map.rs

// Copyright 2014-2015 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.

use self::Entry::*;
use self::VacantEntryState::*;

use alloc::CollectionAllocErr;
use cell::Cell;
use borrow::Borrow;
use cmp::max;
use fmt::{self, Debug};
#[allow(deprecated)]
use hash::{Hash, Hasher, BuildHasher, SipHasher13};
use iter::{FromIterator, FusedIterator};
use mem::{self, replace};
use ops::{Deref, Index};
use sys;

use super::table::{self, Bucket, EmptyBucket, Fallibility, FullBucket, FullBucketMut, RawTable,
                   SafeHash};
use super::table::BucketState::{Empty, Full};
use super::table::Fallibility::{Fallible, Infallible};

const MIN_NONZERO_RAW_CAPACITY: usize = 32;     // must be a power of two

/// The default behavior of HashMap implements a maximum load factor of 90.9%.
#[derive(Clone)]
struct DefaultResizePolicy;

impl DefaultResizePolicy {
    #[inline]
    fn new() -> DefaultResizePolicy {
        DefaultResizePolicy
    }

    /// A hash map's "capacity" is the number of elements it can hold without
    /// being resized. Its "raw capacity" is the number of slots required to
    /// provide that capacity, accounting for maximum loading. The raw capacity
    /// is always zero or a power of two.
    #[inline]
    fn try_raw_capacity(&self, len: usize) -> Result<usize, CollectionAllocErr> {
        if len == 0 {
            Ok(0)
        } else {
            // 1. Account for loading: `raw_capacity >= len * 1.1`.
            // 2. Ensure it is a power of two.
            // 3. Ensure it is at least the minimum size.
            let mut raw_cap = len.checked_mul(11)
                .map(|l| l / 10)
                .and_then(|l| l.checked_next_power_of_two())
                .ok_or(CollectionAllocErr::CapacityOverflow)?;

            raw_cap = max(MIN_NONZERO_RAW_CAPACITY, raw_cap);
            Ok(raw_cap)
        }
    }

    #[inline]
    fn raw_capacity(&self, len: usize) -> usize {
        self.try_raw_capacity(len).expect("raw_capacity overflow")
    }

    /// The capacity of the given raw capacity.
    #[inline]
    fn capacity(&self, raw_cap: usize) -> usize {
        // This doesn't have to be checked for overflow since allocation size
        // in bytes will overflow earlier than multiplication by 10.
        //
        // As per https://github.com/rust-lang/rust/pull/30991 this is updated
        // to be: (raw_cap * den + den - 1) / num
        (raw_cap * 10 + 10 - 1) / 11
    }
}

// The main performance trick in this hashmap is called Robin Hood Hashing.
// It gains its excellent performance from one essential operation:
//
//    If an insertion collides with an existing element, and that element's
//    "probe distance" (how far away the element is from its ideal location)
//    is higher than how far we've already probed, swap the elements.
//
// This massively lowers variance in probe distance, and allows us to get very
// high load factors with good performance. The 90% load factor I use is rather
// conservative.
//
// > Why a load factor of approximately 90%?
//
// In general, all the distances to initial buckets will converge on the mean.
// At a load factor of α, the odds of finding the target bucket after k
// probes is approximately 1-α^k. If we set this equal to 50% (since we converge
// on the mean) and set k=8 (64-byte cache line / 8-byte hash), α=0.92. I round
// this down to make the math easier on the CPU and avoid its FPU.
// Since on average we start the probing in the middle of a cache line, this
// strategy pulls in two cache lines of hashes on every lookup. I think that's
// pretty good, but if you want to trade off some space, it could go down to one
// cache line on average with an α of 0.84.
//
// > Wait, what? Where did you get 1-α^k from?
//
// On the first probe, your odds of a collision with an existing element is α.
// The odds of doing this twice in a row is approximately α^2. For three times,
// α^3, etc. Therefore, the odds of colliding k times is α^k. The odds of NOT
// colliding after k tries is 1-α^k.
//
// The paper from 1986 cited below mentions an implementation which keeps track
// of the distance-to-initial-bucket histogram. This approach is not suitable
// for modern architectures because it requires maintaining an internal data
// structure. This allows very good first guesses, but we are most concerned
// with guessing entire cache lines, not individual indexes. Furthermore, array
// accesses are no longer linear and in one direction, as we have now. There
// is also memory and cache pressure that this would entail that would be very
// difficult to properly see in a microbenchmark.
//
// ## Future Improvements (FIXME!)
//
// Allow the load factor to be changed dynamically and/or at initialization.
//
// Also, would it be possible for us to reuse storage when growing the
// underlying table? This is exactly the use case for 'realloc', and may
// be worth exploring.
//
// ## Future Optimizations (FIXME!)
//
// Another possible design choice that I made without any real reason is
// parameterizing the raw table over keys and values. Technically, all we need
// is the size and alignment of keys and values, and the code should be just as
// efficient (well, we might need one for power-of-two size and one for not...).
// This has the potential to reduce code bloat in rust executables, without
// really losing anything except 4 words (key size, key alignment, val size,
// val alignment) which can be passed in to every call of a `RawTable` function.
// This would definitely be an avenue worth exploring if people start complaining
// about the size of rust executables.
//
// Annotate exceedingly likely branches in `table::make_hash`
// and `search_hashed` to reduce instruction cache pressure
// and mispredictions once it becomes possible (blocked on issue #11092).
//
// Shrinking the table could simply reallocate in place after moving buckets
// to the first half.
//
// The growth algorithm (fragment of the Proof of Correctness)
// --------------------
//
// The growth algorithm is basically a fast path of the naive reinsertion-
// during-resize algorithm. Other paths should never be taken.
//
// Consider growing a robin hood hashtable of capacity n. Normally, we do this
// by allocating a new table of capacity `2n`, and then individually reinsert
// each element in the old table into the new one. This guarantees that the
// new table is a valid robin hood hashtable with all the desired statistical
// properties. Remark that the order we reinsert the elements in should not
// matter. For simplicity and efficiency, we will consider only linear
// reinsertions, which consist of reinserting all elements in the old table
// into the new one by increasing order of index. However we will not be
// starting our reinsertions from index 0 in general. If we start from index
// i, for the purpose of reinsertion we will consider all elements with real
// index j < i to have virtual index n + j.
//
// Our hash generation scheme consists of generating a 64-bit hash and
// truncating the most significant bits. When moving to the new table, we
// simply introduce a new bit to the front of the hash. Therefore, if an
// elements has ideal index i in the old table, it can have one of two ideal
// locations in the new table. If the new bit is 0, then the new ideal index
// is i. If the new bit is 1, then the new ideal index is n + i. Intuitively,
// we are producing two independent tables of size n, and for each element we
// independently choose which table to insert it into with equal probability.
// However the rather than wrapping around themselves on overflowing their
// indexes, the first table overflows into the first, and the first into the
// second. Visually, our new table will look something like:
//
// [yy_xxx_xxxx_xxx|xx_yyy_yyyy_yyy]
//
// Where x's are elements inserted into the first table, y's are elements
// inserted into the second, and _'s are empty sections. We now define a few
// key concepts that we will use later. Note that this is a very abstract
// perspective of the table. A real resized table would be at least half
// empty.
//
// Theorem: A linear robin hood reinsertion from the first ideal element
// produces identical results to a linear naive reinsertion from the same
// element.
//
// FIXME(Gankro, pczarn): review the proof and put it all in a separate README.md
//
// Adaptive early resizing
// ----------------------
// To protect against degenerate performance scenarios (including DOS attacks),
// the implementation includes an adaptive behavior that can resize the map
// early (before its capacity is exceeded) when suspiciously long probe sequences
// are encountered.
//
// With this algorithm in place it would be possible to turn a CPU attack into
// a memory attack due to the aggressive resizing. To prevent that the
// adaptive behavior only triggers when the map is at least half full.
// This reduces the effectiveness of the algorithm but also makes it completely safe.
//
// The previous safety measure also prevents degenerate interactions with
// really bad quality hash algorithms that can make normal inputs look like a
// DOS attack.
//
const DISPLACEMENT_THRESHOLD: usize = 128;
//
// The threshold of 128 is chosen to minimize the chance of exceeding it.
// In particular, we want that chance to be less than 10^-8 with a load of 90%.
// For displacement, the smallest constant that fits our needs is 90,
// so we round that up to 128.
//
// At a load factor of α, the odds of finding the target bucket after exactly n
// unsuccessful probes[1] are
//
// Pr_α{displacement = n} =
// (1 - α) / α * ∑_{k≥1} e^(-kα) * (kα)^(k+n) / (k + n)! * (1 - kα / (k + n + 1))
//
// We use this formula to find the probability of triggering the adaptive behavior
//
// Pr_0.909{displacement > 128} = 1.601 * 10^-11
//
// 1. Alfredo Viola (2005). Distributional analysis of Robin Hood linear probing
//    hashing with buckets.

/// A hash map implemented with linear probing and Robin Hood bucket stealing.
///
/// By default, `HashMap` uses a hashing algorithm selected to provide
/// resistance against HashDoS attacks. The algorithm is randomly seeded, and a
/// reasonable best-effort is made to generate this seed from a high quality,
/// secure source of randomness provided by the host without blocking the
/// program. Because of this, the randomness of the seed depends on the output
/// quality of the system's random number generator when the seed is created.
/// In particular, seeds generated when the system's entropy pool is abnormally
/// low such as during system boot may be of a lower quality.
///
/// The default hashing algorithm is currently SipHash 1-3, though this is
/// subject to change at any point in the future. While its performance is very
/// competitive for medium sized keys, other hashing algorithms will outperform
/// it for small keys such as integers as well as large keys such as long
/// strings, though those algorithms will typically *not* protect against
/// attacks such as HashDoS.
///
/// The hashing algorithm can be replaced on a per-`HashMap` basis using the
/// [`default`], [`with_hasher`], and [`with_capacity_and_hasher`] methods. Many
/// alternative algorithms are available on crates.io, such as the [`fnv`] crate.
///
/// It is required that the keys implement the [`Eq`] and [`Hash`] traits, although
/// this can frequently be achieved by using `#[derive(PartialEq, Eq, Hash)]`.
/// If you implement these yourself, it is important that the following
/// property holds:
///
/// ```text
/// k1 == k2 -> hash(k1) == hash(k2)
/// ```
///
/// In other words, if two keys are equal, their hashes must be equal.
///
/// It is a logic error for a key to be modified in such a way that the key's
/// hash, as determined by the [`Hash`] trait, or its equality, as determined by
/// the [`Eq`] trait, changes while it is in the map. This is normally only
/// possible through [`Cell`], [`RefCell`], global state, I/O, or unsafe code.
///
/// Relevant papers/articles:
///
/// 1. Pedro Celis. ["Robin Hood Hashing"](https://cs.uwaterloo.ca/research/tr/1986/CS-86-14.pdf)
/// 2. Emmanuel Goossaert. ["Robin Hood
///    hashing"](http://codecapsule.com/2013/11/11/robin-hood-hashing/)
/// 3. Emmanuel Goossaert. ["Robin Hood hashing: backward shift
///    deletion"](http://codecapsule.com/2013/11/17/robin-hood-hashing-backward-shift-deletion/)
///
/// # Examples
///
/// ```
/// use std::collections::HashMap;
///
/// // type inference lets us omit an explicit type signature (which
/// // would be `HashMap<&str, &str>` in this example).
/// let mut book_reviews = HashMap::new();
///
/// // review some books.
/// book_reviews.insert("Adventures of Huckleberry Finn",    "My favorite book.");
/// book_reviews.insert("Grimms' Fairy Tales",               "Masterpiece.");
/// book_reviews.insert("Pride and Prejudice",               "Very enjoyable.");
/// book_reviews.insert("The Adventures of Sherlock Holmes", "Eye lyked it alot.");
///
/// // check for a specific one.
/// if !book_reviews.contains_key("Les Misérables") {
///     println!("We've got {} reviews, but Les Misérables ain't one.",
///              book_reviews.len());
/// }
///
/// // oops, this review has a lot of spelling mistakes, let's delete it.
/// book_reviews.remove("The Adventures of Sherlock Holmes");
///
/// // look up the values associated with some keys.
/// let to_find = ["Pride and Prejudice", "Alice's Adventure in Wonderland"];
/// for book in &to_find {
///     match book_reviews.get(book) {
///         Some(review) => println!("{}: {}", book, review),
///         None => println!("{} is unreviewed.", book)
///     }
/// }
///
/// // iterate over everything.
/// for (book, review) in &book_reviews {
///     println!("{}: \"{}\"", book, review);
/// }
/// ```
///
/// `HashMap` also implements an [`Entry API`](#method.entry), which allows
/// for more complex methods of getting, setting, updating and removing keys and
/// their values:
///
/// ```
/// use std::collections::HashMap;
///
/// // type inference lets us omit an explicit type signature (which
/// // would be `HashMap<&str, u8>` in this example).
/// let mut player_stats = HashMap::new();
///
/// fn random_stat_buff() -> u8 {
///     // could actually return some random value here - let's just return
///     // some fixed value for now
///     42
/// }
///
/// // insert a key only if it doesn't already exist
/// player_stats.entry("health").or_insert(100);
///
/// // insert a key using a function that provides a new value only if it
/// // doesn't already exist
/// player_stats.entry("defence").or_insert_with(random_stat_buff);
///
/// // update a key, guarding against the key possibly not being set
/// let stat = player_stats.entry("attack").or_insert(100);
/// *stat += random_stat_buff();
/// ```
///
/// The easiest way to use `HashMap` with a custom type as key is to derive [`Eq`] and [`Hash`].
/// We must also derive [`PartialEq`].
///
/// [`Eq`]: ../../std/cmp/trait.Eq.html
/// [`Hash`]: ../../std/hash/trait.Hash.html
/// [`PartialEq`]: ../../std/cmp/trait.PartialEq.html
/// [`RefCell`]: ../../std/cell/struct.RefCell.html
/// [`Cell`]: ../../std/cell/struct.Cell.html
/// [`default`]: #method.default
/// [`with_hasher`]: #method.with_hasher
/// [`with_capacity_and_hasher`]: #method.with_capacity_and_hasher
/// [`fnv`]: https://crates.io/crates/fnv
///
/// ```
/// use std::collections::HashMap;
///
/// #[derive(Hash, Eq, PartialEq, Debug)]
/// struct Viking {
///     name: String,
///     country: String,
/// }
///
/// impl Viking {
///     /// Create a new Viking.
///     fn new(name: &str, country: &str) -> Viking {
///         Viking { name: name.to_string(), country: country.to_string() }
///     }
/// }
///
/// // Use a HashMap to store the vikings' health points.
/// let mut vikings = HashMap::new();
///
/// vikings.insert(Viking::new("Einar", "Norway"), 25);
/// vikings.insert(Viking::new("Olaf", "Denmark"), 24);
/// vikings.insert(Viking::new("Harald", "Iceland"), 12);
///
/// // Use derived implementation to print the status of the vikings.
/// for (viking, health) in &vikings {
///     println!("{:?} has {} hp", viking, health);
/// }
/// ```
///
/// A `HashMap` with fixed list of elements can be initialized from an array:
///
/// ```
/// use std::collections::HashMap;
///
/// fn main() {
///     let timber_resources: HashMap<&str, i32> =
///     [("Norway", 100),
///      ("Denmark", 50),
///      ("Iceland", 10)]
///      .iter().cloned().collect();
///     // use the values stored in map
/// }
/// ```

