).checked_add(Duration::new(0, 1)), Some(Duration::new(0, 1)));
+    /// assert_eq!(Duration::new(1, 0).checked_add(Duration::new(std::u64::MAX, 0)), None);
+    /// ```
+    #[stable(feature = "duration_checked_ops", since = "1.16.0")]
+    #[inline]
+    pub fn checked_add(self, rhs: Duration) -> Option<Duration> {
+        if let Some(mut secs) = self.secs.checked_add(rhs.secs) {
+            let mut nanos = self.nanos + rhs.nanos;
+            if nanos >= NANOS_PER_SEC {
+                nanos -= NANOS_PER_SEC;
+                if let Some(new_secs) = secs.checked_add(1) {
+                    secs = new_secs;
+                } else {
+                    return None;
+                }
+            }
+            debug_assert!(nanos < NANOS_PER_SEC);
+            Some(Duration {
+                secs,
+                nanos,
+            })
+        } else {
+            None
+        }
+    }
+
+    /// Checked `Duration` subtraction. Computes `self - other`, returning [`None`]
+    /// if the result would be negative or if overflow occurred.
+    ///
+    /// [`None`]: ../../std/option/enum.Option.html#variant.None
+    ///
+    /// # Examples
+    ///
+    /// Basic usage:
+    ///
+    /// ```
+    /// use std::time::Duration;
+    ///
+    /// assert_eq!(Duration::new(0, 1).checked_sub(Duration::new(0, 0)), Some(Duration::new(0, 1)));
+    /// assert_eq!(Duration::new(0, 0).checked_sub(Duration::new(0, 1)), None);
+    /// ```
+    #[stable(feature = "duration_checked_ops", since = "1.16.0")]
+    #[inline]
+    pub fn checked_sub(self, rhs: Duration) -> Option<Duration> {
+        if let Some(mut secs) = self.secs.checked_sub(rhs.secs) {
+            let nanos = if self.nanos >= rhs.nanos {
+                self.nanos - rhs.nanos
+            } else {
+                if let Some(sub_secs) = secs.checked_sub(1) {
+                    secs = sub_secs;
+                    self.nanos + NANOS_PER_SEC - rhs.nanos
+                } else {
+                    return None;
+                }
+            };
+            debug_assert!(nanos < NANOS_PER_SEC);
+            Some(Duration { secs: secs, nanos: nanos })
+        } else {
+            None
+        }
+    }
+
+    /// Checked `Duration` multiplication. Computes `self * other`, returning
+    /// [`None`] if overflow occurred.
+    ///
+    /// [`None`]: ../../std/option/enum.Option.html#variant.None
+    ///
+    /// # Examples
+    ///
+    /// Basic usage:
+    ///
+    /// ```
+    /// use std::time::Duration;
+    ///
+    /// assert_eq!(Duration::new(0, 500_000_001).checked_mul(2), Some(Duration::new(1, 2)));
+    /// assert_eq!(Duration::new(std::u64::MAX - 1, 0).checked_mul(2), None);
+    /// ```
+    #[stable(feature = "duration_checked_ops", since = "1.16.0")]
+    #[inline]
+    pub fn checked_mul(self, rhs: u32) -> Option<Duration> {
+        // Multiply nanoseconds as u64, because it cannot overflow that way.
+        let total_nanos = self.nanos as u64 * rhs as u64;
+        let extra_secs = total_nanos / (NANOS_PER_SEC as u64);
+        let nanos = (total_nanos % (NANOS_PER_SEC as u64)) as u32;
+        if let Some(secs) = self.secs
+            .checked_mul(rhs as u64)
+            .and_then(|s| s.checked_add(extra_secs)) {
+            debug_assert!(nanos < NANOS_PER_SEC);
+            Some(Duration {
+                secs,
+                nanos,
+            })
+        } else {
+            None
+        }
+    }
+
+    /// Checked `Duration` division. Computes `self / other`, returning [`None`]
+    /// if `other == 0`.
