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// 这几乎完全是从 TreeSet 偷来的,因为 BTreeMap 具有与 TreeMap 相同的接口
//

use crate::vec::Vec;
use core::borrow::Borrow;
use core::cmp::Ordering::{Equal, Greater, Less};
use core::cmp::{max, min};
use core::fmt::{self, Debug};
use core::iter::{FromIterator, FusedIterator, Peekable};
use core::ops::{BitAnd, BitOr, BitXor, RangeBounds, Sub};

use super::map::{BTreeMap, Keys};
use super::merge_iter::MergeIterInner;
use super::Recover;

// FIXME(conventions): 实现有界迭代器

/// 基于 B 树的集合。
///
/// 有关此集合的性能优缺点的详细讨论,请参见 [`BTreeMap`] 文档。
///
/// 以某种方式修改项目是一种逻辑错误,即该项目相对于任何其他项目的排序 (由 [`Ord`] trait 确定) 会在其位于集合中时发生变化。
/// 通常只有通过 [`Cell`],[`RefCell`],二进制状态,I/O 或不安全代码才能实现此操作。
/// 没有指定由此类逻辑错误导致的行为 (可能包括 panics、不正确的结果、中止、内存泄漏或未终止),但不会是未定义的行为。
///
///
/// [`Ord`]: core::cmp::Ord
/// [`Cell`]: core::cell::Cell
/// [`RefCell`]: core::cell::RefCell
///
/// # Examples
///
/// ```
/// use std::collections::BTreeSet;
///
/// // 通过类型推断,我们可以省略显式类型签名 (在本示例中为 `BTreeSet<&str>`)。
/////
/// let mut books = BTreeSet::new();
///
/// // 添加一些书。
/// books.insert("A Dance With Dragons");
/// books.insert("To Kill a Mockingbird");
/// books.insert("The Odyssey");
/// books.insert("The Great Gatsby");
///
/// // 检查一个特定的。
/// if !books.contains("The Winds of Winter") {
///     println!("We have {} books, but The Winds of Winter ain't one.",
///              books.len());
/// }
///
/// // 删除一本书。
/// books.remove("The Odyssey");
///
/// // 遍历所有内容。
/// for book in &books {
///     println!("{}", book);
/// }
/// ```
///
/// 可以从数组初始化具有已知项列表的 `BTreeSet`:
///
/// ```
/// use std::collections::BTreeSet;
///
/// let set = BTreeSet::from([1, 2, 3]);
/// ```
///
///
///
#[derive(Hash, PartialEq, Eq, Ord, PartialOrd)]
#[stable(feature = "rust1", since = "1.0.0")]
#[cfg_attr(not(test), rustc_diagnostic_item = "BTreeSet")]
pub struct BTreeSet<T> {
    map: BTreeMap<T, ()>,
}

#[stable(feature = "rust1", since = "1.0.0")]
impl<T: Clone> Clone for BTreeSet<T> {
    fn clone(&self) -> Self {
        BTreeSet { map: self.map.clone() }
    }

    fn clone_from(&mut self, other: &Self) {
        self.map.clone_from(&other.map);
    }
}

/// `BTreeSet` 项上的迭代器。
///
/// 该 `struct` 是通过 [`BTreeSet`] 上的 [`iter`] 方法创建的。
/// 有关更多信息,请参见其文档。
///
/// [`iter`]: BTreeSet::iter
#[must_use = "iterators are lazy and do nothing unless consumed"]
#[stable(feature = "rust1", since = "1.0.0")]
pub struct Iter<'a, T: 'a> {
    iter: Keys<'a, T, ()>,
}

#[stable(feature = "collection_debug", since = "1.17.0")]
impl<T: fmt::Debug> fmt::Debug for Iter<'_, T> {
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
        f.debug_tuple("Iter").field(&self.iter.clone()).finish()
    }
}

/// `BTreeSet` 项上的所属迭代器。
///
/// 这个 `struct` 是通过 [`BTreeSet`] 上的 [`into_iter`] 方法创建的 (由 [`IntoIterator`] trait 提供)。
/// 有关更多信息,请参见其文档。
///
/// [`into_iter`]: BTreeSet#method.into_iter
/// [`IntoIterator`]: core::iter::IntoIterator
#[stable(feature = "rust1", since = "1.0.0")]
#[derive(Debug)]
pub struct IntoIter<T> {
    iter: super::map::IntoIter<T, ()>,
}

/// `BTreeSet` 中项的子范围上的迭代器。
///
/// 该 `struct` 是通过 [`BTreeSet`] 上的 [`range`] 方法创建的。
/// 有关更多信息,请参见其文档。
///
/// [`range`]: BTreeSet::range
#[must_use = "iterators are lazy and do nothing unless consumed"]
#[derive(Debug)]
#[stable(feature = "btree_range", since = "1.17.0")]
pub struct Range<'a, T: 'a> {
    iter: super::map::Range<'a, T, ()>,
}

/// 一个惰性迭代器,它产生与 BTreeSet 不同的元素。
///
/// 该 `struct` 是通过 [`BTreeSet`] 上的 [`difference`] 方法创建的。
/// 有关更多信息,请参见其文档。
///
/// [`difference`]: BTreeSet::difference
#[must_use = "this returns the difference as an iterator, \
              without modifying either input set"]
#[stable(feature = "rust1", since = "1.0.0")]
pub struct Difference<'a, T: 'a> {
    inner: DifferenceInner<'a, T>,
}
#[derive(Debug)]
enum DifferenceInner<'a, T: 'a> {
    Stitch {
        // 迭代所有 `self` 和某些 `other`,一路发现匹配项
        self_iter: Iter<'a, T>,
        other_iter: Peekable<Iter<'a, T>>,
    },
    Search {
        // 迭代 `self`,在 `other` 中查找
        self_iter: Iter<'a, T>,
        other_set: &'a BTreeSet<T>,
    },
    Iterate(Iter<'a, T>), // simply produce all values in `self`
}

#[stable(feature = "collection_debug", since = "1.17.0")]
impl<T: fmt::Debug> fmt::Debug for Difference<'_, T> {
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
        f.debug_tuple("Difference").field(&self.inner).finish()
    }
}

/// 一个惰性迭代器,它会产生对称差异为 `BTreeSet` 的元素。
///
/// 该 `struct` 是通过 [`BTreeSet`] 上的 [`symmetric_difference`] 方法创建的。
/// 有关更多信息,请参见其文档。
///
/// [`symmetric_difference`]: BTreeSet::symmetric_difference
#[must_use = "this returns the difference as an iterator, \
              without modifying either input set"]
#[stable(feature = "rust1", since = "1.0.0")]
pub struct SymmetricDifference<'a, T: 'a>(MergeIterInner<Iter<'a, T>>);