#[derive(Clone)]
#[stable(feature = "rust1", since = "1.0.0")]
pub struct HashMap<K, V, S = RandomState> {
    // All hashes are keyed on these values, to prevent hash collision attacks.
    hash_builder: S,

    table: RawTable<K, V>,

    resize_policy: DefaultResizePolicy,
}

/// Search for a pre-hashed key.
/// If you don't already know the hash, use search or search_mut instead
#[inline]
fn search_hashed<K, V, M, F>(table: M, hash: SafeHash, is_match: F) -> InternalEntry<K, V, M>
    where M: Deref<Target = RawTable<K, V>>,
          F: FnMut(&K) -> bool
{
    // This is the only function where capacity can be zero. To avoid
    // undefined behavior when Bucket::new gets the raw bucket in this
    // case, immediately return the appropriate search result.
    if table.capacity() == 0 {
        return InternalEntry::TableIsEmpty;
    }

    search_hashed_nonempty(table, hash, is_match)
}

/// Search for a pre-hashed key when the hash map is known to be non-empty.
#[inline]
fn search_hashed_nonempty<K, V, M, F>(table: M, hash: SafeHash, mut is_match: F)
    -> InternalEntry<K, V, M>
    where M: Deref<Target = RawTable<K, V>>,
          F: FnMut(&K) -> bool
{
    // Do not check the capacity as an extra branch could slow the lookup.

    let size = table.size();
    let mut probe = Bucket::new(table, hash);
    let mut displacement = 0;

    loop {
        let full = match probe.peek() {
            Empty(bucket) => {
                // Found a hole!
                return InternalEntry::Vacant {
                    hash,
                    elem: NoElem(bucket, displacement),
                };
            }
            Full(bucket) => bucket,
        };

        let probe_displacement = full.displacement();

        if probe_displacement < displacement {
            // Found a luckier bucket than me.
            // We can finish the search early if we hit any bucket
            // with a lower distance to initial bucket than we've probed.
            return InternalEntry::Vacant {
                hash,
                elem: NeqElem(full, probe_displacement),
            };
        }

        // If the hash doesn't match, it can't be this one..
        if hash == full.hash() {
            // If the key doesn't match, it can't be this one..
            if is_match(full.read().0) {
                return InternalEntry::Occupied { elem: full };
            }
        }
        displacement += 1;
        probe = full.next();
        debug_assert!(displacement <= size);
    }
}

fn pop_internal<K, V>(starting_bucket: FullBucketMut<K, V>)
    -> (K, V, &mut RawTable<K, V>)
{
    let (empty, retkey, retval) = starting_bucket.take();
    let mut gap = match empty.gap_peek() {
        Ok(b) => b,
        Err(b) => return (retkey, retval, b.into_table()),
    };

    while gap.full().displacement() != 0 {
        gap = match gap.shift() {
            Ok(b) => b,
            Err(b) => {
                return (retkey, retval, b.into_table());
            },
        };
    }

    // Now we've done all our shifting. Return the value we grabbed earlier.
    (retkey, retval, gap.into_table())
}

/// Perform robin hood bucket stealing at the given `bucket`. You must
/// also pass that bucket's displacement so we don't have to recalculate it.
///
/// `hash`, `key`, and `val` are the elements to "robin hood" into the hashtable.
fn robin_hood<'a, K: 'a, V: 'a>(bucket: FullBucketMut<'a, K, V>,
                                mut displacement: usize,
                                mut hash: SafeHash,
                                mut key: K,
                                mut val: V)
                                -> FullBucketMut<'a, K, V> {
    let size = bucket.table().size();
    let raw_capacity = bucket.table().capacity();
    // There can be at most `size - dib` buckets to displace, because
    // in the worst case, there are `size` elements and we already are
    // `displacement` buckets away from the initial one.
    let idx_end = (bucket.index() + size - bucket.displacement()) % raw_capacity;
    // Save the *starting point*.
    let mut bucket = bucket.stash();

    loop {
        let (old_hash, old_key, old_val) = bucket.replace(hash, key, val);
        hash = old_hash;
        key = old_key;
        val = old_val;

        loop {
            displacement += 1;
            let probe = bucket.next();
            debug_assert!(probe.index() != idx_end);

            let full_bucket = match probe.peek() {
                Empty(bucket) => {
                    // Found a hole!
                    let bucket = bucket.put(hash, key, val);
                    // Now that it's stolen, just read the value's pointer
                    // right out of the table! Go back to the *starting point*.
                    //
                    // This use of `into_table` is misleading. It turns the
                    // bucket, which is a FullBucket on top of a
                    // FullBucketMut, into just one FullBucketMut. The "table"
                    // refers to the inner FullBucketMut in this context.
                    return bucket.into_table();
                }
                Full(bucket) => bucket,
            };

            let probe_displacement = full_bucket.displacement();

            bucket = full_bucket;

            // Robin hood! Steal the spot.
            if probe_displacement < displacement {
                displacement = probe_displacement;
                break;
            }
        }
    }
}

impl<K, V, S> HashMap<K, V, S>
    where K: Eq + Hash,
          S: BuildHasher
{
    fn make_hash<X: ?Sized>(&self, x: &X) -> SafeHash
        where X: Hash
    {
        table::make_hash(&self.hash_builder, x)
    }

    /// Search for a key, yielding the index if it's found in the hashtable.
    /// If you already have the hash for the key lying around, or if you need an
    /// InternalEntry, use search_hashed or search_hashed_nonempty.
    #[inline]
    fn search<'a, Q: ?Sized>(&'a self, q: &Q)
        -> Option<FullBucket<K, V, &'a RawTable<K, V>>>
        where K: Borrow<Q>,
              Q: Eq + Hash
    {
        if self.is_empty() {
            return None;
        }

        let hash = self.make_hash(q);
        search_hashed_nonempty(&self.table, hash, |k| q.eq(k.borrow()))
            .into_occupied_bucket()
    }

    #[inline]
    fn search_mut<'a, Q: ?Sized>(&'a mut self, q: &Q)
        -> Option<FullBucket<K, V, &'a mut RawTable<K, V>>>
        where K: Borrow<Q>,
              Q: Eq + Hash
    {
        if self.is_empty() {
            return None;
        }

        let hash = self.make_hash(q);
        search_hashed_nonempty(&mut self.table, hash, |k| q.eq(k.borrow()))
            .into_occupied_bucket()
    }

    // The caller should ensure that invariants by Robin Hood Hashing hold
    // and that there's space in the underlying table.
    fn insert_hashed_ordered(&mut self, hash: SafeHash, k: K, v: V) {
        let mut buckets = Bucket::new(&mut self.table, hash);
        let start_index = buckets.index();

        loop {
            // We don't need to compare hashes for value swap.
            // Not even DIBs for Robin Hood.
            buckets = match buckets.peek() {
                Empty(empty) => {
                    empty.put(hash, k, v);
                    return;
                }
                Full(b) => b.into_bucket(),
            };
            buckets.next();
            debug_assert!(buckets.index() != start_index);
        }
    }
}

impl<K: Hash + Eq, V> HashMap<K, V, RandomState> {
    /// Creates an empty `HashMap`.
    ///
    /// The hash map is initially created with a capacity of 0, so it will not allocate until it
    /// is first inserted into.
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::HashMap;
    /// let mut map: HashMap<&str, i32> = HashMap::new();
    /// ```
    #[inline]
    #[stable(feature = "rust1", since = "1.0.0")]
    pub fn new() -> HashMap<K, V, RandomState> {
        Default::default()
    }

    /// Creates an empty `HashMap` with the specified capacity.
    ///
    /// The hash map will be able to hold at least `capacity` elements without
    /// reallocating. If `capacity` is 0, the hash map will not allocate.
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::HashMap;
    /// let mut map: HashMap<&str, i32> = HashMap::with_capacity(10);
    /// ```
    #[inline]
    #[stable(feature = "rust1", since = "1.0.0")]
    pub fn with_capacity(capacity: usize) -> HashMap<K, V, RandomState> {
        HashMap::with_capacity_and_hasher(capacity, Default::default())
    }
}

impl<K, V, S> HashMap<K, V, S>
    where K: Eq + Hash,
          S: BuildHasher
{
    /// Creates an empty `HashMap` which will use the given hash builder to hash
    /// keys.
    ///
    /// The created map has the default initial capacity.
    ///
    /// Warning: `hash_builder` is normally randomly generated, and
    /// is designed to allow HashMaps to be resistant to attacks that
    /// cause many collisions and very poor performance. Setting it
    /// manually using this function can expose a DoS attack vector.
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::HashMap;
    /// use std::collections::hash_map::RandomState;
    ///
    /// let s = RandomState::new();
    /// let mut map = HashMap::with_hasher(s);
    /// map.insert(1, 2);
    /// ```
    #[inline]
    #[stable(feature = "hashmap_build_hasher", since = "1.7.0")]
    pub fn with_hasher(hash_builder: S) -> HashMap<K, V, S> {
        HashMap {
            hash_builder,
            resize_policy: DefaultResizePolicy::new(),
            table: RawTable::new(0),
        }
    }

    /// Creates an empty `HashMap` with the specified capacity, using `hash_builder`
    /// to hash the keys.
    ///
    /// The hash map will be able to hold at least `capacity` elements without
    /// reallocating. If `capacity` is 0, the hash map will not allocate.
    ///
    /// Warning: `hash_builder` is normally randomly generated, and
    /// is designed to allow HashMaps to be resistant to attacks that
    /// cause many collisions and very poor performance. Setting it
    /// manually using this function can expose a DoS attack vector.
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::HashMap;
    /// use std::collections::hash_map::RandomState;
    ///
    /// let s = RandomState::new();
    /// let mut map = HashMap::with_capacity_and_hasher(10, s);
    /// map.insert(1, 2);
    /// ```
    #[inline]
    #[stable(feature = "hashmap_build_hasher", since = "1.7.0")]
    pub fn with_capacity_and_hasher(capacity: usize, hash_builder: S) -> HashMap<K, V, S> {
        let resize_policy = DefaultResizePolicy::new();
        let raw_cap = resize_policy.raw_capacity(capacity);
        HashMap {
            hash_builder,
            resize_policy,
            table: RawTable::new(raw_cap),
        }
    }

    /// Returns a reference to the map's [`BuildHasher`].
    ///
    /// [`BuildHasher`]: ../../std/hash/trait.BuildHasher.html
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::HashMap;
    /// use std::collections::hash_map::RandomState;
    ///
    /// let hasher = RandomState::new();
    /// let map: HashMap<i32, i32> = HashMap::with_hasher(hasher);
    /// let hasher: &RandomState = map.hasher();
    /// ```
    #[stable(feature = "hashmap_public_hasher", since = "1.9.0")]
    pub fn hasher(&self) -> &S {
        &self.hash_builder
    }

    /// Returns the number of elements the map can hold without reallocating.
    ///
    /// This number is a lower bound; the `HashMap<K, V>` might be able to hold
    /// more, but is guaranteed to be able to hold at least this many.
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::HashMap;
    /// let map: HashMap<i32, i32> = HashMap::with_capacity(100);
    /// assert!(map.capacity() >= 100);
    /// ```
    #[inline]
    #[stable(feature = "rust1", since = "1.0.0")]
    pub fn capacity(&self) -> usize {
        self.resize_policy.capacity(self.raw_capacity())
    }

    /// Returns the hash map's raw capacity.
    #[inline]
    fn raw_capacity(&self) -> usize {
        self.table.capacity()
    }

    /// Reserves capacity for at least `additional` more elements to be inserted
    /// in the `HashMap`. The collection may reserve more space to avoid
    /// frequent reallocations.
    ///
    /// # Panics
    ///
    /// Panics if the new allocation size overflows [`usize`].
    ///
    /// [`usize`]: ../../std/primitive.usize.html
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::HashMap;
    /// let mut map: HashMap<&str, i32> = HashMap::new();
    /// map.reserve(10);
    /// ```
    #[stable(feature = "rust1", since = "1.0.0")]
    pub fn reserve(&mut self, additional: usize) {
        match self.reserve_internal(additional, Infallible) {
            Err(CollectionAllocErr::CapacityOverflow) => panic!("capacity overflow"),
            Err(CollectionAllocErr::AllocErr) => unreachable!(),
            Ok(()) => { /* yay */ }
        }
    }

