diff --git a/.editorconfig b/.editorconfig
new file mode 100644
index 0000000..3391ef2
--- /dev/null
+++ b/.editorconfig
@@ -0,0 +1,5 @@
+root = true
+
+[*.{kt,kts}]
+ktlint_code_style = intellij_idea
+max_line_length = 120
\ No newline at end of file
diff --git a/.gitattributes b/.gitattributes
new file mode 100644
index 0000000..097f9f9
--- /dev/null
+++ b/.gitattributes
@@ -0,0 +1,9 @@
+#
+# https://help.github.com/articles/dealing-with-line-endings/
+#
+# Linux start script should use lf
+/gradlew text eol=lf
+
+# These are Windows script files and should use crlf
+*.bat text eol=crlf
+
diff --git a/.github/.keep b/.github/.keep
deleted file mode 100644
index e69de29..0000000
diff --git a/.github/workflows/coverage.yml b/.github/workflows/coverage.yml
new file mode 100644
index 0000000..6f3fa5d
--- /dev/null
+++ b/.github/workflows/coverage.yml
@@ -0,0 +1,40 @@
+name: Coverage Test
+
+on:
+ push:
+jobs:
+ Coverage:
+ runs-on: ubuntu-latest
+
+ steps:
+ - name: Checkout repo
+ uses: actions/checkout@v4
+
+ - name: Set up JDK 17
+ uses: actions/setup-java@v4
+ with:
+ java-version: '17'
+ distribution: 'oracle'
+
+ - name: Setup Gradle
+ uses: gradle/actions/setup-gradle@417ae3ccd767c252f5661f1ace9f835f9654f2b5
+
+ - name: Run Test Coverage
+ run: ./gradlew jacocoTestReport
+
+ - name: Jacoco Test Coverage Report
+ uses: cicirello/jacoco-badge-generator@v2.8.0
+ with:
+ generate-branches-badge: true
+ jacoco-csv-file: lib/build/jacoco/report.csv
+
+ - name: Add coverage to PR
+ id: jacoco
+ uses: madrapps/jacoco-report@v1.6.1
+ with:
+ paths: |
+ ${{ github.workspace }}/**/build/reports/jacoco/prodNormalDebugCoverage/prodNormalDebugCoverage.xml,
+ ${{ github.workspace }}/**/build/reports/jacoco/**/debugCoverage.xml
+ token: ${{ secrets.GITHUB_TOKEN }}
+ min-coverage-overall: 40
+ update-comment: true
diff --git a/.github/workflows/gradle-build.yml b/.github/workflows/gradle-build.yml
new file mode 100644
index 0000000..d01a63a
--- /dev/null
+++ b/.github/workflows/gradle-build.yml
@@ -0,0 +1,22 @@
+name: Build & Test
+
+on:
+ push:
+jobs:
+ build:
+ runs-on: ${{ matrix.os }}
+ strategy:
+ matrix:
+ os: [ubuntu-latest, macos-latest]
+ steps:
+ - name: Checkout repository
+ uses: actions/checkout@v4
+
+ - name: Set up JDK 17
+ uses: actions/setup-java@v4
+ with:
+ distribution: "oracle"
+ java-version: '17'
+
+ - name: Clean, Build and Test
+ run: ./gradlew clean build
\ No newline at end of file
diff --git a/.github/workflows/megalinter.yml b/.github/workflows/megalinter.yml
new file mode 100644
index 0000000..685c55a
--- /dev/null
+++ b/.github/workflows/megalinter.yml
@@ -0,0 +1,89 @@
+---
+# MegaLinter GitHub Action configuration file
+# More info at https://megalinter.io
+name: MegaLinter
+
+on:
+ # Trigger mega-linter at every push. Action will also be visible from Pull Requests to main
+ push: # Comment this line to trigger action only on pull-requests (not recommended if you don't pay for GH Actions)
+
+env: # Comment env block if you don't want to apply fixes
+ # Apply linter fixes configuration
+ APPLY_FIXES: all # When active, APPLY_FIXES must also be defined as environment variable (in github/workflows/mega-linter.yml or other CI tool)
+ APPLY_FIXES_EVENT: pull_request # Decide which event triggers application of fixes in a commit or a PR (pull_request, push, all)
+ APPLY_FIXES_MODE: commit # If APPLY_FIXES is used, defines if the fixes are directly committed (commit) or posted in a PR (pull_request)
+ ENABLE_LINTERS: KOTLIN_KTLINT
+concurrency:
+ group: ${{ github.ref }}-${{ github.workflow }}
+ cancel-in-progress: true
+
+jobs:
+ megalinter:
+ name: MegaLinter
+ runs-on: ubuntu-latest
+ permissions:
+ # Give the default GITHUB_TOKEN write permission to commit and push, comment issues & post new PR
+ # Remove the ones you do not need
+ contents: write
+ issues: write
+ pull-requests: write
+ steps:
+ # Git Checkout
+ - name: Checkout Code
+ uses: actions/checkout@v3
+ with:
+ token: ${{ secrets.PAT || secrets.GITHUB_TOKEN }}
+ fetch-depth: 0 # If you use VALIDATE_ALL_CODEBASE = true, you can remove this line to improve performances
+
+ # MegaLinter
+ - name: MegaLinter
+ id: ml
+ # You can override MegaLinter flavor used to have faster performances
+ # More info at https://megalinter.io/flavors/
+ uses: oxsecurity/megalinter@v7
+ env:
+ # All available variables are described in documentation
+ # https://megalinter.io/configuration/
+ VALIDATE_ALL_CODEBASE: ${{ github.event_name == 'push' && github.ref == 'refs/heads/main' }} # Validates all source when push on main, else just the git diff with main. Override with true if you always want to lint all sources
+ GITHUB_TOKEN: ${{ secrets.GITHUB_TOKEN }}
+ # ADD YOUR CUSTOM ENV VARIABLES HERE OR DEFINE THEM IN A FILE .mega-linter.yml AT THE ROOT OF YOUR REPOSITORY
+ # DISABLE: COPYPASTE,SPELL # Uncomment to disable copy-paste and spell checks
+
+ # Upload MegaLinter artifacts
+ - name: Archive production artifacts
+ if: success() || failure()
+ uses: actions/upload-artifact@v4
+ with:
+ name: MegaLinter reports
+ path: |
+ megalinter-reports
+ mega-linter.log
+
+ # Create pull request if applicable (for now works only on PR from same repository, not from forks)
+ - name: Create Pull Request with applied fixes
+ id: cpr
+ if: steps.ml.outputs.has_updated_sources == 1 && (env.APPLY_FIXES_EVENT == 'all' || env.APPLY_FIXES_EVENT == github.event_name) && env.APPLY_FIXES_MODE == 'pull_request' && (github.event_name == 'push' || github.event.pull_request.head.repo.full_name == github.repository) && !contains(github.event.head_commit.message, 'skip fix')
+ uses: peter-evans/create-pull-request@v6
+ with:
+ token: ${{ secrets.PAT || secrets.GITHUB_TOKEN }}
+ commit-message: "[MegaLinter] Apply linters automatic fixes"
+ title: "[MegaLinter] Apply linters automatic fixes"
+ labels: bot
+ - name: Create PR output
+ if: steps.ml.outputs.has_updated_sources == 1 && (env.APPLY_FIXES_EVENT == 'all' || env.APPLY_FIXES_EVENT == github.event_name) && env.APPLY_FIXES_MODE == 'pull_request' && (github.event_name == 'push' || github.event.pull_request.head.repo.full_name == github.repository) && !contains(github.event.head_commit.message, 'skip fix')
+ run: |
+ echo "Pull Request Number - ${{ steps.cpr.outputs.pull-request-number }}"
+ echo "Pull Request URL - ${{ steps.cpr.outputs.pull-request-url }}"
+
+ # Push new commit if applicable (for now works only on PR from same repository, not from forks)
+ - name: Prepare commit
+ if: steps.ml.outputs.has_updated_sources == 1 && (env.APPLY_FIXES_EVENT == 'all' || env.APPLY_FIXES_EVENT == github.event_name) && env.APPLY_FIXES_MODE == 'commit' && github.ref != 'refs/heads/main' && (github.event_name == 'push' || github.event.pull_request.head.repo.full_name == github.repository) && !contains(github.event.head_commit.message, 'skip fix')
+ run: sudo chown -Rc $UID .git/
+ - name: Commit and push applied linter fixes
+ if: steps.ml.outputs.has_updated_sources == 1 && (env.APPLY_FIXES_EVENT == 'all' || env.APPLY_FIXES_EVENT == github.event_name) && env.APPLY_FIXES_MODE == 'commit' && github.ref != 'refs/heads/main' && (github.event_name == 'push' || github.event.pull_request.head.repo.full_name == github.repository) && !contains(github.event.head_commit.message, 'skip fix')
+ uses: stefanzweifel/git-auto-commit-action@v4
+ with:
+ branch: ${{ github.event.pull_request.head.ref || github.head_ref || github.ref }}
+ commit_message: "[MegaLinter] Apply linters fixes"
+ commit_user_name: megalinter-bot
+ commit_user_email: nicolas.vuillamy@ox.security
\ No newline at end of file
diff --git a/.gitignore b/.gitignore
new file mode 100644
index 0000000..3e8f2f6
--- /dev/null
+++ b/.gitignore
@@ -0,0 +1,7 @@
+# Ignore Gradle project-specific cache directory
+.gradle
+
+# Ignore Gradle build output directory
+build
+/.idea/
+/megalinter-reports/
diff --git a/LICENSE b/LICENSE
new file mode 100644
index 0000000..f288702
--- /dev/null
+++ b/LICENSE
@@ -0,0 +1,674 @@
+ GNU GENERAL PUBLIC LICENSE
+ Version 3, 29 June 2007
+
+ Copyright (C) 2007 Free Software Foundation, Inc.
+ Everyone is permitted to copy and distribute verbatim copies
+ of this license document, but changing it is not allowed.
+
+ Preamble
+
+ The GNU General Public License is a free, copyleft license for
+software and other kinds of works.
+
+ The licenses for most software and other practical works are designed
+to take away your freedom to share and change the works. By contrast,
+the GNU General Public License is intended to guarantee your freedom to
+share and change all versions of a program--to make sure it remains free
+software for all its users. We, the Free Software Foundation, use the
+GNU General Public License for most of our software; it applies also to
+any other work released this way by its authors. You can apply it to
+your programs, too.
+
+ When we speak of free software, we are referring to freedom, not
+price. Our General Public Licenses are designed to make sure that you
+have the freedom to distribute copies of free software (and charge for
+them if you wish), that you receive source code or can get it if you
+want it, that you can change the software or use pieces of it in new
+free programs, and that you know you can do these things.
+
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+these rights or asking you to surrender the rights. Therefore, you have
+certain responsibilities if you distribute copies of the software, or if
+you modify it: responsibilities to respect the freedom of others.
+
+ For example, if you distribute copies of such a program, whether
+gratis or for a fee, you must pass on to the recipients the same
+freedoms that you received. You must make sure that they, too, receive
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+know their rights.
+
+ Developers that use the GNU GPL protect your rights with two steps:
+(1) assert copyright on the software, and (2) offer you this License
+giving you legal permission to copy, distribute and/or modify it.
+
+ For the developers' and authors' protection, the GPL clearly explains
+that there is no warranty for this free software. For both users' and
+authors' sake, the GPL requires that modified versions be marked as
+changed, so that their problems will not be attributed erroneously to
+authors of previous versions.
+
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+ The precise terms and conditions for copying, distribution and
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+
+ TERMS AND CONDITIONS
+
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+ "This License" refers to version 3 of the GNU General Public License.
+
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+ The "source code" for a work means the preferred form of the work
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+ Additional terms, permissive or non-permissive, may be stated in the
+form of a separately written license, or stated as exceptions;
+the above requirements apply either way.
+
+ 8. Termination.
+
+ You may not propagate or modify a covered work except as expressly
+provided under this License. Any attempt otherwise to propagate or
+modify it is void, and will automatically terminate your rights under
+this License (including any patent licenses granted under the third
+paragraph of section 11).
+
+ However, if you cease all violation of this License, then your
+license from a particular copyright holder is reinstated (a)
+provisionally, unless and until the copyright holder explicitly and
+finally terminates your license, and (b) permanently, if the copyright
+holder fails to notify you of the violation by some reasonable means
+prior to 60 days after the cessation.
+
+ Moreover, your license from a particular copyright holder is
+reinstated permanently if the copyright holder notifies you of the
+violation by some reasonable means, this is the first time you have
+received notice of violation of this License (for any work) from that
+copyright holder, and you cure the violation prior to 30 days after
+your receipt of the notice.
+
+ Termination of your rights under this section does not terminate the
+licenses of parties who have received copies or rights from you under
+this License. If your rights have been terminated and not permanently
+reinstated, you do not qualify to receive new licenses for the same
+material under section 10.
+
+ 9. Acceptance Not Required for Having Copies.
