From d4d50fef095c8fbaa63588ed6a28d4cb06c4b555 Mon Sep 17 00:00:00 2001 From: Revone Date: Wed, 30 Aug 2023 11:44:27 +0800 Subject: [PATCH] first commit --- .idea/data-structure-typed.iml | 2 + src/bst/.dependency-cruiser.js | 449 +++ src/bst/.gitignore | 15 + src/bst/.npmignore | 7 + src/bst/README.md | 700 ++++ src/bst/jest.config.js | 5 + src/bst/package-lock.json | 5784 ++++++++++++++++++++++++++++++++ src/bst/package.json | 44 + src/bst/src/bst.ts | 439 +++ src/bst/src/index.ts | 1 + src/bst/tsconfig.json | 37 + src/bst/yarn.lock | 2611 ++++++++++++++ tsconfig.json | 17 - 13 files changed, 10094 insertions(+), 17 deletions(-) create mode 100644 src/bst/.dependency-cruiser.js create mode 100644 src/bst/.gitignore create mode 100644 src/bst/.npmignore create mode 100644 src/bst/README.md create mode 100644 src/bst/jest.config.js create mode 100644 src/bst/package-lock.json create mode 100644 src/bst/package.json create mode 100644 src/bst/src/bst.ts create mode 100644 src/bst/src/index.ts create mode 100644 src/bst/tsconfig.json create mode 100644 src/bst/yarn.lock diff --git a/.idea/data-structure-typed.iml b/.idea/data-structure-typed.iml index 874fbb2..ac94332 100644 --- a/.idea/data-structure-typed.iml +++ b/.idea/data-structure-typed.iml @@ -9,6 +9,8 @@ + + diff --git a/src/bst/.dependency-cruiser.js b/src/bst/.dependency-cruiser.js new file mode 100644 index 0000000..21b641c --- /dev/null +++ b/src/bst/.dependency-cruiser.js @@ -0,0 +1,449 @@ +/** @type {import('dependency-cruiser').IConfiguration} */ +module.exports = { + forbidden: [ + /* rules from the 'recommended' preset: */ + { + name: 'no-circular', + severity: 'warn', + comment: + 'This dependency is part of a circular relationship. You might want to revise ' + + 'your solution (i.e. use dependency inversion, make sure the modules have a single responsibility) ', + from: {}, + to: { + circular: true + } + }, + { + name: 'no-orphans', + comment: + "This is an orphan module - it's likely not used (anymore?). Either use it or " + + "remove it. If it's logical this module is an orphan (i.e. it's a config file), " + + "add an exception for it in your dependency-cruiser configuration. By default " + + "this rule does not scrutinize dot-files (e.g. .eslintrc.js), TypeScript declaration " + + "files (.d.ts), tsconfig.json and some of the babel and webpack configs.", + severity: 'warn', + from: { + orphan: true, + pathNot: [ + '(^|/)\\.[^/]+\\.(js|cjs|mjs|ts|json)$', // dot files + '\\.d\\.ts$', // TypeScript declaration files + '(^|/)tsconfig\\.json$', // TypeScript config + '(^|/)(babel|webpack)\\.config\\.(js|cjs|mjs|ts|json)$' // other configs + ] + }, + to: {}, + }, + { + name: 'no-deprecated-core', + comment: + 'A module depends on a node core module that has been deprecated. Find an alternative - these are ' + + "bound to exist - node doesn't deprecate lightly.", + severity: 'warn', + from: {}, + to: { + dependencyTypes: [ + 'core' + ], + path: [ + '^(v8\/tools\/codemap)$', + '^(v8\/tools\/consarray)$', + '^(v8\/tools\/csvparser)$', + '^(v8\/tools\/logreader)$', + '^(v8\/tools\/profile_view)$', + '^(v8\/tools\/profile)$', + '^(v8\/tools\/SourceMap)$', + '^(v8\/tools\/splaytree)$', + '^(v8\/tools\/tickprocessor-driver)$', + '^(v8\/tools\/tickprocessor)$', + '^(node-inspect\/lib\/_inspect)$', + '^(node-inspect\/lib\/internal\/inspect_client)$', + '^(node-inspect\/lib\/internal\/inspect_repl)$', + '^(async_hooks)$', + '^(punycode)$', + '^(domain)$', + '^(constants)$', + '^(sys)$', + '^(_linklist)$', + '^(_stream_wrap)$' + ], + } + }, + { + name: 'not-to-deprecated', + comment: + 'This module uses a (version of an) npm module that has been deprecated. Either upgrade to a later ' + + 'version of that module, or find an alternative. Deprecated modules are a security risk.', + severity: 'warn', + from: {}, + to: { + dependencyTypes: [ + 'deprecated' + ] + } + }, + { + name: 'no-non-package-json', + severity: 'error', + comment: + "This module depends on an npm package that isn't in the 'dependencies' section of your package.json. " + + "That's problematic as the package either (1) won't be available on live (2 - worse) will be " + + "available on live with an non-guaranteed version. Fix it by adding the package to the dependencies " + + "in your package.json.", + from: {}, + to: { + dependencyTypes: [ + 'npm-no-pkg', + 'npm-unknown' + ] + } + }, + { + name: 'not-to-unresolvable', + comment: + "This module depends on a module that cannot be found ('resolved to disk'). If it's an npm " + + 'module: add it to your package.json. In all other cases you likely already know what to do.', + severity: 'error', + from: {}, + to: { + couldNotResolve: true + } + }, + { + name: 'no-duplicate-dep-types', + comment: + "Likely this module depends on an external ('npm') package that occurs more than once " + + "in your package.json i.e. bot as a devDependencies and in dependencies. This will cause " + + "maintenance problems later on.", + severity: 'warn', + from: {}, + to: { + moreThanOneDependencyType: true, + // as it's pretty common to have a type import be a type only import + // _and_ (e.g.) a devDependency - don't consider type-only dependency + // types for this rule + dependencyTypesNot: ["type-only"] + } + }, + + /* rules you might want to tweak for your specific situation: */ + { + name: 'not-to-spec', + comment: + 'This module depends on a spec (test) file. The sole responsibility of a spec file is to test code. ' + + "If there's something in a spec that's of use to other modules, it doesn't have that single " + + 'responsibility anymore. Factor it out into (e.g.) a separate utility/ helper or a mock.', + severity: 'error', + from: {}, + to: { + path: '\\.(spec|test)\\.