    /// Tries to reserve capacity for at least `additional` more elements to be inserted
    /// in the given `HashMap<K,V>`. The collection may reserve more space to avoid
    /// frequent reallocations.
    ///
    /// # Errors
    ///
    /// If the capacity overflows, or the allocator reports a failure, then an error
    /// is returned.
    ///
    /// # Examples
    ///
    /// ```
    /// #![feature(try_reserve)]
    /// use std::collections::HashMap;
    /// let mut map: HashMap<&str, isize> = HashMap::new();
    /// map.try_reserve(10).expect("why is the test harness OOMing on 10 bytes?");
    /// ```
    #[unstable(feature = "try_reserve", reason = "new API", issue="48043")]
    pub fn try_reserve(&mut self, additional: usize) -> Result<(), CollectionAllocErr> {
        self.reserve_internal(additional, Fallible)
    }

    fn reserve_internal(&mut self, additional: usize, fallibility: Fallibility)
        -> Result<(), CollectionAllocErr> {

        let remaining = self.capacity() - self.len(); // this can't overflow
        if remaining < additional {
            let min_cap = self.len()
                .checked_add(additional)
                .ok_or(CollectionAllocErr::CapacityOverflow)?;
            let raw_cap = self.resize_policy.try_raw_capacity(min_cap)?;
            self.try_resize(raw_cap, fallibility)?;
        } else if self.table.tag() && remaining <= self.len() {
            // Probe sequence is too long and table is half full,
            // resize early to reduce probing length.
            let new_capacity = self.table.capacity() * 2;
            self.try_resize(new_capacity, fallibility)?;
        }
        Ok(())
    }

    /// Resizes the internal vectors to a new capacity. It's your
    /// responsibility to:
    ///   1) Ensure `new_raw_cap` is enough for all the elements, accounting
    ///      for the load factor.
    ///   2) Ensure `new_raw_cap` is a power of two or zero.
    #[inline(never)]
    #[cold]
    fn try_resize(
        &mut self,
        new_raw_cap: usize,
        fallibility: Fallibility,
    ) -> Result<(), CollectionAllocErr> {
        assert!(self.table.size() <= new_raw_cap);
        assert!(new_raw_cap.is_power_of_two() || new_raw_cap == 0);

        let mut old_table = replace(
            &mut self.table,
            match fallibility {
                Infallible => RawTable::new(new_raw_cap),
                Fallible => RawTable::try_new(new_raw_cap)?,
            }
        );
        let old_size = old_table.size();

        if old_table.size() == 0 {
            return Ok(());
        }

        let mut bucket = Bucket::head_bucket(&mut old_table);

        // This is how the buckets might be laid out in memory:
        // ($ marks an initialized bucket)
        //  ________________
        // |$$$_$$$$$$_$$$$$|
        //
        // But we've skipped the entire initial cluster of buckets
        // and will continue iteration in this order:
        //  ________________
        //     |$$$$$$_$$$$$
        //                  ^ wrap around once end is reached
        //  ________________
        //  $$$_____________|
        //    ^ exit once table.size == 0
        loop {
            bucket = match bucket.peek() {
                Full(bucket) => {
                    let h = bucket.hash();
                    let (b, k, v) = bucket.take();
                    self.insert_hashed_ordered(h, k, v);
                    if b.table().size() == 0 {
                        break;
                    }
                    b.into_bucket()
                }
                Empty(b) => b.into_bucket(),
            };
            bucket.next();
        }

        assert_eq!(self.table.size(), old_size);
        Ok(())
    }

    /// Shrinks the capacity of the map as much as possible. It will drop
    /// down as much as possible while maintaining the internal rules
    /// and possibly leaving some space in accordance with the resize policy.
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::HashMap;
    ///
    /// let mut map: HashMap<i32, i32> = HashMap::with_capacity(100);
    /// map.insert(1, 2);
    /// map.insert(3, 4);
    /// assert!(map.capacity() >= 100);
    /// map.shrink_to_fit();
    /// assert!(map.capacity() >= 2);
    /// ```
    #[stable(feature = "rust1", since = "1.0.0")]
    pub fn shrink_to_fit(&mut self) {
        let new_raw_cap = self.resize_policy.raw_capacity(self.len());
        if self.raw_capacity() != new_raw_cap {
            let old_table = replace(&mut self.table, RawTable::new(new_raw_cap));
            let old_size = old_table.size();

            // Shrink the table. Naive algorithm for resizing:
            for (h, k, v) in old_table.into_iter() {
                self.insert_hashed_nocheck(h, k, v);
            }

            debug_assert_eq!(self.table.size(), old_size);
        }
    }

    /// Shrinks the capacity of the map with a lower limit. It will drop
    /// down no lower than the supplied limit while maintaining the internal rules
    /// and possibly leaving some space in accordance with the resize policy.
    ///
    /// Panics if the current capacity is smaller than the supplied
    /// minimum capacity.
    ///
    /// # Examples
    ///
    /// ```
    /// #![feature(shrink_to)]
    /// use std::collections::HashMap;
    ///
    /// let mut map: HashMap<i32, i32> = HashMap::with_capacity(100);
    /// map.insert(1, 2);
    /// map.insert(3, 4);
    /// assert!(map.capacity() >= 100);
    /// map.shrink_to(10);
    /// assert!(map.capacity() >= 10);
    /// map.shrink_to(0);
    /// assert!(map.capacity() >= 2);
    /// ```
    #[unstable(feature = "shrink_to", reason = "new API", issue="0")]
    pub fn shrink_to(&mut self, min_capacity: usize) {
        assert!(self.capacity() >= min_capacity, "Tried to shrink to a larger capacity");

        let new_raw_cap = self.resize_policy.raw_capacity(max(self.len(), min_capacity));
        if self.raw_capacity() != new_raw_cap {
            let old_table = replace(&mut self.table, RawTable::new(new_raw_cap));
            let old_size = old_table.size();

            // Shrink the table. Naive algorithm for resizing:
            for (h, k, v) in old_table.into_iter() {
                self.insert_hashed_nocheck(h, k, v);
            }

            debug_assert_eq!(self.table.size(), old_size);
        }
    }

    /// Insert a pre-hashed key-value pair, without first checking
    /// that there's enough room in the buckets. Returns a reference to the
    /// newly insert value.
    ///
    /// If the key already exists, the hashtable will be returned untouched
    /// and a reference to the existing element will be returned.
    fn insert_hashed_nocheck(&mut self, hash: SafeHash, k: K, v: V) -> Option<V> {
        let entry = search_hashed(&mut self.table, hash, |key| *key == k).into_entry(k);
        match entry {
            Some(Occupied(mut elem)) => Some(elem.insert(v)),
            Some(Vacant(elem)) => {
                elem.insert(v);
                None
            }
            None => unreachable!(),
        }
    }

    /// An iterator visiting all keys in arbitrary order.
    /// The iterator element type is `&'a K`.
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::HashMap;
    ///
    /// let mut map = HashMap::new();
    /// map.insert("a", 1);
    /// map.insert("b", 2);
    /// map.insert("c", 3);
    ///
    /// for key in map.keys() {
    ///     println!("{}", key);
    /// }
    /// ```
    #[stable(feature = "rust1", since = "1.0.0")]
    pub fn keys(&self) -> Keys<K, V> {
        Keys { inner: self.iter() }
    }

    /// An iterator visiting all values in arbitrary order.
    /// The iterator element type is `&'a V`.
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::HashMap;
    ///
    /// let mut map = HashMap::new();
    /// map.insert("a", 1);
    /// map.insert("b", 2);
    /// map.insert("c", 3);
    ///
    /// for val in map.values() {
    ///     println!("{}", val);
    /// }
    /// ```
    #[stable(feature = "rust1", since = "1.0.0")]
    pub fn values(&self) -> Values<K, V> {
        Values { inner: self.iter() }
    }

    /// An iterator visiting all values mutably in arbitrary order.
    /// The iterator element type is `&'a mut V`.
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::HashMap;
    ///
    /// let mut map = HashMap::new();
    ///
    /// map.insert("a", 1);
    /// map.insert("b", 2);
    /// map.insert("c", 3);
    ///
    /// for val in map.values_mut() {
    ///     *val = *val + 10;
    /// }
    ///
    /// for val in map.values() {
    ///     println!("{}", val);
    /// }
    /// ```
    #[stable(feature = "map_values_mut", since = "1.10.0")]
    pub fn values_mut(&mut self) -> ValuesMut<K, V> {
        ValuesMut { inner: self.iter_mut() }
    }

    /// An iterator visiting all key-value pairs in arbitrary order.
    /// The iterator element type is `(&'a K, &'a V)`.
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::HashMap;
    ///
    /// let mut map = HashMap::new();
    /// map.insert("a", 1);
    /// map.insert("b", 2);
    /// map.insert("c", 3);
    ///
    /// for (key, val) in map.iter() {
    ///     println!("key: {} val: {}", key, val);
    /// }
    /// ```
    #[stable(feature = "rust1", since = "1.0.0")]
    pub fn iter(&self) -> Iter<K, V> {
        Iter { inner: self.table.iter() }
    }

    /// An iterator visiting all key-value pairs in arbitrary order,
    /// with mutable references to the values.
    /// The iterator element type is `(&'a K, &'a mut V)`.
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::HashMap;
    ///
    /// let mut map = HashMap::new();
    /// map.insert("a", 1);
    /// map.insert("b", 2);
    /// map.insert("c", 3);
    ///
    /// // Update all values
    /// for (_, val) in map.iter_mut() {
    ///     *val *= 2;
    /// }
    ///
    /// for (key, val) in &map {
    ///     println!("key: {} val: {}", key, val);
    /// }
    /// ```
    #[stable(feature = "rust1", since = "1.0.0")]
    pub fn iter_mut(&mut self) -> IterMut<K, V> {
        IterMut { inner: self.table.iter_mut() }
    }

    /// Gets the given key's corresponding entry in the map for in-place manipulation.
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::HashMap;
    ///
    /// let mut letters = HashMap::new();
    ///
    /// for ch in "a short treatise on fungi".chars() {
    ///     let counter = letters.entry(ch).or_insert(0);
    ///     *counter += 1;
    /// }
    ///
    /// assert_eq!(letters[&'s'], 2);
    /// assert_eq!(letters[&'t'], 3);
    /// assert_eq!(letters[&'u'], 1);
    /// assert_eq!(letters.get(&'y'), None);
    /// ```
    #[stable(feature = "rust1", since = "1.0.0")]
    pub fn entry(&mut self, key: K) -> Entry<K, V> {
        // Gotta resize now.
        self.reserve(1);
        let hash = self.make_hash(&key);
        search_hashed(&mut self.table, hash, |q| q.eq(&key))
            .into_entry(key).expect("unreachable")
    }

    /// Returns the number of elements in the map.
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::HashMap;
    ///
    /// let mut a = HashMap::new();
    /// assert_eq!(a.len(), 0);
    /// a.insert(1, "a");
    /// assert_eq!(a.len(), 1);
    /// ```
    #[stable(feature = "rust1", since = "1.0.0")]
    pub fn len(&self) -> usize {
        self.table.size()
    }

    /// Returns true if the map contains no elements.
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::HashMap;
    ///
    /// let mut a = HashMap::new();
    /// assert!(a.is_empty());
    /// a.insert(1, "a");
    /// assert!(!a.is_empty());
    /// ```
    #[inline]
    #[stable(feature = "rust1", since = "1.0.0")]
    pub fn is_empty(&self) -> bool {
        self.len() == 0
    }

    /// Clears the map, returning all key-value pairs as an iterator. Keeps the
    /// allocated memory for reuse.
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::HashMap;
    ///
    /// let mut a = HashMap::new();
    /// a.insert(1, "a");
    /// a.insert(2, "b");
    ///
    /// for (k, v) in a.drain().take(1) {
    ///     assert!(k == 1 || k == 2);
    ///     assert!(v == "a" || v == "b");
    /// }
    ///
    /// assert!(a.is_empty());
    /// ```
    #[inline]
    #[stable(feature = "drain", since = "1.6.0")]
    pub fn drain(&mut self) -> Drain<K, V> {
        Drain { inner: self.table.drain() }
    }

    /// Clears the map, removing all key-value pairs. Keeps the allocated memory
    /// for reuse.
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::HashMap;
    ///
    /// let mut a = HashMap::new();
    /// a.insert(1, "a");
    /// a.clear();
    /// assert!(a.is_empty());
    /// ```
    #[stable(feature = "rust1", since = "1.0.0")]
    #[inline]
    pub fn clear(&mut self) {
        self.drain();
    }

    /// Returns a reference to the value corresponding to the key.
    ///
    /// The key may be any borrowed form of the map's key type, but
    /// [`Hash`] and [`Eq`] on the borrowed form *must* match those for
    /// the key type.
    ///
    /// [`Eq`]: ../../std/cmp/trait.Eq.html
    /// [`Hash`]: ../../std/hash/trait.Hash.html
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::HashMap;
    ///
    /// let mut map = HashMap::new();
    /// map.insert(1, "a");
    /// assert_eq!(map.get(&1), Some(&"a"));
    /// assert_eq!(map.get(&2), None);
    /// ```
    #[stable(feature = "rust1", since = "1.0.0")]
    #[inline]
    pub fn get<Q: ?Sized>(&self, k: &Q) -> Option<&V>
        where K: Borrow<Q>,
              Q: Hash + Eq
    {
        self.search(k).map(|bucket| bucket.into_refs().1)
    }

    /// Returns the key-value pair corresponding to the supplied key.
    ///
    /// The supplied key may be any borrowed form of the map's key type, but
    /// [`Hash`] and [`Eq`] on the borrowed form *must* match those for
    /// the key type.
    ///
    /// [`Eq`]: ../../std/cmp/trait.Eq.html
    /// [`Hash`]: ../../std/hash/trait.Hash.html
    ///
    /// # Examples
    ///
    /// ```
    /// #![feature(map_get_key_value)]
    /// use std::collections::HashMap;
    ///
    /// let mut map = HashMap::new();
    /// map.insert(1, "a");
    /// assert_eq!(map.get_key_value(&1), Some((&1, &"a")));
    /// assert_eq!(map.get_key_value(&2), None);
    /// ```
    #[unstable(feature = "map_get_key_value", issue = "49347")]
    pub fn get_key_value<Q: ?Sized>(&self, k: &Q) -> Option<(&K, &V)>
        where K: Borrow<Q>,
              Q: Hash + Eq
    {
        self.search(k).map(|bucket| bucket.into_refs())
    }