#[stable(feature = "collection_debug", since = "1.17.0")]
impl<T: fmt::Debug> fmt::Debug for SymmetricDifference<'_, T> {
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
        f.debug_tuple("SymmetricDifference").field(&self.0).finish()
    }
}

/// 一个惰性迭代器,它在 BTreeSet 的交集中生成元素。
///
/// 该 `struct` 是通过 [`BTreeSet`] 上的 [`intersection`] 方法创建的。
/// 有关更多信息,请参见其文档。
///
/// [`intersection`]: BTreeSet::intersection
#[must_use = "this returns the intersection as an iterator, \
              without modifying either input set"]
#[stable(feature = "rust1", since = "1.0.0")]
pub struct Intersection<'a, T: 'a> {
    inner: IntersectionInner<'a, T>,
}
#[derive(Debug)]
enum IntersectionInner<'a, T: 'a> {
    Stitch {
        // 共同迭代大小相似的集合,并沿途发现匹配项
        a: Iter<'a, T>,
        b: Iter<'a, T>,
    },
    Search {
        // 迭代一个小集合,在大集合中查找
        small_iter: Iter<'a, T>,
        large_set: &'a BTreeSet<T>,
    },
    Answer(Option<&'a T>), // return a specific value or emptiness
}

#[stable(feature = "collection_debug", since = "1.17.0")]
impl<T: fmt::Debug> fmt::Debug for Intersection<'_, T> {
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
        f.debug_tuple("Intersection").field(&self.inner).finish()
    }
}

/// 一个惰性迭代器,在 `BTreeSet` 的并集中的元素。
///
/// 该 `struct` 是通过 [`BTreeSet`] 上的 [`union`] 方法创建的。
/// 有关更多信息,请参见其文档。
///
/// [`union`]: BTreeSet::union
#[must_use = "this returns the union as an iterator, \
              without modifying either input set"]
#[stable(feature = "rust1", since = "1.0.0")]
pub struct Union<'a, T: 'a>(MergeIterInner<Iter<'a, T>>);

#[stable(feature = "collection_debug", since = "1.17.0")]
impl<T: fmt::Debug> fmt::Debug for Union<'_, T> {
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
        f.debug_tuple("Union").field(&self.0).finish()
    }
}

// 该常量由比较两个集合的函数使用。
// 根据 https://github.com/ssomers/rust_bench_btreeset_intersection 中的基准,它估计搜索执行优于迭代的相对大小。
//
// 它用于除法而不是乘以大小,以排除溢出,并且乘以 2 的幂可以使该除法便宜。
//
//
const ITER_PERFORMANCE_TIPPING_SIZE_DIFF: usize = 16;

impl<T> BTreeSet<T> {
    /// 制作一个新的空 `BTreeSet`。
    ///
    /// 不会自行分配任何内容。
    ///
    /// # Examples
    ///
    /// ```
    /// # #![allow(unused_mut)]
    /// use std::collections::BTreeSet;
    ///
    /// let mut set: BTreeSet<i32> = BTreeSet::new();
    /// ```
    #[stable(feature = "rust1", since = "1.0.0")]
    #[rustc_const_unstable(feature = "const_btree_new", issue = "71835")]
    #[must_use]
    pub const fn new() -> BTreeSet<T> {
        BTreeSet { map: BTreeMap::new() }
    }

    /// 在集合中元素的子范围上创建一个双端迭代器。
    /// 最简单的方法是使用范围语法 `min..max`,因此 `range(min..max)` 将产生从最小 (inclusive) 到最大 (exclusive) 的元素。
    /// 也可以将范围输入为 `(Bound<T>, Bound<T>)`,例如 `range((Excluded(4), Included(10)))` 将产生一个左排他的,范围从 4 到 10。
    ///
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::BTreeSet;
    /// use std::ops::Bound::Included;
    ///
    /// let mut set = BTreeSet::new();
    /// set.insert(3);
    /// set.insert(5);
    /// set.insert(8);
    /// for &elem in set.range((Included(&4), Included(&8))) {
    ///     println!("{}", elem);
    /// }
    /// assert_eq!(Some(&5), set.range(4..).next());
    /// ```
    ///
    ///
    #[stable(feature = "btree_range", since = "1.17.0")]
    pub fn range<K: ?Sized, R>(&self, range: R) -> Range<'_, T>
    where
        K: Ord,
        T: Borrow<K> + Ord,
        R: RangeBounds<K>,
    {
        Range { iter: self.map.range(range) }
    }

    /// 按升序访问表示差异的值,即在 `self` 中但不在 `other` 中的值。
    ///
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::BTreeSet;
    ///
    /// let mut a = BTreeSet::new();
    /// a.insert(1);
    /// a.insert(2);
    ///
    /// let mut b = BTreeSet::new();
    /// b.insert(2);
    /// b.insert(3);
    ///
    /// let diff: Vec<_> = a.difference(&b).cloned().collect();
    /// assert_eq!(diff, [1]);
    /// ```
    ///
    #[stable(feature = "rust1", since = "1.0.0")]
    pub fn difference<'a>(&'a self, other: &'a BTreeSet<T>) -> Difference<'a, T>
    where
        T: Ord,
    {
        let (self_min, self_max) =
            if let (Some(self_min), Some(self_max)) = (self.first(), self.last()) {
                (self_min, self_max)
            } else {
                return Difference { inner: DifferenceInner::Iterate(self.iter()) };
            };
        let (other_min, other_max) =
            if let (Some(other_min), Some(other_max)) = (other.first(), other.last()) {
                (other_min, other_max)
            } else {
                return Difference { inner: DifferenceInner::Iterate(self.iter()) };
            };
        Difference {
            inner: match (self_min.cmp(other_max), self_max.cmp(other_min)) {
                (Greater, _) | (_, Less) => DifferenceInner::Iterate(self.iter()),
                (Equal, _) => {
                    let mut self_iter = self.iter();
                    self_iter.next();
                    DifferenceInner::Iterate(self_iter)
                }
                (_, Equal) => {
                    let mut self_iter = self.iter();
                    self_iter.next_back();
                    DifferenceInner::Iterate(self_iter)
                }
                _ if self.len() <= other.len() / ITER_PERFORMANCE_TIPPING_SIZE_DIFF => {
                    DifferenceInner::Search { self_iter: self.iter(), other_set: other }
                }
                _ => DifferenceInner::Stitch {
                    self_iter: self.iter(),
                    other_iter: other.iter().peekable(),
                },
            },
        }
    }

