rust/src/libstd/trie.rs

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// Copyright 2013 The Rust Project Developers. See the COPYRIGHT
// file at the top-level directory of this distribution and at
// http://rust-lang.org/COPYRIGHT.
//
// Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or
// http://www.apache.org/licenses/LICENSE-2.0> or the MIT license
// <LICENSE-MIT or http://opensource.org/licenses/MIT>, at your
// option. This file may not be copied, modified, or distributed
// except according to those terms.
//! Ordered containers with integer keys, implemented as radix tries (`TrieSet` and `TrieMap` types)
use prelude::*;
use uint;
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use util::{swap, replace};
use vec;
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// FIXME: #5244: need to manually update the TrieNode constructor
static SHIFT: uint = 4;
static SIZE: uint = 1 << SHIFT;
static MASK: uint = SIZE - 1;
enum Child<T> {
Internal(~TrieNode<T>),
External(uint, T),
Nothing
}
#[allow(missing_doc)]
pub struct TrieMap<T> {
priv root: TrieNode<T>,
priv length: uint
}
impl<T> Container for TrieMap<T> {
/// Return the number of elements in the map
#[inline]
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fn len(&self) -> uint { self.length }
}
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impl<T> Mutable for TrieMap<T> {
/// Clear the map, removing all values.
#[inline]
fn clear(&mut self) {
self.root = TrieNode::new();
self.length = 0;
}
}
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impl<T> Map<uint, T> for TrieMap<T> {
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/// Return a reference to the value corresponding to the key
#[inline]
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fn find<'a>(&'a self, key: &uint) -> Option<&'a T> {
let mut node: &'a TrieNode<T> = &self.root;
let mut idx = 0;
loop {
match node.children[chunk(*key, idx)] {
Internal(ref x) => node = &**x,
External(stored, ref value) => {
if stored == *key {
return Some(value)
} else {
return None
}
}
Nothing => return None
}
idx += 1;
}
}
}
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impl<T> MutableMap<uint, T> for TrieMap<T> {
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/// Return a mutable reference to the value corresponding to the key
#[inline]
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fn find_mut<'a>(&'a mut self, key: &uint) -> Option<&'a mut T> {
find_mut(&mut self.root.children[chunk(*key, 0)], *key, 1)
}
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/// Insert a key-value pair from the map. If the key already had a value
/// present in the map, that value is returned. Otherwise None is returned.
fn swap(&mut self, key: uint, value: T) -> Option<T> {
let ret = insert(&mut self.root.count,
&mut self.root.children[chunk(key, 0)],
key, value, 1);
if ret.is_none() { self.length += 1 }
ret
}
/// Removes a key from the map, returning the value at the key if the key
/// was previously in the map.
fn pop(&mut self, key: &uint) -> Option<T> {
let ret = remove(&mut self.root.count,
&mut self.root.children[chunk(*key, 0)],
*key, 1);
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if ret.is_some() { self.length -= 1 }
ret
}
}
impl<T> TrieMap<T> {
/// Create an empty TrieMap
#[inline]
pub fn new() -> TrieMap<T> {
TrieMap{root: TrieNode::new(), length: 0}
}
/// Visit all key-value pairs in reverse order
#[inline]
pub fn each_reverse<'a>(&'a self, f: |&uint, &'a T| -> bool) -> bool {
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self.root.each_reverse(f)
}
/// Visit all keys in reverse order
#[inline]
pub fn each_key_reverse(&self, f: |&uint| -> bool) -> bool {
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self.each_reverse(|k, _| f(k))
}
/// Visit all values in reverse order
#[inline]
pub fn each_value_reverse(&self, f: |&T| -> bool) -> bool {
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self.each_reverse(|_, v| f(v))
}
/// Get an iterator over the key-value pairs in the map
pub fn iter<'a>(&'a self) -> TrieMapIterator<'a, T> {
TrieMapIterator {
stack: ~[self.root.children.iter()],
remaining_min: self.length,
remaining_max: self.length
}
}
/// Get an iterator over the key-value pairs in the map, with the
/// ability to mutate the values.