+
+ You are not required to accept this License in order to receive or
+run a copy of the Program. Ancillary propagation of a covered work
+occurring solely as a consequence of using peer-to-peer transmission
+to receive a copy likewise does not require acceptance. However,
+nothing other than this License grants you permission to propagate or
+modify any covered work. These actions infringe copyright if you do
+not accept this License. Therefore, by modifying or propagating a
+covered work, you indicate your acceptance of this License to do so.
+
+ 10. Automatic Licensing of Downstream Recipients.
+
+ Each time you convey a covered work, the recipient automatically
+receives a license from the original licensors, to run, modify and
+propagate that work, subject to this License. You are not responsible
+for enforcing compliance by third parties with this License.
+
+ An "entity transaction" is a transaction transferring control of an
+organization, or substantially all assets of one, or subdividing an
+organization, or merging organizations. If propagation of a covered
+work results from an entity transaction, each party to that
+transaction who receives a copy of the work also receives whatever
+licenses to the work the party's predecessor in interest had or could
+give under the previous paragraph, plus a right to possession of the
+Corresponding Source of the work from the predecessor in interest, if
+the predecessor has it or can get it with reasonable efforts.
+
+ You may not impose any further restrictions on the exercise of the
+rights granted or affirmed under this License. For example, you may
+not impose a license fee, royalty, or other charge for exercise of
+rights granted under this License, and you may not initiate litigation
+(including a cross-claim or counterclaim in a lawsuit) alleging that
+any patent claim is infringed by making, using, selling, offering for
+sale, or importing the Program or any portion of it.
+
+ 11. Patents.
+
+ A "contributor" is a copyright holder who authorizes use under this
+License of the Program or a work on which the Program is based. The
+work thus licensed is called the contributor's "contributor version".
+
+ A contributor's "essential patent claims" are all patent claims
+owned or controlled by the contributor, whether already acquired or
+hereafter acquired, that would be infringed by some manner, permitted
+by this License, of making, using, or selling its contributor version,
+but do not include claims that would be infringed only as a
+consequence of further modification of the contributor version. For
+purposes of this definition, "control" includes the right to grant
+patent sublicenses in a manner consistent with the requirements of
+this License.
+
+ Each contributor grants you a non-exclusive, worldwide, royalty-free
+patent license under the contributor's essential patent claims, to
+make, use, sell, offer for sale, import and otherwise run, modify and
+propagate the contents of its contributor version.
+
+ In the following three paragraphs, a "patent license" is any express
+agreement or commitment, however denominated, not to enforce a patent
+(such as an express permission to practice a patent or covenant not to
+sue for patent infringement). To "grant" such a patent license to a
+party means to make such an agreement or commitment not to enforce a
+patent against the party.
+
+ If you convey a covered work, knowingly relying on a patent license,
+and the Corresponding Source of the work is not available for anyone
+to copy, free of charge and under the terms of this License, through a
+publicly available network server or other readily accessible means,
+then you must either (1) cause the Corresponding Source to be so
+available, or (2) arrange to deprive yourself of the benefit of the
+patent license for this particular work, or (3) arrange, in a manner
+consistent with the requirements of this License, to extend the patent
+license to downstream recipients. "Knowingly relying" means you have
+actual knowledge that, but for the patent license, your conveying the
+covered work in a country, or your recipient's use of the covered work
+in a country, would infringe one or more identifiable patents in that
+country that you have reason to believe are valid.
+
+ If, pursuant to or in connection with a single transaction or
+arrangement, you convey, or propagate by procuring conveyance of, a
+covered work, and grant a patent license to some of the parties
+receiving the covered work authorizing them to use, propagate, modify
+or convey a specific copy of the covered work, then the patent license
+you grant is automatically extended to all recipients of the covered
+work and works based on it.
+
+ A patent license is "discriminatory" if it does not include within
+the scope of its coverage, prohibits the exercise of, or is
+conditioned on the non-exercise of one or more of the rights that are
+specifically granted under this License. You may not convey a covered
+work if you are a party to an arrangement with a third party that is
+in the business of distributing software, under which you make payment
+to the third party based on the extent of your activity of conveying
+the work, and under which the third party grants, to any of the
+parties who would receive the covered work from you, a discriminatory
+patent license (a) in connection with copies of the covered work
+conveyed by you (or copies made from those copies), or (b) primarily
+for and in connection with specific products or compilations that
+contain the covered work, unless you entered into that arrangement,
+or that patent license was granted, prior to 28 March 2007.
+
+ Nothing in this License shall be construed as excluding or limiting
+any implied license or other defenses to infringement that may
+otherwise be available to you under applicable patent law.
+
+ 12. No Surrender of Others' Freedom.
+
+ If conditions are imposed on you (whether by court order, agreement or
+otherwise) that contradict the conditions of this License, they do not
+excuse you from the conditions of this License. If you cannot convey a
+covered work so as to satisfy simultaneously your obligations under this
+License and any other pertinent obligations, then as a consequence you may
+not convey it at all. For example, if you agree to terms that obligate you
+to collect a royalty for further conveying from those to whom you convey
+the Program, the only way you could satisfy both those terms and this
+License would be to refrain entirely from conveying the Program.
+
+ 13. Use with the GNU Affero General Public License.
+
+ Notwithstanding any other provision of this License, you have
+permission to link or combine any covered work with a work licensed
+under version 3 of the GNU Affero General Public License into a single
+combined work, and to convey the resulting work. The terms of this
+License will continue to apply to the part which is the covered work,
+but the special requirements of the GNU Affero General Public License,
+section 13, concerning interaction through a network will apply to the
+combination as such.
+
+ 14. Revised Versions of this License.
+
+ The Free Software Foundation may publish revised and/or new versions of
+the GNU General Public License from time to time. Such new versions will
+be similar in spirit to the present version, but may differ in detail to
+address new problems or concerns.
+
+ Each version is given a distinguishing version number. If the
+Program specifies that a certain numbered version of the GNU General
+Public License "or any later version" applies to it, you have the
+option of following the terms and conditions either of that numbered
+version or of any later version published by the Free Software
+Foundation. If the Program does not specify a version number of the
+GNU General Public License, you may choose any version ever published
+by the Free Software Foundation.
+
+ If the Program specifies that a proxy can decide which future
+versions of the GNU General Public License can be used, that proxy's
+public statement of acceptance of a version permanently authorizes you
+to choose that version for the Program.
+
+ Later license versions may give you additional or different
+permissions. However, no additional obligations are imposed on any
+author or copyright holder as a result of your choosing to follow a
+later version.
+
+ 15. Disclaimer of Warranty.
+
+ THERE IS NO WARRANTY FOR THE PROGRAM, TO THE EXTENT PERMITTED BY
+APPLICABLE LAW. EXCEPT WHEN OTHERWISE STATED IN WRITING THE COPYRIGHT
+HOLDERS AND/OR OTHER PARTIES PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY
+OF ANY KIND, EITHER EXPRESSED OR IMPLIED, INCLUDING, BUT NOT LIMITED TO,
+THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+PURPOSE. THE ENTIRE RISK AS TO THE QUALITY AND PERFORMANCE OF THE PROGRAM
+IS WITH YOU. SHOULD THE PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF
+ALL NECESSARY SERVICING, REPAIR OR CORRECTION.
+
+ 16. Limitation of Liability.
+
+ IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING
+WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MODIFIES AND/OR CONVEYS
+THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES, INCLUDING ANY
+GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING OUT OF THE
+USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED TO LOSS OF
+DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY YOU OR THIRD
+PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER PROGRAMS),
+EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF
+SUCH DAMAGES.
+
+ 17. Interpretation of Sections 15 and 16.
+
+ If the disclaimer of warranty and limitation of liability provided
+above cannot be given local legal effect according to their terms,
+reviewing courts shall apply local law that most closely approximates
+an absolute waiver of all civil liability in connection with the
+Program, unless a warranty or assumption of liability accompanies a
+copy of the Program in return for a fee.
+
+ END OF TERMS AND CONDITIONS
+
+ How to Apply These Terms to Your New Programs
+
+ If you develop a new program, and you want it to be of the greatest
+possible use to the public, the best way to achieve this is to make it
+free software which everyone can redistribute and change under these terms.
+
+ To do so, attach the following notices to the program. It is safest
+to attach them to the start of each source file to most effectively
+state the exclusion of warranty; and each file should have at least
+the "copyright" line and a pointer to where the full notice is found.
+
+
+ Copyright (C)
+
+ This program is free software: you can redistribute it and/or modify
+ it under the terms of the GNU General Public License as published by
+ the Free Software Foundation, either version 3 of the License, or
+ (at your option) any later version.
+
+ This program 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. See the
+ GNU General Public License for more details.
+
+ You should have received a copy of the GNU General Public License
+ along with this program. If not, see .
+
+Also add information on how to contact you by electronic and paper mail.
+
+ If the program does terminal interaction, make it output a short
+notice like this when it starts in an interactive mode:
+
+ Copyright (C)
+ This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
+ This is free software, and you are welcome to redistribute it
+ under certain conditions; type `show c' for details.
+
+The hypothetical commands `show w' and `show c' should show the appropriate
+parts of the General Public License. Of course, your program's commands
+might be different; for a GUI interface, you would use an "about box".
+
+ You should also get your employer (if you work as a programmer) or school,
+if any, to sign a "copyright disclaimer" for the program, if necessary.
+For more information on this, and how to apply and follow the GNU GPL, see
+.
+
+ The GNU General Public License does not permit incorporating your program
+into proprietary programs. If your program is a subroutine library, you
+may consider it more useful to permit linking proprietary applications with
+the library. If this is what you want to do, use the GNU Lesser General
+Public License instead of this License. But first, please read
+.
diff --git a/README.md b/README.md
new file mode 100644
index 0000000..94eff44
--- /dev/null
+++ b/README.md
@@ -0,0 +1,57 @@
+
+
+[](https://www.gnu.org/licenses/gpl-3.0)
+[](https://www.codefactor.io/repository/github/spbu-coding-2023/trees-8)
+[](https://github.com/spbu-coding-2023/trees-8/actions/workflows/coverage.yml)
+
+# Binary Trees Project
+
+Team #8's project on binary trees.
+
+## About
+
+Three trees are implemented in this library: [Red-Black](https://en.wikipedia.org/wiki/Red–black_tree), [AVL](https://en.wikipedia.org/wiki/AVL_tree) and [Binary Search Tree](https://en.wikipedia.org/wiki/Binary_search_tree).
+
+## Authors
+
+- [Aleksey Dmitrievtsev](https://github.com/admitrievtsev) - Red-Black Tree
+- [Gleb Nasretdinov](https://github.com/Ycyken) - AVL Tree
+- [Azamat Ishbaev](https://github.com/odiumuniverse) - Binary Search Tree
+
+## Technologies
+
+- Kotlin 1.9.22
+- JDK 17
+- [Gradle 8.6](https://gradle.org)
+
+## Library information
+
+Three trees are implemented, choose which one you want.
+Standard methods are implemented in each tree:
+
++ `set(key,value)` - Associates the specified value with the specified key in the tree.
++ `remove(key)` - Removes the specified key and its corresponding value from the tree.
++ `get(key)` - Returns the value corresponding to the given key
++ `iterator()` - Iteration by key-value pairs in order of keys
+
+There are also many others methods:
+
++ `setIfAbsent(key,value)`
++ `getOrDefault(key, defaultValue)`
++ `getOrSet(key,defaultValue)`
++ `min()`
++ `max()`
++ `isEmpty()`
++ `isNotEmpty()`
++ `containsKey(key)`
++ `clear()`
+
+AVL and Red-Black trees are self-balancing
+
+### Suggestions and wishes
+
+Suggestions can be made in code review or [Issues](https://github.com/spbu-coding-2023/trees-8/issues) on GitHub
+
+### Licence
+
+The library is distributed under the [GNU GPLv3 licence](https://www.gnu.org/licenses/gpl-3.0.html)
diff --git a/gradle/libs.versions.toml b/gradle/libs.versions.toml
new file mode 100644
index 0000000..d4d7e1f
--- /dev/null
+++ b/gradle/libs.versions.toml
@@ -0,0 +1,15 @@
+# This file was generated by the Gradle 'init' task.