    /// 按升序访问表示对称差异的值,即在 `self` 或 `other` 中但不在两者中的值。
    ///
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::BTreeSet;
    ///
    /// let mut a = BTreeSet::new();
    /// a.insert(1);
    /// a.insert(2);
    ///
    /// let mut b = BTreeSet::new();
    /// b.insert(2);
    /// b.insert(3);
    ///
    /// let sym_diff: Vec<_> = a.symmetric_difference(&b).cloned().collect();
    /// assert_eq!(sym_diff, [1, 3]);
    /// ```
    ///
    #[stable(feature = "rust1", since = "1.0.0")]
    pub fn symmetric_difference<'a>(&'a self, other: &'a BTreeSet<T>) -> SymmetricDifference<'a, T>
    where
        T: Ord,
    {
        SymmetricDifference(MergeIterInner::new(self.iter(), other.iter()))
    }

    /// 按升序访问表示交集的值,即 `self` 和 `other` 中的值。
    ///
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::BTreeSet;
    ///
    /// let mut a = BTreeSet::new();
    /// a.insert(1);
    /// a.insert(2);
    ///
    /// let mut b = BTreeSet::new();
    /// b.insert(2);
    /// b.insert(3);
    ///
    /// let intersection: Vec<_> = a.intersection(&b).cloned().collect();
    /// assert_eq!(intersection, [2]);
    /// ```
    ///
    #[stable(feature = "rust1", since = "1.0.0")]
    pub fn intersection<'a>(&'a self, other: &'a BTreeSet<T>) -> Intersection<'a, T>
    where
        T: Ord,
    {
        let (self_min, self_max) =
            if let (Some(self_min), Some(self_max)) = (self.first(), self.last()) {
                (self_min, self_max)
            } else {
                return Intersection { inner: IntersectionInner::Answer(None) };
            };
        let (other_min, other_max) =
            if let (Some(other_min), Some(other_max)) = (other.first(), other.last()) {
                (other_min, other_max)
            } else {
                return Intersection { inner: IntersectionInner::Answer(None) };
            };
        Intersection {
            inner: match (self_min.cmp(other_max), self_max.cmp(other_min)) {
                (Greater, _) | (_, Less) => IntersectionInner::Answer(None),
                (Equal, _) => IntersectionInner::Answer(Some(self_min)),
                (_, Equal) => IntersectionInner::Answer(Some(self_max)),
                _ if self.len() <= other.len() / ITER_PERFORMANCE_TIPPING_SIZE_DIFF => {
                    IntersectionInner::Search { small_iter: self.iter(), large_set: other }
                }
                _ if other.len() <= self.len() / ITER_PERFORMANCE_TIPPING_SIZE_DIFF => {
                    IntersectionInner::Search { small_iter: other.iter(), large_set: self }
                }
                _ => IntersectionInner::Stitch { a: self.iter(), b: other.iter() },
            },
        }
    }

    /// 访问代表联合的值,即 `self` 或 `other` 中的所有值,没有重复项,按升序排列。
    ///
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::BTreeSet;
    ///
    /// let mut a = BTreeSet::new();
    /// a.insert(1);
    ///
    /// let mut b = BTreeSet::new();
    /// b.insert(2);
    ///
    /// let union: Vec<_> = a.union(&b).cloned().collect();
    /// assert_eq!(union, [1, 2]);
    /// ```
    ///
    #[stable(feature = "rust1", since = "1.0.0")]
    pub fn union<'a>(&'a self, other: &'a BTreeSet<T>) -> Union<'a, T>
    where
        T: Ord,
    {
        Union(MergeIterInner::new(self.iter(), other.iter()))
    }

    /// 清除设置,删除所有值。
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::BTreeSet;
    ///
    /// let mut v = BTreeSet::new();
    /// v.insert(1);
    /// v.clear();
    /// assert!(v.is_empty());
    /// ```
    #[stable(feature = "rust1", since = "1.0.0")]
    pub fn clear(&mut self) {
        self.map.clear()
    }

    /// 如果集合包含值,则返回 `true`。
    ///
    /// 值可以是集合值类型的任何借用形式,但是借用形式上的顺序必须与值类型上的顺序相匹配
    ///
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::BTreeSet;
    ///
    /// let set: BTreeSet<_> = [1, 2, 3].iter().cloned().collect();
    /// assert_eq!(set.contains(&1), true);
    /// assert_eq!(set.contains(&4), false);
    /// ```
    ///
    #[stable(feature = "rust1", since = "1.0.0")]
    pub fn contains<Q: ?Sized>(&self, value: &Q) -> bool
    where
        T: Borrow<Q> + Ord,
        Q: Ord,
    {
        self.map.contains_key(value)
    }

    /// 返回集合中与给定值相等的值的引用。
    ///
    /// 值可以是集合值类型的任何借用形式,但是借用形式上的顺序必须与值类型上的顺序相匹配
    ///
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::BTreeSet;
    ///
    /// let set: BTreeSet<_> = [1, 2, 3].iter().cloned().collect();
    /// assert_eq!(set.get(&2), Some(&2));
    /// assert_eq!(set.get(&4), None);
    /// ```
    ///
    #[stable(feature = "set_recovery", since = "1.9.0")]
    pub fn get<Q: ?Sized>(&self, value: &Q) -> Option<&T>
    where
        T: Borrow<Q> + Ord,
        Q: Ord,
    {
        Recover::get(&self.map, value)
    }

    /// 如果 `self` 与 `other` 没有共同的元素,则返回 `true`。
    /// 这等效于检查空的交点。
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::BTreeSet;
    ///
    /// let a: BTreeSet<_> = [1, 2, 3].iter().cloned().collect();
    /// let mut b = BTreeSet::new();
    ///
    /// assert_eq!(a.is_disjoint(&b), true);
    /// b.insert(4);
    /// assert_eq!(a.is_disjoint(&b), true);
    /// b.insert(1);
    /// assert_eq!(a.is_disjoint(&b), false);
    /// ```
    #[must_use]
    #[stable(feature = "rust1", since = "1.0.0")]
    pub fn is_disjoint(&self, other: &BTreeSet<T>) -> bool
    where
        T: Ord,
    {
        self.intersection(other).next().is_none()
    }