pub fn mut_iter<'a>(&'a mut self) -> TrieMapMutIterator<'a, T> {
TrieMapMutIterator {
stack: ~[self.root.children.mut_iter()],
remaining_min: self.length,
remaining_max: self.length
}
}
}
// FIXME #5846 we want to be able to choose between &x and &mut x
// (with many different `x`) below, so we need to optionally pass mut
// as a tt, but the only thing we can do with a `tt` is pass them to
// other macros, so this takes the `& <mutability> <operand>` token
// sequence and forces their evalutation as an expression. (see also
// `item!` below.)
macro_rules! addr { ($e:expr) => { $e } }
macro_rules! bound {
($iterator_name:ident,
// the current treemap
self = $this:expr,
// the key to look for
key = $key:expr,
// are we looking at the upper bound?
is_upper = $upper:expr,
// method names for slicing/iterating.
slice_from = $slice_from:ident,
iter = $iter:ident,
// see the comment on `addr!`, this is just an optional mut, but
// there's no 0-or-1 repeats yet.
mutability = $($mut_:tt)*) => {
{
// # For `mut`
// We need an unsafe pointer here because we are borrowing
// mutable references to the internals of each of these
// mutable nodes, while still using the outer node.
//
// However, we're allowed to flaunt rustc like this because we
// never actually modify the "shape" of the nodes. The only
// place that mutation is can actually occur is of the actual
// values of the TrieMap (as the return value of the
// iterator), i.e. we can never cause a deallocation of any
// TrieNodes so the raw pointer is always valid.
//
// # For non-`mut`
// We like sharing code so much that even a little unsafe won't
// stop us.
let this = $this;
let mut node = addr!(& $($mut_)* this.root as * $($mut_)* TrieNode<T>);
let key = $key;
let mut idx = 0;
let mut it = $iterator_name {
stack: ~[],
remaining_min: 0,
remaining_max: this.length
};
// this addr is necessary for the `Internal` pattern.
addr!(loop {
let children = unsafe {addr!(& $($mut_)* (*node).children)};
let child_id = chunk(key, idx);
match children[child_id] {
Internal(ref $($mut_)* n) => {
node = addr!(& $($mut_)* **n as * $($mut_)* TrieNode<T>);
}
External(stored, _) => {
if stored < key || ($upper && stored == key) {
it.stack.push(children.$slice_from(child_id + 1).$iter());
} else {
it.stack.push(children.$slice_from(child_id).$iter());
}
return it;
}
Nothing => {
it.stack.push(children.$slice_from(child_id + 1).$iter());
return it
}
}
it.stack.push(children.$slice_from(child_id + 1).$iter());
idx += 1;
})
}
}
}
impl<T> TrieMap<T> {
// If `upper` is true then returns upper_bound else returns lower_bound.
#[inline]
fn bound<'a>(&'a self, key: uint, upper: bool) -> TrieMapIterator<'a, T> {
bound!(TrieMapIterator, self = self,
key = key, is_upper = upper,
slice_from = slice_from, iter = iter,
mutability = )
}
/// Get an iterator pointing to the first key-value pair whose key is not less than `key`.
/// If all keys in the map are less than `key` an empty iterator is returned.
pub fn lower_bound<'a>(&'a self, key: uint) -> TrieMapIterator<'a, T> {
self.bound(key, false)
}
/// Get an iterator pointing to the first key-value pair whose key is greater than `key`.
/// If all keys in the map are not greater than `key` an empty iterator is returned.
pub fn upper_bound<'a>(&'a self, key: uint) -> TrieMapIterator<'a, T> {
self.bound(key, true)
}
// If `upper` is true then returns upper_bound else returns lower_bound.
#[inline]
fn mut_bound<'a>(&'a mut self, key: uint, upper: bool) -> TrieMapMutIterator<'a, T> {
bound!(TrieMapMutIterator, self = self,
key = key, is_upper = upper,
slice_from = mut_slice_from, iter = mut_iter,
mutability = mut)
}
/// Get an iterator pointing to the first key-value pair whose key is not less than `key`.
/// If all keys in the map are less than `key` an empty iterator is returned.
pub fn mut_lower_bound<'a>(&'a mut self, key: uint) -> TrieMapMutIterator<'a, T> {
self.mut_bound(key, false)
}
/// Get an iterator pointing to the first key-value pair whose key is greater than `key`.