+    ///
+    /// [`None`]: ../../std/option/enum.Option.html#variant.None
+    ///
+    /// # Examples
+    ///
+    /// Basic usage:
+    ///
+    /// ```
+    /// use std::time::Duration;
+    ///
+    /// assert_eq!(Duration::new(2, 0).checked_div(2), Some(Duration::new(1, 0)));
+    /// assert_eq!(Duration::new(1, 0).checked_div(2), Some(Duration::new(0, 500_000_000)));
+    /// assert_eq!(Duration::new(2, 0).checked_div(0), None);
+    /// ```
+    #[stable(feature = "duration_checked_ops", since = "1.16.0")]
+    #[inline]
+    pub fn checked_div(self, rhs: u32) -> Option<Duration> {
+        if rhs != 0 {
+            let secs = self.secs / (rhs as u64);
+            let carry = self.secs - secs * (rhs as u64);
+            let extra_nanos = carry * (NANOS_PER_SEC as u64) / (rhs as u64);
+            let nanos = self.nanos / rhs + (extra_nanos as u32);
+            debug_assert!(nanos < NANOS_PER_SEC);
+            Some(Duration { secs: secs, nanos: nanos })
+        } else {
+            None
+        }
+    }
+}
+
+#[stable(feature = "duration", since = "1.3.0")]
+impl Add for Duration {
+    type Output = Duration;
+
+    fn add(self, rhs: Duration) -> Duration {
+        self.checked_add(rhs).expect("overflow when adding durations")
+    }
+}
+
+#[stable(feature = "time_augmented_assignment", since = "1.9.0")]
+impl AddAssign for Duration {
+    fn add_assign(&mut self, rhs: Duration) {
+        *self = *self + rhs;
+    }
+}
+
+#[stable(feature = "duration", since = "1.3.0")]
+impl Sub for Duration {
+    type Output = Duration;
+
+    fn sub(self, rhs: Duration) -> Duration {
+        self.checked_sub(rhs).expect("overflow when subtracting durations")
+    }
+}
+
+#[stable(feature = "time_augmented_assignment", since = "1.9.0")]
+impl SubAssign for Duration {
+    fn sub_assign(&mut self, rhs: Duration) {
+        *self = *self - rhs;
+    }
+}
+
+#[stable(feature = "duration", since = "1.3.0")]
+impl Mul<u32> for Duration {
+    type Output = Duration;
+
+    fn mul(self, rhs: u32) -> Duration {
+        self.checked_mul(rhs).expect("overflow when multiplying duration by scalar")
+    }
+}
+
+#[stable(feature = "time_augmented_assignment", since = "1.9.0")]
+impl MulAssign<u32> for Duration {
+    fn mul_assign(&mut self, rhs: u32) {
+        *self = *self * rhs;
+    }
+}
+
+#[stable(feature = "duration", since = "1.3.0")]
+impl Div<u32> for Duration {
+    type Output = Duration;
+
+    fn div(self, rhs: u32) -> Duration {
+        self.checked_div(rhs).expect("divide by zero error when dividing duration by scalar")
+    }
+}
+
+#[stable(feature = "time_augmented_assignment", since = "1.9.0")]
+impl DivAssign<u32> for Duration {
+    fn div_assign(&mut self, rhs: u32) {
+        *self = *self / rhs;
+    }
+}
+
+#[stable(feature = "duration_sum", since = "1.16.0")]
+impl Sum for Duration {
+    fn sum<I: Iterator<Item=Duration>>(iter: I) -> Duration {
+        iter.fold(Duration::new(0, 0), |a, b| a + b)
+    }
+}
+
+#[stable(feature = "duration_sum", since = "1.16.0")]
+impl<'a> Sum<&'a Duration> for Duration {
+    fn sum<I: Iterator<Item=&'a Duration>>(iter: I) -> Duration {
+        iter.fold(Duration::new(0, 0), |a, b| a + *b)
+    }
+}
+
+#[cfg(test)]
+mod tests {
+    use super::Duration;
+
+    #[test]
+    fn creation() {
+        assert!(Duration::from_secs(1) != Duration::from_secs(0));
+        assert_eq!(Duration::from_secs(1) + Duration::from_secs(2),
+                   Duration::from_secs(3));
+        assert_eq!(Duration::from_millis(10) + Duration::from_secs(4),
+                   Duration::new(4, 10 * 1_000_000));
+        assert_eq!(Duration::from_millis(4000), Duration::new(4, 0));
+    }
+
+    #[test]
+    fn secs() {
+        assert_eq!(Duration::new(0, 0).as_secs(), 0);