    /// 如果集合是另一个集合的子集,则返回 `true`,即 `other` 至少包含 `self` 中的所有值。
    ///
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::BTreeSet;
    ///
    /// let sup: BTreeSet<_> = [1, 2, 3].iter().cloned().collect();
    /// let mut set = BTreeSet::new();
    ///
    /// assert_eq!(set.is_subset(&sup), true);
    /// set.insert(2);
    /// assert_eq!(set.is_subset(&sup), true);
    /// set.insert(4);
    /// assert_eq!(set.is_subset(&sup), false);
    /// ```
    #[must_use]
    #[stable(feature = "rust1", since = "1.0.0")]
    pub fn is_subset(&self, other: &BTreeSet<T>) -> bool
    where
        T: Ord,
    {
        // 与 self.difference (other) .next ()。is_none () 的结果相同,但是下面的代码更快 (在某些情况下会很大)。
        //
        if self.len() > other.len() {
            return false;
        }
        let (self_min, self_max) =
            if let (Some(self_min), Some(self_max)) = (self.first(), self.last()) {
                (self_min, self_max)
            } else {
                return true; // self 是空的
            };
        let (other_min, other_max) =
            if let (Some(other_min), Some(other_max)) = (other.first(), other.last()) {
                (other_min, other_max)
            } else {
                return false; // 另一个是空的
            };
        let mut self_iter = self.iter();
        match self_min.cmp(other_min) {
            Less => return false,
            Equal => {
                self_iter.next();
            }
            Greater => (),
        }
        match self_max.cmp(other_max) {
            Greater => return false,
            Equal => {
                self_iter.next_back();
            }
            Less => (),
        }
        if self_iter.len() <= other.len() / ITER_PERFORMANCE_TIPPING_SIZE_DIFF {
            for next in self_iter {
                if !other.contains(next) {
                    return false;
                }
            }
        } else {
            let mut other_iter = other.iter();
            other_iter.next();
            other_iter.next_back();
            let mut self_next = self_iter.next();
            while let Some(self1) = self_next {
                match other_iter.next().map_or(Less, |other1| self1.cmp(other1)) {
                    Less => return false,
                    Equal => self_next = self_iter.next(),
                    Greater => (),
                }
            }
        }
        true
    }

    /// 如果集合是另一个集合的超集,则返回 `true`,即 `self` 至少包含 `other` 中的所有值。
    ///
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::BTreeSet;
    ///
    /// let sub: BTreeSet<_> = [1, 2].iter().cloned().collect();
    /// let mut set = BTreeSet::new();
    ///
    /// assert_eq!(set.is_superset(&sub), false);
    ///
    /// set.insert(0);
    /// set.insert(1);
    /// assert_eq!(set.is_superset(&sub), false);
    ///
    /// set.insert(2);
    /// assert_eq!(set.is_superset(&sub), true);
    /// ```
    #[must_use]
    #[stable(feature = "rust1", since = "1.0.0")]
    pub fn is_superset(&self, other: &BTreeSet<T>) -> bool
    where
        T: Ord,
    {
        other.is_subset(self)
    }

    /// 返回对集合中第一个值的引用 (如果有)。
    /// 该值始终是集合中所有值的最小值。
    ///
    /// # Examples
    ///
    /// 基本用法:
    ///
    /// ```
    /// #![feature(map_first_last)]
    /// use std::collections::BTreeSet;
    ///
    /// let mut set = BTreeSet::new();
    /// assert_eq!(set.first(), None);
    /// set.insert(1);
    /// assert_eq!(set.first(), Some(&1));
    /// set.insert(2);
    /// assert_eq!(set.first(), Some(&1));
    /// ```
    #[must_use]
    #[unstable(feature = "map_first_last", issue = "62924")]
    pub fn first(&self) -> Option<&T>
    where
        T: Ord,
    {
        self.map.first_key_value().map(|(k, _)| k)
    }

    /// 返回对集合中最后一个值的引用 (如果有)。
    /// 该值始终是集合中所有值的最大值。
    ///
    /// # Examples
    ///
    /// 基本用法:
    ///
    /// ```
    /// #![feature(map_first_last)]
    /// use std::collections::BTreeSet;
    ///
    /// let mut set = BTreeSet::new();
    /// assert_eq!(set.last(), None);
    /// set.insert(1);
    /// assert_eq!(set.last(), Some(&1));
    /// set.insert(2);
    /// assert_eq!(set.last(), Some(&2));
    /// ```
    #[must_use]
    #[unstable(feature = "map_first_last", issue = "62924")]
    pub fn last(&self) -> Option<&T>
    where
        T: Ord,
    {
        self.map.last_key_value().map(|(k, _)| k)
    }

    /// 从集合中删除第一个值,如果有的话,就把它返回。
    /// 第一个值始终是集合中的最小值。
    ///
    /// # Examples
    ///
    /// ```
    /// #![feature(map_first_last)]
    /// use std::collections::BTreeSet;
    ///
    /// let mut set = BTreeSet::new();
    ///
    /// set.insert(1);
    /// while let Some(n) = set.pop_first() {
    ///     assert_eq!(n, 1);
    /// }
    /// assert!(set.is_empty());
    /// ```
    #[unstable(feature = "map_first_last", issue = "62924")]
    pub fn pop_first(&mut self) -> Option<T>
    where
        T: Ord,
    {
        self.map.pop_first().map(|kv| kv.0)
    }

    /// 从集合中删除最后一个值,如果有的话,就把它返回。
    /// 最后一个值始终是集合中的最大值。
    ///
    /// # Examples
    ///
    /// ```
    /// #![feature(map_first_last)]
    /// use std::collections::BTreeSet;
    ///
    /// let mut set = BTreeSet::new();
    ///
    /// set.insert(1);
    /// while let Some(n) = set.pop_last() {
    ///     assert_eq!(n, 1);
    /// }
    /// assert!(set.is_empty());
    /// ```
    #[unstable(feature = "map_first_last", issue = "62924")]
    pub fn pop_last(&mut self) -> Option<T>
    where
        T: Ord,
    {
        self.map.pop_last().map(|kv| kv.0)
    }

    /// 向集合中添加一个值。
    ///
    /// 如果集合中不存在该值,则返回 `true`。
    ///
    /// 如果该集合确实存在此值,则返回 `false`,并且不会更新该条目。
    /// 有关更多信息,请参见 [模块级文档][module-level documentation]。
    ///
    /// [module-level documentation]: index.html#insert-and-complex-keys
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::BTreeSet;
    ///
    /// let mut set = BTreeSet::new();
    ///
    /// assert_eq!(set.insert(2), true);
    /// assert_eq!(set.insert(2), false);
    /// assert_eq!(set.len(), 1);
    /// ```
    #[stable(feature = "rust1", since = "1.0.0")]
    pub fn insert(&mut self, value: T) -> bool
    where
        T: Ord,
    {
        self.map.insert(value, ()).is_none()
    }

    /// 向集合中添加一个值,替换等于给定值的现有值 (如果有)。
    /// 返回替换值。
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::BTreeSet;
    ///
    /// let mut set = BTreeSet::new();
    /// set.insert(Vec::<i32>::new());
    ///
    /// assert_eq!(set.get(&[][..]).unwrap().capacity(), 0);
    /// set.replace(Vec::with_capacity(10));
    /// assert_eq!(set.get(&[][..]).unwrap().capacity(), 10);
    /// ```
    #[stable(feature = "set_recovery", since = "1.9.0")]
    pub fn replace(&mut self, value: T) -> Option<T>
    where
        T: Ord,
    {
        Recover::replace(&mut self.map, value)
    }