    /// Returns true if the map contains a value for the specified key.
    ///
    /// The key may be any borrowed form of the map's key type, but
    /// [`Hash`] and [`Eq`] on the borrowed form *must* match those for
    /// the key type.
    ///
    /// [`Eq`]: ../../std/cmp/trait.Eq.html
    /// [`Hash`]: ../../std/hash/trait.Hash.html
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::HashMap;
    ///
    /// let mut map = HashMap::new();
    /// map.insert(1, "a");
    /// assert_eq!(map.contains_key(&1), true);
    /// assert_eq!(map.contains_key(&2), false);
    /// ```
    #[stable(feature = "rust1", since = "1.0.0")]
    pub fn contains_key<Q: ?Sized>(&self, k: &Q) -> bool
        where K: Borrow<Q>,
              Q: Hash + Eq
    {
        self.search(k).is_some()
    }

    /// Returns a mutable reference to the value corresponding to the key.
    ///
    /// The key may be any borrowed form of the map's key type, but
    /// [`Hash`] and [`Eq`] on the borrowed form *must* match those for
    /// the key type.
    ///
    /// [`Eq`]: ../../std/cmp/trait.Eq.html
    /// [`Hash`]: ../../std/hash/trait.Hash.html
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::HashMap;
    ///
    /// let mut map = HashMap::new();
    /// map.insert(1, "a");
    /// if let Some(x) = map.get_mut(&1) {
    ///     *x = "b";
    /// }
    /// assert_eq!(map[&1], "b");
    /// ```
    #[stable(feature = "rust1", since = "1.0.0")]
    pub fn get_mut<Q: ?Sized>(&mut self, k: &Q) -> Option<&mut V>
        where K: Borrow<Q>,
              Q: Hash + Eq
    {
        self.search_mut(k).map(|bucket| bucket.into_mut_refs().1)
    }

    /// Inserts a key-value pair into the map.
    ///
    /// If the map did not have this key present, [`None`] is returned.
    ///
    /// If the map did have this key present, the value is updated, and the old
    /// value is returned. The key is not updated, though; this matters for
    /// types that can be `==` without being identical. See the [module-level
    /// documentation] for more.
    ///
    /// [`None`]: ../../std/option/enum.Option.html#variant.None
    /// [module-level documentation]: index.html#insert-and-complex-keys
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::HashMap;
    ///
    /// let mut map = HashMap::new();
    /// assert_eq!(map.insert(37, "a"), None);
    /// assert_eq!(map.is_empty(), false);
    ///
    /// map.insert(37, "b");
    /// assert_eq!(map.insert(37, "c"), Some("b"));
    /// assert_eq!(map[&37], "c");
    /// ```
    #[stable(feature = "rust1", since = "1.0.0")]
    pub fn insert(&mut self, k: K, v: V) -> Option<V> {
        let hash = self.make_hash(&k);
        self.reserve(1);
        self.insert_hashed_nocheck(hash, k, v)
    }

    /// Removes a key from the map, returning the value at the key if the key
    /// was previously in the map.
    ///
    /// The key may be any borrowed form of the map's key type, but
    /// [`Hash`] and [`Eq`] on the borrowed form *must* match those for
    /// the key type.
    ///
    /// [`Eq`]: ../../std/cmp/trait.Eq.html
    /// [`Hash`]: ../../std/hash/trait.Hash.html
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::HashMap;
    ///
    /// let mut map = HashMap::new();
    /// map.insert(1, "a");
    /// assert_eq!(map.remove(&1), Some("a"));
    /// assert_eq!(map.remove(&1), None);
    /// ```
    #[stable(feature = "rust1", since = "1.0.0")]
    pub fn remove<Q: ?Sized>(&mut self, k: &Q) -> Option<V>
        where K: Borrow<Q>,
              Q: Hash + Eq
    {
        self.search_mut(k).map(|bucket| pop_internal(bucket).1)
    }

    /// Removes a key from the map, returning the stored key and value if the
    /// key was previously in the map.
    ///
    /// The key may be any borrowed form of the map's key type, but
    /// [`Hash`] and [`Eq`] on the borrowed form *must* match those for
    /// the key type.
    ///
    /// [`Eq`]: ../../std/cmp/trait.Eq.html
    /// [`Hash`]: ../../std/hash/trait.Hash.html
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::HashMap;
    ///
    /// # fn main() {
    /// let mut map = HashMap::new();
    /// map.insert(1, "a");
    /// assert_eq!(map.remove_entry(&1), Some((1, "a")));
    /// assert_eq!(map.remove(&1), None);
    /// # }
    /// ```
    #[stable(feature = "hash_map_remove_entry", since = "1.27.0")]
    pub fn remove_entry<Q: ?Sized>(&mut self, k: &Q) -> Option<(K, V)>
        where K: Borrow<Q>,
              Q: Hash + Eq
    {
        self.search_mut(k)
            .map(|bucket| {
                let (k, v, _) = pop_internal(bucket);
                (k, v)
            })
    }

    /// Retains only the elements specified by the predicate.
    ///
    /// In other words, remove all pairs `(k, v)` such that `f(&k,&mut v)` returns `false`.
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::HashMap;
    ///
    /// let mut map: HashMap<i32, i32> = (0..8).map(|x|(x, x*10)).collect();
    /// map.retain(|&k, _| k % 2 == 0);
    /// assert_eq!(map.len(), 4);
    /// ```
    #[stable(feature = "retain_hash_collection", since = "1.18.0")]
    pub fn retain<F>(&mut self, mut f: F)
        where F: FnMut(&K, &mut V) -> bool
    {
        if self.table.size() == 0 {
            return;
        }
        let mut elems_left = self.table.size();
        let mut bucket = Bucket::head_bucket(&mut self.table);
        bucket.prev();
        let start_index = bucket.index();
        while elems_left != 0 {
            bucket = match bucket.peek() {
                Full(mut full) => {
                    elems_left -= 1;
                    let should_remove = {
                        let (k, v) = full.read_mut();
                        !f(k, v)
                    };
                    if should_remove {
                        let prev_raw = full.raw();
                        let (_, _, t) = pop_internal(full);
                        Bucket::new_from(prev_raw, t)
                    } else {
                        full.into_bucket()
                    }
                },
                Empty(b) => {
                    b.into_bucket()
                }
            };
            bucket.prev();  // reverse iteration
            debug_assert!(elems_left == 0 || bucket.index() != start_index);
        }
    }
}

#[stable(feature = "rust1", since = "1.0.0")]
impl<K, V, S> PartialEq for HashMap<K, V, S>
    where K: Eq + Hash,
          V: PartialEq,
          S: BuildHasher
{
    fn eq(&self, other: &HashMap<K, V, S>) -> bool {
        if self.len() != other.len() {
            return false;
        }

        self.iter().all(|(key, value)| other.get(key).map_or(false, |v| *value == *v))
    }
}

#[stable(feature = "rust1", since = "1.0.0")]
impl<K, V, S> Eq for HashMap<K, V, S>
    where K: Eq + Hash,
          V: Eq,
          S: BuildHasher
{
}

#[stable(feature = "rust1", since = "1.0.0")]
impl<K, V, S> Debug for HashMap<K, V, S>
    where K: Eq + Hash + Debug,
          V: Debug,
          S: BuildHasher
{
    fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
        f.debug_map().entries(self.iter()).finish()
    }
}

#[stable(feature = "rust1", since = "1.0.0")]
impl<K, V, S> Default for HashMap<K, V, S>
    where K: Eq + Hash,
          S: BuildHasher + Default
{
    /// Creates an empty `HashMap<K, V, S>`, with the `Default` value for the hasher.
    fn default() -> HashMap<K, V, S> {
        HashMap::with_hasher(Default::default())
    }
}

#[stable(feature = "rust1", since = "1.0.0")]
impl<'a, K, Q: ?Sized, V, S> Index<&'a Q> for HashMap<K, V, S>
    where K: Eq + Hash + Borrow<Q>,
          Q: Eq + Hash,
          S: BuildHasher
{
    type Output = V;

    /// Returns a reference to the value corresponding to the supplied key.
    ///
    /// # Panics
    ///
    /// Panics if the key is not present in the `HashMap`.
    #[inline]
    fn index(&self, key: &Q) -> &V {
        self.get(key).expect("no entry found for key")
    }
}

/// An iterator over the entries of a `HashMap`.
///
/// This `struct` is created by the [`iter`] method on [`HashMap`]. See its
/// documentation for more.
///
/// [`iter`]: struct.HashMap.html#method.iter
/// [`HashMap`]: struct.HashMap.html
#[stable(feature = "rust1", since = "1.0.0")]
pub struct Iter<'a, K: 'a, V: 'a> {
    inner: table::Iter<'a, K, V>,
}

// FIXME(#26925) Remove in favor of `#[derive(Clone)]`
#[stable(feature = "rust1", since = "1.0.0")]
impl<'a, K, V> Clone for Iter<'a, K, V> {
    fn clone(&self) -> Iter<'a, K, V> {
        Iter { inner: self.inner.clone() }
    }
}

#[stable(feature = "std_debug", since = "1.16.0")]
impl<'a, K: Debug, V: Debug> fmt::Debug for Iter<'a, K, V> {
    fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
        f.debug_list()
            .entries(self.clone())
            .finish()
    }
}

/// A mutable iterator over the entries of a `HashMap`.
///
/// This `struct` is created by the [`iter_mut`] method on [`HashMap`]. See its
/// documentation for more.
///
/// [`iter_mut`]: struct.HashMap.html#method.iter_mut
/// [`HashMap`]: struct.HashMap.html
#[stable(feature = "rust1", since = "1.0.0")]
pub struct IterMut<'a, K: 'a, V: 'a> {
    inner: table::IterMut<'a, K, V>,
}

/// An owning iterator over the entries of a `HashMap`.
///
/// This `struct` is created by the [`into_iter`] method on [`HashMap`][`HashMap`]
/// (provided by the `IntoIterator` trait). See its documentation for more.
///
/// [`into_iter`]: struct.HashMap.html#method.into_iter
/// [`HashMap`]: struct.HashMap.html
#[stable(feature = "rust1", since = "1.0.0")]
pub struct IntoIter<K, V> {
    pub(super) inner: table::IntoIter<K, V>,
}

/// An iterator over the keys of a `HashMap`.
///
/// This `struct` is created by the [`keys`] method on [`HashMap`]. See its
/// documentation for more.
///
/// [`keys`]: struct.HashMap.html#method.keys
/// [`HashMap`]: struct.HashMap.html
#[stable(feature = "rust1", since = "1.0.0")]
pub struct Keys<'a, K: 'a, V: 'a> {
    inner: Iter<'a, K, V>,
}

// FIXME(#26925) Remove in favor of `#[derive(Clone)]`
#[stable(feature = "rust1", since = "1.0.0")]
impl<'a, K, V> Clone for Keys<'a, K, V> {
    fn clone(&self) -> Keys<'a, K, V> {
        Keys { inner: self.inner.clone() }
    }
}

#[stable(feature = "std_debug", since = "1.16.0")]
impl<'a, K: Debug, V> fmt::Debug for Keys<'a, K, V> {
    fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
        f.debug_list()
            .entries(self.clone())
            .finish()
    }
}

/// An iterator over the values of a `HashMap`.
///
/// This `struct` is created by the [`values`] method on [`HashMap`]. See its
/// documentation for more.
///
/// [`values`]: struct.HashMap.html#method.values
/// [`HashMap`]: struct.HashMap.html
#[stable(feature = "rust1", since = "1.0.0")]
pub struct Values<'a, K: 'a, V: 'a> {
    inner: Iter<'a, K, V>,
}

// FIXME(#26925) Remove in favor of `#[derive(Clone)]`
#[stable(feature = "rust1", since = "1.0.0")]
impl<'a, K, V> Clone for Values<'a, K, V> {
    fn clone(&self) -> Values<'a, K, V> {
        Values { inner: self.inner.clone() }
    }
}

#[stable(feature = "std_debug", since = "1.16.0")]
impl<'a, K, V: Debug> fmt::Debug for Values<'a, K, V> {
    fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
        f.debug_list()
            .entries(self.clone())
            .finish()
    }
}

/// A draining iterator over the entries of a `HashMap`.
///
/// This `struct` is created by the [`drain`] method on [`HashMap`]. See its
/// documentation for more.
///
/// [`drain`]: struct.HashMap.html#method.drain
/// [`HashMap`]: struct.HashMap.html
#[stable(feature = "drain", since = "1.6.0")]
pub struct Drain<'a, K: 'a, V: 'a> {
    pub(super) inner: table::Drain<'a, K, V>,
}

/// A mutable iterator over the values of a `HashMap`.
///
/// This `struct` is created by the [`values_mut`] method on [`HashMap`]. See its
/// documentation for more.
///
/// [`values_mut`]: struct.HashMap.html#method.values_mut
/// [`HashMap`]: struct.HashMap.html
#[stable(feature = "map_values_mut", since = "1.10.0")]
pub struct ValuesMut<'a, K: 'a, V: 'a> {
    inner: IterMut<'a, K, V>,
}

enum InternalEntry<K, V, M> {
    Occupied { elem: FullBucket<K, V, M> },
    Vacant {
        hash: SafeHash,
        elem: VacantEntryState<K, V, M>,
    },
    TableIsEmpty,
}

impl<K, V, M> InternalEntry<K, V, M> {
    #[inline]
    fn into_occupied_bucket(self) -> Option<FullBucket<K, V, M>> {
        match self {
            InternalEntry::Occupied { elem } => Some(elem),
            _ => None,
        }
    }
}

impl<'a, K, V> InternalEntry<K, V, &'a mut RawTable<K, V>> {
    #[inline]
    fn into_entry(self, key: K) -> Option<Entry<'a, K, V>> {
        match self {
            InternalEntry::Occupied { elem } => {
                Some(Occupied(OccupiedEntry {
                    key: Some(key),
                    elem,
                }))
            }
            InternalEntry::Vacant { hash, elem } => {
                Some(Vacant(VacantEntry {
                    hash,
                    key,
                    elem,
                }))
            }
            InternalEntry::TableIsEmpty => None,
        }
    }
}

/// A view into a single entry in a map, which may either be vacant or occupied.
///
/// This `enum` is constructed from the [`entry`] method on [`HashMap`].
///
/// [`HashMap`]: struct.HashMap.html
/// [`entry`]: struct.HashMap.html#method.entry
#[stable(feature = "rust1", since = "1.0.0")]
pub enum Entry<'a, K: 'a, V: 'a> {
    /// An occupied entry.
    #[stable(feature = "rust1", since = "1.0.0")]
    Occupied(#[stable(feature = "rust1", since = "1.0.0")]
             OccupiedEntry<'a, K, V>),