+# https://docs.gradle.org/current/userguide/platforms.html#sub::toml-dependencies-format
+
+[versions]
+commons-math3 = "3.6.1"
+guava = "32.1.3-jre"
+junit-jupiter-engine = "5.10.0"
+
+[libraries]
+commons-math3 = { module = "org.apache.commons:commons-math3", version.ref = "commons-math3" }
+guava = { module = "com.google.guava:guava", version.ref = "guava" }
+junit-jupiter-engine = { module = "org.junit.jupiter:junit-jupiter-engine", version.ref = "junit-jupiter-engine" }
+
+[plugins]
+jvm = { id = "org.jetbrains.kotlin.jvm", version = "1.9.20" }
diff --git a/gradle/wrapper/gradle-wrapper.jar b/gradle/wrapper/gradle-wrapper.jar
new file mode 100644
index 0000000..d64cd49
Binary files /dev/null and b/gradle/wrapper/gradle-wrapper.jar differ
diff --git a/gradle/wrapper/gradle-wrapper.properties b/gradle/wrapper/gradle-wrapper.properties
new file mode 100644
index 0000000..a80b22c
--- /dev/null
+++ b/gradle/wrapper/gradle-wrapper.properties
@@ -0,0 +1,7 @@
+distributionBase=GRADLE_USER_HOME
+distributionPath=wrapper/dists
+distributionUrl=https\://services.gradle.org/distributions/gradle-8.6-bin.zip
+networkTimeout=10000
+validateDistributionUrl=true
+zipStoreBase=GRADLE_USER_HOME
+zipStorePath=wrapper/dists
diff --git a/gradlew b/gradlew
new file mode 100755
index 0000000..1aa94a4
--- /dev/null
+++ b/gradlew
@@ -0,0 +1,249 @@
+#!/bin/sh
+
+#
+# Copyright © 2015-2021 the original authors.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# https://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+#
+
+##############################################################################
+#
+# Gradle start up script for POSIX generated by Gradle.
+#
+# Important for running:
+#
+# (1) You need a POSIX-compliant shell to run this script. If your /bin/sh is
+# noncompliant, but you have some other compliant shell such as ksh or
+# bash, then to run this script, type that shell name before the whole
+# command line, like:
+#
+# ksh Gradle
+#
+# Busybox and similar reduced shells will NOT work, because this script
+# requires all of these POSIX shell features:
+# * functions;
+# * expansions «$var», «${var}», «${var:-default}», «${var+SET}»,
+# «${var#prefix}», «${var%suffix}», and «$( cmd )»;
+# * compound commands having a testable exit status, especially «case»;
+# * various built-in commands including «command», «set», and «ulimit».
+#
+# Important for patching:
+#
+# (2) This script targets any POSIX shell, so it avoids extensions provided
+# by Bash, Ksh, etc; in particular arrays are avoided.
+#
+# The "traditional" practice of packing multiple parameters into a
+# space-separated string is a well documented source of bugs and security
+# problems, so this is (mostly) avoided, by progressively accumulating
+# options in "$@", and eventually passing that to Java.
+#
+# Where the inherited environment variables (DEFAULT_JVM_OPTS, JAVA_OPTS,
+# and GRADLE_OPTS) rely on word-splitting, this is performed explicitly;
+# see the in-line comments for details.
+#
+# There are tweaks for specific operating systems such as AIX, CygWin,
+# Darwin, MinGW, and NonStop.
+#
+# (3) This script is generated from the Groovy template
+# https://github.com/gradle/gradle/blob/HEAD/subprojects/plugins/src/main/resources/org/gradle/api/internal/plugins/unixStartScript.txt
+# within the Gradle project.
+#
+# You can find Gradle at https://github.com/gradle/gradle/.
+#
+##############################################################################
+
+# Attempt to set APP_HOME
+
+# Resolve links: $0 may be a link
+app_path=$0
+
+# Need this for daisy-chained symlinks.
+while
+ APP_HOME=${app_path%"${app_path##*/}"} # leaves a trailing /; empty if no leading path
+ [ -h "$app_path" ]
+do
+ ls=$( ls -ld "$app_path" )
+ link=${ls#*' -> '}
+ case $link in #(
+ /*) app_path=$link ;; #(
+ *) app_path=$APP_HOME$link ;;
+ esac
+done
+
+# This is normally unused
+# shellcheck disable=SC2034
+APP_BASE_NAME=${0##*/}
+# Discard cd standard output in case $CDPATH is set (https://github.com/gradle/gradle/issues/25036)
+APP_HOME=$( cd "${APP_HOME:-./}" > /dev/null && pwd -P ) || exit
+
+# Use the maximum available, or set MAX_FD != -1 to use that value.
+MAX_FD=maximum
+
+warn () {
+ echo "$*"
+} >&2
+
+die () {
+ echo
+ echo "$*"
+ echo
+ exit 1
+} >&2
+
+# OS specific support (must be 'true' or 'false').
+cygwin=false
+msys=false
+darwin=false
+nonstop=false
+case "$( uname )" in #(
+ CYGWIN* ) cygwin=true ;; #(
+ Darwin* ) darwin=true ;; #(
+ MSYS* | MINGW* ) msys=true ;; #(
+ NONSTOP* ) nonstop=true ;;
+esac
+
+CLASSPATH=$APP_HOME/gradle/wrapper/gradle-wrapper.jar
+
+
+# Determine the Java command to use to start the JVM.
+if [ -n "$JAVA_HOME" ] ; then
+ if [ -x "$JAVA_HOME/jre/sh/java" ] ; then
+ # IBM's JDK on AIX uses strange locations for the executables
+ JAVACMD=$JAVA_HOME/jre/sh/java
+ else
+ JAVACMD=$JAVA_HOME/bin/java
+ fi
+ if [ ! -x "$JAVACMD" ] ; then
+ die "ERROR: JAVA_HOME is set to an invalid directory: $JAVA_HOME
+
+Please set the JAVA_HOME variable in your environment to match the
+location of your Java installation."
+ fi
+else
+ JAVACMD=java
+ if ! command -v java >/dev/null 2>&1
+ then
+ die "ERROR: JAVA_HOME is not set and no 'java' command could be found in your PATH.
+
+Please set the JAVA_HOME variable in your environment to match the
+location of your Java installation."
+ fi
+fi
+
+# Increase the maximum file descriptors if we can.
+if ! "$cygwin" && ! "$darwin" && ! "$nonstop" ; then
+ case $MAX_FD in #(
+ max*)
+ # In POSIX sh, ulimit -H is undefined. That's why the result is checked to see if it worked.
+ # shellcheck disable=SC2039,SC3045
+ MAX_FD=$( ulimit -H -n ) ||
+ warn "Could not query maximum file descriptor limit"
+ esac
+ case $MAX_FD in #(
+ '' | soft) :;; #(
+ *)
+ # In POSIX sh, ulimit -n is undefined. That's why the result is checked to see if it worked.
+ # shellcheck disable=SC2039,SC3045
+ ulimit -n "$MAX_FD" ||
+ warn "Could not set maximum file descriptor limit to $MAX_FD"
+ esac
+fi
+
+# Collect all arguments for the java command, stacking in reverse order:
+# * args from the command line
+# * the main class name
+# * -classpath
+# * -D...appname settings
+# * --module-path (only if needed)
+# * DEFAULT_JVM_OPTS, JAVA_OPTS, and GRADLE_OPTS environment variables.
+
+# For Cygwin or MSYS, switch paths to Windows format before running java
+if "$cygwin" || "$msys" ; then
+ APP_HOME=$( cygpath --path --mixed "$APP_HOME" )
+ CLASSPATH=$( cygpath --path --mixed "$CLASSPATH" )
+
+ JAVACMD=$( cygpath --unix "$JAVACMD" )
+
+ # Now convert the arguments - kludge to limit ourselves to /bin/sh
+ for arg do
+ if
+ case $arg in #(
+ -*) false ;; # don't mess with options #(
+ /?*) t=${arg#/} t=/${t%%/*} # looks like a POSIX filepath
+ [ -e "$t" ] ;; #(
+ *) false ;;
+ esac
+ then
+ arg=$( cygpath --path --ignore --mixed "$arg" )
+ fi
+ # Roll the args list around exactly as many times as the number of
+ # args, so each arg winds up back in the position where it started, but
+ # possibly modified.
+ #
+ # NB: a `for` loop captures its iteration list before it begins, so
+ # changing the positional parameters here affects neither the number of
+ # iterations, nor the values presented in `arg`.
+ shift # remove old arg
+ set -- "$@" "$arg" # push replacement arg
+ done
+fi
+
+
+# Add default JVM options here. You can also use JAVA_OPTS and GRADLE_OPTS to pass JVM options to this script.
+DEFAULT_JVM_OPTS='"-Xmx64m" "-Xms64m"'
+
+# Collect all arguments for the java command:
+# * DEFAULT_JVM_OPTS, JAVA_OPTS, JAVA_OPTS, and optsEnvironmentVar are not allowed to contain shell fragments,
+# and any embedded shellness will be escaped.
+# * For example: A user cannot expect ${Hostname} to be expanded, as it is an environment variable and will be
+# treated as '${Hostname}' itself on the command line.
+
+set -- \
+ "-Dorg.gradle.appname=$APP_BASE_NAME" \
+ -classpath "$CLASSPATH" \
+ org.gradle.wrapper.GradleWrapperMain \
+ "$@"
+
+# Stop when "xargs" is not available.
+if ! command -v xargs >/dev/null 2>&1
+then
+ die "xargs is not available"
+fi
+
+# Use "xargs" to parse quoted args.
+#
+# With -n1 it outputs one arg per line, with the quotes and backslashes removed.
+#
+# In Bash we could simply go:
+#
+# readarray ARGS < <( xargs -n1 <<<"$var" ) &&
+# set -- "${ARGS[@]}" "$@"
+#
+# but POSIX shell has neither arrays nor command substitution, so instead we
+# post-process each arg (as a line of input to sed) to backslash-escape any
+# character that might be a shell metacharacter, then use eval to reverse
+# that process (while maintaining the separation between arguments), and wrap
+# the whole thing up as a single "set" statement.
+#
+# This will of course break if any of these variables contains a newline or
+# an unmatched quote.
+#
+
+eval "set -- $(
+ printf '%s\n' "$DEFAULT_JVM_OPTS $JAVA_OPTS $GRADLE_OPTS" |
+ xargs -n1 |
+ sed ' s~[^-[:alnum:]+,./:=@_]~\\&~g; ' |
+ tr '\n' ' '
+ )" '"$@"'
+
+exec "$JAVACMD" "$@"
diff --git a/gradlew.bat b/gradlew.bat
new file mode 100644
index 0000000..25da30d
--- /dev/null
+++ b/gradlew.bat
@@ -0,0 +1,92 @@
+@rem
+@rem Copyright 2015 the original author or authors.
+@rem
+@rem Licensed under the Apache License, Version 2.0 (the "License");
+@rem you may not use this file except in compliance with the License.
+@rem You may obtain a copy of the License at
+@rem
+@rem https://www.apache.org/licenses/LICENSE-2.0
+@rem
+@rem Unless required by applicable law or agreed to in writing, software
+@rem distributed under the License is distributed on an "AS IS" BASIS,
+@rem WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+@rem See the License for the specific language governing permissions and
+@rem limitations under the License.
+@rem
+
+@if "%DEBUG%"=="" @echo off
+@rem ##########################################################################
+@rem
+@rem Gradle startup script for Windows
+@rem
+@rem ##########################################################################
+
+@rem Set local scope for the variables with windows NT shell
+if "%OS%"=="Windows_NT" setlocal
+
+set DIRNAME=%~dp0
+if "%DIRNAME%"=="" set DIRNAME=.
+@rem This is normally unused
+set APP_BASE_NAME=%~n0
+set APP_HOME=%DIRNAME%
+
+@rem Resolve any "." and ".." in APP_HOME to make it shorter.
+for %%i in ("%APP_HOME%") do set APP_HOME=%%~fi
+
+@rem Add default JVM options here. You can also use JAVA_OPTS and GRADLE_OPTS to pass JVM options to this script.
+set DEFAULT_JVM_OPTS="-Xmx64m" "-Xms64m"
+
+@rem Find java.exe
+if defined JAVA_HOME goto findJavaFromJavaHome
+
+set JAVA_EXE=java.exe
+%JAVA_EXE% -version >NUL 2>&1
+if %ERRORLEVEL% equ 0 goto execute
+
+echo. 1>&2
+echo ERROR: JAVA_HOME is not set and no 'java' command could be found in your PATH. 1>&2
+echo. 1>&2
+echo Please set the JAVA_HOME variable in your environment to match the 1>&2
+echo location of your Java installation. 1>&2
+
+goto fail
+
+:findJavaFromJavaHome
+set JAVA_HOME=%JAVA_HOME:"=%
+set JAVA_EXE=%JAVA_HOME%/bin/java.exe
+
+if exist "%JAVA_EXE%" goto execute
+
+echo. 1>&2
+echo ERROR: JAVA_HOME is set to an invalid directory: %JAVA_HOME% 1>&2
+echo. 1>&2
+echo Please set the JAVA_HOME variable in your environment to match the 1>&2
+echo location of your Java installation. 1>&2
+
+goto fail
+
+:execute
+@rem Setup the command line
+
+set CLASSPATH=%APP_HOME%\gradle\wrapper\gradle-wrapper.jar
+
+
+@rem Execute Gradle
+"%JAVA_EXE%" %DEFAULT_JVM_OPTS% %JAVA_OPTS% %GRADLE_OPTS% "-Dorg.gradle.appname=%APP_BASE_NAME%" -classpath "%CLASSPATH%" org.gradle.wrapper.GradleWrapperMain %*
+
+:end
+@rem End local scope for the variables with windows NT shell
+if %ERRORLEVEL% equ 0 goto mainEnd
+
+:fail
+rem Set variable GRADLE_EXIT_CONSOLE if you need the _script_ return code instead of
+rem the _cmd.exe /c_ return code!