    /// 从集合中删除一个值。返回值是否存在于集合中。
    ///
    /// 值可以是集合值类型的任何借用形式,但是借用形式上的顺序必须与值类型上的顺序相匹配
    ///
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::BTreeSet;
    ///
    /// let mut set = BTreeSet::new();
    ///
    /// set.insert(2);
    /// assert_eq!(set.remove(&2), true);
    /// assert_eq!(set.remove(&2), false);
    /// ```
    ///
    ///
    #[stable(feature = "rust1", since = "1.0.0")]
    pub fn remove<Q: ?Sized>(&mut self, value: &Q) -> bool
    where
        T: Borrow<Q> + Ord,
        Q: Ord,
    {
        self.map.remove(value).is_some()
    }

    /// 删除并返回集合中等于给定值的值 (如果有)。
    ///
    /// 值可以是集合值类型的任何借用形式,但是借用形式上的顺序必须与值类型上的顺序相匹配
    ///
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::BTreeSet;
    ///
    /// let mut set: BTreeSet<_> = [1, 2, 3].iter().cloned().collect();
    /// assert_eq!(set.take(&2), Some(2));
    /// assert_eq!(set.take(&2), None);
    /// ```
    ///
    #[stable(feature = "set_recovery", since = "1.9.0")]
    pub fn take<Q: ?Sized>(&mut self, value: &Q) -> Option<T>
    where
        T: Borrow<Q> + Ord,
        Q: Ord,
    {
        Recover::take(&mut self.map, value)
    }

    /// 仅保留谓词指定的元素。
    ///
    /// 换句话说,删除所有元素 `e`,以使 `f(&e)` 返回 `false`。
    /// 元素按升序访问。
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::BTreeSet;
    ///
    /// let xs = [1, 2, 3, 4, 5, 6];
    /// let mut set: BTreeSet<i32> = xs.iter().cloned().collect();
    /// // 仅保留偶数。
    /// set.retain(|&k| k % 2 == 0);
    /// assert!(set.iter().eq([2, 4, 6].iter()));
    /// ```
    #[stable(feature = "btree_retain", since = "1.53.0")]
    pub fn retain<F>(&mut self, mut f: F)
    where
        T: Ord,
        F: FnMut(&T) -> bool,
    {
        self.drain_filter(|v| !f(v));
    }

    /// 将所有元素从 `other` 移到 `Self`,将 `other` 留空。
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::BTreeSet;
    ///
    /// let mut a = BTreeSet::new();
    /// a.insert(1);
    /// a.insert(2);
    /// a.insert(3);
    ///
    /// let mut b = BTreeSet::new();
    /// b.insert(3);
    /// b.insert(4);
    /// b.insert(5);
    ///
    /// a.append(&mut b);
    ///
    /// assert_eq!(a.len(), 5);
    /// assert_eq!(b.len(), 0);
    ///
    /// assert!(a.contains(&1));
    /// assert!(a.contains(&2));
    /// assert!(a.contains(&3));
    /// assert!(a.contains(&4));
    /// assert!(a.contains(&5));
    /// ```
    #[stable(feature = "btree_append", since = "1.11.0")]
    pub fn append(&mut self, other: &mut Self)
    where
        T: Ord,
    {
        self.map.append(&mut other.map);
    }

    /// 按照给定的值将集合一分为二。
    /// 返回给定值之后的所有内容,包括该值。
    ///
    /// # Examples
    ///
    /// 基本用法:
    ///
    /// ```
    /// use std::collections::BTreeSet;
    ///
    /// let mut a = BTreeSet::new();
    /// a.insert(1);
    /// a.insert(2);
    /// a.insert(3);
    /// a.insert(17);
    /// a.insert(41);
    ///
    /// let b = a.split_off(&3);
    ///
    /// assert_eq!(a.len(), 2);
    /// assert_eq!(b.len(), 3);
    ///
    /// assert!(a.contains(&1));
    /// assert!(a.contains(&2));
    ///
    /// assert!(b.contains(&3));
    /// assert!(b.contains(&17));
    /// assert!(b.contains(&41));
    /// ```
    #[stable(feature = "btree_split_off", since = "1.11.0")]
    pub fn split_off<Q: ?Sized + Ord>(&mut self, value: &Q) -> Self
    where
        T: Borrow<Q> + Ord,
    {
        BTreeSet { map: self.map.split_off(value) }
    }

    /// 创建一个按升序访问所有值的迭代器,并使用闭包来确定是否应删除某个值。
    ///
    /// 如果闭包返回 `true`,则该值将从集合中移除并生成。如果闭包返回 `false` 或 panics,则该值保留在集合中,不会被生成。
    ///
    /// 如果迭代器只是部分消耗或根本没有被消耗,那么剩余的每个值仍然会受到闭包的影响,如果返回 `true`,就会被移除和丢弃。
    ///
    /// 如果在闭包中出现 panic,或者在丢弃值时出现 panic,或者 `DrainFilter` 本身被泄漏,那么还有多少值将被关闭,这是未指定的。
    ///
    ///
    /// # Examples
    ///
    /// 将一个集合分为偶数和奇数值,重新使用原始集合:
    ///
    /// ```
    /// #![feature(btree_drain_filter)]
    /// use std::collections::BTreeSet;
    ///
    /// let mut set: BTreeSet<i32> = (0..8).collect();
    /// let evens: BTreeSet<_> = set.drain_filter(|v| v % 2 == 0).collect();
    /// let odds = set;
    /// assert_eq!(evens.into_iter().collect::<Vec<_>>(), vec![0, 2, 4, 6]);
    /// assert_eq!(odds.into_iter().collect::<Vec<_>>(), vec![1, 3, 5, 7]);
    /// ```
    ///
    ///
    ///
    ///
    ///
    ///
    #[unstable(feature = "btree_drain_filter", issue = "70530")]
    pub fn drain_filter<'a, F>(&'a mut self, pred: F) -> DrainFilter<'a, T, F>
    where
        T: Ord,
        F: 'a + FnMut(&T) -> bool,
    {
        DrainFilter { pred, inner: self.map.drain_filter_inner() }
    }

    /// 获取一个迭代器,该迭代器以升序访问 `BTreeSet` 中的值。
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::BTreeSet;
    ///
    /// let set: BTreeSet<usize> = [1, 2, 3].iter().cloned().collect();
    /// let mut set_iter = set.iter();
    /// assert_eq!(set_iter.next(), Some(&1));
    /// assert_eq!(set_iter.next(), Some(&2));
    /// assert_eq!(set_iter.next(), Some(&3));
    /// assert_eq!(set_iter.next(), None);
    /// ```
    ///
    /// 迭代器返回的值以升序返回:
    ///
    /// ```
    /// use std::collections::BTreeSet;
    ///
    /// let set: BTreeSet<usize> = [3, 1, 2].iter().cloned().collect();
    /// let mut set_iter = set.iter();
    /// assert_eq!(set_iter.next(), Some(&1));
    /// assert_eq!(set_iter.next(), Some(&2));
    /// assert_eq!(set_iter.next(), Some(&3));
    /// assert_eq!(set_iter.next(), None);
    /// ```
    #[stable(feature = "rust1", since = "1.0.0")]
    pub fn iter(&self) -> Iter<'_, T> {
        Iter { iter: self.map.keys() }
    }

