ruby - binary-search-tree

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James Walker 2018-10-10 20:24:56 -04:00
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# Binary Search Tree
Insert and search for numbers in a binary tree.
When we need to represent sorted data, an array does not make a good
data structure.
Say we have the array `[1, 3, 4, 5]`, and we add 2 to it so it becomes
`[1, 3, 4, 5, 2]` now we must sort the entire array again! We can
improve on this by realizing that we only need to make space for the new
item `[1, nil, 3, 4, 5]`, and then adding the item in the space we
added. But this still requires us to shift many elements down by one.
Binary Search Trees, however, can operate on sorted data much more
efficiently.
A binary search tree consists of a series of connected nodes. Each node
contains a piece of data (e.g. the number 3), a variable named `left`,
and a variable named `right`. The `left` and `right` variables point at
`nil`, or other nodes. Since these other nodes in turn have other nodes
beneath them, we say that the left and right variables are pointing at
subtrees. All data in the left subtree is less than or equal to the
current node's data, and all data in the right subtree is greater than
the current node's data.
For example, if we had a node containing the data 4, and we added the
data 2, our tree would look like this:
4
/
2
If we then added 6, it would look like this:
4
/ \
2 6
If we then added 3, it would look like this
4
/ \
2 6
\
3
And if we then added 1, 5, and 7, it would look like this
4
/ \
/ \
2 6
/ \ / \
1 3 5 7
* * * *
For installation and learning resources, refer to the
[exercism help page](http://exercism.io/languages/ruby).
For running the tests provided, you will need the Minitest gem. Open a
terminal window and run the following command to install minitest:
gem install minitest
If you would like color output, you can `require 'minitest/pride'` in
the test file, or note the alternative instruction, below, for running
the test file.
Run the tests from the exercise directory using the following command:
ruby binary_search_tree_test.rb
To include color from the command line:
ruby -r minitest/pride binary_search_tree_test.rb
## Source
Josh Cheek [https://twitter.com/josh_cheek](https://twitter.com/josh_cheek)
## Submitting Incomplete Solutions
It's possible to submit an incomplete solution so you can see how others have completed the exercise.

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# class Bst
class Bst
attr_reader :data, :left, :right
def initialize(data)
@data = data
end
def insert(data)
data <= @data ? insert_left(data) : insert_right(data)
end
def each(&block)
return enum_for(:each) unless block_given?
@left.each(&block) if left
yield data
@right.each(&block) if right
end
private
def insert_left(data)
@left ? @left.insert(data) : @left = self.class.new(data)
end
def insert_right(data)
@right ? @right.insert(data) : @right = self.class.new(data)
end
end

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require 'minitest/autorun'
require_relative 'binary_search_tree'
class BstTest < Minitest::Test
def test_data_is_retained
assert_equal 4, Bst.new(4).data
end
def test_inserting_less
# skip
four = Bst.new 4
four.insert 2
assert_equal 4, four.data
assert_equal 2, four.left.data
end
def test_inserting_same
# skip
four = Bst.new 4
four.insert 4
assert_equal 4, four.data
assert_equal 4, four.left.data
end
def test_inserting_right
# skip
four = Bst.new 4
four.insert 5
assert_equal 4, four.data
assert_equal 5, four.right.data
end
def test_complex_tree
# skip
four = Bst.new 4
four.insert 2
four.insert 6
four.insert 1
four.insert 3
four.insert 7
four.insert 5
assert_equal 4, four.data
assert_equal 2, four.left.data
assert_equal 1, four.left.left.data
assert_equal 3, four.left.right.data
assert_equal 6, four.right.data
assert_equal 5, four.right.left.data
assert_equal 7, four.right.right.data
end
def record_all_data(bst)
all_data = []
bst.each { |data| all_data << data }
all_data
end
def test_iterating_one_element
# skip
assert_equal [4], record_all_data(Bst.new(4))
end
def test_iterating_over_smaller_element
# skip
four = Bst.new 4
four.insert 2
assert_equal [2, 4], record_all_data(four)
end
def test_iterating_over_larger_element
# skip
four = Bst.new 4
four.insert 5
assert_equal [4, 5], record_all_data(four)
end
def test_iterating_over_complex_tree
# skip
four = Bst.new 4
four.insert 2
four.insert 1
four.insert 3
four.insert 6
four.insert 7
four.insert 5
assert_equal [1, 2, 3, 4, 5, 6, 7], record_all_data(four)
end
def test_each_returns_enumerator_if_no_block
# skip
tree = Bst.new 4
[2, 1, 3, 6, 7, 5].each { |x| tree.insert x }
each_enumerator = tree.each
assert_kind_of Enumerator, each_enumerator
(1..7).each { |x| assert_equal(x, each_enumerator.next) }
assert_raises(StopIteration) { each_enumerator.next }
end
end