+set EXIT_CODE=%ERRORLEVEL%
+if %EXIT_CODE% equ 0 set EXIT_CODE=1
+if not ""=="%GRADLE_EXIT_CONSOLE%" exit %EXIT_CODE%
+exit /b %EXIT_CODE%
+
+:mainEnd
+if "%OS%"=="Windows_NT" endlocal
+
+:omega
diff --git a/lib/build.gradle.kts b/lib/build.gradle.kts
new file mode 100644
index 0000000..8b95e8b
--- /dev/null
+++ b/lib/build.gradle.kts
@@ -0,0 +1,70 @@
+/*
+ * This file was generated by the Gradle 'init' task.
+ *
+ * This generated file contains a sample Kotlin library project to get you started.
+ * For more details on building Java & JVM projects, please refer to https://docs.gradle.org/8.6/userguide/building_java_projects.html in the Gradle documentation.
+ */
+
+plugins {
+ // Apply the org.jetbrains.kotlin.jvm Plugin to add support for Kotlin.
+ alias(libs.plugins.jvm)
+
+ // Apply the java-library plugin for API and implementation separation.
+ `java-library`
+ jacoco
+ `jacoco-report-aggregation`
+}
+
+repositories {
+ // Use Maven Central for resolving dependencies.
+ mavenCentral()
+}
+
+dependencies {
+ // Use the Kotlin JUnit 5 integration.
+ testImplementation("org.jetbrains.kotlin:kotlin-test-junit5")
+
+ // Use the JUnit 5 integration.
+ testImplementation(libs.junit.jupiter.engine)
+
+ testRuntimeOnly("org.junit.platform:junit-platform-launcher")
+
+ // This dependency is exported to consumers, that is to say found on their compile classpath.
+ api(libs.commons.math3)
+
+ // This dependency is used internally, and not exposed to consumers on their own compile classpath.
+ implementation(libs.guava)
+}
+
+// Apply a specific Java toolchain to ease working on different environments.
+java {
+ toolchain {
+ languageVersion = JavaLanguageVersion.of(17)
+ }
+}
+
+tasks.named("test") {
+ // Use JUnit Platform for unit tests.
+ useJUnitPlatform()
+}
+
+tasks.test {
+ finalizedBy(tasks.jacocoTestReport)
+}
+tasks.jacocoTestReport {
+ dependsOn(tasks.test)
+}
+
+jacoco {
+ toolVersion = "0.8.11"
+ reportsDirectory = layout.buildDirectory.dir("lib/build/jacoco").get().asFile
+}
+
+tasks.jacocoTestReport {
+ reports {
+ xml.required = true
+ csv.required = true
+ html.outputLocation = layout.buildDirectory.dir("jacocoHtml").get().asFile
+ csv.outputLocation = layout.buildDirectory.file("jacoco/report.csv")
+ }
+}
diff --git a/lib/src/main/kotlin/trees/abstracts/BSTree.kt b/lib/src/main/kotlin/trees/abstracts/BSTree.kt
new file mode 100644
index 0000000..23f384f
--- /dev/null
+++ b/lib/src/main/kotlin/trees/abstracts/BSTree.kt
@@ -0,0 +1,196 @@
+package trees.abstracts
+
+import java.util.Stack
+
+abstract class BSTree, V, Vertex_t : Vertex> {
+ internal var root: Vertex_t? = null
+ var size: Int = 0
+ protected set(value) {
+ if (value >= 0) {
+ field = value
+ } else {
+ throw IllegalArgumentException("Tree size cannot be a negative number")
+ }
+ }
+
+ /**
+ * Associates the specified [value] with the specified [key] in the tree.
+ *
+ * @return the previous value associated with the key, or `null` if the key was not present in the tree.
+ */
+ abstract operator fun set(key: K, value: V): V?
+
+ protected abstract fun createVertex(key: K, value: V): Vertex_t
+
+ /**
+ * Set specified value by specified key
+ *
+ * Returns: a pair of set vertex and old value.
+ * If key didn't exist, the returned value is null.
+ */
+ protected fun setWithoutBalance(key: K, value: V): Pair {
+ if (root == null) {
+ val newVertex = createVertex(key, value)
+ root = newVertex
+ return Pair(newVertex, null)
+ }
+
+ var cur = root ?: throw IllegalStateException("Case when root is null is processed above")
+ while (true) {
+ val result = key.compareTo(cur.key)
+ if (result < 0) {
+ if (cur.left == null) {
+ val newVertex = createVertex(key, value)
+ cur.left = newVertex
+ newVertex.parent = cur
+ return Pair(newVertex, null)
+ }
+ cur = cur.left ?: throw IllegalStateException("Case when cur.left is null is processed above")
+ } else if (result > 0) {
+ if (cur.right == null) {
+ val newVertex = createVertex(key, value)
+ cur.right = newVertex
+ newVertex.parent = cur
+ return Pair(newVertex, null)
+ }
+ cur = cur.right ?: throw IllegalStateException("Case when cur.right is null is processed above")
+ } else {
+ val oldValue = cur.value
+ cur.value = value
+ return Pair(cur, oldValue)
+ }
+ }
+ }
+
+ /**
+ * Associates the specified value with the specified key if this key is not in the tree.
+ * @return true if this key is not in the tree, otherwise false
+ */
+ fun setIfAbsent(key: K, value: V): Boolean {
+ if (get(key) == null) {
+ set(key, value)
+ return true
+ }
+ return false
+ }
+
+ /**
+ * Returns the value corresponding to the given [key], or `null` if such a key is not present in the tree.
+ */
+ operator fun get(key: K): V? {
+ return vertByKey(key)?.value
+ }
+
+ /**
+ * Returns the value corresponding to the given [key], or [defaultValue] if such a key is not present in the map.
+ */
+ fun getOrDefault(key: K, defaultValue: Any): Any {
+ return get(key) ?: defaultValue
+ }
+
+ /**
+ * Returns the value for the given [key] if the value is present and not `null`.
+ * Otherwise, calls the [set] function,
+ * set [defaultValue] into the tree under the given key and returns null.
+ */
+ fun getOrSet(key: K, defaultValue: V): V? {
+ return get(key) ?: set(key, defaultValue)
+ }
+
+ /**
+ * Removes the specified key and its corresponding value from the tree.
+ *
+ * @return the previous value associated with the key, or `null` if the key was not present in the map.
+ */
+ abstract fun remove(key: K): V?
+
+ operator fun iterator(): TreeIterator {
+ return TreeIterator()
+ }
+
+ inner class TreeIterator : Iterator> {
+ private var cur = root
+ private val stack = Stack()
+
+ override fun next(): Pair {
+ while (hasNext()) {
+ if (cur != null) {
+ cur?.let {
+ stack.push(it)
+ cur = it.left
+ }
+ } else {
+ val returnVert = stack.pop()
+ cur = returnVert.right
+ return returnVert.toPair()
+ }
+ }
+ throw IndexOutOfBoundsException()
+ }
+
+ override fun hasNext(): Boolean {
+ return stack.isNotEmpty() or (cur != null)
+ }
+ }
+
+ /**
+ * Returns Pair by minimum key in the tree. If tree is empty then returns null
+ */
+ fun min(): Pair? {
+ return minVertex(root)?.toPair()
+ }
+
+ protected fun minVertex(vertex: Vertex_t?): Vertex_t? {
+ var cur = vertex
+ while (cur?.left != null) {
+ cur = cur.left
+ }
+ return cur
+ }
+
+ protected fun maxVertex(vertex: Vertex_t?): Vertex_t? {
+ var cur = vertex
+ while (cur?.right != null) {
+ cur = cur.right
+ }
+ return cur
+ }
+
+ /**
+ * Returns Pair by maximum key in the tree. If tree is empty then returns null
+ */
+ fun max(): Pair? {
+ return maxVertex(root)?.toPair()
+ }
+
+ protected fun vertByKey(key: K): Vertex_t? {
+ var cur = root
+ while (cur != null) {
+ if (key < cur.key) {
+ cur = cur.left
+ } else if (key > cur.key) {
+ cur = cur.right
+ } else if (key == cur.key) {
+ break
+ }
+ }
+ return cur
+ }
+
+ fun isEmpty(): Boolean {
+ return size == 0
+ }
+
+ fun isNotEmpty(): Boolean {
+ return size != 0
+ }
+
+ fun containsKey(key: K): Boolean {
+ return get(key) != null
+ }
+
+ fun clear() {
+ size = 0
+ root = null
+ }
+}
diff --git a/lib/src/main/kotlin/trees/abstracts/BalanceBSTree.kt b/lib/src/main/kotlin/trees/abstracts/BalanceBSTree.kt
new file mode 100644
index 0000000..fcb7404
--- /dev/null
+++ b/lib/src/main/kotlin/trees/abstracts/BalanceBSTree.kt
@@ -0,0 +1,4 @@
+package trees.abstracts
+
+abstract class BalanceBSTree, V, Vertex_t : Vertex> :
+ BSTree()
diff --git a/lib/src/main/kotlin/trees/abstracts/Vertex.kt b/lib/src/main/kotlin/trees/abstracts/Vertex.kt
new file mode 100644
index 0000000..0417f41
--- /dev/null
+++ b/lib/src/main/kotlin/trees/abstracts/Vertex.kt
@@ -0,0 +1,22 @@
+package trees.abstracts
+
+abstract class Vertex, V, Vertex_t : Vertex>(key: K, value: V) {
+ var key = key
+ internal set
+ var value = value
+ internal set
+ var parent: Vertex_t? = null
+ internal set
+ var left: Vertex_t? = null
+ internal set
+ var right: Vertex_t? = null
+ internal set
+
+ operator fun compareTo(other: Vertex): Int {
+ return key.compareTo(other.key)
+ }
+
+ fun toPair(): Pair {
+ return Pair(key, value)
+ }
+}
diff --git a/lib/src/main/kotlin/trees/implementations/AvlTree.kt b/lib/src/main/kotlin/trees/implementations/AvlTree.kt
new file mode 100644
index 0000000..d8c1b97
--- /dev/null
+++ b/lib/src/main/kotlin/trees/implementations/AvlTree.kt
@@ -0,0 +1,264 @@
+package trees.implementations
+
+import trees.abstracts.BalanceBSTree
+
+class AvlTree, V> : BalanceBSTree>() {
+ override operator fun set(key: K, value: V): V? {
+ val (currentVert, oldValue) = setWithoutBalance(key, value)
+ if (oldValue == null) {
+ size += 1
+ balanceAfterSet(currentVert)
+ }
+ return oldValue
+ }
+
+ override fun createVertex(key: K, value: V): AVLVertex {
+ return AVLVertex(key, value)
+ }
+
+ /**
+ * Climbing up the tree, updates diffHeights of vertices after set and calls
+ * [balanceOnce] if vertex became unbalanced
+ */
+ private fun balanceAfterSet(vertex: AVLVertex) {
+ var cur = vertex
+ while (cur.parent != null) {
+ val prevKey = cur.key
+ cur = cur.parent ?: throw IllegalStateException("Parent can't be null due to while condition")
+ if (prevKey == cur.left?.key) {
+ cur.diffHeight += 1
+ } else if (prevKey == cur.right?.key) {
+ cur.diffHeight -= 1
+ }
+
+ cur = balanceOnce(cur)
+ if (cur.diffHeight == 0) break
+ }
+ }
+
+ override fun remove(key: K): V? {
+ val toRemove = vertByKey(key) ?: return null
+ val oldValue = toRemove.value
+ removeVert(toRemove)
+ size -= 1
+ return oldValue
+ }
+
+ /**
+ * Removes specified vertex and balances the tree
+ */
+ private fun removeVert(toRemove: AVLVertex) {
+ val parent = toRemove.parent
+ if (toRemove.left == null && toRemove.right == null) {
+ when {
+ parent == null -> root = null
+
+ parent.left == toRemove -> {
+ parent.left = null
+ parent.diffHeight -= 1
+ }
+
+ parent.right == toRemove -> {
+ parent.right = null
+ parent.diffHeight += 1
+ }
+ }
+ balanceAfterRemove(parent)
+ } else if (toRemove.right == null) {
+ toRemove.left?.let {
+ toRemove.key = it.key
+ toRemove.value = it.value
+ toRemove.left = null
+ toRemove.diffHeight = 0
+ }
+ balanceAfterRemove(parent)
+ when {
+ parent?.left == toRemove -> parent.diffHeight -= 1
+ parent?.right == toRemove -> parent.diffHeight += 1
+ }
+ } else {
+ val minRight =
+ minVertex(toRemove.right)
+ ?: throw IllegalStateException("min of subtree can't be null if it's contains at least one element")
+ toRemove.key = minRight.key
+ toRemove.value = minRight.value
+ removeVert(minRight)
+ }
+ }
+
+ /**
+ * Climbing up the tree, updates diffHeights of vertices after remove and calls
+ * [balanceOnce] if vertex became unbalanced
+ */
+ private fun balanceAfterRemove(vertex: AVLVertex?) {
+ var cur = vertex ?: return
+ while (cur.diffHeight != 1 && cur.diffHeight != -1) {
+ cur = balanceOnce(cur)
+ if (cur.diffHeight != 1 && cur.diffHeight != -1) {
+ when {
+ cur.parent?.left == cur -> cur.parent?.let { it.diffHeight -= 1 }
+ cur.parent?.right == cur -> cur.parent?.let { it.diffHeight += 1 }
+ }
+ }
+ cur = cur.parent ?: return
+ }
+ }
+
+ private fun getDiffHeight(vertex: AVLVertex?): Int {
+ return vertex?.diffHeight ?: 0
+ }
+
+ /**
+ * Balances subtree by specified root, updates diffHeights of vertices
