lib: add Set::union and Set::intersection from pep8analysis

[nit.git] / lib / standard / collection / abstract_collection.nit

# This file is part of NIT ( http://www.nitlanguage.org ).
#
# Copyright 2004-2008 Jean Privat <jean@pryen.org>
#
# This file is free software, which comes along with NIT.  This software is
# distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY;
# without  even  the implied warranty of  MERCHANTABILITY or  FITNESS FOR A 
# PARTICULAR PURPOSE.  You can modify it is you want,  provided this header
# is kept unaltered, and a notification of the changes is added.
# You  are  allowed  to  redistribute it and sell it, alone or is a part of
# another product.

# This module define several abstract collection classes.
module abstract_collection

import kernel

# The root of the collection hierarchy.
#
# Collections modelize finite groups of objects, called elements.
#
# The specific behavior and representation of collections is determined
# by the subclasses of the hierarchy.
#
# The main service of Collection is to provide a stable `iterator`
# method usable to retrieve all the elements of the collection.
#
# Additional services are provided.
# For an implementation point of view, Collection provide a basic
# implementation of these services using the `iterator` method.
# Subclasses often provide a more efficient implementation.
#
# Because of the `iterator` method, Collections instances can use
# the `for` control structure:
#
#         var x: Collection[U]
#         # ...
#         for u in x do
#             # u is a U
#             # ...
#         end
#
# that is equivalent with
#
#         var x: Collection[U]
#         # ...
#         var i = x.iterator
#         while i.is_ok do
#             var u = i.item # u is a U
#             # ...
#             i.next
#         end
interface Collection[E]
        # Get a new iterator on the collection.
        fun iterator: Iterator[E] is abstract

        # Is there no item in the collection?
        #
        #     assert [1,2,3].is_empty  == false
        #     assert [1..1[.is_empty   == true
        fun is_empty: Bool do return length == 0

        # Number of items in the collection.
        #
        #     assert [10,20,30].length == 3
        #     assert [20..30[.length   == 10
        fun length: Int
        do
                var nb = 0
                for i in self do nb += 1
                return nb
        end


        # Is `item` in the collection ?
        # Comparisons are done with ==
        #
        #     assert [1,2,3].has(2)    == true
        #     assert [1,2,3].has(9)    == false
        #     assert [1..5[.has(2)     == true
        #     assert [1..5[.has(9)     == false
        fun has(item: E): Bool
        do
                for i in self do if i == item then return true
                return false
        end

        # Is the collection contain only `item`?
        # Comparisons are done with ==
        # Return true if the collection is empty.
        #
        #     assert [1,1,1].has_only(1)         == true
        #     assert [1,2,3].has_only(1)         == false
        #     assert [1..1].has_only(1)          == true
        #     assert [1..3].has_only(1)          == false
        #     assert [3..3[.has_only(1)          == true # empty collection
        #
        # ENSURE `is_empty implies result == true`
        fun has_only(item: E): Bool
        do
                for i in self do if i != item then return false
                return true
        end

        # How many occurrences of `item` are in the collection?
        # Comparisons are done with ==
        #
        #    assert [10,20,10].count(10)         == 2
        fun count(item: E): Int
        do
                var nb = 0
                for i in self do if i == item then nb += 1
                return nb
        end

        # Return one the item of the collection
        #
        #    assert [1,2,3].first                == 1
        fun first: E
        do
                assert length > 0
                return iterator.item
        end

        # Is the collection contains all the elements of `other`?
        #
        #    assert [1,1,1].has_all([1])         == true
        #    assert [1,1,1].has_all([1,2])       == false
        #    assert [1,3,4,2].has_all([1..2])    == true
        #    assert [1,3,4,2].has_all([1..5])    == false
        fun has_all(other: Collection[E]): Bool
        do
                for x in other do if not has(x) then return false
                return true
        end
end

# Instances of the Iterator class generates a series of elements, one at a time.
# They are mainly used with collections.
interface Iterator[E]
        # The current item.
        # Require `is_ok`.
        fun item: E is abstract

        # Jump to the next item.
        # Require `is_ok`.
        fun next is abstract

        # Is there a current item ?
        fun is_ok: Bool is abstract
end

# A collection that contains only one item.
class Container[E]
        super Collection[E]

        redef fun first do return _item

        redef fun is_empty do return false

        redef fun length do return 1

        redef fun has(an_item) do return _item == an_item

        redef fun has_only(an_item) do return _item == an_item

        redef fun count(an_item)
        do
                if _item == an_item then
                        return 1
                else
                        return 0
                end
        end

        redef fun iterator do return new ContainerIterator[E](self)

        # Create a new instance with a given initial value.
        init(e: E) do _item = e

        # The stored item
        readable writable var _item: E
end

# This iterator is quite stupid since it is used for only one item.
class ContainerIterator[E]
        super Iterator[E]
        redef fun item do return _container.item

        redef fun next do _is_ok = false

        init(c: Container[E]) do _container = c

        redef readable var _is_ok: Bool = true

        var _container: Container[E]
end

# Items can be removed from this collection
interface RemovableCollection[E]
        super Collection[E]
        # Remove all items
        fun clear is abstract

