rust/src/libstd/collections/hashmap/set.rs

// Copyright 2014 The Rust Project Developers. See the COPYRIGHT
// file at the top-level directory of this distribution and at
// http://rust-lang.org/COPYRIGHT.
//
// Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or
// http://www.apache.org/licenses/LICENSE-2.0> or the MIT license
// <LICENSE-MIT or http://opensource.org/licenses/MIT>, at your
// option. This file may not be copied, modified, or distributed
// except according to those terms.
//
// ignore-lexer-test FIXME #15883

use clone::Clone;
use cmp::{Eq, Equiv, PartialEq};
use collections::{Collection, Mutable, Set, MutableSet, Map, MutableMap};
use default::Default;
use fmt::Show;
use fmt;
use hash::{Hash, Hasher, RandomSipHasher};
use iter::{Iterator, FromIterator, FilterMap, Chain, Repeat, Zip, Extendable};
use iter;
use option::{Some, None};
use result::{Ok, Err};

use super::{HashMap, Entries, MoveEntries, INITIAL_CAPACITY};


// Future Optimization (FIXME!)
// =============================
//
// Iteration over zero sized values is a noop. There is no need
// for `bucket.val` in the case of HashSet. I suppose we would need HKT
// to get rid of it properly.

/// An implementation of a hash set using the underlying representation of a
/// HashMap where the value is (). As with the `HashMap` type, a `HashSet`
/// requires that the elements implement the `Eq` and `Hash` traits.
///
/// # Example
///
/// ```
/// use std::collections::HashSet;
/// // Type inference lets us omit an explicit type signature (which
/// // would be `HashSet<&str>` in this example).
/// let mut books = HashSet::new();
///
/// // Add some books.
/// books.insert("A Dance With Dragons");
/// books.insert("To Kill a Mockingbird");
/// books.insert("The Odyssey");
/// books.insert("The Great Gatsby");
///
/// // Check for a specific one.
/// if !books.contains(&("The Winds of Winter")) {
///     println!("We have {} books, but The Winds of Winter ain't one.",
///              books.len());
/// }
///
/// // Remove a book.
/// books.remove(&"The Odyssey");
///
/// // Iterate over everything.
/// for book in books.iter() {
///     println!("{}", *book);
/// }
/// ```
///
/// The easiest way to use `HashSet` with a custom type is to derive
/// `Eq` and `Hash`. We must also derive `PartialEq`, this will in the
/// future be implied by `Eq`.
///
/// ```
/// use std::collections::HashSet;
/// #[deriving(Hash, Eq, PartialEq, Show)]
/// struct Viking<'a> {
///     name: &'a str,
///     power: uint,
/// }
///
/// let mut vikings = HashSet::new();
///
/// vikings.insert(Viking { name: "Einar", power: 9u });
/// vikings.insert(Viking { name: "Einar", power: 9u });
/// vikings.insert(Viking { name: "Olaf", power: 4u });
/// vikings.insert(Viking { name: "Harald", power: 8u });
///
/// // Use derived implementation to print the vikings.
/// for x in vikings.iter() {
///     println!("{}", x);
/// }
/// ```
#[deriving(Clone)]
pub struct HashSet<T, H = RandomSipHasher> {
    map: HashMap<T, (), H>
}

impl<T: Hash + Eq> HashSet<T, RandomSipHasher> {
    /// Create an empty HashSet.
    ///
    /// # Example
    ///
    /// ```
    /// use std::collections::HashSet;
    /// let mut set: HashSet<int> = HashSet::new();
    /// ```
    #[inline]
    pub fn new() -> HashSet<T, RandomSipHasher> {
        HashSet::with_capacity(INITIAL_CAPACITY)
    }