+ * @return new root of subtree
+ */
+ private fun balanceOnce(_vertex: AVLVertex): AVLVertex {
+ var vertex = _vertex
+ if (vertex.diffHeight == 2) {
+ if (getDiffHeight(vertex.left) >= 0) {
+ vertex = rotateRight(vertex)
+ } else if (getDiffHeight(vertex.left) == -1) {
+ vertex.left?.let {
+ vertex.left = rotateLeft(it)
+ vertex = rotateRight(vertex)
+ }
+ }
+ } else if (vertex.diffHeight == -2) {
+ if (getDiffHeight(vertex.right) <= 0) {
+ vertex = rotateLeft(vertex)
+ } else if (getDiffHeight(vertex.right) == 1) {
+ vertex.right?.let {
+ rotateRight(it)
+ vertex = rotateLeft(vertex)
+ }
+ }
+ }
+ return vertex
+ }
+
+ private fun rotateRight(origin: AVLVertex): AVLVertex {
+ val left =
+ origin.left
+ ?: throw IllegalStateException("Height difference can't be 2 if left Vertex doesn't exist")
+
+ left.parent = origin.parent
+ if (origin.parent?.left == origin) {
+ origin.parent?.left = left
+ } else {
+ origin.parent?.right = left
+ }
+
+ origin.parent = left
+ origin.left = left.right
+ origin.left?.parent = origin
+ left.right = origin
+
+ when (origin.diffHeight) {
+ 2 -> {
+ when (left.diffHeight) {
+ 0 -> {
+ origin.diffHeight = 1
+ left.diffHeight = -1
+ }
+
+ 1 -> {
+ origin.diffHeight = 0
+ left.diffHeight = 0
+ }
+
+ 2 -> {
+ origin.diffHeight = -1
+ left.diffHeight = 0
+ }
+ }
+ }
+
+ 1 -> {
+ when (left.diffHeight) {
+ 0 -> {
+ origin.diffHeight = 0
+ left.diffHeight = -1
+ }
+
+ 1 -> {
+ origin.diffHeight = -1
+ left.diffHeight = -1
+ }
+
+ -1 -> {
+ origin.diffHeight = 0
+ left.diffHeight = -2
+ }
+ }
+ }
+ }
+
+ if (origin == root) {
+ root = left
+ }
+ return left
+ }
+
+ private fun rotateLeft(origin: AVLVertex): AVLVertex {
+ val right =
+ origin.right
+ ?: throw IllegalStateException("Height difference can't be 2 if left Vertex doesn't exist")
+
+ right.parent = origin.parent
+ if (origin.parent?.left == origin) {
+ origin.parent?.left = right
+ } else {
+ origin.parent?.right = right
+ }
+
+ origin.parent = right
+ origin.right = right.left
+ origin.right?.parent = origin
+ right.left = origin
+
+ when (origin.diffHeight) {
+ -2 -> {
+ when (right.diffHeight) {
+ 0 -> {
+ origin.diffHeight = -1
+ right.diffHeight = 1
+ }
+
+ -1 -> {
+ origin.diffHeight = 0
+ right.diffHeight = 0
+ }
+
+ -2 -> {
+ origin.diffHeight = 1
+ right.diffHeight = 0
+ }
+ }
+ }
+
+ -1 -> {
+ when (right.diffHeight) {
+ 0 -> {
+ origin.diffHeight = 0
+ right.diffHeight = 1
+ }
+
+ -1 -> {
+ origin.diffHeight = 1
+ right.diffHeight = 1
+ }
+
+ 1 -> {
+ origin.diffHeight = 0
+ right.diffHeight = 2
+ }
+ }
+ }
+ }
+
+ if (origin == root) {
+ root = right
+ }
+ return right
+ }
+}
diff --git a/lib/src/main/kotlin/trees/implementations/RBTree.kt b/lib/src/main/kotlin/trees/implementations/RBTree.kt
new file mode 100644
index 0000000..c99a739
--- /dev/null
+++ b/lib/src/main/kotlin/trees/implementations/RBTree.kt
@@ -0,0 +1,240 @@
+package trees.implementations
+
+import trees.abstracts.BalanceBSTree
+
+class RBTree, V> : BalanceBSTree>() {
+
+ override fun createVertex(key: K, value: V): RBVertex {
+ return RBVertex(key, value)
+ }
+
+ override fun set(key: K, value: V): V? {
+ val (currentVert, oldValue) = setWithoutBalance(key, value)
+ if (oldValue == null) {
+ size += 1
+ }
+ if (currentVert == root) {
+ currentVert.color = black
+ }
+ balanceTreeAfterInsert(currentVert)
+ return oldValue
+ }
+
+ private val red = RBVertex.Color.RED
+ private val black = RBVertex.Color.BLACK
+
+ private fun rotateRight(vertex: RBVertex?) {
+ val parent = vertex?.parent
+ val leftChild = vertex?.left
+ vertex?.left = leftChild?.right
+ if (leftChild?.right != null) {
+ leftChild.right?.parent = vertex
+ }
+ leftChild?.right = vertex
+ vertex?.parent = leftChild
+ if (parent == null) {
+ root = leftChild
+ } else if (parent.left == vertex) {
+ parent.left = leftChild
+ } else if (parent.right == vertex) {
+ parent.right = leftChild
+ }
+ if (leftChild != null) {
+ leftChild.parent = parent
+ }
+ }
+
+ private fun rotateLeft(vertex: RBVertex?) {
+ val parent = vertex?.parent
+ val rightChild = vertex?.right
+ vertex?.right = rightChild?.left
+ if (rightChild?.left != null) {
+ rightChild.left?.parent = vertex
+ }
+ rightChild?.left = vertex
+ vertex?.parent = rightChild
+ if (parent == null) {
+ root = rightChild
+ } else if (parent.left == vertex) {
+ parent.left = rightChild
+ } else if (parent.right == vertex) {
+ parent.right = rightChild
+ }
+ if (rightChild != null) {
+ rightChild.parent = parent
+ }
+ }
+
+ private fun balanceTreeAfterInsert(vertex: RBVertex) {
+ var parent = vertex.parent
+ if (parent == null) {
+ vertex.color = black
+ return
+ }
+ if (parent.color == black) {
+ return
+ }
+ val grandparent = parent.parent
+
+ if (grandparent == null) {
+ parent.color = black
+ return
+ }
+
+ val uncle = getVertexUncle(parent)
+ if (uncle != null && uncle.color == red) {
+ parent.color = black
+ grandparent.color = red
+ uncle.color = black
+ balanceTreeAfterInsert(grandparent)
+ } else if (parent == grandparent.left) {
+ if (vertex == parent.right) {
+ rotateLeft(parent)
+ parent = vertex
+ }
+ rotateRight(grandparent)
+ parent.color = black
+ grandparent.color = red
+ } else {
+ if (vertex == parent.left) {
+ rotateRight(parent)
+ parent = vertex
+ }
+ rotateLeft(grandparent)
+ parent.color = black
+ grandparent.color = red
+ }
+ }
+
+ override fun remove(key: K): V? {
+ val vertex = vertByKey(key) ?: return null
+
+ size -= 1
+ val replacedVertex: RBVertex?
+ val deletedVertexColor: RBVertex.Color
+ if (vertex.left == null || vertex.right == null) {
+ replacedVertex = deleteNullChild(vertex)
+ deletedVertexColor = vertex.color
+ } else {
+ val mVertex = minVertex(vertex.right!!)!!
+ vertex.value = mVertex.value
+ vertex.key = mVertex.key
+ replacedVertex = deleteNullChild(mVertex)
+ deletedVertexColor = mVertex.color
+ }
+
+ if (deletedVertexColor == black) {
+ balanceTreeAfterDelete(replacedVertex)
+ if (replacedVertex?.additionalType == true) {
+ replaceChild(replacedVertex.parent, replacedVertex, null)
+ }
+ }
+ return replacedVertex?.value
+ }
+
+ private fun balanceTreeAfterDelete(vertex: RBVertex?) {
+ if (vertex == root) {
+ vertex?.color = black
+ return
+ }
+ var brother = getBrother(vertex)
+ if (brother?.color == red) {
+ manageRedBrother(vertex, brother)
+ brother = getBrother(vertex)
+ }
+ if (brother?.left?.color == black && brother.right?.color == black) {
+ brother.color = red
+ if (vertex?.parent?.color == red) {
+ vertex.parent?.color = black
+ } else {
+ balanceTreeAfterDelete(vertex?.parent)
+ }
+ } else {
+ manageBlackRedOne(vertex, brother)
+ }
+ }
+
+ private fun getBrother(vertex: RBVertex?): RBVertex? {
+ val parent = vertex?.parent
+ return when (vertex) {
+ parent?.left -> parent?.right
+ parent?.right -> parent?.left
+ else -> throw IllegalStateException()
+ }
+ }
+
+ private fun manageBlackRedOne(vertex: RBVertex?, argBrother: RBVertex?) {
+ var brother = argBrother
+ val isParent = vertex == vertex?.parent?.left
+ if (isParent && brother?.right?.color == black) {
+ brother.left?.color = black
+ brother.color = red
+ rotateLeft(brother)
+ brother = vertex?.parent?.right
+ } else if (!isParent && brother?.left?.color == black) {
+ brother.right?.color = black
+ brother.color = red
+ rotateRight(brother)
+ brother = vertex?.parent?.left
+ }
+ brother?.color = vertex?.parent!!.color
+ vertex.parent?.color = black
+ }
+
+ private fun manageRedBrother(vertex: RBVertex?, brother: RBVertex) {
+ brother.color = black
+ vertex?.parent?.color = red
+ if (vertex === vertex?.parent?.left) {
+ rotateLeft(vertex?.parent)
+ } else {
+ rotateRight(vertex?.parent)
+ }
+ }
+
+ private fun replaceChild(parent: RBVertex?, oldChild: RBVertex, newChild: RBVertex?) {
+ if (parent == null) {
+ root = newChild
+ } else if (parent.left == oldChild) {
+ parent.left = newChild
+ } else if (parent.right == oldChild) {
+ parent.right = newChild
+ } else {
+ throw IllegalStateException()
+ }
+ if (newChild != null) {
+ newChild.parent = parent
+ }
+ }
+
+ private fun deleteNullChild(vertex: RBVertex): RBVertex? {
+ println(vertex.key)
+ if (vertex.left != null) {
+ replaceChild(vertex.parent, vertex, vertex.left)
+ return vertex.left
+ } else if (vertex.right != null) {
+ replaceChild(vertex.parent, vertex, vertex.right)
+ return vertex.right
+ } else {
+ var newChild: RBVertex? = RBVertex(vertex.key, vertex.value)
+ if (vertex.color == black) {
+ newChild?.additionalType = true
+ newChild?.color = black
+ } else {
+ newChild = null
+ }
+ replaceChild(vertex.parent, vertex, newChild)
+ return newChild
+ }
+ }
+
+ private fun getVertexUncle(parent: RBVertex): RBVertex? {
+ val grandparent = parent.parent
+ return if (grandparent?.left == parent) {
+ grandparent.right
+ } else if (grandparent?.right == parent) {
+ grandparent.left
+ } else {
+ throw IllegalStateException("Grandparent/Parent dependency mistake")
+ }
+ }
+}
diff --git a/lib/src/main/kotlin/trees/implementations/SimpleTree.kt b/lib/src/main/kotlin/trees/implementations/SimpleTree.kt
new file mode 100644
index 0000000..ea397fe
--- /dev/null
+++ b/lib/src/main/kotlin/trees/implementations/SimpleTree.kt
@@ -0,0 +1,48 @@
+package trees.implementations
+
+import trees.abstracts.BSTree
+
+class SimpleTree, V> : BSTree>() {
+
+ override fun createVertex(key: K, value: V): SimpleVertex {
+ return SimpleVertex(key, value)
+ }
+
+ override fun remove(key: K): V? {
+ val vertex = vertByKey(key) ?: return null
+ val parent = vertex.parent
+ val oldValue = vertex.value
+ if (vertex.left == null && vertex.right == null) {
+ when {
+ parent == null -> root = null
+ parent.left == vertex -> parent.left = null
+ else -> parent.right = null
+ }
+ } else {
+ val successor = if (vertex.right == null) {
+ maxVertex(vertex.left)
+ } else {
+ minVertex(vertex.right)
+ }
+ val successorParent = successor?.parent
+ successor?.let {
+ vertex.key = it.key
+ vertex.value = it.value
+ }
+ when {
+ successorParent?.left == successor -> successorParent?.left = null
+ successorParent?.right == successor -> successorParent?.right = null
+ }
+ }
+ --size
+ return oldValue
+ }
+
+ override operator fun set(key: K, value: V): V? {
+ val oldValue = setWithoutBalance(key, value).second
+ if (oldValue == null) {
+ size += 1
+ }
+ return oldValue
+ }
+}
diff --git a/lib/src/main/kotlin/trees/implementations/Vertices.kt b/lib/src/main/kotlin/trees/implementations/Vertices.kt
new file mode 100644
index 0000000..e2bb48f
--- /dev/null
+++ b/lib/src/main/kotlin/trees/implementations/Vertices.kt
@@ -0,0 +1,25 @@
+package trees.implementations
+
+import trees.abstracts.Vertex
+
+class SimpleVertex, V>(key: K, value: V) : Vertex>(key, value)
+
+class AVLVertex, V>(key: K, value: V) : Vertex>(key, value) {
+ var diffHeight: Int = 0
+ internal set(value) {
+ if (value !in -2..2) {
+ throw IllegalArgumentException("difference of heights can't be out of [-2,2]")
+ }
+ field = value
+ }
+}
+
+class RBVertex, V>(key: K, value: V) : Vertex>(key, value) {
+ var color: Color = Color.RED
+ var additionalType = false
+
+ enum class Color {
+ BLACK,
+ RED,
+ }
+}
diff --git a/lib/src/test/kotlin/trees/avltest/AvlGeneralTest.kt b/lib/src/test/kotlin/trees/avltest/AvlGeneralTest.kt
new file mode 100644