        # Remove an occucence of `item`
        fun remove(item: E) is abstract

        # Remove all occurences of `item`
        fun remove_all(item: E) do while has(item) do remove(item)
end

# Items can be added to these collections.
interface SimpleCollection[E]
        super RemovableCollection[E]
        # Add an item in a collection.
        # Ensure col.has(item)
        fun add(item: E) is abstract

        # Add each item of `coll`.
        fun add_all(coll: Collection[E]) do for i in coll do add(i)
end

# Abstract sets.
#
# Set contains contains only one element with the same value (according to ==).
#      var s: Set[String] = new ArraySet[String]
#      var a = "Hello"
#      var b = "Hel" + "lo"
#      # ...
#      s.add(a)
#      assert s.has(b)      ==  true
interface Set[E: Object]
        super SimpleCollection[E]

        redef fun has_only(item)
        do
                var l = length
                if l == 1 then
                        return has(item)
                else if l == 0 then
                        return true
                else
                        return false
                end
        end

        # Only 0 or 1
        redef fun count(item)
        do
                if has(item) then
                        return 1
                else
                        return 0
                end
        end

        # Synonym of remove since there is only one item
        redef fun remove_all(item) do remove(item)

        # Equality is defined on set and means that each set contains the same elements
        redef fun ==(other)
        do
                if not other isa Set[Object] then return false
                if other.length != length then return false
                return has_all(other)
        end

        # because of the law between `==` and `hash`, hash is redefined to be the sum of the hash of the elements
        redef fun hash
        do
                var res = 0
                for e in self do res += res.hash
                return res
        end

        # Returns the union of this set with the `other` set
        fun union(other: Set[E]): Set[E]
        do
                var nhs = new_set
                nhs.add_all self
                nhs.add_all other
                return nhs
        end

        # Returns the intersection of this set with the `other` set
        fun intersection(other: Set[E]): Set[E]
        do
                var nhs = new_set
                for v in self do if other.has(v) then nhs.add(v)
                return nhs
        end

        protected fun new_set: Set[E] is abstract
end

# MapRead are abstract associative collections: `key` -> `item`.
interface MapRead[K: Object, E]
        # Get the item at `key`.
        fun [](key: K): E is abstract

        # Get the item at `key` or return `default` if not in map
        fun get_or_default(key: K, default: E): E
        do
                if has_key(key) then return self[key]
                return default
        end

        # Depreciated alias for `keys.has`
        fun has_key(key: K): Bool do return self.keys.has(key)

        # Get a new iterator on the map.
        fun iterator: MapIterator[K, E] is abstract

        # Return the point of view of self on the values only.
        # Note that `self` and `values` are views on the same data;
        # therefore any modification of one is visible on the other.
        fun values: Collection[E] is abstract

        # Return the point of view of self on the keys only.
        # Note that `self` and `keys` are views on the same data;
        # therefore any modification of one is visible on the other.
        fun keys: Collection[K] is abstract

        # Is there no item in the collection?
        fun is_empty: Bool is abstract

        # Number of items in the collection.
        fun length: Int is abstract
end

# Maps are associative collections: `key` -> `item`.
#
# The main operator over maps is [].
#
#     var map: Map[String, Int] = new ArrayMap[String, Int]
#     # ...
#     map["one"] = 1      # Associate 'one' to '1'
#     map["two"] = 2      # Associate 'two' to '2'
#     assert map["one"]             ==  1
#     assert map["two"]             ==  2
#
# Instances of maps can be used with the for structure
#
#     for key, value in map do
#         assert (key == "one" and value == 1) or (key == "two" and value == 2)
#     end
#
# The keys and values in the map can also be manipulated directly with the `keys` and `values` methods.
#
#     assert map.keys.has("one")    ==  true
#     assert map.keys.has("tree")   ==  false
#     assert map.values.has(1)      ==  true
#     assert map.values.has(3)      ==  false
#
interface Map[K: Object, E]
        super MapRead[K, E]
        # Set the`item` at `key`.
        fun []=(key: K, item: E) is abstract

        # Add each (key,value) of `map` into `self`.
        # If a same key exists in `map` and `self`, then the value in self is discarded.
        fun recover_with(map: Map[K, E])
        do
                var i = map.iterator
                while i.is_ok do
                        self[i.key] = i.item
                        i.next
                end
        end

        # Remove all items
        fun clear is abstract

        redef fun values: RemovableCollection[E] is abstract

        redef fun keys: RemovableCollection[K] is abstract
end

# Iterators for Map.
interface MapIterator[K: Object, E]
        # The current item.
        # Require `is_ok`.
        fun item: E is abstract