    /// Create an empty HashSet with space for at least `n` elements in
    /// the hash table.
    ///
    /// # Example
    ///
    /// ```
    /// use std::collections::HashSet;
    /// let mut set: HashSet<int> = HashSet::with_capacity(10);
    /// ```
    #[inline]
    pub fn with_capacity(capacity: uint) -> HashSet<T, RandomSipHasher> {
        HashSet { map: HashMap::with_capacity(capacity) }
    }
}

impl<T: Eq + Hash<S>, S, H: Hasher<S>> HashSet<T, H> {
    /// Creates a new empty hash set which will use the given hasher to hash
    /// keys.
    ///
    /// The hash set is also created with the default initial capacity.
    ///
    /// # Example
    ///
    /// ```
    /// use std::collections::HashSet;
    /// use std::hash::sip::SipHasher;
    ///
    /// let h = SipHasher::new();
    /// let mut set = HashSet::with_hasher(h);
    /// set.insert(2u);
    /// ```
    #[inline]
    pub fn with_hasher(hasher: H) -> HashSet<T, H> {
        HashSet::with_capacity_and_hasher(INITIAL_CAPACITY, hasher)
    }

    /// Create an empty HashSet with space for at least `capacity`
    /// elements in the hash table, using `hasher` to hash the keys.
    ///
    /// Warning: `hasher` is normally randomly generated, and
    /// is designed to allow `HashSet`s 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.
    ///
    /// # Example
    ///
    /// ```
    /// use std::collections::HashSet;
    /// use std::hash::sip::SipHasher;
    ///
    /// let h = SipHasher::new();
    /// let mut set = HashSet::with_capacity_and_hasher(10u, h);
    /// set.insert(1i);
    /// ```
    #[inline]
    pub fn with_capacity_and_hasher(capacity: uint, hasher: H) -> HashSet<T, H> {
        HashSet { map: HashMap::with_capacity_and_hasher(capacity, hasher) }
    }

    /// Reserve space for at least `n` elements in the hash table.
    ///
    /// # Example
    ///
    /// ```
    /// use std::collections::HashSet;
    /// let mut set: HashSet<int> = HashSet::new();
    /// set.reserve(10);
    /// ```
    pub fn reserve(&mut self, n: uint) {
        self.map.reserve(n)
    }

    /// Returns true if the hash set contains a value equivalent to the
    /// given query value.
    ///
    /// # Example
    ///
    /// This is a slightly silly example where we define the number's
    /// parity as the equivalance class. It is important that the
    /// values hash the same, which is why we implement `Hash`.
    ///
    /// ```
    /// use std::collections::HashSet;
    /// use std::hash::Hash;
    /// use std::hash::sip::SipState;
    ///
    /// #[deriving(Eq, PartialEq)]
    /// struct EvenOrOdd {
    ///     num: uint
    /// };
    ///
    /// impl Hash for EvenOrOdd {
    ///     fn hash(&self, state: &mut SipState) {
    ///         let parity = self.num % 2;
    ///         parity.hash(state);
    ///     }
    /// }
    ///
    /// impl Equiv<EvenOrOdd> for EvenOrOdd {
    ///     fn equiv(&self, other: &EvenOrOdd) -> bool {
    ///         self.num % 2 == other.num % 2
    ///     }
    /// }
    ///
    /// let mut set = HashSet::new();
    /// set.insert(EvenOrOdd { num: 3u });
    ///
    /// assert!(set.contains_equiv(&EvenOrOdd { num: 3u }));
    /// assert!(set.contains_equiv(&EvenOrOdd { num: 5u }));
    /// assert!(!set.contains_equiv(&EvenOrOdd { num: 4u }));
    /// assert!(!set.contains_equiv(&EvenOrOdd { num: 2u }));
    ///
    /// ```
    pub fn contains_equiv<Q: Hash<S> + Equiv<T>>(&self, value: &Q) -> bool {
      self.map.contains_key_equiv(value)
    }

