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-// Copyright 2012-2013 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.
-
-//! Defines the `Ord` and `Eq` comparison traits.
-//!
-//! This module defines both `Ord` and `Eq` traits which are used by the
-//! compiler to implement comparison operators. Rust programs may implement
-//!`Ord` to overload the `<`, `<=`, `>`, and `>=` operators, and may implement
-//! `Eq` to overload the `==` and `!=` operators.
-//!
-//! For example, to define a type with a customized definition for the Eq
-//! operators, you could do the following:
-//!
-//! ```rust
-//! // Our type.
-//! struct SketchyNum {
-//!     num : int
-//! }
-//!
-//! // Our implementation of `Eq` to support `==` and `!=`.
-//! impl Eq for SketchyNum {
-//!     // Our custom eq allows numbers which are near each other to be equal! :D
-//!     fn eq(&self, other: &SketchyNum) -> bool {
-//!         (self.num - other.num).abs() < 5
-//!     }
-//! }
-//!
-//! // Now these binary operators will work when applied!
-//! assert!(SketchyNum {num: 37} == SketchyNum {num: 34});
-//! assert!(SketchyNum {num: 25} != SketchyNum {num: 57});
-//! ```
-
-/// Trait for values that can be compared for equality and inequality.
-///
-/// This trait allows partial equality, where types can be unordered instead of
-/// strictly equal or unequal. For example, with the built-in floating-point
-/// types `a == b` and `a != b` will both evaluate to false if either `a` or
-/// `b` is NaN (cf. IEEE 754-2008 section 5.11).
-///
-/// Eq only requires the `eq` method to be implemented; `ne` is its negation by
-/// default.
-///
-/// Eventually, this will be implemented by default for types that implement
-/// `TotalEq`.
-#[lang="eq"]
-pub trait Eq {
-    /// This method tests for `self` and `other` values to be equal, and is used by `==`.
-    fn eq(&self, other: &Self) -> bool;
-
-    /// This method tests for `!=`.
-    #[inline]
-    fn ne(&self, other: &Self) -> bool { !self.eq(other) }
-}
-
-/// Trait for equality comparisons which are [equivalence relations](
-/// https://en.wikipedia.org/wiki/Equivalence_relation).
-///
-/// This means, that in addition to `a == b` and `a != b` being strict
-/// inverses, the equality must be (for all `a`, `b` and `c`):
-///
-/// - reflexive: `a == a`;
-/// - symmetric: `a == b` implies `b == a`; and
-/// - transitive: `a == b` and `b == c` implies `a == c`.
-pub trait TotalEq: Eq {
-    // FIXME #13101: this method is used solely by #[deriving] to
-    // assert that every component of a type implements #[deriving]
-    // itself, the current deriving infrastructure means doing this
-    // assertion without using a method on this trait is nearly
-    // impossible.
-    //
-    // This should never be implemented by hand.
-    #[doc(hidden)]
-    #[inline(always)]
-    fn assert_receiver_is_total_eq(&self) {}
-}
-
-/// A macro which defines an implementation of TotalEq for a given type.
-macro_rules! totaleq_impl(
-    ($t:ty) => {
-        impl TotalEq for $t {}
-    }
-)
-
-totaleq_impl!(bool)
-
-totaleq_impl!(u8)
-totaleq_impl!(u16)
-totaleq_impl!(u32)
-totaleq_impl!(u64)
-
-totaleq_impl!(i8)
-totaleq_impl!(i16)
-totaleq_impl!(i32)
-totaleq_impl!(i64)
-
-totaleq_impl!(int)
-totaleq_impl!(uint)
-
-totaleq_impl!(char)
-
-/// An ordering is, e.g, a result of a comparison between two values.
-#[deriving(Clone, Eq, Show)]
-pub enum Ordering {
-   /// An ordering where a compared value is less [than another].
-   Less = -1,
-   /// An ordering where a compared value is equal [to another].
-   Equal = 0,
-   /// An ordering where a compared value is greater [than another].
-   Greater = 1
-}
-
-/// Trait for types that form a [total order](
-/// https://en.wikipedia.org/wiki/Total_order).
-///
-/// An order is a total order if it is (for all `a`, `b` and `c`):
-///
-/// - total and antisymmetric: exactly one of `a < b`, `a == b` or `a > b` is
-///   true; and
-/// - transitive, `a < b` and `b < c` implies `a < c`. The same must hold for
-///   both `==` and `>`.
-pub trait TotalOrd: TotalEq + Ord {
-    /// This method returns an ordering between `self` and `other` values.
-    ///
-    /// By convention, `self.cmp(&other)` returns the ordering matching
-    /// the expression `self <operator> other` if true.  For example:
-    ///
-    /// ```
-    /// assert_eq!( 5u.cmp(&10), Less);     // because 5 < 10
-    /// assert_eq!(10u.cmp(&5),  Greater);  // because 10 > 5
-    /// assert_eq!( 5u.cmp(&5),  Equal);    // because 5 == 5
-    /// ```
-    fn cmp(&self, other: &Self) -> Ordering;
-}
-
-impl TotalEq for Ordering {}
-impl TotalOrd for Ordering {
-    #[inline]
-    fn cmp(&self, other: &Ordering) -> Ordering {
-        (*self as int).cmp(&(*other as int))
-    }
-}
-
-impl Ord for Ordering {
-    #[inline]
-    fn lt(&self, other: &Ordering) -> bool { (*self as int) < (*other as int) }
-}
-
-/// A macro which defines an implementation of TotalOrd for a given type.
