From b9c0fe1be9feaddb58c4e415b34947d70697f375 Mon Sep 17 00:00:00 2001 From: Ilya Medvedev Date: Thu, 26 Jan 2023 13:23:28 +0300 Subject: [PATCH] feat: sierpinski carpet + new demo --- README.md | 63 +++--- benchmark.ts | 26 ++- demo/carpet.gif | Bin 0 -> 116432 bytes demo/demo.gif | Bin 286170 -> 0 bytes demo/index.html | 120 ++++++---- demo/triangle.gif | Bin 0 -> 67222 bytes src/__test__/carpet.test.ts | 57 +++++ src/__test__/triangle.test.ts | 399 +++++----------------------------- src/carpet.ts | 66 ++++++ src/index.ts | 1 + src/triangle.ts | 22 +- src/types.ts | 5 + src/validate.ts | 18 ++ 13 files changed, 333 insertions(+), 444 deletions(-) create mode 100644 demo/carpet.gif delete mode 100644 demo/demo.gif create mode 100644 demo/triangle.gif create mode 100644 src/__test__/carpet.test.ts create mode 100644 src/carpet.ts create mode 100644 src/validate.ts diff --git a/README.md b/README.md index 07647ea..870d5f3 100644 --- a/README.md +++ b/README.md @@ -2,25 +2,19 @@ [Sierpiński triangle](https://en.wikipedia.org/wiki/Sierpi%C5%84ski_triangle) dataset generator. +See interactive svg-generator [demo](https://iam-medvedev.github.io/sierpinski-generator/). + ## Install ```sh yarn add sierpinski-generator ``` -## Demo - -See interactive svg-generator [demo](https://iam-medvedev.github.io/sierpinski-generator/). - -Or run it locally: +## Triangle generator -```sh -yarn demo -``` + - - -## Usage +Usage: ```ts import { createSierpinskiTriangle } from 'sierpinski-generator'; @@ -32,33 +26,48 @@ const result = createSierpinskiTriangle({ // [ // { -// box: { width: 1000, height: 1000, x: 0, y: 0 }, +// box: { width: 62.5, height: 62.5, x: 0, y: 0 }, // points: [ -// { x: 500, y: 0 }, -// { x: 0, y: 1000 }, -// { x: 1000, y: 1000 }, +// { x: 0, y: 0 }, +// { x: 62.5, y: 0 }, +// { x: 31.25, y: 62.5 }, // ], // }, // { -// box: { width: 500, height: 500, x: 250, y: 500 }, +// box: { width: 62.5, height: 62.5, x: 62.5, y: 0 }, // points: [ -// { x: 250, y: 500 }, -// { x: 750, y: 500 }, -// { x: 500, y: 1000 }, -// ], -// }, -// { -// box: { width: 250, height: 250, x: 375, y: 250 }, -// points: [ -// { x: 375, y: 250 }, -// { x: 625, y: 250 }, -// { x: 500, y: 500 }, +// { x: 62.5, y: 0 }, +// { x: 125, y: 0 }, +// { x: 93.75, y: 62.5 }, // ], // }, // ... // ]; ``` +## Carpet generator + + + +Usage: + +```ts +import { createSierpinskiCarpet } from 'sierpinski-generator'; + +const result = createSierpinskiCarpet({ + size: 1000, + iterations: 4, +}); + +// +``` + +## Local demo + +```sh +yarn demo +``` + ## License `sierpinski-generator` is [WTFPL licensed](./LICENSE). diff --git a/benchmark.ts b/benchmark.ts index 3686896..e2a1031 100644 --- a/benchmark.ts +++ b/benchmark.ts @@ -1,13 +1,27 @@ import b from 'benny'; -import { createSierpinskiTriangle } from './src/triangle'; +import { createSierpinskiTriangle, createSierpinskiCarpet } from './src/'; b.suite( - 'Iterations', + 'Triangle', - b.add('1', () => createSierpinskiTriangle({ size: 1000, depth: 1 })), - b.add('2', () => createSierpinskiTriangle({ size: 1000, depth: 2 })), - b.add('3', () => createSierpinskiTriangle({ size: 1000, depth: 3 })), - b.add('4', () => createSierpinskiTriangle({ size: 1000, depth: 4 })), + b.add('Depth: 1', () => createSierpinskiTriangle({ size: 1000, depth: 1 })), + b.add('Depth: 2', () => createSierpinskiTriangle({ size: 1000, depth: 2 })), + b.add('Depth: 3', () => createSierpinskiTriangle({ size: 1000, depth: 3 })), + b.add('Depth: 4', () => createSierpinskiTriangle({ size: 1000, depth: 4 })), + + b.cycle(), + b.complete(), + + b.save({ file: 'result', folder: '.bench', format: 'chart.html' }), +); + +b.suite( + 'Carpet', + + b.add('Depth: 1', () => createSierpinskiCarpet({ size: 1000, depth: 1 })), + b.add('Depth: 2', () => createSierpinskiCarpet({ size: 1000, depth: 2 })), + b.add('Depth: 3', () => createSierpinskiCarpet({ size: 1000, depth: 3 })), + b.add('Depth: 4', () => createSierpinskiCarpet({ size: 1000, depth: 4 })), 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{ display: flex; justify-content: center; } - #config { - position: fixed; - top: 16px; - left: 16px; + svg { + width: 100vh; + height: 100vh; } - #config input { - height: 40px; - width: 100px; + aside { + position: fixed; + top: 0; + left: 0; + padding: 20px; + border-radius: 8px; + background: #eee; + z-index: 1; } a { color: black; } + + a:hover { + opacity: 0.6; + } @@ -41,37 +44,36 @@ -

- -
-
- Triangles: 1 +
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zqvehpP=%5mP{l7Kh|t8__Yk@)^xe=teEj^&f?i1pk0o68?{{%?(Kj@3aB>U?^cNCE zBxMZnJ$xhpPz&HgInKtx&cebduCNW*&Cbcmz_|t@4loK#1e62j2xtxs1*io+0z-j} zz;2)<;2XFJfCkP2B?*8CKnJQ4pc4X$0PfIDfL*{S;278qFa>G@WC5u_YT!H2pMb3Z zWx(rSV%-1IKl~e2^)L6v{4c4hAg1xLiR+FM%&RzW+_`JTNln3Z@4>v0C=n$o4Ik~p z#h2Q2YXn%=60z8b5lOyUYU7jU3E?G+UPXWYJW;=-EipCetIa3PpW_clrekpXuzo~v zBA1%wP?8FwA)#MKZvV9Q?-y0oQ1)F_{k#|I-!$xhU$93riCSN7{*MZFnR`U%4n3&} zJ<{~z-tQi3{DrDgI`ZQAvZ_jarMSHI&se)~`LTws0lOmce{g{L*MdFj=hqrSrT@HP a|9e&S^J5LDDz|fw{$0U7LQYJi_ { + const size = 1000; + + expect( + createSierpinskiCarpet({ + size, + depth: 0, + }).length, + ).toEqual(1); + + expect( + createSierpinskiCarpet({ + size, + depth: 1, + }).length, + ).toEqual(8); + + expect( + createSierpinskiCarpet({ + size, + depth: 2, + }).length, + ).toEqual(64); + + expect( + createSierpinskiCarpet({ + size, + depth: 3, + }).length, + ).toEqual(512); + + expect( + createSierpinskiCarpet({ + size, + depth: 4, + }).length, + ).toEqual(4096); + + expect( + createSierpinskiCarpet({ + size, + depth: 1, + }), + ).toEqual([ + { width: 333.3333333333333, height: 333.3333333333333, x: 0, y: 0 }, + { width: 333.3333333333333, height: 333.3333333333333, x: 0, y: 333.3333333333333 }, + { width: 333.3333333333333, height: 333.3333333333333, x: 0, y: 666.6666666666666 }, + { width: 333.3333333333333, height: 333.3333333333333, x: 333.3333333333333, y: 0 }, + { width: 333.3333333333333, height: 333.3333333333333, x: 333.3333333333333, y: 