        # The key of the current item.
        # Require `is_ok`.
        fun key: K is abstract

        # Jump to the next item.
        # Require `is_ok`.
        fun next is abstract

        # Is there a current item ?
        fun is_ok: Bool is abstract

        # Set a new `item` at `key`.
        #fun item=(item: E) is abstract
end

# Iterator on a 'keys' point of view of a map
class MapKeysIterator[K: Object, V]
        super Iterator[K]
        # The original iterator
        var iterator: MapIterator[K, V]

        redef fun is_ok do return self.iterator.is_ok
        redef fun next do self.iterator.next
        redef fun item do return self.iterator.key
end

# Iterator on a 'values' point of view of a map
class MapValuesIterator[K: Object, V]
        super Iterator[V]
        # The original iterator
        var iterator: MapIterator[K, V]

        redef fun is_ok do return self.iterator.is_ok
        redef fun next do self.iterator.next
        redef fun item do return self.iterator.item
end

# Sequences are indexed collections.
# The first item is 0. The last is `length-1`.
interface SequenceRead[E]
        super Collection[E]
        # Get the first item.
        # Is equivalent with `self[0]`.
        redef fun first
        do
                assert not_empty: not is_empty
                return self[0]
        end

        # Return the index=th element of the sequence.
        # The first element is 0 and the last if `length-1`
        # If index is invalid, the program aborts
        fun [](index: Int): E is abstract

        # Get the last item.
        # Is equivalent with `self[length-1]`.
        fun last: E
        do
                assert not_empty: not is_empty
                return self[length-1]
        end

        # Return the index of the first occurrence of `item`.
        # Return -1 if `item` is not found
        # Comparison is done with ==
        fun index_of(item: E): Int
        do
                var i = iterator
                while i.is_ok do
                        if i.item == item then return i.index
                        i.next
                end
                return -1
        end

        redef fun iterator: IndexedIterator[E] is abstract

        # Two sequences are equals if they have the same items in the same order.
        redef fun ==(o)
        do
                if not o isa SequenceRead[nullable Object] then return false
                var l = length
                if o.length != l then return false
                var i = 0
                while i < l do
                        if self[i] != o[i] then return false
                        i += 1
                end
                return true
        end

        # because of the law between `==` and `hash`, hash is redefined to be the sum of the hash of the elements
        redef fun hash
        do
                var res = 0
                for e in self do res += res.hash
                return res
        end
end

# Sequence are indexed collection.
# The first item is 0. The last is `length-1`.
interface Sequence[E]
        super SequenceRead[E]
        super SimpleCollection[E]

        # Set the first item.
        # Is equivalent with `self[0] = item`.
        fun first=(item: E)
        do self[0] = item end

        # Set the last item.
        # Is equivalent with `self[length-1] = item`.
        fun last=(item: E) 
        do 
                var l = length
                if l > 0 then
                        self[l-1] = item
                else
                        self[0] = item
                end
        end

        # A synonym of `push`
        redef fun add(e) do push(e)

        # Add an item after the last.
        fun push(e: E) is abstract

        # Add each item of `coll` after the last.
        fun append(coll: Collection[E]) do for i in coll do push(i)

        # Remove the last item.
        fun pop: E is abstract

        # Add an item before the last.
        fun unshift(e: E) is abstract

        # Remove the first item.
        # The second item become the first.
        fun shift: E is abstract

        # Set the `item` at `index`.
        fun []=(index: Int, item: E) is abstract

        # Remove the item at `index` and shift all following elements
        fun remove_at(index: Int) is abstract
end

# Iterators on indexed collections.
interface IndexedIterator[E]
        super Iterator[E]
        # The index of the current item.
        fun index: Int is abstract
end

# Associative arrays that internally uses couples to represent each (key, value) pairs.
interface CoupleMap[K: Object, E]
        super Map[K, E]
        # Return the couple of the corresponding key
        # Return null if the key is no associated element
        protected fun couple_at(key: K): nullable Couple[K, E] is abstract

        redef fun [](key)
        do
                var c = couple_at(key)
                if c == null then
                        abort
                else
                        return c.second
                end
        end
end

# Iterator on CoupleMap
#
# Actually is is a wrapper around an iterator of the internal array of the map.
class CoupleMapIterator[K: Object, E]
        super MapIterator[K, E]
        redef fun item do return _iter.item.second
        
        #redef fun item=(e) do _iter.item.second = e

        redef fun key do return _iter.item.first

        redef fun is_ok do return _iter.is_ok

        redef fun next
        do 
                _iter.next
        end

        var _iter: Iterator[Couple[K,E]]

        init(i: Iterator[Couple[K,E]]) do _iter = i
end

# Some tools ###################################################################

# Two objects in a simple structure.
class Couple[F, S]

        # The first element of the couple.
        readable writable var _first: F

        # The second element of the couple.
        readable writable var _second: S

        # Create a new instance with a first and a second object.
        init(f: F, s: S)
        do
                _first = f
                _second = s
        end
end