(js|mjs|cjs|ts|ls|coffee|litcoffee|coffee\\.md)$' + } + }, + { + name: 'not-to-dev-dep', + severity: 'error', + comment: + "This module depends on an npm package from the 'devDependencies' section of your " + + 'package.json. It looks like something that ships to production, though. To prevent problems ' + + "with npm packages that aren't there on production declare it (only!) in the 'dependencies'" + + 'section of your package.json. If this module is development only - add it to the ' + + 'from.pathNot re of the not-to-dev-dep rule in the dependency-cruiser configuration', + from: { + path: '^(src)', + pathNot: '\\.(spec|test)\\.(js|mjs|cjs|ts|ls|coffee|litcoffee|coffee\\.md)$' + }, + to: { + dependencyTypes: [ + 'npm-dev' + ] + } + }, + { + name: 'optional-deps-used', + severity: 'info', + comment: + "This module depends on an npm package that is declared as an optional dependency " + + "in your package.json. As this makes sense in limited situations only, it's flagged here. " + + "If you're using an optional dependency here by design - add an exception to your" + + "dependency-cruiser configuration.", + from: {}, + to: { + dependencyTypes: [ + 'npm-optional' + ] + } + }, + { + name: 'peer-deps-used', + comment: + "This module depends on an npm package that is declared as a peer dependency " + + "in your package.json. This makes sense if your package is e.g. a plugin, but in " + + "other cases - maybe not so much. If the use of a peer dependency is intentional " + + "add an exception to your dependency-cruiser configuration.", + severity: 'warn', + from: {}, + to: { + dependencyTypes: [ + 'npm-peer' + ] + } + } + ], + options: { + + /* conditions specifying which files not to follow further when encountered: + - path: a regular expression to match + - dependencyTypes: see https://github.com/sverweij/dependency-cruiser/blob/main/doc/rules-reference.md#dependencytypes-and-dependencytypesnot + for a complete list + */ + doNotFollow: { + path: ['node_modules', 'src/libs'] + }, + + /* conditions specifying which dependencies to exclude + - path: a regular expression to match + - dynamic: a boolean indicating whether to ignore dynamic (true) or static (false) dependencies. + leave out if you want to exclude neither (recommended!) + */ + // exclude : { + // path: '', + // dynamic: true + // }, + + /* pattern specifying which files to include (regular expression) + dependency-cruiser will skip everything not matching this pattern + */ + // includeOnly : '', + + /* dependency-cruiser will include modules matching against the focus + regular expression in its output, as well as their neighbours (direct + dependencies and dependents) + */ + // focus : '', + + /* list of module systems to cruise */ + // moduleSystems: ['amd', 'cjs', 'es6', 'tsd'], + + /* prefix for links in html and svg output (e.g. 'https://github.com/you/yourrepo/blob/develop/' + to open it on your online repo or `vscode://file/${process.cwd()}/` to + open it in visual studio code), + */ + // prefix: '', + + /* false (the default): ignore dependencies that only exist before typescript-to-javascript compilation + true: also detect dependencies that only exist before typescript-to-javascript compilation + "specify": for each dependency identify whether it only exists before compilation or also after + */ + tsPreCompilationDeps: true, + + /* + list of extensions to scan that aren't javascript or compile-to-javascript. + Empty by default. Only put extensions in here that you want to take into + account that are _not_ parsable. + */ + // extraExtensionsToScan: [".json", ".jpg", ".png", ".svg", ".webp"], + + /* if true combines the package.jsons found from the module up to the base + folder the cruise is initiated from. Useful for how (some) mono-repos + manage dependencies & dependency definitions. + */ + // combinedDependencies: false, + + /* if true leave symlinks untouched, otherwise use the realpath */ + // preserveSymlinks: false, + + /* TypeScript project file ('tsconfig.json') to use for + (1) compilation and + (2) resolution (e.g. with the paths property) + + The (optional) fileName attribute specifies which file to take (relative to + dependency-cruiser's current working directory). When not provided + defaults to './tsconfig.json'. + */ + tsConfig: { + fileName: 'tsconfig.json' + }, + + /* Webpack configuration to use to get resolve options from. + + The (optional) fileName attribute specifies which file to take (relative + to dependency-cruiser's current working directory. When not provided defaults + to './webpack.conf.js'. + + The (optional) `env` and `arguments` attributes contain the parameters to be passed if + your webpack config is a function and takes them (see webpack documentation + for details) + */ + // webpackConfig: { + // fileName: './webpack.config.js', + // env: {}, + // arguments: {}, + // }, + + /* Babel config ('.babelrc', '.babelrc.json', '.babelrc.json5', ...) to use + for compilation (and whatever other naughty things babel plugins do to + source code). This feature is well tested and usable, but might change + behavior a bit over time (e.g. more precise results for used module + systems) without dependency-cruiser getting a major version bump. + */ + // babelConfig: { + // fileName: './.babelrc' + // }, + + /* List of strings you have in use in addition to cjs/ es6 requires + & imports to declare module dependencies. Use this e.g. if you've + re-declared require, use a require-wrapper or use window.require as + a hack. + */ + // exoticRequireStrings: [], + /* options to pass on to enhanced-resolve, the package dependency-cruiser + uses to resolve module references to disk. You can set most of these + options in a webpack.conf.js - this section is here for those + projects that don't have a separate webpack config file. + + Note: settings in webpack.conf.js override the ones specified here. + */ + enhancedResolveOptions: { + /* List of strings to consider as 'exports' fields in package.json. Use + ['exports'] when you use packages that use such a field and your environment + supports it (e.g. node ^12.19 || >=14.7 or recent versions of webpack). + + If you have an `exportsFields` attribute in your webpack config, that one + will have precedence over the one specified here. + */ + exportsFields: ["exports"], + /* List of conditions to check for in the exports field. e.g. use ['imports'] + if you're only interested in exposed es6 modules, ['require'] for commonjs, + or all conditions at once `(['import', 'require', 'node', 'default']`) + if anything goes for you. Only works when the 'exportsFields' array is + non-empty. + + If you have a 'conditionNames' attribute in your webpack config, that one will + have precedence over the one specified here. + */ + conditionNames: ["import", "require", "node", "default"], + /* + The extensions, by default are the same as the ones dependency-cruiser + can access (run `npx depcruise --info` to see which ones that are in + _your_ environment. If that list is larger than what you need (e.g. + it contains .js, .jsx, .ts, .tsx, .cts, .mts - but you don't use + TypeScript you can pass just the extensions you actually use (e.g. + [".js", ".jsx"]). This can speed up the most expensive step in + dependency cruising (module resolution) quite a bit. + */ + // extensions: [".js", ".jsx", ".ts", ".tsx", ".d.ts"], + /* + If your TypeScript project makes use of types specified in 'types' + fields in package.jsons of external dependencies, specify "types" + in addition to "main" in here, so enhanced-resolve (the resolver + dependency-cruiser uses) knows to also look there. You can also do + this if you're not sure, but still use TypeScript. In a future version + of dependency-cruiser this will likely become the default. + */ + mainFields: ["main", "types"], + }, + reporterOptions: { + dot: { + /* pattern of modules that can be consolidated in the detailed + graphical dependency graph. The default pattern in this configuration + collapses everything in node_modules to one folder deep so you see + the external modules, but not the innards your app depends upon. + */ + collapsePattern: 'node_modules/(@[^/]+/[^/]+|[^/]+)', + + /* Options to tweak the appearance of your graph.See + https://github.com/sverweij/dependency-cruiser/blob/main/doc/options-reference.md#reporteroptions + for details and some examples. If you don't specify a theme + don't worry - dependency-cruiser will fall back to the default one. + */ + // theme: { + // graph: { + // /* use splines: "ortho" for straight lines. Be aware though + // graphviz might take a long time calculating ortho(gonal) + // routings. + // */ + // splines: "true" + // }, + // modules: [ + // { + // criteria: { matchesFocus: true }, + // attributes: { + // fillcolor: "lime", + // penwidth: 2, + // }, + // }, + // { + // criteria: { matchesFocus: false }, + // attributes: { + // fillcolor: "lightgrey", + // }, + // }, + // { + // criteria: { matchesReaches: true }, + // attributes: { + // fillcolor: "lime", + // penwidth: 2, + // }, + // }, + // { + // criteria: { matchesReaches: false }, + // attributes: { + // fillcolor: "lightgrey", + // }, + // }, + // { + // criteria: { source: "^src/model" }, + // attributes: { fillcolor: "#ccccff" } + // }, + // { + // criteria: { source: "^src/view" }, + // attributes: { fillcolor: "#ccffcc" } + // }, + // ], + // dependencies: [ + // { + // criteria: { "rules[0].severity": "error" }, + // attributes: { fontcolor: "red", color: "red" } + // }, + // { + // criteria: { "rules[0].severity": "warn" }, + // attributes: { fontcolor: "orange", color: "orange" } + // }, + // { + // criteria: { "rules[0].severity": "info" }, + // attributes: { fontcolor: "blue", color: "blue" } + // }, + // { + // criteria: { resolved: "^src/model" }, + // attributes: { color: "#0000ff77" } + // }, + // { + // criteria: { resolved: "^src/view" }, + // attributes: { color: "#00770077" } + // } + // ] + // } + }, + archi: { + /* pattern of modules that can be consolidated in the high level + graphical dependency graph. If you use the high level graphical + dependency graph reporter (`archi`) you probably want to tweak + this collapsePattern to your situation. + */ + collapsePattern: '^(packages|src|lib|app|bin|test(s?)|spec(s?))/[^/]+|node_modules/(@[^/]+/[^/]+|[^/]+)', + + /* Options to tweak the appearance of your graph.See + https://github.com/sverweij/dependency-cruiser/blob/main/doc/options-reference.md#reporteroptions + for details and some examples. If you don't specify a theme + for 'archi' dependency-cruiser will use the one specified in the + dot section (see above), if any, and otherwise use the default one. + */ + // theme: { + // }, + }, + "text": { + "highlightFocused": true + }, + } + } +}; +// generated: dependency-cruiser@13.1.1 on 2023-08-02T09:11:55.676Z diff --git a/src/bst/.gitignore b/src/bst/.gitignore new file mode 100644 index 0000000..2b7beb6 --- /dev/null +++ b/src/bst/.gitignore @@ -0,0 +1,15 @@ +node_modules/**/* +npm-debug.* +*.jks +*.p8 +*.p12 +*.key +*.mobileprovision +*.orig.