/// If all keys in the map are not greater than `key` an empty iterator is returned.
pub fn mut_upper_bound<'a>(&'a mut self, key: uint) -> TrieMapMutIterator<'a, T> {
self.mut_bound(key, true)
}
}
impl<T> FromIterator<(uint, T)> for TrieMap<T> {
fn from_iterator<Iter: Iterator<(uint, T)>>(iter: &mut Iter) -> TrieMap<T> {
let mut map = TrieMap::new();
map.extend(iter);
map
}
}
impl<T> Extendable<(uint, T)> for TrieMap<T> {
fn extend<Iter: Iterator<(uint, T)>>(&mut self, iter: &mut Iter) {
for (k, v) in *iter {
self.insert(k, v);
}
}
}
#[allow(missing_doc)]
pub struct TrieSet {
priv map: TrieMap<()>
}
impl Container for TrieSet {
/// Return the number of elements in the set
#[inline]
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fn len(&self) -> uint { self.map.len() }
}
impl Mutable for TrieSet {
/// Clear the set, removing all values.
#[inline]
fn clear(&mut self) { self.map.clear() }
}
impl TrieSet {
/// Create an empty TrieSet
#[inline]
pub fn new() -> TrieSet {
TrieSet{map: TrieMap::new()}
}
/// Return true if the set contains a value
#[inline]
pub fn contains(&self, value: &uint) -> bool {
self.map.contains_key(value)
}
/// Add a value to the set. Return true if the value was not already
/// present in the set.
#[inline]
pub fn insert(&mut self, value: uint) -> bool {
self.map.insert(value, ())
}
/// Remove a value from the set. Return true if the value was
/// present in the set.
#[inline]
pub fn remove(&mut self, value: &uint) -> bool {
self.map.remove(value)
}
/// Visit all values in reverse order
#[inline]
pub fn each_reverse(&self, f: |&uint| -> bool) -> bool {
self.map.each_key_reverse(f)
}
/// Get an iterator over the values in the set
#[inline]
pub fn iter<'a>(&'a self) -> TrieSetIterator<'a> {
TrieSetIterator{iter: self.map.iter()}
}
/// Get an iterator pointing to the first value that is not less than `val`.
/// If all values in the set are less than `val` an empty iterator is returned.
pub fn lower_bound<'a>(&'a self, val: uint) -> TrieSetIterator<'a> {
TrieSetIterator{iter: self.map.lower_bound(val)}
}
/// Get an iterator pointing to the first value that key is greater than `val`.
/// If all values in the set are not greater than `val` an empty iterator is returned.
pub fn upper_bound<'a>(&'a self, val: uint) -> TrieSetIterator<'a> {
TrieSetIterator{iter: self.map.upper_bound(val)}
}
}
impl FromIterator<uint> for TrieSet {
fn from_iterator<Iter: Iterator<uint>>(iter: &mut Iter) -> TrieSet {
let mut set = TrieSet::new();
set.extend(iter);
set
}
}
impl Extendable<uint> for TrieSet {
fn extend<Iter: Iterator<uint>>(&mut self, iter: &mut Iter) {
for elem in *iter {
self.insert(elem);
}
}
}
struct TrieNode<T> {
count: uint,
children: [Child<T>, ..SIZE]
}
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impl<T> TrieNode<T> {
#[inline]
fn new() -> TrieNode<T> {
// FIXME: #5244: [Nothing, ..SIZE] should be possible without implicit
// copyability
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TrieNode{count: 0,
children: [Nothing, Nothing, Nothing, Nothing,
Nothing, Nothing, Nothing, Nothing,
Nothing, Nothing, Nothing, Nothing,
Nothing, Nothing, Nothing, Nothing]}
}
}
impl<T> TrieNode<T> {
fn each_reverse<'a>(&'a self, f: |&uint, &'a T| -> bool) -> bool {
for elt in self.children.rev_iter() {
match *elt {
Internal(ref x) => if !x.each_reverse(|i,t| f(i,t)) { return false },
External(k, ref v) => if !f(&k, v) { return false },
Nothing => ()
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}
}
true
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}
}
// if this was done via a trait, the key could be generic
#[inline]
fn chunk(n: uint, idx: uint) -> uint {
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let sh = uint::bits - (SHIFT * (idx + 1));
(n >> sh) & MASK
}
fn find_mut<'r, T>(child: &'r mut Child<T>, key: uint, idx: uint) -> Option<&'r mut T> {
match *child {