index 0000000..4501ea3
--- /dev/null
+++ b/lib/src/test/kotlin/trees/avltest/AvlGeneralTest.kt
@@ -0,0 +1,408 @@
+package trees.avltest
+
+import org.junit.jupiter.api.BeforeEach
+import org.junit.jupiter.api.Test
+import org.junit.jupiter.api.assertThrows
+import trees.avltest.AvlSpecificTest.Companion.checkTreeInvariant
+import trees.implementations.AvlTree
+import kotlin.test.assertContentEquals
+import kotlin.test.assertEquals
+import kotlin.test.assertIs
+
+class AvlGeneralTest {
+ private lateinit var avlTree: AvlTree
+
+ @BeforeEach
+ fun setup() {
+ avlTree = AvlTree()
+ }
+
+ @Test
+ fun `simple array test`() {
+ val array = intArrayOf(0, 1, 2, 3, 4)
+ for (i in array) {
+ avlTree[i] = -i
+ }
+ val expectedGet: Array = Array(5) { i -> -i }
+ val actualGet: Array = Array(5) { i -> avlTree[i] }
+ assertContentEquals(expectedGet, actualGet, "Get method must return the value associated with the key")
+ val expectedSize = 5
+ val actualSize = avlTree.size
+ assertEquals(expectedSize, actualSize, "Size the tree must correspond to the number key-value pairs")
+ checkTreeInvariant(avlTree.root)
+ }
+
+ @Test
+ fun `size of avl tree with duplicate keys`() {
+ for (i in 1..10) {
+ avlTree[i] = i + 30
+ }
+ for (i in 6..10) {
+ avlTree[i] = 0
+ }
+
+ val expectedSize = 10
+ val actualSize = avlTree.size
+ assertEquals(
+ expectedSize,
+ actualSize,
+ "Size of the tree must not change after overwriting an existing key",
+ )
+ checkTreeInvariant(avlTree.root)
+ }
+
+ @Test
+ fun `set keys twice`() {
+ for (i in 1..10) {
+ avlTree[i] = 30 + i
+ }
+ for (i in 1..10) {
+ avlTree[i] = 0
+ }
+
+ val expectedSize = 10
+ val actualSize = avlTree.size
+ assertEquals(
+ expectedSize,
+ actualSize,
+ "Size of the tree must not change after overwriting an existing key",
+ )
+ checkTreeInvariant(avlTree.root)
+ }
+
+ @Test
+ fun `set return`() {
+ assertEquals(
+ avlTree.set(44, -37),
+ null,
+ "Set must return null if set key was not present in the tree",
+ )
+
+ assertEquals(
+ avlTree.set(44, 152),
+ -37,
+ "Set must return previous value associated with the key",
+ )
+ }
+
+ @Test
+ fun `simple remove`() {
+ avlTree[0] = 5
+
+ val expectedResult = 5
+ val actualResult = avlTree.remove(0)
+ val expectedSize = 0
+ val actualSize = avlTree.size
+
+ assertEquals(
+ expectedResult,
+ actualResult,
+ "Remove must return removed value",
+ )
+ assertEquals(
+ expectedSize,
+ actualSize,
+ "Size of the tree must decrease after removing the existing key",
+ )
+ }
+
+ @Test
+ fun `remove a non-existent key`() {
+ avlTree[0] = 15
+ avlTree.remove(0)
+
+ val expectedResult = null
+ val actualResult = avlTree.remove(0)
+ assertEquals(
+ expectedResult,
+ actualResult,
+ "Remove a non-existent key must return null",
+ )
+ }
+
+ @Test
+ fun `remove root of left subtree with existing left vertex`() {
+ val keys = intArrayOf(0, -1, 1, -2)
+ for (key in keys) avlTree[key] = key
+ avlTree.remove(-1)
+
+ val expectedResult = arrayOf(0, null, 1, -2)
+ val actualResult = Array(keys.size) { i -> avlTree[keys[i]] }
+ assertContentEquals(
+ expectedResult,
+ actualResult,
+ "Tree must save all other vertices after remove vertex with existing left vertex",
+ )
+ checkTreeInvariant(avlTree.root)
+ }
+
+ @Test
+ fun `remove root of right subtree with existing left vertex`() {
+ val keys = intArrayOf(0, -1, 2, 1)
+ for (key in keys) avlTree[key] = key
+ avlTree.remove(2)
+
+ val expectedResult = arrayOf(0, -1, null, 1)
+ val actualResult = Array(keys.size) { i -> avlTree[keys[i]] }
+ assertContentEquals(
+ expectedResult,
+ actualResult,
+ "Tree must save all other vertices after remove root of right subtree with existing left vertex",
+ )
+ checkTreeInvariant(avlTree.root)
+ }
+
+ @Test
+ fun `remove with right subtree of height 1`() {
+ val keys = intArrayOf(0, -1, 3, 1, 2)
+ for (key in keys) avlTree[key] = key
+ avlTree.remove(3)
+
+ val expectedResult = arrayOf(0, -1, null, 1, 2)
+ val actualResult = Array(keys.size) { i -> avlTree[keys[i]] }
+ assertContentEquals(
+ expectedResult,
+ actualResult,
+ "Tree must save all other vertices after remove vertex with right subtree of height 1",
+ )
+ checkTreeInvariant(avlTree.root)
+ }
+
+ @Test
+ fun `remove with right subtree of height more than 1`() {
+ val keys = intArrayOf(0, -1, 3, -2, 1, 6, 4, 7)
+ for (key in keys) avlTree[key] = key
+ avlTree.remove(3)
+
+ val expectedResult = arrayOf(0, -1, null, -2, 1, 6, 4, 7)
+ val actualResult = Array(keys.size) { i -> avlTree[keys[i]] }
+ assertContentEquals(
+ expectedResult,
+ actualResult,
+ "Tree must save all other vertices after remove vertex with right subtree of height >1",
+ )
+ checkTreeInvariant(avlTree.root)
+ avlTree[5] = 5
+ checkTreeInvariant(avlTree.root)
+ }
+
+ @Test
+ fun `simple iteration`() {
+ val keys = intArrayOf(1, 7, 4, 9, 2, -44, 3)
+ val values = intArrayOf(19, 14, 31, 17, 12, -34, 0)
+ for (i in keys.indices) {
+ avlTree[keys[i]] = values[i]
+ }
+
+ val expectedResult: Array = arrayOf(-34, 19, 12, 0, 31, 14, 17)
+ val iterator = avlTree.iterator()
+ val actualResult: Array = Array(7) { iterator.next().second }
+ assertContentEquals(expectedResult, actualResult, "Iterator must return vertices in keys order")
+ checkTreeInvariant(avlTree.root)
+ }
+
+ @Test
+ fun `iteration outOfBonds exception`() {
+ val keys = intArrayOf(1, 3, 5, 7, 9, 12, 342, -488)
+ for (key in keys) avlTree[key] = key
+ val iterator = avlTree.iterator()
+ for (key in keys) {
+ assertIs>(
+ iterator.next(),
+ "iterator.next() must return Pair while all keys is not bypassed",
+ )
+ }
+ assertThrows(
+ "Iterator must throw IndexOutOfBondsException after next() if all keys is bypassed",
+ ) {
+ iterator.next()
+ }
+ }
+
+ @Test
+ fun clear() {
+ val keys = intArrayOf(1, 2, 7, 2, 4, 9)
+ for (key in keys) avlTree[key] = -key
+ avlTree.clear()
+
+ assertEquals(avlTree.size, 0, "Size of the tree must be 0 after clear")
+ assertEquals(avlTree.root, null, "Root of the tree must be null after clear")
+ }
+
+ @Test
+ fun `contains key`() {
+ val keys = intArrayOf(1, 7, 3, -34, 45)
+ for (key in keys) avlTree[key] = key
+
+ for (key in keys) {
+ assertEquals(
+ avlTree.containsKey(key),
+ true,
+ "containsKey must return true for keys existing in the tree",
+ )
+ }
+ avlTree.remove(-34)
+ val keysNotInTheTree = intArrayOf(102, 57, -22, -34)
+ for (key in keysNotInTheTree) {
+ assertEquals(
+ avlTree.containsKey(key),
+ false,
+ "containsKey must return false for keys not existing in the tree",
+ )
+ }
+ }
+
+ @Test
+ fun isNotEmpty() {
+ assertEquals(avlTree.isNotEmpty(), false, "isNotEmpty must return false if tree is empty")
+
+ val keys = intArrayOf(1, 45, -10045, 0, -10000, 3000004)
+ for (key in keys) avlTree[key] = key
+
+ assertEquals(avlTree.isNotEmpty(), true, "isNotEmpty must return true if tree is not empty")
+
+ avlTree.clear()
+
+ assertEquals(avlTree.isNotEmpty(), false, "isNotEmpty must return false if tree is empty")
+ }
+
+ @Test
+ fun isEmpty() {
+ assertEquals(avlTree.isEmpty(), true, "isEmpty must return true if tree is empty")
+
+ avlTree[14] = 902
+
+ assertEquals(avlTree.isEmpty(), false, "isEmpty must return false if tree is not empty")
+
+ avlTree.remove(14)
+
+ assertEquals(avlTree.isEmpty(), true, "isEmpty must return true if tree is empty")
+ }
+
+ @Test
+ fun max() {
+ val keys = intArrayOf(0, -1, 1, -45, 5, 4, 2, 3)
+ for (key in keys) avlTree[key] = key
+
+ val expectedResult = Pair(5, 5)
+ val actualResult = avlTree.max()
+
+ assertEquals(expectedResult, actualResult, "Max must return Pairs by max key in the tree")
+ checkTreeInvariant(avlTree.root)
+ }
+
+ @Test
+ fun `max after remove max key with double rotate`() {
+ val keys = intArrayOf(5, 1, 6, 0, 3, 7, 2, 4)
+ for (key in keys) avlTree[key] = key
+ avlTree.remove(7)
+
+ val expectedResult = Pair(6, 6)
+ val actualResult = avlTree.max()
+
+ assertEquals(expectedResult, actualResult, "Max must return Pair by max key in the tree")
+ checkTreeInvariant(avlTree.root)
+ }
+
+ @Test
+ fun min() {
+ val keys = intArrayOf(54, 88, 4332, -46, -2)
+ for (key in keys) avlTree[key] = key
+
+ val expectedResult = Pair(-46, -46)
+ val actualResult = avlTree.min()
+ assertEquals(expectedResult, actualResult, "Min must return Pair by min key in the tree")
+ checkTreeInvariant(avlTree.root)
+ }
+
+ @Test
+ fun `min after remove min key with double rotate`() {
+ val keys = intArrayOf(2, 1, 6, 0, 4, 7, 3, 5)
+ for (key in keys) avlTree[key] = key
+ avlTree.remove(0)
+
+ val expectedResult = Pair(1, 1)
+ val actualResult = avlTree.min()
+
+ assertEquals(expectedResult, actualResult, "Min must return Pair by min key in the tree")
+ checkTreeInvariant(avlTree.root)
+ }
+
+ @Test
+ fun `getOrSet with existing key`() {
+ avlTree[25] = -48
+
+ val expectedResult = -48
+ val actualResult = avlTree.getOrSet(25, 90)
+ assertEquals(
+ expectedResult,
+ actualResult,
+ "getOrSet must return value corresponding to the specified key if it's presented in the tree",
+ )
+ }
+
+ @Test
+ fun `getOrSet with non existing key`() {
+ assertEquals(
+ avlTree.getOrSet(0, -10500),
+ null,
+ "getOrSet must return null if key is not presented in the tree",
+ )
+ assertEquals(
+ avlTree[0],
+ -10500,
+ "getOrSet must set specified key-value if key was not presented in the tree",
+ )
+ }
+
+ @Test
+ fun `getOrDefault with existing key`() {
+ avlTree[45] = 45
+
+ val expectedResult = 45
+ val actualResult = avlTree.getOrDefault(45, "Default")
+ assertEquals(
+ expectedResult,
+ actualResult,
+ "getOrDefault must return value corresponding to the specified key if it's presented in the tree",
+ )
+ }
+
+ @Test
+ fun `getOrDefault with non existing key`() {
+ val expectedResult = "Default"
+ val actualResult = avlTree.getOrDefault(100, "Default")
+ assertEquals(
+ expectedResult,
+ actualResult,
+ "getOrDefault must return defaultValue if key is not presented in the tree",
+ )
+ }
+
+ @Test
+ fun `setIfAbsent when not absent`() {
+ avlTree[520] = 520
+ avlTree.setIfAbsent(520, -200)
+
+ val expectedResult = 520
+ val actualResult = avlTree[520]
+ assertEquals(
+ expectedResult,
+ actualResult,
+ "setIfAbsent must not change value if key is presented in the tree",
+ )
+ }
+
+ @Test
+ fun `setIfAbsent when absent`() {
+ avlTree.setIfAbsent(-100, 250)
+
+ val expectedResult = 250
+ val actualResult = avlTree[-100]
+ assertEquals(
+ expectedResult,
+ actualResult,
+ "setIfAbsent must set specified value under specified key if key was not presented in the tree",
+ )
+ }
+}
diff --git a/lib/src/test/kotlin/trees/avltest/AvlSpecificTest.kt b/lib/src/test/kotlin/trees/avltest/AvlSpecificTest.kt
new file mode 100644
index 0000000..04d592d
--- /dev/null
+++ b/lib/src/test/kotlin/trees/avltest/AvlSpecificTest.kt
@@ -0,0 +1,269 @@
+package trees.avltest
+
+import org.junit.jupiter.api.Assertions.assertTrue
+import org.junit.jupiter.api.BeforeEach
+import org.junit.jupiter.api.Test
+import trees.implementations.AVLVertex
+import trees.implementations.AvlTree
+import kotlin.test.assertContentEquals
+import kotlin.test.assertEquals
+
+class AvlSpecificTest {
+ private lateinit var avlTree: AvlTree
+
+ companion object {
+ /**
+ * Traverse all vertices of the tree and asserts that their diffHeights are
+ * equal to real height difference of the subtrees.