    /// 返回集合中的元素数。
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::BTreeSet;
    ///
    /// let mut v = BTreeSet::new();
    /// assert_eq!(v.len(), 0);
    /// v.insert(1);
    /// assert_eq!(v.len(), 1);
    /// ```
    #[must_use]
    #[stable(feature = "rust1", since = "1.0.0")]
    #[rustc_const_unstable(feature = "const_btree_new", issue = "71835")]
    pub const fn len(&self) -> usize {
        self.map.len()
    }

    /// 如果集合不包含任何元素,则返回 `true`。
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::BTreeSet;
    ///
    /// let mut v = BTreeSet::new();
    /// assert!(v.is_empty());
    /// v.insert(1);
    /// assert!(!v.is_empty());
    /// ```
    #[must_use]
    #[stable(feature = "rust1", since = "1.0.0")]
    #[rustc_const_unstable(feature = "const_btree_new", issue = "71835")]
    pub const fn is_empty(&self) -> bool {
        self.len() == 0
    }
}

#[stable(feature = "rust1", since = "1.0.0")]
impl<T: Ord> FromIterator<T> for BTreeSet<T> {
    fn from_iter<I: IntoIterator<Item = T>>(iter: I) -> BTreeSet<T> {
        let mut inputs: Vec<_> = iter.into_iter().collect();

        if inputs.is_empty() {
            return BTreeSet::new();
        }

        // 使用稳定排序来保留插入顺序。
        inputs.sort();
        let iter = inputs.into_iter().map(|k| (k, ()));
        let map = BTreeMap::bulk_build_from_sorted_iter(iter);
        BTreeSet { map }
    }
}

#[stable(feature = "std_collections_from_array", since = "1.56.0")]
impl<T: Ord, const N: usize> From<[T; N]> for BTreeSet<T> {
    /// ```
    /// use std::collections::BTreeSet;
    ///
    /// let set1 = BTreeSet::from([1, 2, 3, 4]);
    /// let set2: BTreeSet<_> = [1, 2, 3, 4].into();
    /// assert_eq!(set1, set2);
    /// ```
    fn from(mut arr: [T; N]) -> Self {
        if N == 0 {
            return BTreeSet::new();
        }

        // 使用稳定排序来保留插入顺序。
        arr.sort();
        let iter = core::array::IntoIter::new(arr).map(|k| (k, ()));
        let map = BTreeMap::bulk_build_from_sorted_iter(iter);
        BTreeSet { map }
    }
}

#[stable(feature = "rust1", since = "1.0.0")]
impl<T> IntoIterator for BTreeSet<T> {
    type Item = T;
    type IntoIter = IntoIter<T>;

    /// 获取用于移出 BTreeSet 内容的迭代器。
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::BTreeSet;
    ///
    /// let set: BTreeSet<usize> = [1, 2, 3, 4].iter().cloned().collect();
    ///
    /// let v: Vec<_> = set.into_iter().collect();
    /// assert_eq!(v, [1, 2, 3, 4]);
    /// ```
    fn into_iter(self) -> IntoIter<T> {
        IntoIter { iter: self.map.into_iter() }
    }
}

#[stable(feature = "rust1", since = "1.0.0")]
impl<'a, T> IntoIterator for &'a BTreeSet<T> {
    type Item = &'a T;
    type IntoIter = Iter<'a, T>;

    fn into_iter(self) -> Iter<'a, T> {
        self.iter()
    }
}

/// 通过在 BTreeSet 上调用 `drain_filter` 生成的迭代器。
#[unstable(feature = "btree_drain_filter", issue = "70530")]
pub struct DrainFilter<'a, T, F>
where
    T: 'a,
    F: 'a + FnMut(&T) -> bool,
{
    pred: F,
    inner: super::map::DrainFilterInner<'a, T, ()>,
}

#[unstable(feature = "btree_drain_filter", issue = "70530")]
impl<T, F> Drop for DrainFilter<'_, T, F>
where
    F: FnMut(&T) -> bool,
{
    fn drop(&mut self) {
        self.for_each(drop);
    }
}

#[unstable(feature = "btree_drain_filter", issue = "70530")]
impl<T, F> fmt::Debug for DrainFilter<'_, T, F>
where
    T: fmt::Debug,
    F: FnMut(&T) -> bool,
{
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
        f.debug_tuple("DrainFilter").field(&self.inner.peek().map(|(k, _)| k)).finish()
    }
}

#[unstable(feature = "btree_drain_filter", issue = "70530")]
impl<'a, T, F> Iterator for DrainFilter<'_, T, F>
where
    F: 'a + FnMut(&T) -> bool,
{
    type Item = T;

    fn next(&mut self) -> Option<T> {
        let pred = &mut self.pred;
        let mut mapped_pred = |k: &T, _v: &mut ()| pred(k);
        self.inner.next(&mut mapped_pred).map(|(k, _)| k)
    }

    fn size_hint(&self) -> (usize, Option<usize>) {
        self.inner.size_hint()
    }
}

#[unstable(feature = "btree_drain_filter", issue = "70530")]
impl<T, F> FusedIterator for DrainFilter<'_, T, F> where F: FnMut(&T) -> bool {}

#[stable(feature = "rust1", since = "1.0.0")]
impl<T: Ord> Extend<T> for BTreeSet<T> {
    #[inline]
    fn extend<Iter: IntoIterator<Item = T>>(&mut self, iter: Iter) {
        iter.into_iter().for_each(move |elem| {
            self.insert(elem);
        });
    }

    #[inline]
    fn extend_one(&mut self, elem: T) {
        self.insert(elem);
    }
}

#[stable(feature = "extend_ref", since = "1.2.0")]
impl<'a, T: 'a + Ord + Copy> Extend<&'a T> for BTreeSet<T> {
    fn extend<I: IntoIterator<Item = &'a T>>(&mut self, iter: I) {
        self.extend(iter.into_iter().cloned());
    }

    #[inline]
    fn extend_one(&mut self, &elem: &'a T) {
        self.insert(elem);
    }
}

#[stable(feature = "rust1", since = "1.0.0")]
impl<T> Default for BTreeSet<T> {
    /// 创建一个空的 `BTreeSet`。
    fn default() -> BTreeSet<T> {
        BTreeSet::new()
    }
}