    /// A vacant entry.
    #[stable(feature = "rust1", since = "1.0.0")]
    Vacant(#[stable(feature = "rust1", since = "1.0.0")]
           VacantEntry<'a, K, V>),
}

#[stable(feature= "debug_hash_map", since = "1.12.0")]
impl<'a, K: 'a + Debug, V: 'a + Debug> Debug for Entry<'a, K, V> {
    fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
        match *self {
            Vacant(ref v) => {
                f.debug_tuple("Entry")
                    .field(v)
                    .finish()
            }
            Occupied(ref o) => {
                f.debug_tuple("Entry")
                    .field(o)
                    .finish()
            }
        }
    }
}

/// A view into an occupied entry in a `HashMap`.
/// It is part of the [`Entry`] enum.
///
/// [`Entry`]: enum.Entry.html
#[stable(feature = "rust1", since = "1.0.0")]
pub struct OccupiedEntry<'a, K: 'a, V: 'a> {
    key: Option<K>,
    elem: FullBucket<K, V, &'a mut RawTable<K, V>>,
}

#[stable(feature= "debug_hash_map", since = "1.12.0")]
impl<'a, K: 'a + Debug, V: 'a + Debug> Debug for OccupiedEntry<'a, K, V> {
    fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
        f.debug_struct("OccupiedEntry")
            .field("key", self.key())
            .field("value", self.get())
            .finish()
    }
}

/// A view into a vacant entry in a `HashMap`.
/// It is part of the [`Entry`] enum.
///
/// [`Entry`]: enum.Entry.html
#[stable(feature = "rust1", since = "1.0.0")]
pub struct VacantEntry<'a, K: 'a, V: 'a> {
    hash: SafeHash,
    key: K,
    elem: VacantEntryState<K, V, &'a mut RawTable<K, V>>,
}

#[stable(feature= "debug_hash_map", since = "1.12.0")]
impl<'a, K: 'a + Debug, V: 'a> Debug for VacantEntry<'a, K, V> {
    fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
        f.debug_tuple("VacantEntry")
            .field(self.key())
            .finish()
    }
}

/// Possible states of a VacantEntry.
enum VacantEntryState<K, V, M> {
    /// The index is occupied, but the key to insert has precedence,
    /// and will kick the current one out on insertion.
    NeqElem(FullBucket<K, V, M>, usize),
    /// The index is genuinely vacant.
    NoElem(EmptyBucket<K, V, M>, usize),
}

#[stable(feature = "rust1", since = "1.0.0")]
impl<'a, K, V, S> IntoIterator for &'a HashMap<K, V, S>
    where K: Eq + Hash,
          S: BuildHasher
{
    type Item = (&'a K, &'a V);
    type IntoIter = Iter<'a, K, V>;

    fn into_iter(self) -> Iter<'a, K, V> {
        self.iter()
    }
}

#[stable(feature = "rust1", since = "1.0.0")]
impl<'a, K, V, S> IntoIterator for &'a mut HashMap<K, V, S>
    where K: Eq + Hash,
          S: BuildHasher
{
    type Item = (&'a K, &'a mut V);
    type IntoIter = IterMut<'a, K, V>;

    fn into_iter(self) -> IterMut<'a, K, V> {
        self.iter_mut()
    }
}

#[stable(feature = "rust1", since = "1.0.0")]
impl<K, V, S> IntoIterator for HashMap<K, V, S>
    where K: Eq + Hash,
          S: BuildHasher
{
    type Item = (K, V);
    type IntoIter = IntoIter<K, V>;

    /// Creates a consuming iterator, that is, one that moves each key-value
    /// pair out of the map in arbitrary order. The map cannot be used after
    /// calling this.
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::HashMap;
    ///
    /// let mut map = HashMap::new();
    /// map.insert("a", 1);
    /// map.insert("b", 2);
    /// map.insert("c", 3);
    ///
    /// // Not possible with .iter()
    /// let vec: Vec<(&str, i32)> = map.into_iter().collect();
    /// ```
    fn into_iter(self) -> IntoIter<K, V> {
        IntoIter { inner: self.table.into_iter() }
    }
}

#[stable(feature = "rust1", since = "1.0.0")]
impl<'a, K, V> Iterator for Iter<'a, K, V> {
    type Item = (&'a K, &'a V);

    #[inline]
    fn next(&mut self) -> Option<(&'a K, &'a V)> {
        self.inner.next()
    }
    #[inline]
    fn size_hint(&self) -> (usize, Option<usize>) {
        self.inner.size_hint()
    }
}
#[stable(feature = "rust1", since = "1.0.0")]
impl<'a, K, V> ExactSizeIterator for Iter<'a, K, V> {
    #[inline]
    fn len(&self) -> usize {
        self.inner.len()
    }
}

#[stable(feature = "fused", since = "1.26.0")]
impl<'a, K, V> FusedIterator for Iter<'a, K, V> {}

#[stable(feature = "rust1", since = "1.0.0")]
impl<'a, K, V> Iterator for IterMut<'a, K, V> {
    type Item = (&'a K, &'a mut V);

    #[inline]
    fn next(&mut self) -> Option<(&'a K, &'a mut V)> {
        self.inner.next()
    }
    #[inline]
    fn size_hint(&self) -> (usize, Option<usize>) {
        self.inner.size_hint()
    }
}
#[stable(feature = "rust1", since = "1.0.0")]
impl<'a, K, V> ExactSizeIterator for IterMut<'a, K, V> {
    #[inline]
    fn len(&self) -> usize {
        self.inner.len()
    }
}
#[stable(feature = "fused", since = "1.26.0")]
impl<'a, K, V> FusedIterator for IterMut<'a, K, V> {}

#[stable(feature = "std_debug", since = "1.16.0")]
impl<'a, K, V> fmt::Debug for IterMut<'a, K, V>
    where K: fmt::Debug,
          V: fmt::Debug,
{
    fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
        f.debug_list()
            .entries(self.inner.iter())
            .finish()
    }
}

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

    #[inline]
    fn next(&mut self) -> Option<(K, V)> {
        self.inner.next().map(|(_, k, v)| (k, v))
    }
    #[inline]
    fn size_hint(&self) -> (usize, Option<usize>) {
        self.inner.size_hint()
    }
}
#[stable(feature = "rust1", since = "1.0.0")]
impl<K, V> ExactSizeIterator for IntoIter<K, V> {
    #[inline]
    fn len(&self) -> usize {
        self.inner.len()
    }
}
#[stable(feature = "fused", since = "1.26.0")]
impl<K, V> FusedIterator for IntoIter<K, V> {}

#[stable(feature = "std_debug", since = "1.16.0")]
impl<K: Debug, V: Debug> fmt::Debug for IntoIter<K, V> {
    fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
        f.debug_list()
            .entries(self.inner.iter())
            .finish()
    }
}

#[stable(feature = "rust1", since = "1.0.0")]
impl<'a, K, V> Iterator for Keys<'a, K, V> {
    type Item = &'a K;

    #[inline]
    fn next(&mut self) -> Option<(&'a K)> {
        self.inner.next().map(|(k, _)| k)
    }
    #[inline]
    fn size_hint(&self) -> (usize, Option<usize>) {
        self.inner.size_hint()
    }
}
#[stable(feature = "rust1", since = "1.0.0")]
impl<'a, K, V> ExactSizeIterator for Keys<'a, K, V> {
    #[inline]
    fn len(&self) -> usize {
        self.inner.len()
    }
}
#[stable(feature = "fused", since = "1.26.0")]
impl<'a, K, V> FusedIterator for Keys<'a, K, V> {}

#[stable(feature = "rust1", since = "1.0.0")]
impl<'a, K, V> Iterator for Values<'a, K, V> {
    type Item = &'a V;

    #[inline]
    fn next(&mut self) -> Option<(&'a V)> {
        self.inner.next().map(|(_, v)| v)
    }
    #[inline]
    fn size_hint(&self) -> (usize, Option<usize>) {
        self.inner.size_hint()
    }
}
#[stable(feature = "rust1", since = "1.0.0")]
impl<'a, K, V> ExactSizeIterator for Values<'a, K, V> {
    #[inline]
    fn len(&self) -> usize {
        self.inner.len()
    }
}
#[stable(feature = "fused", since = "1.26.0")]
impl<'a, K, V> FusedIterator for Values<'a, K, V> {}

#[stable(feature = "map_values_mut", since = "1.10.0")]
impl<'a, K, V> Iterator for ValuesMut<'a, K, V> {
    type Item = &'a mut V;

    #[inline]
    fn next(&mut self) -> Option<(&'a mut V)> {
        self.inner.next().map(|(_, v)| v)
    }
    #[inline]
    fn size_hint(&self) -> (usize, Option<usize>) {
        self.inner.size_hint()
    }
}
#[stable(feature = "map_values_mut", since = "1.10.0")]
impl<'a, K, V> ExactSizeIterator for ValuesMut<'a, K, V> {
    #[inline]
    fn len(&self) -> usize {
        self.inner.len()
    }
}
#[stable(feature = "fused", since = "1.26.0")]
impl<'a, K, V> FusedIterator for ValuesMut<'a, K, V> {}

#[stable(feature = "std_debug", since = "1.16.0")]
impl<'a, K, V> fmt::Debug for ValuesMut<'a, K, V>
    where K: fmt::Debug,
          V: fmt::Debug,
{
    fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
        f.debug_list()
            .entries(self.inner.inner.iter())
            .finish()
    }
}

#[stable(feature = "drain", since = "1.6.0")]
impl<'a, K, V> Iterator for Drain<'a, K, V> {
    type Item = (K, V);

    #[inline]
    fn next(&mut self) -> Option<(K, V)> {
        self.inner.next().map(|(_, k, v)| (k, v))
    }
    #[inline]
    fn size_hint(&self) -> (usize, Option<usize>) {
        self.inner.size_hint()
    }
}
#[stable(feature = "drain", since = "1.6.0")]
impl<'a, K, V> ExactSizeIterator for Drain<'a, K, V> {
    #[inline]
    fn len(&self) -> usize {
        self.inner.len()
    }
}
#[stable(feature = "fused", since = "1.26.0")]
impl<'a, K, V> FusedIterator for Drain<'a, K, V> {}

#[stable(feature = "std_debug", since = "1.16.0")]
impl<'a, K, V> fmt::Debug for Drain<'a, K, V>
    where K: fmt::Debug,
          V: fmt::Debug,
{
    fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
        f.debug_list()
            .entries(self.inner.iter())
            .finish()
    }
}

impl<'a, K, V> Entry<'a, K, V> {
    #[stable(feature = "rust1", since = "1.0.0")]
    /// Ensures a value is in the entry by inserting the default if empty, and returns
    /// a mutable reference to the value in the entry.
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::HashMap;
    ///
    /// let mut map: HashMap<&str, u32> = HashMap::new();
    /// map.entry("poneyland").or_insert(12);
    ///
    /// assert_eq!(map["poneyland"], 12);
    ///
    /// *map.entry("poneyland").or_insert(12) += 10;
    /// assert_eq!(map["poneyland"], 22);
    /// ```
    pub fn or_insert(self, default: V) -> &'a mut V {
        match self {
            Occupied(entry) => entry.into_mut(),
            Vacant(entry) => entry.insert(default),
        }
    }

    #[stable(feature = "rust1", since = "1.0.0")]
    /// Ensures a value is in the entry by inserting the result of the default function if empty,
    /// and returns a mutable reference to the value in the entry.
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::HashMap;
    ///
    /// let mut map: HashMap<&str, String> = HashMap::new();
    /// let s = "hoho".to_string();
    ///
    /// map.entry("poneyland").or_insert_with(|| s);
    ///
    /// assert_eq!(map["poneyland"], "hoho".to_string());
    /// ```
    pub fn or_insert_with<F: FnOnce() -> V>(self, default: F) -> &'a mut V {
        match self {
            Occupied(entry) => entry.into_mut(),
            Vacant(entry) => entry.insert(default()),
        }
    }

    /// Returns a reference to this entry's key.
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::HashMap;
    ///
    /// let mut map: HashMap<&str, u32> = HashMap::new();
    /// assert_eq!(map.entry("poneyland").key(), &"poneyland");
    /// ```
    #[stable(feature = "map_entry_keys", since = "1.10.0")]
    pub fn key(&self) -> &K {
        match *self {
            Occupied(ref entry) => entry.key(),
            Vacant(ref entry) => entry.key(),
        }
    }

    /// Provides in-place mutable access to an occupied entry before any
    /// potential inserts into the map.
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::HashMap;
    ///
    /// let mut map: HashMap<&str, u32> = HashMap::new();
    ///
    /// map.entry("poneyland")
    ///    .and_modify(|e| { *e += 1 })
    ///    .or_insert(42);
    /// assert_eq!(map["poneyland"], 42);
    ///
    /// map.entry("poneyland")
    ///    .and_modify(|e| { *e += 1 })
    ///    .or_insert(42);
    /// assert_eq!(map["poneyland"], 43);
    /// ```
    #[stable(feature = "entry_and_modify", since = "1.26.0")]
    pub fn and_modify<F>(self, f: F) -> Self
        where F: FnOnce(&mut V)
    {
        match self {
            Occupied(mut entry) => {
                f(entry.get_mut());
                Occupied(entry)
            },
            Vacant(entry) => Vacant(entry),
        }
    }

}

impl<'a, K, V: Default> Entry<'a, K, V> {
    #[unstable(feature = "entry_or_default", issue = "44324")]
    /// Ensures a value is in the entry by inserting the default value if empty,
    /// and returns a mutable reference to the value in the entry.
    ///
    /// # Examples
    ///
    /// ```
    /// #![feature(entry_or_default)]
    /// # fn main() {
    /// use std::collections::HashMap;
    ///
    /// let mut map: HashMap<&str, Option<u32>> = HashMap::new();
    /// map.entry("poneyland").or_default();
    ///
    /// assert_eq!(map["poneyland"], None);
    /// # }
    /// ```
    pub fn or_default(self) -> &'a mut V {
        match self {
            Occupied(entry) => entry.into_mut(),
            Vacant(entry) => entry.insert(Default::default()),
        }
    }