    /// An iterator visiting all elements in arbitrary order.
    /// Iterator element type is &'a T.
    ///
    /// # Example
    ///
    /// ```
    /// use std::collections::HashSet;
    /// let mut set = HashSet::new();
    /// set.insert("a");
    /// set.insert("b");
    ///
    /// // Will print in an arbitrary order.
    /// for x in set.iter() {
    ///     println!("{}", x);
    /// }
    /// ```
    pub fn iter<'a>(&'a self) -> SetItems<'a, T> {
        self.map.keys()
    }

    /// Deprecated: use `into_iter`.
    #[deprecated = "use into_iter"]
    pub fn move_iter(self) -> SetMoveItems<T> {
        self.into_iter()
    }

    /// Creates a consuming iterator, that is, one that moves each value out
    /// of the set in arbitrary order. The set cannot be used after calling
    /// this.
    ///
    /// # Example
    ///
    /// ```
    /// use std::collections::HashSet;
    /// let mut set = HashSet::new();
    /// set.insert("a".to_string());
    /// set.insert("b".to_string());
    ///
    /// // Not possible to collect to a Vec<String> with a regular `.iter()`.
    /// let v: Vec<String> = set.into_iter().collect();
    ///
    /// // Will print in an arbitrary order.
    /// for x in v.iter() {
    ///     println!("{}", x);
    /// }
    /// ```
    pub fn into_iter(self) -> SetMoveItems<T> {
        self.map.into_iter().map(|(k, _)| k)
    }

    /// Visit the values representing the difference.
    ///
    /// # Example
    ///
    /// ```
    /// use std::collections::HashSet;
    /// let a: HashSet<int> = [1i, 2, 3].iter().map(|&x| x).collect();
    /// let b: HashSet<int> = [4i, 2, 3, 4].iter().map(|&x| x).collect();
    ///
    /// // Can be seen as `a - b`.
    /// for x in a.difference(&b) {
    ///     println!("{}", x); // Print 1
    /// }
    ///
    /// let diff: HashSet<int> = a.difference(&b).map(|&x| x).collect();
    /// assert_eq!(diff, [1i].iter().map(|&x| x).collect());
    ///
    /// // Note that difference is not symmetric,
    /// // and `b - a` means something else:
    /// let diff: HashSet<int> = b.difference(&a).map(|&x| x).collect();
    /// assert_eq!(diff, [4i].iter().map(|&x| x).collect());
    /// ```
    pub fn difference<'a>(&'a self, other: &'a HashSet<T, H>) -> SetAlgebraItems<'a, T, H> {
        Repeat::new(other).zip(self.iter())
            .filter_map(|(other, elt)| {
                if !other.contains(elt) { Some(elt) } else { None }
            })
    }

    /// Visit the values representing the symmetric difference.
    ///
    /// # Example
    ///
    /// ```
    /// use std::collections::HashSet;
    /// let a: HashSet<int> = [1i, 2, 3].iter().map(|&x| x).collect();
    /// let b: HashSet<int> = [4i, 2, 3, 4].iter().map(|&x| x).collect();
    ///
    /// // Print 1, 4 in arbitrary order.
    /// for x in a.symmetric_difference(&b) {
    ///     println!("{}", x);
    /// }
    ///
    /// let diff1: HashSet<int> = a.symmetric_difference(&b).map(|&x| x).collect();
    /// let diff2: HashSet<int> = b.symmetric_difference(&a).map(|&x| x).collect();
    ///
    /// assert_eq!(diff1, diff2);
    /// assert_eq!(diff1, [1i, 4].iter().map(|&x| x).collect());
    /// ```
    pub fn symmetric_difference<'a>(&'a self, other: &'a HashSet<T, H>)
        -> Chain<SetAlgebraItems<'a, T, H>, SetAlgebraItems<'a, T, H>> {
        self.difference(other).chain(other.difference(self))
    }

