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//! # Making static containers dynamic
//!
//! Sometimes it's much easier to construct some data structure from
//! a predetermined set of data than to implement a way to update
//! this data structure with new elements after construction.
//!
//! E.g. it's trivial to make a perfectly balanced search tree
//! when the data is already known but not so trivial to keep its
//! balance after adding/deleting some elements.
//!
//! This crate provides a cheap workaround for the case of a data
//! structure not having any sensible method of insertion.
//!
//! ## Example
//!
//! Suppose you have a sorted vector:
//!
//! ```
//! # use core::iter::FromIterator;
//! struct SortedVec<T> {
//! vec: Vec<T>
//! }
//!
//! impl<T: Ord> FromIterator<T> for SortedVec<T> {
//! fn from_iter<I>(iter: I) -> Self where
//! I: IntoIterator<Item=T>
//! {
//! let mut vec: Vec<_> = iter.into_iter().collect();
//!
//! vec.sort();
//!
//! SortedVec { vec }
//! }
//! }
//! ```
//!
//! This is almost a perfect data structure for many use cases but every
//! insertion is on the average linear in the length of the array.
//!
//! This crate provides a struct [`Dynamic`]:
//!
//! ```
//! # struct SortedVec<T> { t: T }
//! use dynamization::Dynamic;
//!
//! type DynamicSortedVec<T> = Dynamic<SortedVec<T>>;
//! ```
//!
//! which groups the stored data into independent
//! [`units`](Dynamic::units) of different sizes.
//! The unit sizes are selected in such a way to make single-element
//! insertions on the average logarithmic.
//!
//! The only thing needed to make [`Dynamic`] work is
//! to implement the [`Static`] trait:
//!
//! ```
//! # use core::iter::FromIterator;
//! # struct SortedVec<T> { vec: Vec<T> }
//! # impl<T: Ord> FromIterator<T> for SortedVec<T> {
//! # fn from_iter<I>(iter: I) -> Self where
//! # I: IntoIterator<Item=T> {
//! # let mut vec: Vec<_> = iter.into_iter().collect();
//! # vec.sort();
//! # SortedVec { vec }}}
//! use dynamization::Static;
//!
//! impl<T: Ord> Static for SortedVec<T> {
//! fn len(&self) -> usize {
//! self.vec.len()
//! }
//!
//! fn merge_with(self, other: Self) -> Self {
//! // Only for documentation purposes: two sorted arrays can be merged
//! // much more efficiently than sorting the concatenation result!
//! self.vec.into_iter().chain(other.vec).collect()
//! }
//! }
//! ```
//!
//! Now `DynamicSortedVec` has the [`add_unit`](Dynamic::add_unit) method.
//!
//! An optional trait [`Singleton`] can also be
//! implemented to make the [`insert`](Dynamic::insert) method
//! available:
//! ```
//! # struct SortedVec<T> { vec: Vec<T> }
//! use dynamization::Singleton;
//!
//! impl<T> Singleton for SortedVec<T> {
//! type Item = T;
//!
//! fn singleton(item: Self::Item) -> Self {
//! SortedVec { vec: vec![item] }
//! }
//! }
//! ```
//!
//! Now you can use `DynamicSortedVec` as a rather efficient universal
//! data structure:
//!
//! ```
//! # use dynamization::{ Static, Dynamic, Singleton };
//! # use core::iter::FromIterator;
//! # struct SortedVec<T> { vec: Vec<T> }
//! # impl<T: Ord> FromIterator<T> for SortedVec<T> {
//! # fn from_iter<I>(iter: I) -> Self where
//! # I: IntoIterator<Item=T> {
//! # let mut vec: Vec<_> = iter.into_iter().collect();
//! # vec.sort();
//! # SortedVec { vec }}}
//! # impl<T: Ord> Static for SortedVec<T> {
//! # fn len(&self) -> usize { self.vec.len() }
//! # fn merge_with(self, other: Self) -> Self {
//! # self.vec.into_iter().chain(other.vec).collect()
//! # }
//! # }
//! # impl<T> Singleton for SortedVec<T> {
//! # type Item = T;
//! # fn singleton(item: Self::Item) -> Self {SortedVec {vec:vec![item]}}
//! # }
//! # type DynamicSortedVec<T> = Dynamic<SortedVec<T>>;
//! let mut foo = DynamicSortedVec::new();
//! for x in vec![(1, "one"), (5, "five"), (4, "four"), (3, "tree"), (6, "six")] {
//! foo.insert(x);
//! }
//!
//! // Each query now must be implemented in terms of partial containers:
//! foo.units_mut().filter_map(|unit| {
//! unit.vec
//! .binary_search_by_key(&3, |pair| pair.0)
//! .ok()
//! .map(move |index| &mut unit.vec[index])
//! }).for_each(|three| {
//! assert_eq!(three, &(3, "tree"));
//! three.1 = "three";
//! });
//!
//! // A dynamic structure can be "freezed" with .try_collect():
//! assert_eq!(foo.try_collect().unwrap().vec, vec![
//! (1, "one"),
//! (3, "three"),
//! (4, "four"),
//! (5, "five"),
//! (6, "six"),
//! ]);
//! ```
////////////////////////
// SOME PRELIMINARIES //
////////////////////////
extern crate alloc;
use Vec;
///////////////////
// THE MAIN PART //
///////////////////
/// A trait that a static container must implement to become dynamizable.
/// A trait which can be implemented to provide a dynamized structure
/// with a convenient [`insert`](Dynamic::insert) method.
use Strategy;
/// A dynamic version of `Container`.
/// Shared-reference iterator over all the partial containers.
/// Unique-reference iterator over all the partial containers.
/// Owning iterator over all the partial containers.