}

impl<'a, K, V> OccupiedEntry<'a, K, V> {
    /// Gets a reference to the key in the entry.
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::HashMap;
    ///
    /// let mut map: HashMap<&str, u32> = HashMap::new();
    /// map.entry("poneyland").or_insert(12);
    /// assert_eq!(map.entry("poneyland").key(), &"poneyland");
    /// ```
    #[stable(feature = "map_entry_keys", since = "1.10.0")]
    pub fn key(&self) -> &K {
        self.elem.read().0
    }

    /// Take the ownership of the key and value from the map.
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::HashMap;
    /// use std::collections::hash_map::Entry;
    ///
    /// let mut map: HashMap<&str, u32> = HashMap::new();
    /// map.entry("poneyland").or_insert(12);
    ///
    /// if let Entry::Occupied(o) = map.entry("poneyland") {
    ///     // We delete the entry from the map.
    ///     o.remove_entry();
    /// }
    ///
    /// assert_eq!(map.contains_key("poneyland"), false);
    /// ```
    #[stable(feature = "map_entry_recover_keys2", since = "1.12.0")]
    pub fn remove_entry(self) -> (K, V) {
        let (k, v, _) = pop_internal(self.elem);
        (k, v)
    }

    /// Gets a reference to the value in the entry.
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::HashMap;
    /// use std::collections::hash_map::Entry;
    ///
    /// let mut map: HashMap<&str, u32> = HashMap::new();
    /// map.entry("poneyland").or_insert(12);
    ///
    /// if let Entry::Occupied(o) = map.entry("poneyland") {
    ///     assert_eq!(o.get(), &12);
    /// }
    /// ```
    #[stable(feature = "rust1", since = "1.0.0")]
    pub fn get(&self) -> &V {
        self.elem.read().1
    }

    /// Gets a mutable reference to the value in the entry.
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::HashMap;
    /// use std::collections::hash_map::Entry;
    ///
    /// let mut map: HashMap<&str, u32> = HashMap::new();
    /// map.entry("poneyland").or_insert(12);
    ///
    /// assert_eq!(map["poneyland"], 12);
    /// if let Entry::Occupied(mut o) = map.entry("poneyland") {
    ///      *o.get_mut() += 10;
    /// }
    ///
    /// assert_eq!(map["poneyland"], 22);
    /// ```
    #[stable(feature = "rust1", since = "1.0.0")]
    pub fn get_mut(&mut self) -> &mut V {
        self.elem.read_mut().1
    }

    /// Converts the OccupiedEntry into a mutable reference to the value in the entry
    /// with a lifetime bound to the map itself.
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::HashMap;
    /// use std::collections::hash_map::Entry;
    ///
    /// let mut map: HashMap<&str, u32> = HashMap::new();
    /// map.entry("poneyland").or_insert(12);
    ///
    /// assert_eq!(map["poneyland"], 12);
    /// if let Entry::Occupied(o) = map.entry("poneyland") {
    ///     *o.into_mut() += 10;
    /// }
    ///
    /// assert_eq!(map["poneyland"], 22);
    /// ```
    #[stable(feature = "rust1", since = "1.0.0")]
    pub fn into_mut(self) -> &'a mut V {
        self.elem.into_mut_refs().1
    }

    /// Sets the value of the entry, and returns the entry's old value.
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::HashMap;
    /// use std::collections::hash_map::Entry;
    ///
    /// let mut map: HashMap<&str, u32> = HashMap::new();
    /// map.entry("poneyland").or_insert(12);
    ///
    /// if let Entry::Occupied(mut o) = map.entry("poneyland") {
    ///     assert_eq!(o.insert(15), 12);
    /// }
    ///
    /// assert_eq!(map["poneyland"], 15);
    /// ```
    #[stable(feature = "rust1", since = "1.0.0")]
    pub fn insert(&mut self, mut value: V) -> V {
        let old_value = self.get_mut();
        mem::swap(&mut value, old_value);
        value
    }

    /// Takes the value out of the entry, and returns it.
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::HashMap;
    /// use std::collections::hash_map::Entry;
    ///
    /// let mut map: HashMap<&str, u32> = HashMap::new();
    /// map.entry("poneyland").or_insert(12);
    ///
    /// if let Entry::Occupied(o) = map.entry("poneyland") {
    ///     assert_eq!(o.remove(), 12);
    /// }
    ///
    /// assert_eq!(map.contains_key("poneyland"), false);
    /// ```
    #[stable(feature = "rust1", since = "1.0.0")]
    pub fn remove(self) -> V {
        pop_internal(self.elem).1
    }

    /// Returns a key that was used for search.
    ///
    /// The key was retained for further use.
    fn take_key(&mut self) -> Option<K> {
        self.key.take()
    }

    /// Replaces the entry, returning the old key and value. The new key in the hash map will be
    /// the key used to create this entry.
    ///
    /// # Examples
    ///
    /// ```
    /// #![feature(map_entry_replace)]
    /// use std::collections::hash_map::{Entry, HashMap};
    /// use std::rc::Rc;
    ///
    /// let mut map: HashMap<Rc<String>, u32> = HashMap::new();
    /// map.insert(Rc::new("Stringthing".to_string()), 15);
    ///
    /// let my_key = Rc::new("Stringthing".to_string());
    ///
    /// if let Entry::Occupied(entry) = map.entry(my_key) {
    ///     // Also replace the key with a handle to our other key.
    ///     let (old_key, old_value): (Rc<String>, u32) = entry.replace_entry(16);
    /// }
    ///
    /// ```
    #[unstable(feature = "map_entry_replace", issue = "44286")]
    pub fn replace_entry(mut self, value: V) -> (K, V) {
        let (old_key, old_value) = self.elem.read_mut();

        let old_key = mem::replace(old_key, self.key.unwrap());
        let old_value = mem::replace(old_value, value);

        (old_key, old_value)
    }

    /// Replaces the key in the hash map with the key used to create this entry.
    ///
    /// # Examples
    ///
    /// ```
    /// #![feature(map_entry_replace)]
    /// use std::collections::hash_map::{Entry, HashMap};
    /// use std::rc::Rc;
    ///
    /// let mut map: HashMap<Rc<String>, u32> = HashMap::new();
    /// let mut known_strings: Vec<Rc<String>> = Vec::new();
    ///
    /// // Initialise known strings, run program, etc.
    ///
    /// reclaim_memory(&mut map, &known_strings);
    ///
    /// fn reclaim_memory(map: &mut HashMap<Rc<String>, u32>, known_strings: &[Rc<String>] ) {
    ///     for s in known_strings {
    ///         if let Entry::Occupied(entry) = map.entry(s.clone()) {
    ///             // Replaces the entry's key with our version of it in `known_strings`.
    ///             entry.replace_key();
    ///         }
    ///     }
    /// }
    /// ```
    #[unstable(feature = "map_entry_replace", issue = "44286")]
    pub fn replace_key(mut self) -> K {
        let (old_key, _) = self.elem.read_mut();
        mem::replace(old_key, self.key.unwrap())
    }
}

impl<'a, K: 'a, V: 'a> VacantEntry<'a, K, V> {
    /// Gets a reference to the key that would be used when inserting a value
    /// through the `VacantEntry`.
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::HashMap;
    ///
    /// let mut map: HashMap<&str, u32> = HashMap::new();
    /// assert_eq!(map.entry("poneyland").key(), &"poneyland");
    /// ```
    #[stable(feature = "map_entry_keys", since = "1.10.0")]
    pub fn key(&self) -> &K {
        &self.key
    }

    /// Take ownership of the key.
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::HashMap;
    /// use std::collections::hash_map::Entry;
    ///
    /// let mut map: HashMap<&str, u32> = HashMap::new();
    ///
    /// if let Entry::Vacant(v) = map.entry("poneyland") {
    ///     v.into_key();
    /// }
    /// ```
    #[stable(feature = "map_entry_recover_keys2", since = "1.12.0")]
    pub fn into_key(self) -> K {
        self.key
    }

    /// Sets the value of the entry with the VacantEntry's key,
    /// and returns a mutable reference to it.
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::HashMap;
    /// use std::collections::hash_map::Entry;
    ///
    /// let mut map: HashMap<&str, u32> = HashMap::new();
    ///
    /// if let Entry::Vacant(o) = map.entry("poneyland") {
    ///     o.insert(37);
    /// }
    /// assert_eq!(map["poneyland"], 37);
    /// ```
    #[stable(feature = "rust1", since = "1.0.0")]
    pub fn insert(self, value: V) -> &'a mut V {
        let b = match self.elem {
            NeqElem(mut bucket, disp) => {
                if disp >= DISPLACEMENT_THRESHOLD {
                    bucket.table_mut().set_tag(true);
                }
                robin_hood(bucket, disp, self.hash, self.key, value)
            },
            NoElem(mut bucket, disp) => {
                if disp >= DISPLACEMENT_THRESHOLD {
                    bucket.table_mut().set_tag(true);
                }
                bucket.put(self.hash, self.key, value)
            },
        };
        b.into_mut_refs().1
    }
}

#[stable(feature = "rust1", since = "1.0.0")]
impl<K, V, S> FromIterator<(K, V)> for HashMap<K, V, S>
    where K: Eq + Hash,
          S: BuildHasher + Default
{
    fn from_iter<T: IntoIterator<Item = (K, V)>>(iter: T) -> HashMap<K, V, S> {
        let mut map = HashMap::with_hasher(Default::default());
        map.extend(iter);
        map
    }
}

#[stable(feature = "rust1", since = "1.0.0")]
impl<K, V, S> Extend<(K, V)> for HashMap<K, V, S>
    where K: Eq + Hash,
          S: BuildHasher
{
    fn extend<T: IntoIterator<Item = (K, V)>>(&mut self, iter: T) {
        // Keys may be already present or show multiple times in the iterator.
        // Reserve the entire hint lower bound if the map is empty.
        // Otherwise reserve half the hint (rounded up), so the map
        // will only resize twice in the worst case.
        let iter = iter.into_iter();
        let reserve = if self.is_empty() {
            iter.size_hint().0
        } else {
            (iter.size_hint().0 + 1) / 2
        };
        self.reserve(reserve);
        for (k, v) in iter {
            self.insert(k, v);
        }
    }
}

#[stable(feature = "hash_extend_copy", since = "1.4.0")]
impl<'a, K, V, S> Extend<(&'a K, &'a V)> for HashMap<K, V, S>
    where K: Eq + Hash + Copy,
          V: Copy,
          S: BuildHasher
{
    fn extend<T: IntoIterator<Item = (&'a K, &'a V)>>(&mut self, iter: T) {
        self.extend(iter.into_iter().map(|(&key, &value)| (key, value)));
    }
}

/// `RandomState` is the default state for [`HashMap`] types.
///
/// A particular instance `RandomState` will create the same instances of
/// [`Hasher`], but the hashers created by two different `RandomState`
/// instances are unlikely to produce the same result for the same values.
///
/// [`HashMap`]: struct.HashMap.html
/// [`Hasher`]: ../../hash/trait.Hasher.html
///
/// # Examples
///
/// ```
/// use std::collections::HashMap;
/// use std::collections::hash_map::RandomState;
///
/// let s = RandomState::new();
/// let mut map = HashMap::with_hasher(s);
/// map.insert(1, 2);
/// ```
#[derive(Clone)]
#[stable(feature = "hashmap_build_hasher", since = "1.7.0")]
pub struct RandomState {
    k0: u64,
    k1: u64,
}

impl RandomState {
    /// Constructs a new `RandomState` that is initialized with random keys.
    ///
    /// # Examples
    ///
    /// ```
    /// use std::collections::hash_map::RandomState;
    ///
    /// let s = RandomState::new();
    /// ```
    #[inline]
    #[allow(deprecated)]
    // rand
    #[stable(feature = "hashmap_build_hasher", since = "1.7.0")]
    pub fn new() -> RandomState {
        // Historically this function did not cache keys from the OS and instead
        // simply always called `rand::thread_rng().gen()` twice. In #31356 it
        // was discovered, however, that because we re-seed the thread-local RNG
        // from the OS periodically that this can cause excessive slowdown when
        // many hash maps are created on a thread. To solve this performance
        // trap we cache the first set of randomly generated keys per-thread.
        //
        // Later in #36481 it was discovered that exposing a deterministic
        // iteration order allows a form of DOS attack. To counter that we
        // increment one of the seeds on every RandomState creation, giving
        // every corresponding HashMap a different iteration order.
        thread_local!(static KEYS: Cell<(u64, u64)> = {
            Cell::new(sys::hashmap_random_keys())
        });

        KEYS.with(|keys| {
            let (k0, k1) = keys.get();
            keys.set((k0.wrapping_add(1), k1));
            RandomState { k0: k0, k1: k1 }
        })
    }
}

#[stable(feature = "hashmap_build_hasher", since = "1.7.0")]
impl BuildHasher for RandomState {
    type Hasher = DefaultHasher;
    #[inline]
    #[allow(deprecated)]
    fn build_hasher(&self) -> DefaultHasher {
        DefaultHasher(SipHasher13::new_with_keys(self.k0, self.k1))
    }
}

/// The default [`Hasher`] used by [`RandomState`].
///
/// The internal algorithm is not specified, and so it and its hashes should
/// not be relied upon over releases.
///
/// [`RandomState`]: struct.RandomState.html
/// [`Hasher`]: ../../hash/trait.Hasher.html
#[stable(feature = "hashmap_default_hasher", since = "1.13.0")]
#[allow(deprecated)]
#[derive(Clone, Debug)]
pub struct DefaultHasher(SipHasher13);

impl DefaultHasher {
    /// Creates a new `DefaultHasher`.
    ///
    /// This hasher is not guaranteed to be the same as all other
    /// `DefaultHasher` instances, but is the same as all other `DefaultHasher`
    /// instances created through `new` or `default`.
    #[stable(feature = "hashmap_default_hasher", since = "1.13.0")]
    #[allow(deprecated)]
    pub fn new() -> DefaultHasher {
        DefaultHasher(SipHasher13::new_with_keys(0, 0))
    }
}