    /// Visit the values representing the intersection.
    ///
    /// # Example
    ///
    /// ```
    /// use std::collections::HashSet;
    /// let a: HashSet<int> = [1i, 2, 3].iter().map(|&x| x).collect();
    /// let b: HashSet<int> = [4i, 2, 3, 4].iter().map(|&x| x).collect();
    ///
    /// // Print 2, 3 in arbitrary order.
    /// for x in a.intersection(&b) {
    ///     println!("{}", x);
    /// }
    ///
    /// let diff: HashSet<int> = a.intersection(&b).map(|&x| x).collect();
    /// assert_eq!(diff, [2i, 3].iter().map(|&x| x).collect());
    /// ```
    pub fn intersection<'a>(&'a self, other: &'a HashSet<T, H>)
        -> SetAlgebraItems<'a, T, H> {
        Repeat::new(other).zip(self.iter())
            .filter_map(|(other, elt)| {
                if other.contains(elt) { Some(elt) } else { None }
            })
    }

    /// Visit the values representing the union.
    ///
    /// # Example
    ///
    /// ```
    /// use std::collections::HashSet;
    /// let a: HashSet<int> = [1i, 2, 3].iter().map(|&x| x).collect();
    /// let b: HashSet<int> = [4i, 2, 3, 4].iter().map(|&x| x).collect();
    ///
    /// // Print 1, 2, 3, 4 in arbitrary order.
    /// for x in a.union(&b) {
    ///     println!("{}", x);
    /// }
    ///
    /// let diff: HashSet<int> = a.union(&b).map(|&x| x).collect();
    /// assert_eq!(diff, [1i, 2, 3, 4].iter().map(|&x| x).collect());
    /// ```
    pub fn union<'a>(&'a self, other: &'a HashSet<T, H>)
        -> Chain<SetItems<'a, T>, SetAlgebraItems<'a, T, H>> {
        self.iter().chain(other.difference(self))
    }
}

impl<T: Eq + Hash<S>, S, H: Hasher<S>> PartialEq for HashSet<T, H> {
    fn eq(&self, other: &HashSet<T, H>) -> bool {
        if self.len() != other.len() { return false; }

        self.iter().all(|key| other.contains(key))
    }
}

impl<T: Eq + Hash<S>, S, H: Hasher<S>> Eq for HashSet<T, H> {}

impl<T: Eq + Hash<S>, S, H: Hasher<S>> Collection for HashSet<T, H> {
    fn len(&self) -> uint { self.map.len() }
}

impl<T: Eq + Hash<S>, S, H: Hasher<S>> Mutable for HashSet<T, H> {
    fn clear(&mut self) { self.map.clear() }
}

impl<T: Eq + Hash<S>, S, H: Hasher<S>> Set<T> for HashSet<T, H> {
    fn contains(&self, value: &T) -> bool { self.map.contains_key(value) }

    fn is_disjoint(&self, other: &HashSet<T, H>) -> bool {
        self.iter().all(|v| !other.contains(v))
    }

    fn is_subset(&self, other: &HashSet<T, H>) -> bool {
        self.iter().all(|v| other.contains(v))
    }
}

impl<T: Eq + Hash<S>, S, H: Hasher<S>> MutableSet<T> for HashSet<T, H> {
    fn insert(&mut self, value: T) -> bool { self.map.insert(value, ()) }

    fn remove(&mut self, value: &T) -> bool { self.map.remove(value) }
}

impl<T: Eq + Hash<S> + fmt::Show, S, H: Hasher<S>> fmt::Show for HashSet<T, H> {
    fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
        try!(write!(f, "{{"));

        for (i, x) in self.iter().enumerate() {
            if i != 0 { try!(write!(f, ", ")); }
            try!(write!(f, "{}", *x));
        }

        write!(f, "}}")
    }
}

impl<T: Eq + Hash<S>, S, H: Hasher<S> + Default> FromIterator<T> for HashSet<T, H> {
    fn from_iter<I: Iterator<T>>(iter: I) -> HashSet<T, H> {
        let (lower, _) = iter.size_hint();
        let mut set = HashSet::with_capacity_and_hasher(lower, Default::default());
        set.extend(iter);
        set
    }
}