+ * @return height of the subtree with the root at the specified [vertex]
+ */
+ fun checkTreeInvariant(vertex: AVLVertex<*, *>?): Int {
+ if (vertex == null) return 0
+
+ val leftSubtreeHeight = checkTreeInvariant(vertex.left)
+ val rightSubtreeHeight = checkTreeInvariant(vertex.right)
+ val difference = leftSubtreeHeight - rightSubtreeHeight
+ assertTrue(
+ difference in -1..1,
+ "Height difference of subtrees must be in [-1,1]",
+ )
+ assertEquals(
+ difference,
+ vertex.diffHeight,
+ "Property diffHeights must match real Height difference of subtrees (key = ${vertex.key})",
+ )
+ return maxOf(checkTreeInvariant(vertex.left), checkTreeInvariant(vertex.right)) + 1
+ }
+ }
+
+ @BeforeEach
+ fun setup() {
+ avlTree = AvlTree()
+ }
+
+ @Test
+ fun `remove with double rotate`() {
+ val keys = intArrayOf(5, 0, 7, -1, 2, 6, 9, -2, 1, 3, 8, 4)
+ for (key in keys) avlTree[key] = key
+ avlTree.remove(7)
+
+ val expectedResult = arrayOf(5, 0, null, -1, 2, 6, 9, -2, 1, 3, 8, 4)
+ val actualResult = Array(keys.size) { i -> avlTree[keys[i]] }
+ assertContentEquals(
+ expectedResult,
+ actualResult,
+ "Tree must save all other vertices after remove that creates unbalance situation",
+ )
+ checkTreeInvariant(avlTree.root)
+ }
+
+ @Test
+ fun `remove root with double rotate`() {
+ val keys = intArrayOf(4, 1, 6, 0, 3, 5, 2)
+ for (key in keys) avlTree[key] = key
+ avlTree.remove(4)
+
+ assertTrue(avlTree.root != null)
+ val expectedResult = arrayOf(null, 1, 6, 0, 3, 5, 2)
+ val actualResult = Array(keys.size) { i -> avlTree[keys[i]] }
+ assertContentEquals(
+ expectedResult,
+ actualResult,
+ "Tree must save all other vertices after root remove",
+ )
+ checkTreeInvariant(avlTree.root)
+ }
+
+ @Test
+ fun `rotate left, right diffHeight = -1`() {
+ val keys = intArrayOf(0, -1, 2, 1, 3, 4)
+ for (key in keys) avlTree[key] = key
+
+ val expectedResult = Array(keys.size) { i -> keys[i] }
+ val actualResult = Array(keys.size) { i -> avlTree[keys[i]] }
+ assertContentEquals(
+ expectedResult,
+ actualResult,
+ "Get must return corresponding values after left rotate ( right.diffHeight = -1)",
+ )
+ checkTreeInvariant(avlTree.root)
+
+// 0 0 2
+// / \ / \ / \
+// -1 2 -1 2 0 3
+// / \ --> / \ --> / \ \
+// 1 3 1 3 -1 1 4
+// \
+// 4
+ }
+
+ @Test
+ fun `rotate left, right diffHeight = 0`() {
+ val keys = intArrayOf(0, -1, 4, 2, 6, -2, 1, 3, 5, 7)
+ for (key in keys) avlTree[key] = key
+ avlTree.remove(-2)
+
+ val expectedResult = arrayOf(0, -1, 4, 2, 6, null, 1, 3, 5, 7)
+ val actualResult = Array(keys.size) { i -> avlTree[keys[i]] }
+ assertContentEquals(
+ expectedResult,
+ actualResult,
+ "Get must return corresponding values after left rotate (right.diffHeight = 0)",
+ )
+ checkTreeInvariant(avlTree.root)
+// 0 0 4
+// / \ / \ / \
+// -1 4 -1 4 0 6
+// / / \ --> / \ --> / \ / \
+// -2 2 6 2 6 -1 2 5 7
+// / \ / \ / \ / \ / \
+// 1 3 5 7 1 3 5 7 1 3
+ }
+
+ @Test
+ fun `rotate right, left diffHeight = 1`() {
+ val keys = intArrayOf(0, 1, -1, -3, -2, -4)
+ for (key in keys) avlTree[key] = key
+
+ val expectedResult = Array(keys.size) { i -> keys[i] }
+ val actualResult = Array(keys.size) { i -> avlTree[keys[i]] }
+ assertContentEquals(
+ expectedResult,
+ actualResult,
+ "Get must return corresponding values after right rotate (left.diffHeight = 1)",
+ )
+ checkTreeInvariant(avlTree.root)
+
+// 0 0 -1
+// / \ / \ / \
+// -1 1 -1 1 -3 0
+// / \ --> / \ --> / / \
+// -3 -2 -3 -2 -4 -2 1
+// /
+// -4
+ }
+
+ @Test
+ fun `rotate right, left diffHeight = 0`() {
+ val keys = intArrayOf(7, 3, 8, 9, 1, 5, 0, 2, 4, 6)
+ for (key in keys) avlTree[key] = key
+ avlTree.remove(9)
+
+ val expectedResult = arrayOf(7, 3, 8, null, 1, 5, 0, 2, 4, 6)
+ val actualResult = Array(keys.size) { i -> avlTree[keys[i]] }
+ assertContentEquals(
+ expectedResult,
+ actualResult,
+ "Get must return corresponding values after right rotate (left.diffHeight = 0)",
+ )
+ checkTreeInvariant(avlTree.root)
+
+// 7 7 3
+// / \ / \ / \
+// 3 8 3 8 1 7
+// / \ \ --> / \ --> / \ / \
+// 1 5 9 1 5 0 2 5 8
+// / \ / \ / \ / \ / \
+// 0 2 4 6 0 2 4 6 4 6
+ }
+
+ @Test
+ fun `rotate right-left, right diffHeight is 1, right-left diffHeight is 1`() {
+ val keys = intArrayOf(1, 0, 4, 3, 5, 2)
+ for (key in keys) avlTree[key] = key
+
+ val expectedResult = Array(keys.size) { i -> keys[i] }
+ val actualResult = Array(keys.size) { i -> avlTree[keys[i]] }
+ assertContentEquals(
+ expectedResult,
+ actualResult,
+ "Get must return corresponding values after right-left rotate with right.left.diffHeight = 1",
+ )
+ checkTreeInvariant(avlTree.root)
+
+// 1 1 3
+// / \ / \ / \
+// 0 4 0 3 1 4
+// / \ --> / \ --> / \ \
+// 3 5 2 4 0 2 5
+// / \
+// 2 5
+ }
+
+ @Test
+ fun `rotate right-left, right diffHeight is 1, right-left diffHeight is 0`() {
+ val keys = intArrayOf(2, 1, 6, 0, 4, 7, 3, 5)
+ for (key in keys) avlTree[key] = key
+ avlTree.remove(0)
+
+ val expectedResult: Array = arrayOf(2, 1, 6, null, 4, 7, 3, 5)
+ val actualResult = Array(keys.size) { i -> avlTree[keys[i]] }
+ assertContentEquals(
+ expectedResult,
+ actualResult,
+ "Get must return corresponding values after right-left rotate with right.left.diffHeight = 0",
+ )
+ checkTreeInvariant(avlTree.root)
+ }
+
+ @Test
+ fun `rotate right-left, right diffHeight is 1, right-left diffHeight is -1`() {
+ val keys = intArrayOf(1, 0, 4, 2, 5, 3)
+ for (key in keys) avlTree[key] = key
+
+ val expectedResult = Array(keys.size) { i -> keys[i] }
+ val actualResult = Array(keys.size) { i -> avlTree[keys[i]] }
+ assertContentEquals(
+ expectedResult,
+ actualResult,
+ "Get must return corresponding values after right-left rotate with right.left.diffHeight = -1",
+ )
+ checkTreeInvariant(avlTree.root)
+ }
+
+ @Test
+ fun `rotate left-right, left diffHeight is -1, left-right diffHeight is -1`() {
+ val keys = intArrayOf(4, 1, 5, 0, 2, 3)
+ for (key in keys) avlTree[key] = key
+
+ val expectedResult = Array(keys.size) { i -> keys[i] }
+ val actualResult = Array(keys.size) { i -> avlTree[keys[i]] }
+ assertContentEquals(
+ expectedResult,
+ actualResult,
+ "Get must return corresponding values after left-right rotate with left.right.diffHeight = -1",
+ )
+ checkTreeInvariant(avlTree.root)
+ }
+
+ @Test
+ fun `rotate left-right, left diffHeight is -1, left-right diffHeight is 0`() {
+ val keys = intArrayOf(5, 1, 6, 0, 3, 7, 2, 4)
+ for (key in keys) avlTree[key] = key
+ avlTree.remove(7)
+
+ val expectedResult = arrayOf(5, 1, 6, 0, 3, null, 2, 4)
+ val actualResult = Array(keys.size) { i -> avlTree[keys[i]] }
+ assertContentEquals(
+ expectedResult,
+ actualResult,
+ "Get must return corresponding values after left-right rotate with left.right.diffHeight = 0",
+ )
+ checkTreeInvariant(avlTree.root)
+ }
+
+ @Test
+ fun `rotate left-right, left diffHeight is -1, left-right diffHeight is 1`() {
+ val keys = intArrayOf(4, 1, 5, 0, 3, 2)
+ for (key in keys) avlTree[key] = key
+
+ val expectedResult = Array(keys.size) { i -> keys[i] }
+ val actualResult = Array(keys.size) { i -> avlTree[keys[i]] }
+ assertContentEquals(
+ expectedResult,
+ actualResult,
+ "Get must return corresponding values after left-right rotate with left.right.diffHeight = 1",
+ )
+ checkTreeInvariant(avlTree.root)
+ }
+}
diff --git a/lib/src/test/kotlin/trees/bstest/BSTreeTest.kt b/lib/src/test/kotlin/trees/bstest/BSTreeTest.kt
new file mode 100644
index 0000000..f8466fa
--- /dev/null
+++ b/lib/src/test/kotlin/trees/bstest/BSTreeTest.kt
@@ -0,0 +1,141 @@
+package trees.bstest
+
+import org.junit.jupiter.api.Assertions.assertNull
+import org.junit.jupiter.api.BeforeEach
+import org.junit.jupiter.api.Test
+import trees.implementations.SimpleTree
+import kotlin.test.assertContentEquals
+import kotlin.test.assertEquals
+
+class BSTreeTest {
+ private lateinit var simpleTree: SimpleTree
+
+ @BeforeEach
+ fun setup() {
+ simpleTree = SimpleTree()
+ }
+
+ @Test
+ fun `check empty tree`() {
+ assertNull(simpleTree.root)
+ assertEquals(0, simpleTree.size)
+ }
+
+ @Test
+ fun `insert and find`() {
+ val array = intArrayOf(0, 1, 2, 3, 4, 5, 6, 7)
+ for (i in array) {
+ simpleTree[i] = -i
+ }
+ val expectedGet: Array = Array(7) { i -> -i }
+ val actualGet: Array = Array(7) { i -> simpleTree[i] }
+ assertContentEquals(expectedGet, actualGet, "Get method must return the value associated with the key")
+ val expectedSize = array.size
+ val actualSize = simpleTree.size
+ assertEquals(expectedSize, actualSize)
+ }
+
+ @Test
+ fun `simple delete`() {
+ val array = intArrayOf(0, 1, 2, 3, 4, 5, 6)
+ for (i in array) {
+ simpleTree[i] = i
+ }
+
+ val expectedResult = 3
+ val actualResult = simpleTree.remove(3)