-macro_rules! totalord_impl(
-    ($t:ty) => {
-        impl TotalOrd for $t {
-            #[inline]
-            fn cmp(&self, other: &$t) -> Ordering {
-                if *self < *other { Less }
-                else if *self > *other { Greater }
-                else { Equal }
-            }
-        }
-    }
-)
-
-totalord_impl!(u8)
-totalord_impl!(u16)
-totalord_impl!(u32)
-totalord_impl!(u64)
-
-totalord_impl!(i8)
-totalord_impl!(i16)
-totalord_impl!(i32)
-totalord_impl!(i64)
-
-totalord_impl!(int)
-totalord_impl!(uint)
-
-totalord_impl!(char)
-
-/// Combine orderings, lexically.
-///
-/// For example for a type `(int, int)`, two comparisons could be done.
-/// If the first ordering is different, the first ordering is all that must be returned.
-/// If the first ordering is equal, then second ordering is returned.
-#[inline]
-pub fn lexical_ordering(o1: Ordering, o2: Ordering) -> Ordering {
-    match o1 {
-        Equal => o2,
-        _ => o1
-    }
-}
-
-/// Trait for values that can be compared for a sort-order.
-///
-/// Ord only requires implementation of the `lt` method,
-/// with the others generated from default implementations.
-///
-/// However it remains possible to implement the others separately,
-/// for compatibility with floating-point NaN semantics
-/// (cf. IEEE 754-2008 section 5.11).
-#[lang="ord"]
-pub trait Ord: Eq {
-    /// This method tests less than (for `self` and `other`) and is used by the `<` operator.
-    fn lt(&self, other: &Self) -> bool;
-
-    /// This method tests less than or equal to (`<=`).
-    #[inline]
-    fn le(&self, other: &Self) -> bool { !other.lt(self) }
-
-    /// This method tests greater than (`>`).
-    #[inline]
-    fn gt(&self, other: &Self) -> bool {  other.lt(self) }
-
-    /// This method tests greater than or equal to (`>=`).
-    #[inline]
-    fn ge(&self, other: &Self) -> bool { !self.lt(other) }
-}
-
-/// The equivalence relation. Two values may be equivalent even if they are
-/// of different types. The most common use case for this relation is
-/// container types; e.g. it is often desirable to be able to use `&str`
-/// values to look up entries in a container with `~str` keys.
-pub trait Equiv<T> {
-    /// Implement this function to decide equivalent values.
-    fn equiv(&self, other: &T) -> bool;
-}
-
-/// Compare and return the minimum of two values.
-#[inline]
-pub fn min<T: TotalOrd>(v1: T, v2: T) -> T {
-    if v1 < v2 { v1 } else { v2 }
-}
-
-/// Compare and return the maximum of two values.
-#[inline]
-pub fn max<T: TotalOrd>(v1: T, v2: T) -> T {
-    if v1 > v2 { v1 } else { v2 }
-}
-
-#[cfg(test)]
-mod test {
-    use super::lexical_ordering;
-
-    #[test]
-    fn test_int_totalord() {
-        assert_eq!(5u.cmp(&10), Less);
-        assert_eq!(10u.cmp(&5), Greater);
-        assert_eq!(5u.cmp(&5), Equal);
-        assert_eq!((-5u).cmp(&12), Less);
-        assert_eq!(12u.cmp(-5), Greater);
-    }
-
-    #[test]
-    fn test_ordering_order() {
-        assert!(Less < Equal);
-        assert_eq!(Greater.cmp(&Less), Greater);
-    }
-
-    #[test]
-    fn test_lexical_ordering() {
-        fn t(o1: Ordering, o2: Ordering, e: Ordering) {
-            assert_eq!(lexical_ordering(o1, o2), e);
-        }
-
-        let xs = [Less, Equal, Greater];
-        for &o in xs.iter() {
-            t(Less, o, Less);
-            t(Equal, o, o);
-            t(Greater, o, Greater);
-         }
-    }
-
-    #[test]
-    fn test_user_defined_eq() {
-        // Our type.
-        struct SketchyNum {
-            num : int
-        }
-
-        // Our implementation of `Eq` to support `==` and `!=`.
-        impl Eq for SketchyNum {
-            // Our custom eq allows numbers which are near each other to be equal! :D
-            fn eq(&self, other: &SketchyNum) -> bool {
-                (self.num - other.num).abs() < 5
-            }
-        }
-
-        // Now these binary operators will work when applied!
-        assert!(SketchyNum {num: 37} == SketchyNum {num: 34});
-        assert!(SketchyNum {num: 25} != SketchyNum {num: 57});
-    }
-}