impl<T: Eq + Hash<S>, S, H: Hasher<S> + Default> Extendable<T> for HashSet<T, H> {
    fn extend<I: Iterator<T>>(&mut self, mut iter: I) {
        for k in iter {
            self.insert(k);
        }
    }
}

impl<T: Eq + Hash<S>, S, H: Hasher<S> + Default> Default for HashSet<T, H> {
    fn default() -> HashSet<T, H> {
        HashSet::with_hasher(Default::default())
    }
}

/// HashSet iterator
pub type SetItems<'a, K> =
    iter::Map<'static, (&'a K, &'a ()), &'a K, Entries<'a, K, ()>>;

/// HashSet move iterator
pub type SetMoveItems<K> =
    iter::Map<'static, (K, ()), K, MoveEntries<K, ()>>;

// `Repeat` is used to feed the filter closure an explicit capture
// of a reference to the other set
/// Set operations iterator
pub type SetAlgebraItems<'a, T, H> =
    FilterMap<'static, (&'a HashSet<T, H>, &'a T), &'a T,
              Zip<Repeat<&'a HashSet<T, H>>, SetItems<'a, T>>>;

#[cfg(test)]
mod test_set {
    use prelude::*;

    use super::HashSet;
    use slice::ImmutablePartialEqSlice;
    use collections::Collection;

    #[test]
    fn test_disjoint() {
        let mut xs = HashSet::new();
        let mut ys = HashSet::new();
        assert!(xs.is_disjoint(&ys));
        assert!(ys.is_disjoint(&xs));
        assert!(xs.insert(5i));
        assert!(ys.insert(11i));
        assert!(xs.is_disjoint(&ys));
        assert!(ys.is_disjoint(&xs));
        assert!(xs.insert(7));
        assert!(xs.insert(19));
        assert!(xs.insert(4));
        assert!(ys.insert(2));
        assert!(ys.insert(-11));
        assert!(xs.is_disjoint(&ys));
        assert!(ys.is_disjoint(&xs));
        assert!(ys.insert(7));
        assert!(!xs.is_disjoint(&ys));
        assert!(!ys.is_disjoint(&xs));
    }

    #[test]
    fn test_subset_and_superset() {
        let mut a = HashSet::new();
        assert!(a.insert(0i));
        assert!(a.insert(5));
        assert!(a.insert(11));
        assert!(a.insert(7));

        let mut b = HashSet::new();
        assert!(b.insert(0i));
        assert!(b.insert(7));
        assert!(b.insert(19));
        assert!(b.insert(250));
        assert!(b.insert(11));
        assert!(b.insert(200));

        assert!(!a.is_subset(&b));
        assert!(!a.is_superset(&b));
        assert!(!b.is_subset(&a));
        assert!(!b.is_superset(&a));

        assert!(b.insert(5));

        assert!(a.is_subset(&b));
        assert!(!a.is_superset(&b));
        assert!(!b.is_subset(&a));
        assert!(b.is_superset(&a));
    }

    #[test]
    fn test_iterate() {
        let mut a = HashSet::new();
        for i in range(0u, 32) {
            assert!(a.insert(i));
        }
        let mut observed: u32 = 0;
        for k in a.iter() {
            observed |= 1 << *k;
        }
        assert_eq!(observed, 0xFFFF_FFFF);
    }

    #[test]
    fn test_intersection() {
        let mut a = HashSet::new();
        let mut b = HashSet::new();

        assert!(a.insert(11i));
        assert!(a.insert(1));
        assert!(a.insert(3));
        assert!(a.insert(77));
        assert!(a.insert(103));
        assert!(a.insert(5));
        assert!(a.insert(-5));

        assert!(b.insert(2i));
        assert!(b.insert(11));
        assert!(b.insert(77));
        assert!(b.insert(-9));
        assert!(b.insert(-42));
        assert!(b.insert(5));
        assert!(b.insert(3));

        let mut i = 0;
        let expected = [3, 5, 11, 77];
        for x in a.intersection(&b) {
            assert!(expected.contains(x));
            i += 1
        }
        assert_eq!(i, expected.len());
    }