* +dist/ +.DS_Store +__tests__/ + +notes/ +docs/ +backup/ \ No newline at end of file diff --git a/src/bst/.npmignore b/src/bst/.npmignore new file mode 100644 index 0000000..06a8d71 --- /dev/null +++ b/src/bst/.npmignore @@ -0,0 +1,7 @@ +/.idea + +/src +/tests +/notes +/docs +/backup \ No newline at end of file diff --git a/src/bst/README.md b/src/bst/README.md new file mode 100644 index 0000000..3d25e4b --- /dev/null +++ b/src/bst/README.md @@ -0,0 +1,700 @@ +# What + +## Brief +Javascript & TypeScript Data Structure Library. + +Binary Tree, Binary Search Tree (BST), AVL Tree, Tree Multiset, Segment Tree, Binary Indexed Tree, Graph, Directed Graph, Undirected Graph, Linked List, Singly Linked List, Doubly Linked List, Queue, Object Deque, Array Deque, Stack, Hash, Coordinate Set, Coordinate Map, Heap, Priority Queue, Max Priority Queue, Min Priority Queue, Trie + +## Algorithms list only a few out, you can discover more in API docs + +DFS, DFSIterative, BFS, morris, Bellman-Ford Algorithm, Dijkstra's Algorithm, Floyd-Warshall Algorithm, Tarjan's Algorithm + +## Code design +By strictly adhering to object-oriented design (BinaryTree -> BST -> AVLTree -> TreeMultiset), you can seamlessly inherit the existing data structures to implement the customized ones you need. Object-oriented design stands as the optimal approach to data structure design. + +# How + +## install +### yarn + +```bash +yarn add data-structure-typed +``` + +### npm + +```bash +npm install data-structure-typed +``` + +### Binary Search Tree (BST) snippet + +#### TS +```typescript + import {BST, BSTNode} from 'data-structure-typed'; + + const bst = new BST(); + bst.add(11); + bst.add(3); + bst.addMany([15, 1, 8, 13, 16, 2, 6, 9, 12, 14, 4, 7, 10, 5]); + bst.size === 16; // true + bst.has(6); // true + const node6 = bst.get(6); + bst.getHeight(6) === 2; // true + bst.getHeight() === 5; // true + bst.getDepth(6) === 3; // true + const leftMost = bst.getLeftMost(); + leftMost?.id === 1; // true + expect(leftMost?.id).toBe(1); + bst.remove(6); + bst.get(6); // null + bst.isAVLBalanced(); // true or false + const bfsIDs = bst.BFS(); + bfsIDs[0] === 11; // true + expect(bfsIDs[0]).toBe(11); + + const objBST = new BST>(); + objBST.add(11, {id: 11, keyA: 11}); + objBST.add(3, {id: 3, keyA: 3}); + + objBST.addMany([{id: 15, keyA: 15}, {id: 1, keyA: 1}, {id: 8, keyA: 8}, + {id: 13, keyA: 13}, {id: 16, keyA: 16}, {id: 2, keyA: 2}, + {id: 6, keyA: 6}, {id: 9, keyA: 9}, {id: 12, keyA: 12}, + {id: 14, keyA: 14}, {id: 4, keyA: 4}, {id: 7, keyA: 7}, + {id: 10, keyA: 10}, {id: 5, keyA: 5}]); + + objBST.remove(11); + + + const avlTree = new AVLTree(); + avlTree.addMany([11, 3, 15, 1, 8, 13, 16, 2, 6, 9, 12, 14, 4, 7, 10, 5]) + avlTree.isAVLBalanced(); // true + avlTree.remove(10); + avlTree.isAVLBalanced(); // true + +``` +#### JS +```javascript + const {BST, BSTNode} = require('data-structure-typed'); + + const bst = new BST(); + bst.add(11); + bst.add(3); + bst.addMany([15, 1, 8, 13, 16, 2, 6, 9, 12, 14, 4, 7, 10, 5]); + bst.size === 16; // true + bst.has(6); // true + const node6 = bst.get(6); + bst.getHeight(6) === 2; // true + bst.getHeight() === 5; // true + bst.getDepth(6) === 3; // true + const leftMost = bst.getLeftMost(); + leftMost?.id === 1; // true + expect(leftMost?.id).toBe(1); + bst.remove(6); + bst.get(6); // null + bst.isAVLBalanced(); // true or false + const bfsIDs = bst.BFS(); + bfsIDs[0] === 11; // true + expect(bfsIDs[0]).toBe(11); + + const objBST = new BST(); + objBST.add(11, {id: 11, keyA: 11}); + objBST.add(3, {id: 3, keyA: 3}); + + objBST.addMany([{id: 15, keyA: 15}, {id: 1, keyA: 1}, {id: 8, keyA: 8}, + {id: 13, keyA: 13}, {id: 16, keyA: 16}, {id: 2, keyA: 2}, + {id: 6, keyA: 6}, {id: 9, keyA: 9}, {id: 12, keyA: 12}, + {id: 14, keyA: 14}, {id: 4, keyA: 4}, {id: 7, keyA: 7}, + {id: 10, keyA: 10}, {id: 5, keyA: 5}]); + + objBST.remove(11); + + + const avlTree = new AVLTree(); + avlTree.addMany([11, 3, 15, 1, 8, 13, 16, 2, 6, 9, 12, 14, 4, 7, 10, 5]) + avlTree.isAVLBalanced(); // true + avlTree.remove(10); + avlTree.isAVLBalanced(); // true + +``` + +### Directed Graph simple snippet + +#### TS or JS +```typescript +import {DirectedGraph} from 'data-structure-typed'; + + const graph = new DirectedGraph(); + + graph.addVertex('A'); + graph.addVertex('B'); + + graph.hasVertex('A'); // true + graph.hasVertex('B'); // true + graph.hasVertex('C'); // false + + graph.addEdge('A', 'B'); + graph.hasEdge('A', 'B'); // true + graph.hasEdge('B', 'A'); // false + + graph.removeEdgeSrcToDest('A', 'B'); + graph.hasEdge('A', 'B'); // false + + graph.addVertex('C'); + + graph.addEdge('A', 'B'); + graph.addEdge('B', 'C'); + + const topologicalOrderIds = graph.topologicalSort(); // ['A', 'B', 'C'] +``` + +### Undirected Graph snippet + +#### TS or JS +```typescript +import {UndirectedGraph} from 'data-structure-typed'; + + const graph = new UndirectedGraph(); + graph.addVertex('A'); + graph.addVertex('B'); + graph.addVertex('C'); + graph.addVertex('D'); + graph.removeVertex('C'); + graph.addEdge('A', 'B'); + graph.addEdge('B', 'D'); + + const dijkstraResult = graph.dijkstra('A'); + Array.from(dijkstraResult?.seen ?? []).map(vertex => vertex.id) // ['A', 'B', 'D'] +``` + +![](https://github.com/zrwusa/assets/blob/master/images/data-structure-typed/examples/dfs-pre-order.webp) + +![](https://github.com/zrwusa/assets/blob/master/images/data-structure-typed/examples/test-graphs.webp) + +![](https://github.com/zrwusa/assets/blob/master/images/data-structure-typed/examples/cut-off-trees-for-golf.webp) + +![](https://github.com/zrwusa/assets/blob/master/images/data-structure-typed/examples/parenthesis-check.webp) + + +## API docs & Examples + +[API Docs](https://data-structure-typed-docs.vercel.app) + +[Live Examples](https://data-structure-typed-examples.vercel.app) + +Live Examples + +[//]: # ([Examples Repository](https://github.com/zrwusa/data-structure-typed-examples)) + +Examples Repository + +## Data Structures + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +[//]: # () + +[//]: # () + +[//]: # () + +[//]: # () + +[//]: # () + +[//]: # () + +[//]: # () + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
Data StructureUnit TestPerformance TestAPI DocumentationImplemented
Binary Tree + +Binary Tree