External(stored, ref mut value) if stored == key => Some(value),
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External(..) => None,
Internal(ref mut x) => find_mut(&mut x.children[chunk(key, idx)], key, idx + 1),
Nothing => None
}
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}
fn insert<T>(count: &mut uint, child: &mut Child<T>, key: uint, value: T,
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idx: uint) -> Option<T> {
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let mut tmp = Nothing;
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let ret;
swap(&mut tmp, child);
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*child = match tmp {
External(stored_key, stored_value) => {
if stored_key == key {
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ret = Some(stored_value);
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External(stored_key, value)
} else {
// conflict - split the node
let mut new = ~TrieNode::new();
insert(&mut new.count,
&mut new.children[chunk(stored_key, idx)],
stored_key, stored_value, idx + 1);
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ret = insert(&mut new.count, &mut new.children[chunk(key, idx)],
key, value, idx + 1);
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Internal(new)
}
}
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Internal(x) => {
let mut x = x;
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ret = insert(&mut x.count, &mut x.children[chunk(key, idx)], key,
value, idx + 1);
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Internal(x)
}
Nothing => {
*count += 1;
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ret = None;
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External(key, value)
}
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};
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return ret;
}
fn remove<T>(count: &mut uint, child: &mut Child<T>, key: uint,
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idx: uint) -> Option<T> {
let (ret, this) = match *child {
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External(stored, _) if stored == key => {
match replace(child, Nothing) {
External(_, value) => (Some(value), true),
_ => fail!()
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}
}
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External(..) => (None, false),
Internal(ref mut x) => {
let ret = remove(&mut x.count, &mut x.children[chunk(key, idx)],
key, idx + 1);
(ret, x.count == 0)
}
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Nothing => (None, false)
};
if this {
*child = Nothing;
*count -= 1;
}
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return ret;
}
/// Forward iterator over a map
pub struct TrieMapIterator<'a, T> {
priv stack: ~[vec::VecIterator<'a, Child<T>>],
priv remaining_min: uint,
priv remaining_max: uint
}
/// Forward iterator over the key-value pairs of a map, with the
/// values being mutable.
pub struct TrieMapMutIterator<'a, T> {
priv stack: ~[vec::VecMutIterator<'a, Child<T>>],
priv remaining_min: uint,
priv remaining_max: uint
}
// FIXME #5846: see `addr!` above.
macro_rules! item { ($i:item) => {$i}}
macro_rules! iterator_impl {
($name:ident,
iter = $iter:ident,
mutability = $($mut_:tt)*) => {
item!(impl<'a, T> Iterator<(uint, &'a $($mut_)* T)> for $name<'a, T> {
fn next(&mut self) -> Option<(uint, &'a $($mut_)* T)> {
while !self.stack.is_empty() {
match self.stack[self.stack.len() - 1].next() {
None => {
self.stack.pop();
}
Some(child) => {
addr!(match *child {
Internal(ref $($mut_)* node) => {
self.stack.push(node.children.$iter());
}
External(key, ref $($mut_)* value) => {
self.remaining_max -= 1;
if self.remaining_min > 0 {
self.remaining_min -= 1;
}
return Some((key, value));
}
Nothing => {}
})
}
}
}
return None;
}
#[inline]
fn size_hint(&self) -> (uint, Option<uint>) {
(self.remaining_min, Some(self.remaining_max))
}
})
}
}