#[stable(feature = "rust1", since = "1.0.0")]
impl<T: Ord + Clone> Sub<&BTreeSet<T>> for &BTreeSet<T> {
    type Output = BTreeSet<T>;

    /// 将 `self` 和 `rhs` 之差作为新的 `BTreeSet<T>` 返回。
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::BTreeSet;
    ///
    /// let a: BTreeSet<_> = vec![1, 2, 3].into_iter().collect();
    /// let b: BTreeSet<_> = vec![3, 4, 5].into_iter().collect();
    ///
    /// let result = &a - &b;
    /// let result_vec: Vec<_> = result.into_iter().collect();
    /// assert_eq!(result_vec, [1, 2]);
    /// ```
    fn sub(self, rhs: &BTreeSet<T>) -> BTreeSet<T> {
        self.difference(rhs).cloned().collect()
    }
}

#[stable(feature = "rust1", since = "1.0.0")]
impl<T: Ord + Clone> BitXor<&BTreeSet<T>> for &BTreeSet<T> {
    type Output = BTreeSet<T>;

    /// 返回 `self` 和 `rhs` 的对称差作为新的 `BTreeSet<T>`。
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::BTreeSet;
    ///
    /// let a: BTreeSet<_> = vec![1, 2, 3].into_iter().collect();
    /// let b: BTreeSet<_> = vec![2, 3, 4].into_iter().collect();
    ///
    /// let result = &a ^ &b;
    /// let result_vec: Vec<_> = result.into_iter().collect();
    /// assert_eq!(result_vec, [1, 4]);
    /// ```
    fn bitxor(self, rhs: &BTreeSet<T>) -> BTreeSet<T> {
        self.symmetric_difference(rhs).cloned().collect()
    }
}

#[stable(feature = "rust1", since = "1.0.0")]
impl<T: Ord + Clone> BitAnd<&BTreeSet<T>> for &BTreeSet<T> {
    type Output = BTreeSet<T>;

    /// 将 `self` 和 `rhs` 的交集返回为新的 `BTreeSet<T>`。
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::BTreeSet;
    ///
    /// let a: BTreeSet<_> = vec![1, 2, 3].into_iter().collect();
    /// let b: BTreeSet<_> = vec![2, 3, 4].into_iter().collect();
    ///
    /// let result = &a & &b;
    /// let result_vec: Vec<_> = result.into_iter().collect();
    /// assert_eq!(result_vec, [2, 3]);
    /// ```
    fn bitand(self, rhs: &BTreeSet<T>) -> BTreeSet<T> {
        self.intersection(rhs).cloned().collect()
    }
}

#[stable(feature = "rust1", since = "1.0.0")]
impl<T: Ord + Clone> BitOr<&BTreeSet<T>> for &BTreeSet<T> {
    type Output = BTreeSet<T>;

    /// 返回 `self` 和 `rhs` 的并集作为新的 `BTreeSet<T>`。
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::BTreeSet;
    ///
    /// let a: BTreeSet<_> = vec![1, 2, 3].into_iter().collect();
    /// let b: BTreeSet<_> = vec![3, 4, 5].into_iter().collect();
    ///
    /// let result = &a | &b;
    /// let result_vec: Vec<_> = result.into_iter().collect();
    /// assert_eq!(result_vec, [1, 2, 3, 4, 5]);
    /// ```
    fn bitor(self, rhs: &BTreeSet<T>) -> BTreeSet<T> {
        self.union(rhs).cloned().collect()
    }
}

#[stable(feature = "rust1", since = "1.0.0")]
impl<T: Debug> Debug for BTreeSet<T> {
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
        f.debug_set().entries(self.iter()).finish()
    }
}

#[stable(feature = "rust1", since = "1.0.0")]
impl<T> Clone for Iter<'_, T> {
    fn clone(&self) -> Self {
        Iter { iter: self.iter.clone() }
    }
}
#[stable(feature = "rust1", since = "1.0.0")]
impl<'a, T> Iterator for Iter<'a, T> {
    type Item = &'a T;

    fn next(&mut self) -> Option<&'a T> {
        self.iter.next()
    }

    fn size_hint(&self) -> (usize, Option<usize>) {
        self.iter.size_hint()
    }

    fn last(mut self) -> Option<&'a T> {
        self.next_back()
    }

    fn min(mut self) -> Option<&'a T> {
        self.next()
    }

    fn max(mut self) -> Option<&'a T> {
        self.next_back()
    }
}
#[stable(feature = "rust1", since = "1.0.0")]
impl<'a, T> DoubleEndedIterator for Iter<'a, T> {
    fn next_back(&mut self) -> Option<&'a T> {
        self.iter.next_back()
    }
}
#[stable(feature = "rust1", since = "1.0.0")]
impl<T> ExactSizeIterator for Iter<'_, T> {
    fn len(&self) -> usize {
        self.iter.len()
    }
}

#[stable(feature = "fused", since = "1.26.0")]
impl<T> FusedIterator for Iter<'_, T> {}

#[stable(feature = "rust1", since = "1.0.0")]
impl<T> Iterator for IntoIter<T> {
    type Item = T;

    fn next(&mut self) -> Option<T> {
        self.iter.next().map(|(k, _)| k)
    }

    fn size_hint(&self) -> (usize, Option<usize>) {
        self.iter.size_hint()
    }
}
#[stable(feature = "rust1", since = "1.0.0")]
impl<T> DoubleEndedIterator for IntoIter<T> {
    fn next_back(&mut self) -> Option<T> {
        self.iter.next_back().map(|(k, _)| k)
    }
}
#[stable(feature = "rust1", since = "1.0.0")]
impl<T> ExactSizeIterator for IntoIter<T> {
    fn len(&self) -> usize {
        self.iter.len()
    }
}

#[stable(feature = "fused", since = "1.26.0")]
impl<T> FusedIterator for IntoIter<T> {}

#[stable(feature = "btree_range", since = "1.17.0")]
impl<T> Clone for Range<'_, T> {
    fn clone(&self) -> Self {
        Range { iter: self.iter.clone() }
    }
}

#[stable(feature = "btree_range", since = "1.17.0")]
impl<'a, T> Iterator for Range<'a, T> {
    type Item = &'a T;

    fn next(&mut self) -> Option<&'a T> {
        self.iter.next().map(|(k, _)| k)
    }

    fn last(mut self) -> Option<&'a T> {
        self.next_back()
    }

    fn min(mut self) -> Option<&'a T> {
        self.next()
    }

    fn max(mut self) -> Option<&'a T> {
        self.next_back()
    }
}

#[stable(feature = "btree_range", since = "1.17.0")]
impl<'a, T> DoubleEndedIterator for Range<'a, T> {
    fn next_back(&mut self) -> Option<&'a T> {
        self.iter.next_back().map(|(k, _)| k)
    }
}