+        assert_eq!(Duration::from_secs(1).as_secs(), 1);
+        assert_eq!(Duration::from_millis(999).as_secs(), 0);
+        assert_eq!(Duration::from_millis(1001).as_secs(), 1);
+    }
+
+    #[test]
+    fn nanos() {
+        assert_eq!(Duration::new(0, 0).subsec_nanos(), 0);
+        assert_eq!(Duration::new(0, 5).subsec_nanos(), 5);
+        assert_eq!(Duration::new(0, 1_000_000_001).subsec_nanos(), 1);
+        assert_eq!(Duration::from_secs(1).subsec_nanos(), 0);
+        assert_eq!(Duration::from_millis(999).subsec_nanos(), 999 * 1_000_000);
+        assert_eq!(Duration::from_millis(1001).subsec_nanos(), 1 * 1_000_000);
+    }
+
+    #[test]
+    fn add() {
+        assert_eq!(Duration::new(0, 0) + Duration::new(0, 1),
+                   Duration::new(0, 1));
+        assert_eq!(Duration::new(0, 500_000_000) + Duration::new(0, 500_000_001),
+                   Duration::new(1, 1));
+    }
+
+    #[test]
+    fn checked_add() {
+        assert_eq!(Duration::new(0, 0).checked_add(Duration::new(0, 1)),
+                   Some(Duration::new(0, 1)));
+        assert_eq!(Duration::new(0, 500_000_000).checked_add(Duration::new(0, 500_000_001)),
+                   Some(Duration::new(1, 1)));
+        assert_eq!(Duration::new(1, 0).checked_add(Duration::new(::u64::MAX, 0)), None);
+    }
+
+    #[test]
+    fn sub() {
+        assert_eq!(Duration::new(0, 1) - Duration::new(0, 0),
+                   Duration::new(0, 1));
+        assert_eq!(Duration::new(0, 500_000_001) - Duration::new(0, 500_000_000),
+                   Duration::new(0, 1));
+        assert_eq!(Duration::new(1, 0) - Duration::new(0, 1),
+                   Duration::new(0, 999_999_999));
+    }
+
+    #[test]
+    fn checked_sub() {
+        let zero = Duration::new(0, 0);
+        let one_nano = Duration::new(0, 1);
+        let one_sec = Duration::new(1, 0);
+        assert_eq!(one_nano.checked_sub(zero), Some(Duration::new(0, 1)));
+        assert_eq!(one_sec.checked_sub(one_nano),
+                   Some(Duration::new(0, 999_999_999)));
+        assert_eq!(zero.checked_sub(one_nano), None);
+        assert_eq!(zero.checked_sub(one_sec), None);
+    }
+
+    #[test] #[should_panic]
+    fn sub_bad1() {
+        Duration::new(0, 0) - Duration::new(0, 1);
+    }
+
+    #[test] #[should_panic]
+    fn sub_bad2() {
+        Duration::new(0, 0) - Duration::new(1, 0);
+    }
+
+    #[test]
+    fn mul() {
+        assert_eq!(Duration::new(0, 1) * 2, Duration::new(0, 2));
+        assert_eq!(Duration::new(1, 1) * 3, Duration::new(3, 3));
+        assert_eq!(Duration::new(0, 500_000_001) * 4, Duration::new(2, 4));
+        assert_eq!(Duration::new(0, 500_000_001) * 4000,
+                   Duration::new(2000, 4000));
+    }
+
+    #[test]
+    fn checked_mul() {
+        assert_eq!(Duration::new(0, 1).checked_mul(2), Some(Duration::new(0, 2)));
+        assert_eq!(Duration::new(1, 1).checked_mul(3), Some(Duration::new(3, 3)));
+        assert_eq!(Duration::new(0, 500_000_001).checked_mul(4), Some(Duration::new(2, 4)));
+        assert_eq!(Duration::new(0, 500_000_001).checked_mul(4000),
+                   Some(Duration::new(2000, 4000)));
+        assert_eq!(Duration::new(::u64::MAX - 1, 0).checked_mul(2), None);
+    }
+
+    #[test]
+    fn div() {
+        assert_eq!(Duration::new(0, 1) / 2, Duration::new(0, 0));
+        assert_eq!(Duration::new(1, 1) / 3, Duration::new(0, 333_333_333));
+        assert_eq!(Duration::new(99, 999_999_000) / 100,
+                   Duration::new(0, 999_999_990));
+    }
+
+    #[test]
+    fn checked_div() {
+        assert_eq!(Duration::new(2, 0).checked_div(2), Some(Duration::new(1, 0)));
+        assert_eq!(Duration::new(1, 0).checked_div(2), Some(Duration::new(0, 500_000_000)));
+        assert_eq!(Duration::new(2, 0).checked_div(0), None);
+    }
+}