Binary Search Tree (BST)BST
AVL TreeAVLTree
Tree MultisetTreeMultiset
Segment TreeSegmentTree
Binary Indexed TreeBinaryIndexedTree
GraphAbstractGraph
Directed GraphDirectedGraph
Undirected GraphUndirectedGraph
Linked ListSinglyLinkedList
Singly Linked ListSinglyLinkedList
Doubly Linked ListDoublyLinkedList
QueueQueue
Object DequeObjectDeque
Array DequeArrayDeque
StackStack
HashHashTable
Coordinate SetCoordinateSet
Coordinate MapCoordinateMap
HeapHeap
Priority QueuePriorityQueue
Max Priority QueueMaxPriorityQueue
Min Priority QueueMinPriorityQueue
TrieTrie
+ + +# Why + +## Complexities + +### performance of Big O + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
Big O NotationTypeComputations for 10 elementsComputations for 100 elementsComputations for 1000 elements
O(1)Constant111
O(log N)Logarithmic369
O(N)Linear101001000
O(N log N)n log(n)306009000
O(N^2)Quadratic100100001000000
O(2^N)Exponential10241.26e+291.07e+301
O(N!)Factorial36288009.3e+1574.02e+2567
+ +### Data Structure Complexity + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
Data StructureAccessSearchInsertionDeletionComments
Array1nnn
Stacknn11
Queuenn11
Linked Listnn1n
Hash Table-nnnIn case of perfect hash function costs would be O(1)
Binary Search TreennnnIn case of balanced tree costs would be O(log(n))
B-Treelog(n)log(n)log(n)log(n)
Red-Black Treelog(n)log(n)log(n)log(n)
AVL Treelog(n)log(n)log(n)log(n)
Bloom Filter-11-False positives are possible while searching
+ +### Sorting Complexity + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
NameBestAverageWorstMemoryStableComments
Bubble sortnn2n21Yes
Insertion sortnn2n21Yes
Selection sortn2n2n21No
Heap sortn log(n)n log(n)n log(n)1No
Merge sortn log(n)n log(n)n log(n)nYes
Quick sortn log(n)n log(n)n2log(n)NoQuicksort is usually done in-place with O(log(n)) stack space
Shell sortn log(n)depends on gap sequencen (log(n))21No
Counting sortn + rn + rn + rn + rYesr - biggest number in array
Radix sortn * kn * kn * kn + kYesk - length of longest key
+ +![overview diagram](https://github.com/zrwusa/assets/blob/master/images/data-structure-typed/assets/overview-diagram-of-data-structures.png) + +![complexities](https://github.com/zrwusa/assets/blob/master/images/data-structure-typed/assets/complexities-diff.jpg) + +![complexities of data structures](https://github.com/zrwusa/assets/blob/master/images/data-structure-typed/assets/data-structure-complexities.jpg) + +[//]: # (![](https://github.com/zrwusa/assets/blob/master/images/data-structure-typed/binary-tree/bst-rotation.gif)) + +[//]: # () +[//]: # (![](https://github.com/zrwusa/assets/blob/master/images/data-structure-typed/binary-tree/avl-tree-inserting.gif)) + +[//]: # () +[//]: # (![](https://github.com/zrwusa/assets/blob/master/images/data-structure-typed/graph/tarjan.webp)) + +[//]: # () +[//]: # (![](https://github.com/zrwusa/assets/blob/master/images/data-structure-typed/graph/adjacency-list.jpg)) + +[//]: # () +[//]: # (![](https://github.com/zrwusa/assets/blob/master/images/data-structure-typed/graph/adjacency-list-pros-cons.jpg)) + +[//]: # () +[//]: # (![](https://github.com/zrwusa/assets/blob/master/images/data-structure-typed/graph/adjacency-matrix.jpg)) + +[//]: # () +[//]: # (![](https://github.com/zrwusa/assets/blob/master/images/data-structure-typed/graph/adjacency-matrix-pros-cons.jpg)) + +[//]: # () +[//]: # (![](https://github.com/zrwusa/assets/blob/master/images/data-structure-typed/graph/dfs-can-do.jpg)) + +[//]: # () +[//]: # (![](https://github.com/zrwusa/assets/blob/master/images/data-structure-typed/graph/edge-list.jpg)) + +[//]: # () +[//]: # (![](https://github.com/zrwusa/assets/blob/master/images/data-structure-typed/graph/edge-list-pros-cons.jpg)) + +[//]: # () +[//]: # (![](https://github.com/zrwusa/assets/blob/master/images/data-structure-typed/graph/max-flow.jpg)) + +[//]: # () +[//]: # 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"Binary Search Tree (BST). Javascript & Typescript Data Structure.", + "main": "dist/index.js", + "scripts": { + "build": "rm -rf dist && npx tsc", + "test": "jest", + "build:docs": "typedoc --out docs ./src", + "deps:check": "dependency-cruiser src", + "build:publish": "npm run test && npm run build && npm run build:docs && npm publish" + }, + "repository": { + "type": "git", + "url": "git+https://github.com/zrwusa/bst.git" + }, + "keywords": [ + "Binary Tree", + "Binary Search Tree (BST)", + "DFS", + "DFSIterative", + "BFS" + ], + "author": "Tyler Zeng zrwusa@gmail.com", + "license": "MIT", + "bugs": { + "url": "https://github.com/zrwusa/bst/issues" + }, + "homepage": "https://github.com/zrwusa/bst#readme", + "types": "dist/index.d.ts", + "devDependencies": { + "@types/jest": "^29.5.3", + "@types/node": "^20.4.9", + "dependency-cruiser": "^13.1.2", + "jest": "^29.6.2", + "ts-jest": "^29.1.1", + "typedoc": "^0.24.8", + "typescript": "^4.9.5" + }, + "dependencies": { + "data-structure-typed": "^1.19.0", + "zod": "^3.22.2" + } +} diff --git a/src/bst/src/bst.ts b/src/bst/src/bst.ts new file mode 100644 index 0000000..a17ede3 --- /dev/null +++ b/src/bst/src/bst.ts @@ -0,0 +1,439 @@ +/** + * data-structure-typed + * + * @author Tyler Zeng + * @copyright Copyright (c) 2022 Tyler Zeng + * @license MIT License + */ +import type { + BinaryTreeNodeId, + BinaryTreeNodePropertyName, + BSTComparator, + BSTNodeNested, + BSTOptions +} from 'data-structure-typed'; +import {BinaryTree, BinaryTreeNode, CP, IBST, IBSTNode, LoopType} from 'data-structure-typed'; + +export class BSTNode = BSTNodeNested> extends BinaryTreeNode implements IBSTNode { + +} + +export class BST = BSTNode> extends BinaryTree implements IBST { + /** + * The constructor function initializes a binary search tree object with an optional comparator function. + * @param {BSTOptions} [options] - An optional object that contains configuration options for the binary search tree. + */ + constructor(options?: BSTOptions) { + super(options); + if (options !