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Ruby/RBTree\n\n== Description\n\nA RBTree is a sorted associative collection that is implemented with a\nRed-Black Tree. It maps keys to values like a Hash, but maintains its\nelements in ascending key order. The interface is the almost identical\nto that of Hash.\n\nA Red-Black Tree is a kind of binary tree that automatically balances\nby itself when a node is inserted or deleted. Lookup, insertion, and\ndeletion are performed in O(log N) time in the expected and worst\ncases. On the other hand, the average case complexity of\nlookup/insertion/deletion on a Hash is constant time. A Hash is\nusually faster than a RBTree where ordering is unimportant.\n\nThe elements of a RBTree are sorted using the \u003c=\u003e method of their keys\nor a Proc set by the readjust method. It means all keys should be\ncomparable with each other or a Proc that takes two keys should return\na negative integer, 0, or a positive integer as the first argument is\nless than, equal to, or greater than the second one.\n\nRBTree also provides a few additional methods to take advantage of the\nordering:\n\n* lower_bound, upper_bound, bound\n* first, last\n* shift, pop\n* reverse_each\n\n== Example\n\nA RBTree cannot contain duplicate keys. Use MultiRBTree that is the\nparent class of RBTree to store duplicate keys.\n\n  require \"rbtree\"\n  \n  rbtree = RBTree[\"c\", 10, \"a\", 20]\n  rbtree[\"b\"] = 30\n  p rbtree[\"b\"]              # =\u003e 30\n  rbtree.each do |k, v|\n    p [k, v]\n  end                        # =\u003e [\"a\", 20] [\"b\", 30] [\"c\", 10]\n  \n  mrbtree = MultiRBTree[\"c\", 10, \"a\", 20, \"e\", 30, \"a\", 40]\n  p mrbtree.lower_bound(\"b\") # =\u003e [\"c\", 10]\n  mrbtree.bound(\"a\", \"d\") do |k, v|\n    p [k, v]\n  end                        # =\u003e [\"a\", 20] [\"a\", 40] [\"c\", 10]\n\nNote: a RBTree cannot be modified during iteration.\n\n== Installation\n\nRun the following command.\n\n  $ sudo gem install rbtree\n\n== Changes\n=== 0.4.7\n* Use the typed data API, as the untyped data API will be removed in Ruby 4.1.\n\n=== 0.4.6\n* Make it work with clang 15.\n\n=== 0.4.5\n* Support Ruby 3.2.0-dev (development branch).\n\n=== 0.4.4\n* Remove the rb_safe_level warning on Ruby 2.7.\n\n=== 0.4.3\n* Quick bug fixes for Ruby 3.\n\n== License\n\nMIT License. Copyright (c) 2002-2013 OZAWA Takuma.\n\ndict.c and dict.h are modified copies that are originally in Kazlib\n1.20 written by Kaz Kylheku. Its license is similar to the MIT\nlicense. See dict.c and dict.h for the details. The web page of Kazlib\nis at http://www.kylheku.com/~kaz/kazlib.html.\n","funding_links":[],"readme_doi_urls":[],"works":{},"citation_counts":{},"total_citations":0,"keywords_from_contributors":["activejob","activerecord","mvc","repl","documentation-tool","rubygems","json-parser","strscan","lalr-parser-generator","parser-generator"],"project_url":"https://ruby.ecosyste.ms/api/v1/projects/22481","html_url":"https://ruby.ecosyste.ms/projects/22481"}