+ assertEquals(expectedResult, actualResult)
+
+ val expectedSize = array.size - 1
+ val actualSize = simpleTree.size
+ assertEquals(expectedSize, actualSize)
+ }
+
+ @Test
+ fun `size with duplicate keys`() {
+ for (i in 1..10) {
+ simpleTree[i] = i + 30
+ }
+ for (i in 6..10) {
+ simpleTree[i] = 0
+ }
+
+ val expectedSize = 10
+ val actualSize = simpleTree.size
+ assertEquals(expectedSize, actualSize)
+ }
+
+ @Test
+ fun `twice keys`() {
+ for (i in 1..10) {
+ simpleTree[i] = 30 + i
+ }
+ for (i in 1..10) {
+ simpleTree[i] = 0
+ }
+
+ val expectedSize = 10
+ val actualSize = simpleTree.size
+ assertEquals(expectedSize, actualSize)
+ }
+
+ @Test
+ fun `remove non existent key`() {
+ simpleTree[0] = 15
+ val actualResult = simpleTree.remove(3)
+ val expectedResult = null
+ assertEquals(expectedResult, actualResult)
+ }
+
+ @Test
+ fun `remove root of left subtree`() {
+ val keys = intArrayOf(0, -1, 1, -2)
+ for (i in keys) {
+ simpleTree[i] = i
+ }
+ simpleTree.remove(-1)
+
+ val expectedResult: Array = arrayOf(0, null, 1, -2)
+ val actualResult = Array(keys.size) { j -> simpleTree[keys[j]] }
+ assertContentEquals(expectedResult, actualResult)
+ }
+
+ @Test
+ fun `remove root of right subtree`() {
+ val keys = intArrayOf(0, -1, 2, 1)
+ for (i in keys) {
+ simpleTree[i] = i
+ }
+ simpleTree.remove(-1)
+
+ val expectedResult: Array = arrayOf(0, null, 2, 1)
+ val actualResult = Array(keys.size) { j -> simpleTree[keys[j]] }
+ assertContentEquals(expectedResult, actualResult)
+ }
+
+ @Test
+ fun `remove root with 2 children`() {
+ val keys = intArrayOf(0, -1, 2, 1, 3)
+ for (key in keys) {
+ simpleTree[key] = key
+ }
+ simpleTree.remove(2)
+
+ val expectedResult: Array = arrayOf(0, -1, null, 1, 3)
+ val actualResult = Array(keys.size) { i -> simpleTree[keys[i]] }
+ assertContentEquals(expectedResult, actualResult)
+ }
+
+ @Test
+ fun `remove right root without children`() {
+ val keys = intArrayOf(0, -1, 2)
+ for (key in keys) {
+ simpleTree[key] = key
+ }
+ simpleTree.remove(2)
+
+ val expectedResult: Array = arrayOf(0, -1, null)
+ val actualResult = Array(keys.size) { i -> simpleTree[keys[i]] }
+ assertContentEquals(expectedResult, actualResult)
+ }
+}
diff --git a/lib/src/test/kotlin/trees/rbtest/RBTest.kt b/lib/src/test/kotlin/trees/rbtest/RBTest.kt
new file mode 100644
index 0000000..ec695bf
--- /dev/null
+++ b/lib/src/test/kotlin/trees/rbtest/RBTest.kt
@@ -0,0 +1,202 @@
+package trees.rbtest
+
+import org.junit.jupiter.api.Assertions
+import org.junit.jupiter.api.BeforeEach
+import org.junit.jupiter.api.Test
+import trees.implementations.RBTree
+import kotlin.test.assertContentEquals
+import kotlin.test.assertEquals
+
+class RBTest {
+ private lateinit var rbTree: RBTree
+
+ @BeforeEach
+ fun setup() {
+ rbTree = RBTree()
+ }
+
+ @Test
+ fun `simple array test`() {
+ val array = intArrayOf(0, 1, 2, 3, 4)
+ for (i in array) {
+ rbTree[i] = i
+ }
+ val expectedGet: Array = Array(5) { i -> i }
+ val actualGet: Array = Array(5) { i -> rbTree[i] }
+ assertContentEquals(expectedGet, actualGet, "Get method must return the value associated with the key")
+ val expectedSize = 5
+ val actualSize = rbTree.size
+ assertEquals(expectedSize, actualSize, "Size the tree must correspond to the number key-value pairs")
+ }
+
+ @Test
+ fun `array test`() {
+ val array = intArrayOf(2, 1, 3, 0, 4)
+ for (i in array) {
+ rbTree[i] = i
+ }
+ val expectedGet: Array = Array(5) { i -> i }
+ val actualGet: Array = Array(5) { i -> rbTree[i] }
+ assertContentEquals(expectedGet, actualGet, "Get method must return the value associated with the key")
+ val expectedSize = 5
+ val actualSize = rbTree.size
+ assertEquals(expectedSize, actualSize, "Size the tree must correspond to the number key-value pairs")
+ }
+
+ @Test
+ fun `size of red black tree with duplicate keys`() {
+ for (i in 1..10) {
+ rbTree[i] = i + 30
+ }
+ for (i in 6..10) {
+ rbTree[i] = 0
+ }
+
+ val expectedSize = 10
+ val actualSize = rbTree.size
+ assertEquals(
+ expectedSize,
+ actualSize,
+ "Size of the tree must not change after overwriting an existing key",
+ )
+ }
+
+ @Test
+ fun `simple array set test`() {
+ for (i in 0..19) {
+ rbTree[i] = i
+ }
+
+ for (i in 0..19) {
+ val expectedContains = rbTree[i]
+ assertEquals(expectedContains, i, "Added and not removed element does not contain in the tree")
+ }
+
+ val expectedGet: Array = Array(20) { i -> i }
+ val actualGet: Array = Array(20) { i -> rbTree[i] }
+ assertContentEquals(expectedGet, actualGet, "Get method must return the value associated with the key")
+ val expectedSize = 20
+ val actualSize = rbTree.size
+ assertEquals(expectedSize, actualSize, "Size the tree must correspond to the number key-value pairs")
+ }
+
+ @Test
+ fun `simple array set remove test`() {
+ for (i in 0..19) {
+ rbTree[i] = i
+ }
+ for (i in 10..19) {
+ rbTree.remove(i)
+ }
+ for (i in 10..19) {
+ val expectedNotContains = rbTree[i]
+ assertEquals(expectedNotContains, null, "Removed element contains in the tree")
+ }
+ for (i in 0..9) {
+ val expectedContains = rbTree[i]
+ assertEquals(expectedContains, i, "Added and not removed element does not contain in the tree")
+ }
+
+ val expectedGet: Array = Array(10) { i -> i }
+ val actualGet: Array = Array(10) { i -> rbTree[i] }
+ assertContentEquals(expectedGet, actualGet, "Get method must return the value associated with the key")
+ val expectedSize = 10
+ val actualSize = rbTree.size
+ assertEquals(expectedSize, actualSize, "Size the tree must correspond to the number key-value pairs")
+ }
+
+ @Test
+ fun `not simple array set remove test`() {
+ for (i in 19 downTo 0) {
+ rbTree[19 - i] = i
+ }
+ for (i in 8..19) {
+ rbTree.remove(i)
+ }
+
+ for (i in 8..19) {
+ val expectedNotContains = rbTree[i]
+ assertEquals(expectedNotContains, null, "Removed element contains in the tree")
+ }
+ for (i in 0..7) {
+ val expectedContains = rbTree[i]
+ assertEquals(expectedContains, 19 - i, "Added and not removed element does not contain in the tree")
+ }
+ }
+
+ @Test
+ fun `adding and removing all elements test`() {
+ for (i in 0..19) {
+ rbTree[i] = i
+ }
+ for (i in 0..19) {
+ rbTree.remove(i)
+ }
+ for (i in 0..19) {
+ val expectedNotContains = rbTree[i]
+ assertEquals(expectedNotContains, null, "Removed element contains in the tree")
+ }
+
+ val expectedGet: Array = emptyArray()
+ val actualGet: Array = Array(rbTree.size) { i -> rbTree[i] }
+ assertContentEquals(expectedGet, actualGet, "Get method must return the value associated with the key")
+ val expectedSize = 0
+ val actualSize = rbTree.size
+ assertEquals(expectedSize, actualSize, "Size the tree must correspond to the number key-value pairs")
+ }
+
+ @Test
+ fun `rotate left`() {
+ val keys = intArrayOf(0, -1, 4, 2, 6, -2, 1, 3, 5, 7)
+ for (key in keys) rbTree[key] = key
+ rbTree.remove(-2)
+
+ val expectedResult = arrayOf(0, -1, 4, 2, 6, null, 1, 3, 5, 7)
+ val actualResult = Array(keys.size) { i -> rbTree[keys[i]] }
+ assertContentEquals(
+ expectedResult,
+ actualResult,
+ )
+ }
+
+ @Test
+ fun `rotate right`() {
+ val keys = intArrayOf(0, 1, -1, -3, -2, -4)
+ for (key in keys) rbTree[key] = key
+
+ val expectedResult = Array(keys.size) { i -> keys[i] }
+ val actualResult = Array(keys.size) { i -> rbTree[keys[i]] }
+ assertContentEquals(
+ expectedResult,
+ actualResult,
+ )
+ }
+
+ @Test
+ fun `remove root with rotate`() {
+ val keys = intArrayOf(4, 1, 6, 0, 3, 5, 2)
+ for (key in keys) rbTree[key] = key
+ rbTree.remove(4)
+ Assertions.assertTrue(rbTree.root != null)
+ val expectedResult = arrayOf(null, 1, 6, 0, 3, 5, 2)
+ val actualResult = Array(keys.size) { i -> rbTree[keys[i]] }
+ assertContentEquals(
+ expectedResult,
+ actualResult,
+ )
+ }
+
+ @Test
+ fun `remove a non-existent key`() {
+ rbTree[0] = 15
+ rbTree.remove(0)
+
+ val expectedResult = null
+ val actualResult = rbTree.remove(0)
+ assertEquals(
+ expectedResult,
+ actualResult,
+ "Remove a non-existent key must return null",
+ )
+ }
+}
diff --git a/settings.gradle.kts b/settings.gradle.kts
new file mode 100644
index 0000000..7ba494f
--- /dev/null
+++ b/settings.gradle.kts
@@ -0,0 +1,14 @@
+/*
+ * This file was generated by the Gradle 'init' task.
+ *
+ * The settings file is used to specify which projects to include in your build.
+ * For more detailed information on multi-project builds, please refer to https://docs.gradle.org/8.6/userguide/multi_project_builds.html in the Gradle documentation.
+ */
+
+plugins {
+ // Apply the foojay-resolver plugin to allow automatic download of JDKs
+ id("org.gradle.toolchains.foojay-resolver-convention") version "0.7.0"
+}
+
+rootProject.name = "trees-8"
+include("lib")