    #[test]
    fn test_difference() {
        let mut a = HashSet::new();
        let mut b = HashSet::new();

        assert!(a.insert(1i));
        assert!(a.insert(3));
        assert!(a.insert(5));
        assert!(a.insert(9));
        assert!(a.insert(11));

        assert!(b.insert(3i));
        assert!(b.insert(9));

        let mut i = 0;
        let expected = [1, 5, 11];
        for x in a.difference(&b) {
            assert!(expected.contains(x));
            i += 1
        }
        assert_eq!(i, expected.len());
    }

    #[test]
    fn test_symmetric_difference() {
        let mut a = HashSet::new();
        let mut b = HashSet::new();

        assert!(a.insert(1i));
        assert!(a.insert(3));
        assert!(a.insert(5));
        assert!(a.insert(9));
        assert!(a.insert(11));

        assert!(b.insert(-2i));
        assert!(b.insert(3));
        assert!(b.insert(9));
        assert!(b.insert(14));
        assert!(b.insert(22));

        let mut i = 0;
        let expected = [-2, 1, 5, 11, 14, 22];
        for x in a.symmetric_difference(&b) {
            assert!(expected.contains(x));
            i += 1
        }
        assert_eq!(i, expected.len());
    }

    #[test]
    fn test_union() {
        let mut a = HashSet::new();
        let mut b = HashSet::new();

        assert!(a.insert(1i));
        assert!(a.insert(3));
        assert!(a.insert(5));
        assert!(a.insert(9));
        assert!(a.insert(11));
        assert!(a.insert(16));
        assert!(a.insert(19));
        assert!(a.insert(24));

        assert!(b.insert(-2i));
        assert!(b.insert(1));
        assert!(b.insert(5));
        assert!(b.insert(9));
        assert!(b.insert(13));
        assert!(b.insert(19));

        let mut i = 0;
        let expected = [-2, 1, 3, 5, 9, 11, 13, 16, 19, 24];
        for x in a.union(&b) {
            assert!(expected.contains(x));
            i += 1
        }
        assert_eq!(i, expected.len());
    }

    #[test]
    fn test_from_iter() {
        let xs = [1i, 2, 3, 4, 5, 6, 7, 8, 9];

        let set: HashSet<int> = xs.iter().map(|&x| x).collect();

        for x in xs.iter() {
            assert!(set.contains(x));
        }
    }

    #[test]
    fn test_move_iter() {
        let hs = {
            let mut hs = HashSet::new();

            hs.insert('a');
            hs.insert('b');

            hs
        };

        let v = hs.into_iter().collect::<Vec<char>>();
        assert!(['a', 'b'] == v.as_slice() || ['b', 'a'] == v.as_slice());
    }

    #[test]
    fn test_eq() {
        // These constants once happened to expose a bug in insert().
        // I'm keeping them around to prevent a regression.
        let mut s1 = HashSet::new();

        s1.insert(1i);
        s1.insert(2);
        s1.insert(3);

        let mut s2 = HashSet::new();

        s2.insert(1i);
        s2.insert(2);

        assert!(s1 != s2);

        s2.insert(3);

        assert_eq!(s1, s2);
    }

    #[test]
    fn test_show() {
        let mut set: HashSet<int> = HashSet::new();
        let empty: HashSet<int> = HashSet::new();

        set.insert(1i);
        set.insert(2);

        let set_str = format!("{}", set);

        assert!(set_str == "{1, 2}".to_string() || set_str == "{2, 1}".to_string());
        assert_eq!(format!("{}", empty), "{}".to_string());
    }
}