#[stable(feature = "fused", since = "1.26.0")]
impl<T> FusedIterator for Range<'_, T> {}

#[stable(feature = "rust1", since = "1.0.0")]
impl<T> Clone for Difference<'_, T> {
    fn clone(&self) -> Self {
        Difference {
            inner: match &self.inner {
                DifferenceInner::Stitch { self_iter, other_iter } => DifferenceInner::Stitch {
                    self_iter: self_iter.clone(),
                    other_iter: other_iter.clone(),
                },
                DifferenceInner::Search { self_iter, other_set } => {
                    DifferenceInner::Search { self_iter: self_iter.clone(), other_set }
                }
                DifferenceInner::Iterate(iter) => DifferenceInner::Iterate(iter.clone()),
            },
        }
    }
}
#[stable(feature = "rust1", since = "1.0.0")]
impl<'a, T: Ord> Iterator for Difference<'a, T> {
    type Item = &'a T;

    fn next(&mut self) -> Option<&'a T> {
        match &mut self.inner {
            DifferenceInner::Stitch { self_iter, other_iter } => {
                let mut self_next = self_iter.next()?;
                loop {
                    match other_iter.peek().map_or(Less, |other_next| self_next.cmp(other_next)) {
                        Less => return Some(self_next),
                        Equal => {
                            self_next = self_iter.next()?;
                            other_iter.next();
                        }
                        Greater => {
                            other_iter.next();
                        }
                    }
                }
            }
            DifferenceInner::Search { self_iter, other_set } => loop {
                let self_next = self_iter.next()?;
                if !other_set.contains(&self_next) {
                    return Some(self_next);
                }
            },
            DifferenceInner::Iterate(iter) => iter.next(),
        }
    }

    fn size_hint(&self) -> (usize, Option<usize>) {
        let (self_len, other_len) = match &self.inner {
            DifferenceInner::Stitch { self_iter, other_iter } => {
                (self_iter.len(), other_iter.len())
            }
            DifferenceInner::Search { self_iter, other_set } => (self_iter.len(), other_set.len()),
            DifferenceInner::Iterate(iter) => (iter.len(), 0),
        };
        (self_len.saturating_sub(other_len), Some(self_len))
    }

    fn min(mut self) -> Option<&'a T> {
        self.next()
    }
}

#[stable(feature = "fused", since = "1.26.0")]
impl<T: Ord> FusedIterator for Difference<'_, T> {}

#[stable(feature = "rust1", since = "1.0.0")]
impl<T> Clone for SymmetricDifference<'_, T> {
    fn clone(&self) -> Self {
        SymmetricDifference(self.0.clone())
    }
}
#[stable(feature = "rust1", since = "1.0.0")]
impl<'a, T: Ord> Iterator for SymmetricDifference<'a, T> {
    type Item = &'a T;

    fn next(&mut self) -> Option<&'a T> {
        loop {
            let (a_next, b_next) = self.0.nexts(Self::Item::cmp);
            if a_next.and(b_next).is_none() {
                return a_next.or(b_next);
            }
        }
    }

    fn size_hint(&self) -> (usize, Option<usize>) {
        let (a_len, b_len) = self.0.lens();
        // 无需 checked_add,因为即使 a 和 b 引用相同的集合,并且 T 是空类型,集合的存储开销也将元素数限制为小于使用范围的一半。
        //
        //
        (0, Some(a_len + b_len))
    }

    fn min(mut self) -> Option<&'a T> {
        self.next()
    }
}

#[stable(feature = "fused", since = "1.26.0")]
impl<T: Ord> FusedIterator for SymmetricDifference<'_, T> {}

#[stable(feature = "rust1", since = "1.0.0")]
impl<T> Clone for Intersection<'_, T> {
    fn clone(&self) -> Self {
        Intersection {
            inner: match &self.inner {
                IntersectionInner::Stitch { a, b } => {
                    IntersectionInner::Stitch { a: a.clone(), b: b.clone() }
                }
                IntersectionInner::Search { small_iter, large_set } => {
                    IntersectionInner::Search { small_iter: small_iter.clone(), large_set }
                }
                IntersectionInner::Answer(answer) => IntersectionInner::Answer(*answer),
            },
        }
    }
}
#[stable(feature = "rust1", since = "1.0.0")]
impl<'a, T: Ord> Iterator for Intersection<'a, T> {
    type Item = &'a T;

    fn next(&mut self) -> Option<&'a T> {
        match &mut self.inner {
            IntersectionInner::Stitch { a, b } => {
                let mut a_next = a.next()?;
                let mut b_next = b.next()?;
                loop {
                    match a_next.cmp(b_next) {
                        Less => a_next = a.next()?,
                        Greater => b_next = b.next()?,
                        Equal => return Some(a_next),
                    }
                }
            }
            IntersectionInner::Search { small_iter, large_set } => loop {
                let small_next = small_iter.next()?;
                if large_set.contains(&small_next) {
                    return Some(small_next);
                }
            },
            IntersectionInner::Answer(answer) => answer.take(),
        }
    }

    fn size_hint(&self) -> (usize, Option<usize>) {
        match &self.inner {
            IntersectionInner::Stitch { a, b } => (0, Some(min(a.len(), b.len()))),
            IntersectionInner::Search { small_iter, .. } => (0, Some(small_iter.len())),
            IntersectionInner::Answer(None) => (0, Some(0)),
            IntersectionInner::Answer(Some(_)) => (1, Some(1)),
        }
    }

    fn min(mut self) -> Option<&'a T> {
        self.next()
    }
}

#[stable(feature = "fused", since = "1.26.0")]
impl<T: Ord> FusedIterator for Intersection<'_, T> {}

#[stable(feature = "rust1", since = "1.0.0")]
impl<T> Clone for Union<'_, T> {
    fn clone(&self) -> Self {
        Union(self.0.clone())
    }
}
#[stable(feature = "rust1", since = "1.0.0")]
impl<'a, T: Ord> Iterator for Union<'a, T> {
    type Item = &'a T;

    fn next(&mut self) -> Option<&'a T> {
        let (a_next, b_next) = self.0.nexts(Self::Item::cmp);
        a_next.or(b_next)
    }

    fn size_hint(&self) -> (usize, Option<usize>) {
        let (a_len, b_len) = self.0.lens();
        // 否 checked_add - 请参见 SymmetricDifference::size_hint。
        (max(a_len, b_len), Some(a_len + b_len))
    }

    fn min(mut self) -> Option<&'a T> {
        self.next()
    }
}

#[stable(feature = "fused", since = "1.26.0")]
impl<T: Ord> FusedIterator for Union<'_, T> {}

#[cfg(test)]
mod tests;