== undefined) { + const {comparator} = options; + if (comparator !== undefined) { + this._comparator = comparator; + } + } + } + + /** + * The function creates a new binary search tree node with the given id and value. + * @param {BinaryTreeNodeId} id - The `id` parameter is the identifier for the binary tree node. It is used to uniquely + * identify each node in the binary tree. + * @param [val] - The `val` parameter is an optional value that can be assigned to the node. It represents the value + * that will be stored in the node. + * @returns a new instance of the BSTNode class with the specified id and value. + */ + override createNode(id: BinaryTreeNodeId, val?: N['val']): N { + return new BSTNode(id, val) as N; + } + + /** + * The `add` function adds a new node to a binary tree, ensuring that duplicates are not accepted. + * @param {BinaryTreeNodeId} id - The `id` parameter is the identifier of the binary tree node that we want to add. It + * is of type `BinaryTreeNodeId`. + * @param [val] - The `val` parameter is an optional value that can be assigned to the node being added. It represents + * the value associated with the node. + * @returns The function `add` returns the inserted node (`inserted`) if it was successfully added to the binary tree. + * If the node was not added (e.g., due to a duplicate ID), it returns `null` or `undefined`. + */ + override add(id: BinaryTreeNodeId, val?: N['val']): N | null | undefined { + let inserted: N | null = null; + const newNode = this.createNode(id, val); + if (this.root === null) { + this._setRoot(newNode); + this._setSize(this.size + 1); + inserted = (this.root); + } else { + let cur = this.root; + let traversing = true; + while (traversing) { + if (cur !== null && newNode !== null) { + if (this._compare(cur.id, id) === CP.eq) { + if (newNode) { + cur.val = newNode.val; + } + //Duplicates are not accepted. + traversing = false; + inserted = cur; + } else if (this._compare(cur.id, id) === CP.gt) { + // Traverse left of the node + if (cur.left === undefined) { + if (newNode) { + newNode.parent = cur; + } + //Add to the left of the current node + cur.left = newNode; + this._setSize(this.size + 1); + traversing = false; + inserted = cur.left; + } else { + //Traverse the left of the current node + if (cur.left) cur = cur.left; + } + } else if (this._compare(cur.id, id) === CP.lt) { + // Traverse right of the node + if (cur.right === undefined) { + if (newNode) { + newNode.parent = cur; + } + //Add to the right of the current node + cur.right = newNode; + this._setSize(this.size + 1); + traversing = false; + inserted = (cur.right); + } else { + //Traverse the left of the current node + if (cur.right) cur = cur.right; + } + } + } else { + traversing = false; + } + } + } + return inserted; + } + + /** + * The function returns the first node in a binary tree that matches the given property name and value. + * @param {BinaryTreeNodeId | N} nodeProperty - The `nodeProperty` parameter can be either a `BinaryTreeNodeId` or a + * generic type `N`. It represents the property of the binary tree node that you want to search for. + * @param {BinaryTreeNodePropertyName} [propertyName] - The `propertyName` parameter is an optional parameter that + * specifies the property name to use for searching the binary tree nodes. If not provided, it defaults to `'id'`. + * @returns The method is returning either a BinaryTreeNodeId or N (generic type) or null. + */ + override get(nodeProperty: BinaryTreeNodeId | N, propertyName ?: BinaryTreeNodePropertyName): N | null { + propertyName = propertyName ?? 'id'; + return this.getNodes(nodeProperty, propertyName, true)[0] ?? null; + } + + /** + * The function returns the id of the rightmost node if the comparison between two values is less than, the id of the + * leftmost node if the comparison is greater than, and the id of the rightmost node otherwise. + * @returns The method `lastKey()` returns the id of the rightmost node in the binary tree if the comparison between + * the values at index 0 and 1 is less than, otherwise it returns the id of the leftmost node. If the comparison is + * equal, it returns the id of the rightmost node. If there are no nodes in the tree, it returns 0. + */ + lastKey(): BinaryTreeNodeId { + if (this._compare(0, 1) === CP.lt) return this.getRightMost()?.id ?? 0; + else if (this._compare(0, 1) === CP.gt) return this.getLeftMost()?.id ?? 0; + else return this.getRightMost()?.id ?? 0; + } + + /** + * The function `getNodes` returns an array of nodes in a binary tree that match a given property value. + * @param {BinaryTreeNodeId | N} nodeProperty - The `nodeProperty` parameter can be either a `BinaryTreeNodeId` or an + * `N` type. It represents the property of the binary tree node that you want to compare with. + * @param {BinaryTreeNodePropertyName} [propertyName] - The `propertyName` parameter is an optional parameter that + * specifies the property name to use for comparison. If not provided, it defaults to `'id'`. + * @param {boolean} [onlyOne] - The `onlyOne` parameter is an optional boolean parameter that determines whether to + * return only one node that matches the given `nodeProperty` or all nodes that match the `nodeProperty`. If `onlyOne` + * is set to `true`, the function will return an array with only one node (if + * @returns an array of nodes (type N). + */ + override getNodes(nodeProperty: BinaryTreeNodeId | N, propertyName ?: BinaryTreeNodePropertyName, onlyOne ?: boolean): N[] { + propertyName = propertyName ?? 