666.6666666666666 }, + { width: 333.3333333333333, height: 333.3333333333333, x: 666.6666666666666, y: 0 }, + { width: 333.3333333333333, height: 333.3333333333333, x: 666.6666666666666, y: 333.3333333333333 }, + { width: 333.3333333333333, height: 333.3333333333333, x: 666.6666666666666, y: 666.6666666666666 }, + ]); +}); diff --git a/src/__test__/triangle.test.ts b/src/__test__/triangle.test.ts index 3946d32..6f35624 100644 --- a/src/__test__/triangle.test.ts +++ b/src/__test__/triangle.test.ts @@ -1,372 +1,73 @@ -import { expect, it } from "vitest"; -import { createSierpinskiTriangle } from "../triangle"; +import { expect, it } from 'vitest'; +import { createSierpinskiTriangle } from '../triangle'; -const results = [ - { - box: { width: 1000, height: 1000, x: 0, y: 0 }, - points: [ - { x: 500, y: 0 }, - { x: 0, y: 1000 }, - { x: 1000, y: 1000 }, - ], - }, - { - box: { width: 500, height: 500, x: 250, y: 500 }, - points: [ - { x: 250, y: 500 }, - { x: 750, y: 500 }, - { x: 500, y: 1000 }, - ], - }, - { - box: { width: 250, height: 250, x: 375, y: 250 }, - points: [ - { x: 375, y: 250 }, - { x: 625, y: 250 }, - { x: 500, y: 500 }, - ], - }, - { - box: { width: 250, height: 250, x: 125, y: 750 }, - points: [ - { x: 125, y: 750 }, - { x: 375, y: 750 }, - { x: 250, y: 1000 }, - ], - }, - { - box: { width: 250, height: 250, x: 625, y: 750 }, - points: [ - { x: 625, y: 750 }, - { x: 875, y: 750 }, - { x: 750, y: 1000 }, - ], - }, - { - box: { width: 125, height: 125, x: 437.5, y: 125 }, - points: [ - { x: 437.5, y: 125 }, - { x: 562.5, y: 125 }, - { x: 500, y: 250 }, - ], - }, - { - box: { width: 125, height: 125, x: 312.5, y: 375 }, - points: [ - { x: 312.5, y: 375 }, - { x: 437.5, y: 375 }, - { x: 375, y: 500 }, - ], - }, - { - box: { width: 125, height: 125, x: 562.5, y: 375 }, - points: [ - { x: 562.5, y: 375 }, - { x: 687.5, y: 375 }, - { x: 625, y: 500 }, - ], - }, - { - box: { width: 125, height: 125, x: 187.5, y: 625 }, - points: [ - { x: 187.5, y: 625 }, - { x: 312.5, y: 625 }, - { x: 250, y: 750 }, - ], - }, - { - box: { width: 125, height: 125, x: 62.5, y: 875 }, - points: [ - { x: 62.5, y: 875 }, - { x: 187.5, y: 875 }, - { x: 125, y: 1000 }, - ], - }, - { - box: { width: 125, height: 125, x: 312.5, y: 875 }, - points: [ - { x: 312.5, y: 875 }, - { x: 437.5, y: 875 }, - { x: 375, y: 1000 }, - ], - }, - { - box: { width: 125, height: 125, x: 687.5, y: 625 }, - points: [ - { x: 687.5, y: 625 }, - { x: 812.5, y: 625 }, - { x: 750, y: 750 }, - ], - }, - { - box: { width: 125, height: 125, x: 562.5, y: 875 }, - points: [ - { x: 562.5, y: 875 }, - { x: 687.5, y: 875 }, - { x: 625, y: 1000 }, - ], - }, - { - box: { width: 125, height: 125, x: 812.5, y: 875 }, - points: [ - { x: 812.5, y: 875 }, - { x: 937.5, y: 875 }, - { x: 875, y: 1000 }, - ], - }, - { - box: { width: 62.5, height: 62.5, x: 468.75, y: 62.5 }, - points: [ - { x: 468.75, y: 62.5 }, - { x: 531.25, y: 62.5 }, - { x: 500, y: 125 }, - ], - }, - { - box: { width: 62.5, height: 62.5, x: 406.25, y: 187.5 }, - points: [ - { x: 406.25, y: 187.5 }, - { x: 468.75, y: 187.5 }, - { x: 437.5, y: 250 }, - ], - }, - { - box: { width: 62.5, height: 62.5, x: 531.25, y: 187.5 }, - points: [ - { x: 531.25, y: 187.5 }, - { x: 593.75, y: 187.5 }, - { x: 562.5, y: 250 }, - ], - }, - { - box: { width: 62.5, height: 62.5, x: 343.75, y: 312.5 }, - points: [ - { x: 343.75, y: 312.5 }, - { x: 406.25, y: 312.5 }, - { x: 375, y: 375 }, - ], - }, - { - box: { width: 62.5, height: 62.5, x: 281.25, y: 437.5 }, - points: [ - { x: 281.25, y: 437.5 }, - { x: 343.75, y: 437.5 }, - { x: 312.5, y: 500 }, - ], - }, - { - box: { width: 62.5, height: 62.5, x: 406.25, y: 437.5 }, - points: [ - { x: 406.25, y: 437.5 }, - { x: 468.75, y: 437.5 }, - { x: 437.5, y: 500 }, - ], - }, - { - box: { width: 62.5, height: 62.5, x: 593.75, y: 312.5 }, - points: [ - { x: 593.75, y: 312.5 }, - { x: 656.25, y: 312.5 }, - { x: 625, y: 375 }, - ], - }, - { - box: { width: 62.5, height: 62.5, x: 531.25, y: 437.5 }, - points: [ - { x: 531.25, y: 437.5 }, - { x: 593.75, y: 437.5 }, - { x: 562.5, y: 500 }, - ], - }, - { - box: { width: 62.5, height: 62.5, x: 656.25, y: 437.5 }, - points: [ - { x: 656.25, y: 437.5 }, - { x: 718.75, y: 437.5 }, - { x: 687.5, y: 500 }, - ], - }, - { - box: { width: 62.5, height: 62.5, x: 218.75, y: 562.5 }, - points: [ - { x: 218.75, y: 562.5 }, - { x: 281.25, y: 562.5 }, - { x: 250, y: 625 }, - ], - }, - { - box: { width: 62.5, height: 62.5, x: 156.25, y: 687.5 }, - points: [ - { x: 156.25, y: 687.5 }, - { x: 218.75, y: 687.5 }, - { x: 187.5, y: 750 }, - ], - }, - { - box: { width: 62.5, height: 62.5, x: 281.25, y: 687.5 }, - points: [ - { x: 281.25, y: 687.5 }, - { x: 343.75, y: 687.5 }, - { x: 312.5, y: 750 }, - ], - }, - { - box: { width: 62.5, height: 62.5, x: 93.75, y: 812.5 }, - points: [ - { x: 93.75, y: 812.5 }, - { x: 156.25, y: 812.5 }, - { x: 125, y: 875 }, - ], - }, - { - box: { width: 62.5, height: 62.5, x: 31.25, y: 937.5 }, - points: [ - { x: 31.25, y: 937.5 }, - { x: 93.75, y: 937.5 }, - { x: 62.5, y: 1000 }, - ], - }, - { - box: { width: 62.5, height: 62.5, x: 156.25, y: 937.5 }, - points: [ - { x: 156.25, y: 937.5 }, - { x: 218.75, y: 937.5 }, - { x: 187.5, y: 1000 }, - ], - }, - { - box: { width: 62.5, height: 62.5, x: 343.75, y: 812.5 }, - points: [ - { x: 343.75, y: 812.5 }, - { x: 406.25, y: 812.5 }, - { x: 375, y: 875 }, - ], - }, - { - box: { width: 62.5, height: 62.5, x: 281.25, y: 937.5 }, - points: [ - { x: 281.25, y: 937.5 }, - { x: 343.75, y: 937.5 }, - { x: 312.5, y: 1000 }, - ], - }, - { - box: { width: 62.5, height: 62.5, x: 406.25, y: 937.5 }, - points: [ - { x: 406.25, y: 937.5 }, - { x: 468.75, y: 937.5 }, - { x: 437.5, y: 1000 }, - ], - }, - { - box: { width: 62.5, height: 62.5, x: 718.75, y: 562.5 }, - points: [ - { x: 718.75, y: 562.5 }, - { x: 781.25, y: 562.5 }, - { x: 750, y: 625 }, - ], - }, - { - box: { width: 62.5, height: 62.5, x: 656.25, y: 687.5 }, - points: [ - { x: 656.25, y: 687.5 }, - { x: 718.75, y: 687.5 }, - { x: 687.5, y: 750 }, - ], - }, - { - box: { width: 62.5, height: 62.5, x: 781.25, y: 687.5 }, - points: [ - { x: 781.25, y: 687.5 }, - { x: 843.75, y: 687.5 }, - { x: 812.5, y: 750 }, - ], - }, - { - box: { width: 62.5, height: 62.5, x: 593.75, y: 812.5 }, - points: [ - { x: 593.75, y: 812.5 }, - { x: 656.25, y: 812.5 }, - { x: 625, y: 875 }, - ], - }, - { - box: { width: 62.5, height: 62.5, x: 531.25, y: 937.5 }, - points: [ - { x: 531.25, y: 937.5 }, - { x: 593.75, y: 937.5 }, - { x: 562.5, y: 1000 }, - ], - }, - { - box: { width: 62.5, height: 62.5, x: 656.25, y: 937.5 }, - points: [ - { x: 656.25, y: 937.5 }, - { x: 718.75, y: 937.5 }, - { x: 687.5, y: 1000 }, - ], - }, - { - box: { width: 62.5, height: 62.5, x: 843.75, y: 812.5 }, - points: [ - { x: 843.75, y: 812.5 }, - { x: 906.25, y: 812.5 }, - { x: 875, y: 875 }, - ], - }, - { - box: { width: 62.5, height: 62.5, x: 781.25, y: 937.5 }, - points: [ - { x: 781.25, y: 937.5 }, - { x: 843.75, y: 937.5 }, - { x: 812.5, y: 1000 }, - ], - }, - { - box: { width: 62.5, height: 62.5, x: 906.25, y: 937.5 }, - points: [ - { x: 906.25, y: 937.5 }, - { x: 968.75, y: 937.5 }, - { x: 937.5, y: 1000 }, - ], - }, -]; - -it("correctly creates sierpinski triangle", () => { +it('correctly creates sierpinski triangle', () => { const size = 1000; expect( createSierpinskiTriangle({ size, - iterations: 0, - }) - ).toEqual(results.slice(0, 1)); + depth: 0, + }).length, + ).toEqual(1); + + expect( + createSierpinskiTriangle({ + size, + depth: 1, + }).length, + ).toEqual(3); expect( createSierpinskiTriangle({ size, - iterations: 1, - }) - ).toEqual(results.slice(0, 2)); + depth: 2, + }).length, + ).toEqual(9); expect( createSierpinskiTriangle({ size, - iterations: 2, - }) - ).toEqual(results.slice(0, 2 + 3)); + depth: 3, + }).length, + ).toEqual(27); expect( createSierpinskiTriangle({ size, - iterations: 3, - }) - ).toEqual(results.slice(0, 2 + 3 + 9)); + depth: 4, + }).length, + ).toEqual(81); expect( createSierpinskiTriangle({ size, - iterations: 4, - }) - ).toEqual(results.slice(0, 2 + 3 + 9 + 27)); + depth: 1, + }), + ).toEqual([ + { + box: { width: 500, height: 500, x: 0, y: 0 }, + points: [ + { x: 0, y: 0 }, + { x: 500, y: 0 }, + { x: 250, y: 500 }, + ], + }, + { + box: { width: 500, height: 500, x: 500, y: 0 }, + points: [ + { x: 500, y: 0 }, + { x: 1000, y: 0 }, + { x: 750, y: 500 }, + ], + }, + { + box: { width: 500, height: 500, x: 250, y: 500 }, + points: [ + { x: 250, y: 500 }, + { x: 750, y: 500 }, + { x: 500, y: 1000 }, + ], + }, + ]); }); diff --git a/src/carpet.ts b/src/carpet.ts new file mode 100644 index 0000000..1964a67 --- /dev/null +++ b/src/carpet.ts @@ -0,0 +1,66 @@ +import type { Box, Point } from './types'; +import { validateOptions } from './validate'; + +type CreateOptions = { + size: number; + depth: number; +}; + +/** + * Creates array with Sierpiński carpet data + * + * https://en.wikipedia.org/wiki/Sierpi%C5%84ski_carpet + * + * Example: + * ```ts + * const result = createSierpinskiCarpet({ + * size: 400, + * depth: 4 + * }) + * ``` + */ +export function createSierpinskiCarpet(options: CreateOptions): Box[] { + validateOptions(options); + + const boxes: Box[] = []; + + /** + * Creates boxes in loop + */ + function create({ depth, size, x, y }: CreateOptions & Point) { + // Break on last iteration + if (depth === 0) { + boxes.push({ width: size, height: size, x, y }); + return; + } + + const subSize = size / 3; + + // Loop via matrix + for (let i = 0; i < 3; i++) { + for (let j = 0; j < 3; j++) { + if (i === 1 && j === 1) { + continue; + } + + // Create next box + create({ + size: subSize, + depth: depth - 1, + x: x + i * subSize, + y: y + j * subSize, + }); + } + } + } + + // Create first box + create({ + size: options.size, + depth: options.depth, + x: 0, + y: 0, + }); + + return boxes; +} diff --git a/src/index.ts b/src/index.ts index 091e42c..d516bbb 100644 --- a/src/index.ts +++ b/src/index.ts @@ -1 +1,2 @@ export * from './triangle'; +export * from './carpet'; diff --git a/src/triangle.ts b/src/triangle.ts index ab90226..6501ec8 100644 --- a/src/triangle.ts +++ b/src/triangle.ts @@ -1,9 +1,5 @@ -import type { Triangle } from './types'; - -type CreateOptions = { - size: number; - depth: number; -}; +import type { CreateOptions, Triangle } from './types'; +import { validateOptions } from './validate'; type LoopOptions = { x: number; @@ -26,19 +22,9 @@ type LoopOptions = { * ``` */ export function createSierpinskiTriangle(options: CreateOptions): Triangle[] { - const triangles: Triangle[] = []; + validateOptions(options); - if (typeof options !== 'object') { - throw new Error('[createSierpinskiTriangle] Please provide `options`'); - } - - if (typeof options.depth !== 'number') { - throw new Error('[createSierpinskiTriangle] Please provide `depth`'); - } - - if (typeof options.size !== 'number') { - throw new Error('[createSierpinskiTriangle] Please provide `size`'); - } + const triangles: Triangle[] = []; /** * Creates triangles in loop diff --git a/src/types.ts b/src/types.ts index c25a39a..d6d28d4 100644 --- a/src/types.ts +++ b/src/types.ts @@ -14,3 +14,8 @@ export type Triangle = { box: Box; points: [Point, Point, Point]; }; + +export type CreateOptions = { + size: number; + depth: number; +}; diff --git a/src/validate.ts b/src/validate.ts new file mode 100644 index 0000000..e612ac2 --- /dev/null +++ b/src/validate.ts @@ -0,0 +1,18 @@ +import type { CreateOptions } from './types'; + +/** + * Options validator + */ +export function validateOptions(options: CreateOptions) { + if (typeof options !== 'object') { + throw new Error('[createSierpinskiTriangle] Please provide `options`'); + } + + if (typeof options.depth !== 'number') { + throw new Error('[createSierpinskiTriangle] Please provide `depth`'); + } + + if (typeof options.size !== 'number') { + throw new Error('[createSierpinskiTriangle] Please provide `size`'); + } +}