iterator_impl! { TrieMapIterator, iter = iter, mutability = }
iterator_impl! { TrieMapMutIterator, iter = mut_iter, mutability = mut }
/// Forward iterator over a set
pub struct TrieSetIterator<'a> {
priv iter: TrieMapIterator<'a, ()>
}
impl<'a> Iterator<uint> for TrieSetIterator<'a> {
fn next(&mut self) -> Option<uint> {
self.iter.next().map(|(key, _)| key)
}
fn size_hint(&self) -> (uint, Option<uint>) {
self.iter.size_hint()
}
}
#[cfg(test)]
pub fn check_integrity<T>(trie: &TrieNode<T>) {
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assert!(trie.count != 0);
let mut sum = 0;
for x in trie.children.iter() {
match *x {
Nothing => (),
Internal(ref y) => {
check_integrity(&**y);
sum += 1
}
External(_, _) => { sum += 1 }
}
}
assert_eq!(sum, trie.count);
}
#[cfg(test)]
mod test_map {
use super::*;
use prelude::*;
use iter::range_step;
use uint;
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#[test]
fn test_find_mut() {
let mut m = TrieMap::new();
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assert!(m.insert(1, 12));
assert!(m.insert(2, 8));
assert!(m.insert(5, 14));
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let new = 100;
match m.find_mut(&5) {
None => fail!(), Some(x) => *x = new
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}
assert_eq!(m.find(&5), Some(&new));
}
#[test]
fn test_find_mut_missing() {
let mut m = TrieMap::new();
assert!(m.find_mut(&0).is_none());
assert!(m.insert(1, 12));
assert!(m.find_mut(&0).is_none());
assert!(m.insert(2, 8));
assert!(m.find_mut(&0).is_none());
}
#[test]
fn test_step() {
let mut trie = TrieMap::new();
let n = 300u;
for x in range_step(1u, n, 2) {
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assert!(trie.insert(x, x + 1));
assert!(trie.contains_key(&x));
check_integrity(&trie.root);
}
for x in range_step(0u, n, 2) {
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assert!(!trie.contains_key(&x));
assert!(trie.insert(x, x + 1));
check_integrity(&trie.root);
}
for x in range(0u, n) {
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assert!(trie.contains_key(&x));
assert!(!trie.insert(x, x + 1));
check_integrity(&trie.root);
}
for x in range_step(1u, n, 2) {
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assert!(trie.remove(&x));
assert!(!trie.contains_key(&x));
check_integrity(&trie.root);
}
for x in range_step(0u, n, 2) {
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assert!(trie.contains_key(&x));
assert!(!trie.insert(x, x + 1));
check_integrity(&trie.root);
}
}
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#[test]
fn test_each_reverse() {
let mut m = TrieMap::new();
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assert!(m.insert(3, 6));
assert!(m.insert(0, 0));
assert!(m.insert(4, 8));
assert!(m.insert(2, 4));
assert!(m.insert(1, 2));
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let mut n = 4;
m.each_reverse(|k, v| {
assert_eq!(*k, n);
assert_eq!(*v, n * 2);
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n -= 1;
true
});
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}
#[test]
fn test_each_reverse_break() {
let mut m = TrieMap::new();
for x in range(uint::max_value - 10000, uint::max_value).invert() {
m.insert(x, x / 2);
}
let mut n = uint::max_value - 1;
m.each_reverse(|k, v| {
if n == uint::max_value - 5000 { false } else {
assert!(n > uint::max_value - 5000);
assert_eq!(*k, n);
assert_eq!(*v, n / 2);
n -= 1;
true
}
});
}
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#[test]
fn test_swap() {
let mut m = TrieMap::new();
assert_eq!(m.swap(1, 2), None);
assert_eq!(m.swap(1, 3), Some(2));
assert_eq!(m.swap(1, 4), Some(3));
}
#[test]
fn test_pop() {
let mut m = TrieMap::new();
m.insert(1, 2);
assert_eq!(m.pop(&1), Some(2));
assert_eq!(m.pop(&1), None);
}
#[test]
fn test_from_iter() {
let xs = ~[(1u, 1i), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6)];
let map: TrieMap<int> = xs.iter().map(|&x| x).collect();