'id'; + if (!this.root) return []; + const result: N[] = []; + + if (this.loopType === LoopType.RECURSIVE) { + const _traverse = (cur: N) => { + if (this._pushByPropertyNameStopOrNot(cur, result, nodeProperty, propertyName, onlyOne)) return; + + if (!cur.left && !cur.right) return; + if (propertyName === 'id') { + if (this._compare(cur.id, nodeProperty as number) === CP.gt) cur.left && _traverse(cur.left); + if (this._compare(cur.id, nodeProperty as number) === CP.lt) cur.right && _traverse(cur.right); + } else { + cur.left && _traverse(cur.left); + cur.right && _traverse(cur.right); + } + } + + _traverse(this.root); + } else { + const queue: N[] = [this.root]; + while (queue.length > 0) { + const cur = queue.shift(); + if (cur) { + if (this._pushByPropertyNameStopOrNot(cur, result, nodeProperty, propertyName, onlyOne)) return result; + if (propertyName === 'id') { + if (this._compare(cur.id, nodeProperty as number) === CP.gt) cur.left && queue.push(cur.left); + if (this._compare(cur.id, nodeProperty as number) === CP.lt) cur.right && queue.push(cur.right); + } else { + cur.left && queue.push(cur.left); + cur.right && queue.push(cur.right); + } + } + } + } + + return result; + } + + // --- start additional functions + /** + * The `lesserSum` function calculates the sum of property values in a binary tree for nodes that have a property value + * less than a given node. + * @param {N | BinaryTreeNodeId | null} beginNode - The `beginNode` parameter can be one of the following: + * @param {BinaryTreeNodePropertyName} [propertyName] - The `propertyName` parameter is an optional parameter that + * specifies the property name to use for calculating the sum. If not provided, it defaults to `'id'`. + * @returns The function `lesserSum` returns a number, which represents the sum of the values of the nodes in the + * binary tree that have a lesser value than the specified `beginNode` based on the `propertyName`. + */ + lesserSum(beginNode: N | BinaryTreeNodeId | null, propertyName ?: BinaryTreeNodePropertyName): number { + propertyName = propertyName ?? 'id'; + if (typeof beginNode === 'number') beginNode = this.get(beginNode, 'id'); + if (!beginNode) return 0; + if (!this.root) return 0; + const id = beginNode.id; + const getSumByPropertyName = (cur: N) => { + let needSum: number; + switch (propertyName) { + case 'id': + needSum = cur.id; + break; + default: + needSum = cur.id; + break; + } + return needSum; + } + + let sum = 0; + + if (this.loopType === LoopType.RECURSIVE) { + const _traverse = (cur: N): void => { + const compared = this._compare(cur.id, id); + if (compared === CP.eq) { + if (cur.right) sum += this.subTreeSum(cur.right, propertyName); + return; + } else if (compared === CP.lt) { + if (cur.left) sum += this.subTreeSum(cur.left, propertyName); + sum += getSumByPropertyName(cur); + if (cur.right) _traverse(cur.right); + else return; + } else { + if (cur.left) _traverse(cur.left); + else return; + } + }; + + _traverse(this.root); + } else { + const queue: N[] = [this.root]; + while (queue.length > 0) { + const cur = queue.shift(); + if (cur) { + const compared = this._compare(cur.id, id); + if (compared === CP.eq) { + if (cur.right) sum += this.subTreeSum(cur.right, propertyName); + return sum; + } else if (compared === CP.lt) { // todo maybe a bug + if (cur.left) sum += this.subTreeSum(cur.left, propertyName); + sum += getSumByPropertyName(cur); + if (cur.right) queue.push(cur.right); + else return sum; + } else { + if (cur.left) queue.push(cur.left); + else return sum; + } + } + } + } + + return sum; + } + + /** + * The `allGreaterNodesAdd` function adds a delta value to the specified property of all nodes in a binary tree that + * have a greater value than a given node. + * @param {N | BinaryTreeNodeId | null} node - The `node` parameter can be either of type `N` (a generic type), + * `BinaryTreeNodeId`, or `null`. It represents the node in the binary tree to which the delta value will be added. + * @param {number} delta - The `delta` parameter is a number that represents the amount by which the property value of + * each greater node should be increased. + * @param {BinaryTreeNodePropertyName} [propertyName] - The `propertyName` parameter is an optional parameter that + * specifies the property name of the nodes in the binary tree that you want to update. If not provided, it defaults to + * 'id'. + * @returns a boolean value. + */ + allGreaterNodesAdd(node: N | BinaryTreeNodeId | null, delta: number, propertyName ?: BinaryTreeNodePropertyName): boolean { + propertyName = propertyName ?? 'id'; + if (typeof node === 'number') node = this.get(node, 'id'); + if (!node) return false; + const id = node.id; + if (!this.root) return false; + + const _sumByPropertyName = (cur: N) => { + switch (propertyName) { + case 'id': + cur.id += delta; + break; + default: + cur.id += delta; + break; + } + } + if (this.loopType === LoopType.RECURSIVE) { + const _traverse = (cur: N) => { + const compared = this._compare(cur.id, id); + if (compared === CP.gt) _sumByPropertyName(cur); + + if (!cur.left && !cur.right) return; + if (cur.left && this._compare(cur.left.id, id) === CP.gt) _traverse(cur.left); + if (cur.right && this._compare(cur.right.id, id) === CP.gt) _traverse(cur.right); + }; + + _traverse(this.root); + return true; + } else { + const queue: N[] = [this.root]; + while (queue.length > 0) { + const cur = queue.shift(); + if (cur) { + const compared = this._compare(cur.id, id); + if (compared === CP.gt) _sumByPropertyName(cur); + + if (cur.left && this._compare(cur.left.id, id) === CP.gt) queue.push(cur.left); + if (cur.right && this._compare(cur.right.id, id) === CP.gt) queue.push(cur.right); + } + } + return true; + } + } + + /** + * Balancing Adjustment: + * Perfectly Balanced Binary Tree: Since the balance of a perfectly balanced binary