#[stable(feature = "hashmap_default_hasher", since = "1.13.0")]
impl Default for DefaultHasher {
    /// Creates a new `DefaultHasher` using [`new`]. See its documentation for more.
    ///
    /// [`new`]: #method.new
    fn default() -> DefaultHasher {
        DefaultHasher::new()
    }
}

#[stable(feature = "hashmap_default_hasher", since = "1.13.0")]
impl Hasher for DefaultHasher {
    #[inline]
    fn write(&mut self, msg: &[u8]) {
        self.0.write(msg)
    }

    #[inline]
    fn finish(&self) -> u64 {
        self.0.finish()
    }
}

#[stable(feature = "hashmap_build_hasher", since = "1.7.0")]
impl Default for RandomState {
    /// Constructs a new `RandomState`.
    #[inline]
    fn default() -> RandomState {
        RandomState::new()
    }
}

#[stable(feature = "std_debug", since = "1.16.0")]
impl fmt::Debug for RandomState {
    fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
        f.pad("RandomState { .. }")
    }
}

impl<K, S, Q: ?Sized> super::Recover<Q> for HashMap<K, (), S>
    where K: Eq + Hash + Borrow<Q>,
          S: BuildHasher,
          Q: Eq + Hash
{
    type Key = K;

    #[inline]
    fn get(&self, key: &Q) -> Option<&K> {
        self.search(key).map(|bucket| bucket.into_refs().0)
    }

    fn take(&mut self, key: &Q) -> Option<K> {
        self.search_mut(key).map(|bucket| pop_internal(bucket).0)
    }

    #[inline]
    fn replace(&mut self, key: K) -> Option<K> {
        self.reserve(1);

        match self.entry(key) {
            Occupied(mut occupied) => {
                let key = occupied.take_key().unwrap();
                Some(mem::replace(occupied.elem.read_mut().0, key))
            }
            Vacant(vacant) => {
                vacant.insert(());
                None
            }
        }
    }
}

#[allow(dead_code)]
fn assert_covariance() {
    fn map_key<'new>(v: HashMap<&'static str, u8>) -> HashMap<&'new str, u8> {
        v
    }
    fn map_val<'new>(v: HashMap<u8, &'static str>) -> HashMap<u8, &'new str> {
        v
    }
    fn iter_key<'a, 'new>(v: Iter<'a, &'static str, u8>) -> Iter<'a, &'new str, u8> {
        v
    }
    fn iter_val<'a, 'new>(v: Iter<'a, u8, &'static str>) -> Iter<'a, u8, &'new str> {
        v
    }
    fn into_iter_key<'new>(v: IntoIter<&'static str, u8>) -> IntoIter<&'new str, u8> {
        v
    }
    fn into_iter_val<'new>(v: IntoIter<u8, &'static str>) -> IntoIter<u8, &'new str> {
        v
    }
    fn keys_key<'a, 'new>(v: Keys<'a, &'static str, u8>) -> Keys<'a, &'new str, u8> {
        v
    }
    fn keys_val<'a, 'new>(v: Keys<'a, u8, &'static str>) -> Keys<'a, u8, &'new str> {
        v
    }
    fn values_key<'a, 'new>(v: Values<'a, &'static str, u8>) -> Values<'a, &'new str, u8> {
        v
    }
    fn values_val<'a, 'new>(v: Values<'a, u8, &'static str>) -> Values<'a, u8, &'new str> {
        v
    }
    fn drain<'new>(d: Drain<'static, &'static str, &'static str>)
                   -> Drain<'new, &'new str, &'new str> {
        d
    }
}

#[cfg(test)]
mod test_map {
    use super::HashMap;
    use super::Entry::{Occupied, Vacant};
    use super::RandomState;
    use cell::RefCell;
    use rand::{thread_rng, Rng};
    use realstd::collections::CollectionAllocErr::*;
    use realstd::mem::size_of;
    use realstd::usize;

    #[test]
    fn test_zero_capacities() {
        type HM = HashMap<i32, i32>;

        let m = HM::new();
        assert_eq!(m.capacity(), 0);

        let m = HM::default();
        assert_eq!(m.capacity(), 0);

        let m = HM::with_hasher(RandomState::new());
        assert_eq!(m.capacity(), 0);

        let m = HM::with_capacity(0);
        assert_eq!(m.capacity(), 0);

        let m = HM::with_capacity_and_hasher(0, RandomState::new());
        assert_eq!(m.capacity(), 0);

        let mut m = HM::new();
        m.insert(1, 1);
        m.insert(2, 2);
        m.remove(&1);
        m.remove(&2);
        m.shrink_to_fit();
        assert_eq!(m.capacity(), 0);

        let mut m = HM::new();
        m.reserve(0);
        assert_eq!(m.capacity(), 0);
    }

    #[test]
    fn test_create_capacity_zero() {
        let mut m = HashMap::with_capacity(0);

        assert!(m.insert(1, 1).is_none());

        assert!(m.contains_key(&1));
        assert!(!m.contains_key(&0));
    }

    #[test]
    fn test_insert() {
        let mut m = HashMap::new();
        assert_eq!(m.len(), 0);
        assert!(m.insert(1, 2).is_none());
        assert_eq!(m.len(), 1);
        assert!(m.insert(2, 4).is_none());
        assert_eq!(m.len(), 2);
        assert_eq!(*m.get(&1).unwrap(), 2);
        assert_eq!(*m.get(&2).unwrap(), 4);
    }

    #[test]
    fn test_clone() {
        let mut m = HashMap::new();
        assert_eq!(m.len(), 0);
        assert!(m.insert(1, 2).is_none());
        assert_eq!(m.len(), 1);
        assert!(m.insert(2, 4).is_none());
        assert_eq!(m.len(), 2);
        let m2 = m.clone();
        assert_eq!(*m2.get(&1).unwrap(), 2);
        assert_eq!(*m2.get(&2).unwrap(), 4);
        assert_eq!(m2.len(), 2);
    }

    thread_local! { static DROP_VECTOR: RefCell<Vec<i32>> = RefCell::new(Vec::new()) }

    #[derive(Hash, PartialEq, Eq)]
    struct Droppable {
        k: usize,
    }

    impl Droppable {
        fn new(k: usize) -> Droppable {
            DROP_VECTOR.with(|slot| {
                slot.borrow_mut()[k] += 1;
            });

            Droppable { k: k }
        }
    }

    impl Drop for Droppable {
        fn drop(&mut self) {
            DROP_VECTOR.with(|slot| {
                slot.borrow_mut()[self.k] -= 1;
            });
        }
    }

    impl Clone for Droppable {
        fn clone(&self) -> Droppable {
            Droppable::new(self.k)
        }
    }

    #[test]
    fn test_drops() {
        DROP_VECTOR.with(|slot| {
            *slot.borrow_mut() = vec![0; 200];
        });

        {
            let mut m = HashMap::new();

            DROP_VECTOR.with(|v| {
                for i in 0..200 {
                    assert_eq!(v.borrow()[i], 0);
                }
            });

            for i in 0..100 {
                let d1 = Droppable::new(i);
                let d2 = Droppable::new(i + 100);
                m.insert(d1, d2);
            }

            DROP_VECTOR.with(|v| {
                for i in 0..200 {
                    assert_eq!(v.borrow()[i], 1);
                }
            });

            for i in 0..50 {
                let k = Droppable::new(i);
                let v = m.remove(&k);

                assert!(v.is_some());

                DROP_VECTOR.with(|v| {
                    assert_eq!(v.borrow()[i], 1);
                    assert_eq!(v.borrow()[i+100], 1);
                });
            }

            DROP_VECTOR.with(|v| {
                for i in 0..50 {
                    assert_eq!(v.borrow()[i], 0);
                    assert_eq!(v.borrow()[i+100], 0);
                }

                for i in 50..100 {
                    assert_eq!(v.borrow()[i], 1);
                    assert_eq!(v.borrow()[i+100], 1);
                }
            });
        }

        DROP_VECTOR.with(|v| {
            for i in 0..200 {
                assert_eq!(v.borrow()[i], 0);
            }
        });
    }

    #[test]
    fn test_into_iter_drops() {
        DROP_VECTOR.with(|v| {
            *v.borrow_mut() = vec![0; 200];
        });

        let hm = {
            let mut hm = HashMap::new();

            DROP_VECTOR.with(|v| {
                for i in 0..200 {
                    assert_eq!(v.borrow()[i], 0);
                }
            });

            for i in 0..100 {
                let d1 = Droppable::new(i);
                let d2 = Droppable::new(i + 100);
                hm.insert(d1, d2);
            }

            DROP_VECTOR.with(|v| {
                for i in 0..200 {
                    assert_eq!(v.borrow()[i], 1);
                }
            });

            hm
        };

        // By the way, ensure that cloning doesn't screw up the dropping.
        drop(hm.clone());

        {
            let mut half = hm.into_iter().take(50);

            DROP_VECTOR.with(|v| {
                for i in 0..200 {
                    assert_eq!(v.borrow()[i], 1);
                }
            });

            for _ in half.by_ref() {}

            DROP_VECTOR.with(|v| {
                let nk = (0..100)
                    .filter(|&i| v.borrow()[i] == 1)
                    .count();

                let nv = (0..100)
                    .filter(|&i| v.borrow()[i + 100] == 1)
                    .count();

                assert_eq!(nk, 50);
                assert_eq!(nv, 50);
            });
        };

        DROP_VECTOR.with(|v| {
            for i in 0..200 {
                assert_eq!(v.borrow()[i], 0);
            }
        });
    }

    #[test]
    fn test_empty_remove() {
        let mut m: HashMap<i32, bool> = HashMap::new();
        assert_eq!(m.remove(&0), None);
    }

    #[test]
    fn test_empty_entry() {
        let mut m: HashMap<i32, bool> = HashMap::new();
        match m.entry(0) {
            Occupied(_) => panic!(),
            Vacant(_) => {}
        }
        assert!(*m.entry(0).or_insert(true));
        assert_eq!(m.len(), 1);
    }

    #[test]
    fn test_empty_iter() {
        let mut m: HashMap<i32, bool> = HashMap::new();
        assert_eq!(m.drain().next(), None);
        assert_eq!(m.keys().next(), None);
        assert_eq!(m.values().next(), None);
        assert_eq!(m.values_mut().next(), None);
        assert_eq!(m.iter().next(), None);
        assert_eq!(m.iter_mut().next(), None);
        assert_eq!(m.len(), 0);
        assert!(m.is_empty());
        assert_eq!(m.into_iter().next(), None);
    }

    #[test]
    fn test_lots_of_insertions() {
        let mut m = HashMap::new();

        // Try this a few times to make sure we never screw up the hashmap's
        // internal state.
        for _ in 0..10 {
            assert!(m.is_empty());

            for i in 1..1001 {
                assert!(m.insert(i, i).is_none());

                for j in 1..i + 1 {
                    let r = m.get(&j);
                    assert_eq!(r, Some(&j));
                }

                for j in i + 1..1001 {
                    let r = m.get(&j);
                    assert_eq!(r, None);
                }
            }

            for i in 1001..2001 {
                assert!(!m.contains_key(&i));
            }

            // remove forwards
            for i in 1..1001 {
                assert!(m.remove(&i).is_some());

                for j in 1..i + 1 {
                    assert!(!m.contains_key(&j));
                }

                for j in i + 1..1001 {
                    assert!(m.contains_key(&j));
                }
            }

            for i in 1..1001 {
                assert!(!m.contains_key(&i));
            }

            for i in 1..1001 {
                assert!(m.insert(i, i).is_none());
            }

            // remove backwards
            for i in (1..1001).rev() {
                assert!(m.remove(&i).is_some());

                for j in i..1001 {
                    assert!(!m.contains_key(&j));
                }

                for j in 1..i {
                    assert!(m.contains_key(&j));
                }
            }
        }
    }

    #[test]
    fn test_find_mut() {
        let mut m = HashMap::new();
        assert!(m.insert(1, 12).is_none());
        assert!(m.insert(2, 8).is_none());
        assert!(m.insert(5, 14).is_none());
        let new = 100;
        match m.get_mut(&5) {
            None => panic!(),
            Some(x) => *x = new,
        }
        assert_eq!(m.get(&5), Some(&new));
    }

    #[test]
    fn test_insert_overwrite() {
        let mut m = HashMap::new();
        assert!(m.insert(1, 2).is_none());
        assert_eq!(*m.get(&1).unwrap(), 2);
        assert!(!m.insert(1, 3).is_none());
        assert_eq!(*m.get(&1).unwrap(), 3);
    }

    #[test]
    fn test_insert_conflicts() {
        let mut m = HashMap::with_capacity(4);
        assert!(m.insert(1, 2).is_none());
        assert!(m.insert(5, 3).is_none());
        assert!(m.insert(9, 4).is_none());
        assert_eq!(*m.get(&9).unwrap(), 4);
        assert_eq!(*m.get(&5).unwrap(), 3);
        assert_eq!(*m.get(&1).unwrap(), 2);
    }

    #[test]
    fn test_conflict_remove() {
        let mut m = HashMap::with_capacity(4);
        assert!(m.insert(1, 2).is_none());
        assert_eq!(*m.get(&1).unwrap(), 2);
        assert!(m.insert(5, 3).is_none());
        assert_eq!(*m.get(&1).unwrap(), 2);
        assert_eq!(*m.get(&5).unwrap(), 3);
        assert!(m.insert(9, 4).is_none());
        assert_eq!(*m.get(&1).unwrap(), 2);
        assert_eq!(*m.get(&5).unwrap(), 3);
        assert_eq!(*m.get(&9).unwrap(), 4);
        assert!(m.remove(&1).is_some());
        assert_eq!(*m.get(&9).unwrap(), 4);
        assert_eq!(*m.get(&5).unwrap(), 3);
    }

    #[test]
    fn test_is_empty() {
        let mut m = HashMap::with_capacity(4);
        assert!(m.insert(1, 2).is_none());
        assert!(!m.is_empty());
        assert!(m.remove(&1).is_some());
        assert!(m.is_empty());
    }

    #[test]
    fn test_remove() {
        let mut m = HashMap::new();
        m.insert(1, 2);
        assert_eq!(m.remove(&1), Some(2));
        assert_eq!(m.remove(&1), None);
    }