for &(k, v) in xs.iter() {
assert_eq!(map.find(&k), Some(&v));
}
}
#[test]
fn test_iteration() {
let empty_map : TrieMap<uint> = TrieMap::new();
assert_eq!(empty_map.iter().next(), None);
let first = uint::max_value - 10000;
let last = uint::max_value;
let mut map = TrieMap::new();
for x in range(first, last).invert() {
map.insert(x, x / 2);
}
let mut i = 0;
for (k, &v) in map.iter() {
assert_eq!(k, first + i);
assert_eq!(v, k / 2);
i += 1;
}
assert_eq!(i, last - first);
}
#[test]
fn test_mut_iter() {
let mut empty_map : TrieMap<uint> = TrieMap::new();
assert!(empty_map.mut_iter().next().is_none());
let first = uint::max_value - 10000;
let last = uint::max_value;
let mut map = TrieMap::new();
for x in range(first, last).invert() {
map.insert(x, x / 2);
}
let mut i = 0;
for (k, v) in map.mut_iter() {
assert_eq!(k, first + i);
*v -= k / 2;
i += 1;
}
assert_eq!(i, last - first);
assert!(map.iter().all(|(_, &v)| v == 0));
}
#[test]
fn test_bound() {
let empty_map : TrieMap<uint> = TrieMap::new();
assert_eq!(empty_map.lower_bound(0).next(), None);
assert_eq!(empty_map.upper_bound(0).next(), None);
let last = 999u;
let step = 3u;
let value = 42u;
let mut map : TrieMap<uint> = TrieMap::new();
for x in range_step(0u, last, step) {
assert!(x % step == 0);
map.insert(x, value);
}
for i in range(0u, last - step) {
let mut lb = map.lower_bound(i);
let mut ub = map.upper_bound(i);
let next_key = i - i % step + step;
let next_pair = (next_key, &value);
if (i % step == 0) {
assert_eq!(lb.next(), Some((i, &value)));
} else {
assert_eq!(lb.next(), Some(next_pair));
}
assert_eq!(ub.next(), Some(next_pair));
}
let mut lb = map.lower_bound(last - step);
assert_eq!(lb.next(), Some((last - step, &value)));
let mut ub = map.upper_bound(last - step);
assert_eq!(ub.next(), None);
for i in range(last - step + 1, last) {
let mut lb = map.lower_bound(i);
assert_eq!(lb.next(), None);
let mut ub = map.upper_bound(i);
assert_eq!(ub.next(), None);
}
}
#[test]
fn test_mut_bound() {
let empty_map : TrieMap<uint> = TrieMap::new();
assert_eq!(empty_map.lower_bound(0).next(), None);
assert_eq!(empty_map.upper_bound(0).next(), None);
let mut m_lower = TrieMap::new();
let mut m_upper = TrieMap::new();
for i in range(0u, 100) {
m_lower.insert(2 * i, 4 * i);
m_upper.insert(2 * i, 4 * i);
}
for i in range(0u, 199) {
let mut lb_it = m_lower.mut_lower_bound(i);
let (k, v) = lb_it.next().unwrap();
let lb = i + i % 2;
assert_eq!(lb, k);
*v -= k;
}
for i in range(0u, 198) {
let mut ub_it = m_upper.mut_upper_bound(i);
let (k, v) = ub_it.next().unwrap();
let ub = i + 2 - i % 2;
assert_eq!(ub, k);
*v -= k;
}
assert!(m_lower.mut_lower_bound(199).next().is_none());
assert!(m_upper.mut_upper_bound(198).next().is_none());
assert!(m_lower.iter().all(|(_, &x)| x == 0));
assert!(m_upper.iter().all(|(_, &x)| x == 0));
}
}
#[cfg(test)]
mod test_set {
use super::*;
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use prelude::*;
use uint;
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#[test]
fn test_sane_chunk() {
let x = 1;
let y = 1 << (uint::bits - 1);
let mut trie = TrieSet::new();
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assert!(trie.insert(x));
assert!(trie.insert(y));
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assert_eq!(trie.len(), 2);
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let expected = [x, y];
for (i, x) in trie.iter().enumerate() {
assert_eq!(expected[i], x);
}
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}
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#[test]
fn test_from_iter() {
let xs = ~[9u, 8, 7, 6, 5, 4, 3, 2, 1];
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let set: TrieSet = xs.iter().map(|&x| x).collect();
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for x in xs.iter() {
assert!(set.contains(x));
}
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}
}