tree is already fixed, no additional balancing adjustment is needed. Any insertion or deletion operation will disrupt the perfect balance, often requiring a complete reconstruction of the tree. + * AVL Tree: After insertion or deletion operations, an AVL tree performs rotation adjustments based on the balance factor of nodes to restore the tree's balance. These rotations can be left rotations, right rotations, left-right rotations, or right-left rotations, performed as needed. + * + * Use Cases and Efficiency: + * Perfectly Balanced Binary Tree: Perfectly balanced binary trees are typically used in specific scenarios such as complete binary heaps in heap sort or certain types of Huffman trees. However, they are not suitable for dynamic operations requiring frequent insertions and deletions, as these operations often necessitate full tree reconstruction. + * AVL Tree: AVL trees are well-suited for scenarios involving frequent searching, insertion, and deletion operations. Through rotation adjustments, AVL trees maintain their balance, ensuring average and worst-case time complexity of O(log n). + */ + + + /** + * The `perfectlyBalance` function takes a binary tree, performs a depth-first search to sort the nodes, and then + * constructs a balanced binary search tree using either a recursive or iterative approach. + * @returns The function `perfectlyBalance()` returns a boolean value. + */ + perfectlyBalance(): boolean { + const sorted = this.DFS('in', 'node'), n = sorted.length; + this.clear(); + + if (sorted.length < 1) return false; + if (this.loopType === LoopType.RECURSIVE) { + const buildBalanceBST = (l: number, r: number) => { + if (l > r) return; + const m = l + Math.floor((r - l) / 2); + const midNode = sorted[m]; + this.add(midNode.id, midNode.val); + buildBalanceBST(l, m - 1); + buildBalanceBST(m + 1, r); + }; + + buildBalanceBST(0, n - 1); + return true; + } else { + const stack: [[number, number]] = [[0, n - 1]]; + while (stack.length > 0) { + const popped = stack.pop(); + if (popped) { + const [l, r] = popped; + if (l <= r) { + const m = l + Math.floor((r - l) / 2); + const midNode = sorted[m]; + this.add(midNode.id, midNode.val); + stack.push([m + 1, r]); + stack.push([l, m - 1]); + } + } + } + return true; + } + } + + /** + * The function `isAVLBalanced` checks if a binary tree is balanced according to the AVL tree property. + * @returns a boolean value. + */ + isAVLBalanced(): boolean { + if (!this.root) return true; + + let balanced = true; + + if (this.loopType === LoopType.RECURSIVE) { + const _height = (cur: N | null | undefined): number => { + if (!cur) return 0; + const leftHeight = _height(cur.left), rightHeight = _height(cur.right); + if (Math.abs(leftHeight - rightHeight) > 1) balanced = false; + return Math.max(leftHeight, rightHeight) + 1; + }; + _height(this.root); + } else { + const stack: N[] = []; + let node: N | null | undefined = this.root, last: N | null = null; + const depths: Map = new Map(); + + while (stack.length > 0 || node) { + if (node) { + stack.push(node); + node = node.left; + } else { + node = stack[stack.length - 1] + if (!node.right || last === node.right) { + node = stack.pop(); + if (node) { + const left = node.left ? depths.get(node.left) ?? -1 : -1; + const right = node.right ? depths.get(node.right) ?? -1 : -1; + if (Math.abs(left - right) > 1) return false; + depths.set(node, 1 + Math.max(left, right)); + last = node; + node = null; + } + } else node = node.right + } + } + } + + return balanced; + } + + protected _comparator: BSTComparator = (a, b) => a - b; + + /** + * The function compares two binary tree node IDs using a comparator function and returns whether the first ID is + * greater than, less than, or equal to the second ID. + * @param {BinaryTreeNodeId} a - a is a BinaryTreeNodeId, which represents the identifier of a binary tree node. + * @param {BinaryTreeNodeId} b - The parameter "b" in the above code refers to a BinaryTreeNodeId. + * @returns a value of type CP (ComparisonResult). The possible return values are CP.gt (greater than), CP.lt (less + * than), or CP.eq (equal). + */ + protected _compare(a: BinaryTreeNodeId, b: BinaryTreeNodeId): CP { + const compared = this._comparator(a, b); + if (compared > 0) return CP.gt; + else if (compared < 0) return CP.lt; + else return CP.eq; + } + + // --- end additional functions +} \ No newline at end of file diff --git a/src/bst/src/index.ts b/src/bst/src/index.ts new file mode 100644 index 0000000..f17f485 --- /dev/null +++ b/src/bst/src/index.ts @@ -0,0 +1 @@ +export * from './bst'; \ No newline at end of file diff --git a/src/bst/tsconfig.json b/src/bst/tsconfig.json new file mode 100644 index 0000000..2c77480 --- /dev/null +++ b/src/bst/tsconfig.json @@ -0,0 +1,37 @@ +{ + "compilerOptions": { + "declaration": true, + "outDir": "./dist", + "module": "commonjs", + "target": "es5", + "lib": [ + "esnext", + ], + "strict": true, + "esModuleInterop": true, + "moduleResolution": "node", + "declarationDir": "./dist", + "skipLibCheck": true, + "downlevelIteration": true, + "experimentalDecorators": true, + // "allowJs": true, + // "allowSyntheticDefaultImports": true, + // "forceConsistentCasingInFileNames": true, + // "noFallthroughCasesInSwitch": true, + // "resolveJsonModule": true, + // "isolatedModules": true, + // "noEmit": true, + "typeRoots": [ + "node_modules/@types" + ] + }, + + "include": [ + "src", + ], + "exclude": [ +// "node_modules/data-structure-typed", + "node_modules", + "dist" + ] +} \ No newline at end of file diff --git a/src/bst/yarn.lock b/src/bst/yarn.lock new file mode 100644 index 0000000..ae69140 --- /dev/null +++ b/src/bst/yarn.lock @@ -0,0 +1,2611 @@ +# THIS IS AN AUTOGENERATED FILE. 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