    #[test]
    fn test_remove_entry() {
        let mut m = HashMap::new();
        m.insert(1, 2);
        assert_eq!(m.remove_entry(&1), Some((1, 2)));
        assert_eq!(m.remove(&1), None);
    }

    #[test]
    fn test_iterate() {
        let mut m = HashMap::with_capacity(4);
        for i in 0..32 {
            assert!(m.insert(i, i*2).is_none());
        }
        assert_eq!(m.len(), 32);

        let mut observed: u32 = 0;

        for (k, v) in &m {
            assert_eq!(*v, *k * 2);
            observed |= 1 << *k;
        }
        assert_eq!(observed, 0xFFFF_FFFF);
    }

    #[test]
    fn test_keys() {
        let vec = vec![(1, 'a'), (2, 'b'), (3, 'c')];
        let map: HashMap<_, _> = vec.into_iter().collect();
        let keys: Vec<_> = map.keys().cloned().collect();
        assert_eq!(keys.len(), 3);
        assert!(keys.contains(&1));
        assert!(keys.contains(&2));
        assert!(keys.contains(&3));
    }

    #[test]
    fn test_values() {
        let vec = vec![(1, 'a'), (2, 'b'), (3, 'c')];
        let map: HashMap<_, _> = vec.into_iter().collect();
        let values: Vec<_> = map.values().cloned().collect();
        assert_eq!(values.len(), 3);
        assert!(values.contains(&'a'));
        assert!(values.contains(&'b'));
        assert!(values.contains(&'c'));
    }

    #[test]
    fn test_values_mut() {
        let vec = vec![(1, 1), (2, 2), (3, 3)];
        let mut map: HashMap<_, _> = vec.into_iter().collect();
        for value in map.values_mut() {
            *value = (*value) * 2
        }
        let values: Vec<_> = map.values().cloned().collect();
        assert_eq!(values.len(), 3);
        assert!(values.contains(&2));
        assert!(values.contains(&4));
        assert!(values.contains(&6));
    }

    #[test]
    fn test_find() {
        let mut m = HashMap::new();
        assert!(m.get(&1).is_none());
        m.insert(1, 2);
        match m.get(&1) {
            None => panic!(),
            Some(v) => assert_eq!(*v, 2),
        }
    }

    #[test]
    fn test_eq() {
        let mut m1 = HashMap::new();
        m1.insert(1, 2);
        m1.insert(2, 3);
        m1.insert(3, 4);

        let mut m2 = HashMap::new();
        m2.insert(1, 2);
        m2.insert(2, 3);

        assert!(m1 != m2);

        m2.insert(3, 4);

        assert_eq!(m1, m2);
    }

    #[test]
    fn test_show() {
        let mut map = HashMap::new();
        let empty: HashMap<i32, i32> = HashMap::new();

        map.insert(1, 2);
        map.insert(3, 4);

        let map_str = format!("{:?}", map);

        assert!(map_str == "{1: 2, 3: 4}" ||
                map_str == "{3: 4, 1: 2}");
        assert_eq!(format!("{:?}", empty), "{}");
    }

    #[test]
    fn test_expand() {
        let mut m = HashMap::new();

        assert_eq!(m.len(), 0);
        assert!(m.is_empty());

        let mut i = 0;
        let old_raw_cap = m.raw_capacity();
        while old_raw_cap == m.raw_capacity() {
            m.insert(i, i);
            i += 1;
        }

        assert_eq!(m.len(), i);
        assert!(!m.is_empty());
    }

    #[test]
    fn test_behavior_resize_policy() {
        let mut m = HashMap::new();

        assert_eq!(m.len(), 0);
        assert_eq!(m.raw_capacity(), 0);
        assert!(m.is_empty());

        m.insert(0, 0);
        m.remove(&0);
        assert!(m.is_empty());
        let initial_raw_cap = m.raw_capacity();
        m.reserve(initial_raw_cap);
        let raw_cap = m.raw_capacity();

        assert_eq!(raw_cap, initial_raw_cap * 2);

        let mut i = 0;
        for _ in 0..raw_cap * 3 / 4 {
            m.insert(i, i);
            i += 1;
        }
        // three quarters full

        assert_eq!(m.len(), i);
        assert_eq!(m.raw_capacity(), raw_cap);

        for _ in 0..raw_cap / 4 {
            m.insert(i, i);
            i += 1;
        }
        // half full

        let new_raw_cap = m.raw_capacity();
        assert_eq!(new_raw_cap, raw_cap * 2);

        for _ in 0..raw_cap / 2 - 1 {
            i -= 1;
            m.remove(&i);
            assert_eq!(m.raw_capacity(), new_raw_cap);
        }
        // A little more than one quarter full.
        m.shrink_to_fit();
        assert_eq!(m.raw_capacity(), raw_cap);
        // again, a little more than half full
        for _ in 0..raw_cap / 2 - 1 {
            i -= 1;
            m.remove(&i);
        }
        m.shrink_to_fit();

        assert_eq!(m.len(), i);
        assert!(!m.is_empty());
        assert_eq!(m.raw_capacity(), initial_raw_cap);
    }

    #[test]
    fn test_reserve_shrink_to_fit() {
        let mut m = HashMap::new();
        m.insert(0, 0);
        m.remove(&0);
        assert!(m.capacity() >= m.len());
        for i in 0..128 {
            m.insert(i, i);
        }
        m.reserve(256);

        let usable_cap = m.capacity();
        for i in 128..(128 + 256) {
            m.insert(i, i);
            assert_eq!(m.capacity(), usable_cap);
        }

        for i in 100..(128 + 256) {
            assert_eq!(m.remove(&i), Some(i));
        }
        m.shrink_to_fit();

        assert_eq!(m.len(), 100);
        assert!(!m.is_empty());
        assert!(m.capacity() >= m.len());

        for i in 0..100 {
            assert_eq!(m.remove(&i), Some(i));
        }
        m.shrink_to_fit();
        m.insert(0, 0);

        assert_eq!(m.len(), 1);
        assert!(m.capacity() >= m.len());
        assert_eq!(m.remove(&0), Some(0));
    }

    #[test]
    fn test_from_iter() {
        let xs = [(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6)];

        let map: HashMap<_, _> = xs.iter().cloned().collect();

        for &(k, v) in &xs {
            assert_eq!(map.get(&k), Some(&v));
        }
    }

    #[test]
    fn test_size_hint() {
        let xs = [(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6)];

        let map: HashMap<_, _> = xs.iter().cloned().collect();

        let mut iter = map.iter();

        for _ in iter.by_ref().take(3) {}

        assert_eq!(iter.size_hint(), (3, Some(3)));
    }

    #[test]
    fn test_iter_len() {
        let xs = [(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6)];

        let map: HashMap<_, _> = xs.iter().cloned().collect();

        let mut iter = map.iter();

        for _ in iter.by_ref().take(3) {}

        assert_eq!(iter.len(), 3);
    }

    #[test]
    fn test_mut_size_hint() {
        let xs = [(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6)];

        let mut map: HashMap<_, _> = xs.iter().cloned().collect();

        let mut iter = map.iter_mut();

        for _ in iter.by_ref().take(3) {}

        assert_eq!(iter.size_hint(), (3, Some(3)));
    }

    #[test]
    fn test_iter_mut_len() {
        let xs = [(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6)];

        let mut map: HashMap<_, _> = xs.iter().cloned().collect();

        let mut iter = map.iter_mut();

        for _ in iter.by_ref().take(3) {}

        assert_eq!(iter.len(), 3);
    }

    #[test]
    fn test_index() {
        let mut map = HashMap::new();

        map.insert(1, 2);
        map.insert(2, 1);
        map.insert(3, 4);

        assert_eq!(map[&2], 1);
    }

    #[test]
    #[should_panic]
    fn test_index_nonexistent() {
        let mut map = HashMap::new();

        map.insert(1, 2);
        map.insert(2, 1);
        map.insert(3, 4);

        map[&4];
    }

    #[test]
    fn test_entry() {
        let xs = [(1, 10), (2, 20), (3, 30), (4, 40), (5, 50), (6, 60)];

        let mut map: HashMap<_, _> = xs.iter().cloned().collect();

        // Existing key (insert)
        match map.entry(1) {
            Vacant(_) => unreachable!(),
            Occupied(mut view) => {
                assert_eq!(view.get(), &10);
                assert_eq!(view.insert(100), 10);
            }
        }
        assert_eq!(map.get(&1).unwrap(), &100);
        assert_eq!(map.len(), 6);


        // Existing key (update)
        match map.entry(2) {
            Vacant(_) => unreachable!(),
            Occupied(mut view) => {
                let v = view.get_mut();
                let new_v = (*v) * 10;
                *v = new_v;
            }
        }
        assert_eq!(map.get(&2).unwrap(), &200);
        assert_eq!(map.len(), 6);

        // Existing key (take)
        match map.entry(3) {
            Vacant(_) => unreachable!(),
            Occupied(view) => {
                assert_eq!(view.remove(), 30);
            }
        }
        assert_eq!(map.get(&3), None);
        assert_eq!(map.len(), 5);


        // Inexistent key (insert)
        match map.entry(10) {
            Occupied(_) => unreachable!(),
            Vacant(view) => {
                assert_eq!(*view.insert(1000), 1000);
            }
        }
        assert_eq!(map.get(&10).unwrap(), &1000);
        assert_eq!(map.len(), 6);
    }

    #[test]
    fn test_entry_take_doesnt_corrupt() {
        #![allow(deprecated)] //rand
        // Test for #19292
        fn check(m: &HashMap<i32, ()>) {
            for k in m.keys() {
                assert!(m.contains_key(k),
                        "{} is in keys() but not in the map?", k);
            }
        }

        let mut m = HashMap::new();
        let mut rng = thread_rng();

        // Populate the map with some items.
        for _ in 0..50 {
            let x = rng.gen_range(-10, 10);
            m.insert(x, ());
        }

        for i in 0..1000 {
            let x = rng.gen_range(-10, 10);
            match m.entry(x) {
                Vacant(_) => {}
                Occupied(e) => {
                    println!("{}: remove {}", i, x);
                    e.remove();
                }
            }

            check(&m);
        }
    }

    #[test]
    fn test_extend_ref() {
        let mut a = HashMap::new();
        a.insert(1, "one");
        let mut b = HashMap::new();
        b.insert(2, "two");
        b.insert(3, "three");

        a.extend(&b);

        assert_eq!(a.len(), 3);
        assert_eq!(a[&1], "one");
        assert_eq!(a[&2], "two");
        assert_eq!(a[&3], "three");
    }

    #[test]
    fn test_capacity_not_less_than_len() {
        let mut a = HashMap::new();
        let mut item = 0;

        for _ in 0..116 {
            a.insert(item, 0);
            item += 1;
        }

        assert!(a.capacity() > a.len());

        let free = a.capacity() - a.len();
        for _ in 0..free {
            a.insert(item, 0);
            item += 1;
        }

        assert_eq!(a.len(), a.capacity());

        // Insert at capacity should cause allocation.
        a.insert(item, 0);
        assert!(a.capacity() > a.len());
    }

    #[test]
    fn test_occupied_entry_key() {
        let mut a = HashMap::new();
        let key = "hello there";
        let value = "value goes here";
        assert!(a.is_empty());
        a.insert(key.clone(), value.clone());
        assert_eq!(a.len(), 1);
        assert_eq!(a[key], value);

        match a.entry(key.clone()) {
            Vacant(_) => panic!(),
            Occupied(e) => assert_eq!(key, *e.key()),
        }
        assert_eq!(a.len(), 1);
        assert_eq!(a[key], value);
    }

    #[test]
    fn test_vacant_entry_key() {
        let mut a = HashMap::new();
        let key = "hello there";
        let value = "value goes here";

        assert!(a.is_empty());
        match a.entry(key.clone()) {
            Occupied(_) => panic!(),
            Vacant(e) => {
                assert_eq!(key, *e.key());
                e.insert(value.clone());
            }
        }
        assert_eq!(a.len(), 1);
        assert_eq!(a[key], value);
    }

    #[test]
    fn test_retain() {
        let mut map: HashMap<i32, i32> = (0..100).map(|x|(x, x*10)).collect();

        map.retain(|&k, _| k % 2 == 0);
        assert_eq!(map.len(), 50);
        assert_eq!(map[&2], 20);
        assert_eq!(map[&4], 40);
        assert_eq!(map[&6], 60);
    }

    #[test]
    fn test_adaptive() {
        const TEST_LEN: usize = 5000;
        // by cloning we get maps with the same hasher seed
        let mut first = HashMap::new();
        let mut second = first.clone();
        first.extend((0..TEST_LEN).map(|i| (i, i)));
        second.extend((TEST_LEN..TEST_LEN * 2).map(|i| (i, i)));

        for (&k, &v) in &second {
            let prev_cap = first.capacity();
            let expect_grow = first.len() == prev_cap;
            first.insert(k, v);
            if !expect_grow && first.capacity() != prev_cap {
                return;
            }
        }
        panic!("Adaptive early resize failed");
    }

    #[test]
    fn test_try_reserve() {

        let mut empty_bytes: HashMap<u8,u8> = HashMap::new();

        const MAX_USIZE: usize = usize::MAX;

        // HashMap and RawTables use complicated size calculations
        // hashes_size is sizeof(HashUint) * capacity;
        // pairs_size is sizeof((K. V)) * capacity;
        // alignment_hashes_size is 8
        // alignment_pairs size is 4
        let size_of_multiplier = (size_of::<usize>() + size_of::<(u8, u8)>()).next_power_of_two();
        // The following formula is used to calculate the new capacity
        let max_no_ovf = ((MAX_USIZE / 11) * 10) / size_of_multiplier - 1;

        if let Err(CapacityOverflow) = empty_bytes.try_reserve(MAX_USIZE) {
        } else { panic!("usize::MAX should trigger an overflow!"); }

        if size_of::<usize>() < 8 {
            if let Err(CapacityOverflow) = empty_bytes.try_reserve(max_no_ovf) {
            } else { panic!("isize::MAX + 1 should trigger a CapacityOverflow!") }
        } else {
            if let Err(AllocErr) = empty_bytes.try_reserve(max_no_ovf) {
            } else { panic!("isize::MAX + 1 should trigger an OOM!") }
        }
    }

}