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"resolved": "https://registry.npmjs.org/y18n/-/y18n-4.0.0.tgz" + }, + "yallist": { + "version": "3.1.1", + "resolved": "https://registry.npmjs.org/yallist/-/yallist-3.1.1.tgz" + }, + "yargs": { + "version": "15.3.1", + "resolved": "https://registry.npmjs.org/yargs/-/yargs-15.3.1.tgz", + "requires": { + "cliui": "^6.0.0", + "decamelize": "^1.2.0", + "find-up": "^4.1.0", + "get-caller-file": "^2.0.1", + "require-directory": "^2.1.1", + "require-main-filename": "^2.0.0", + "set-blocking": "^2.0.0", + "string-width": "^4.2.0", + "which-module": "^2.0.0", + "y18n": "^4.0.0", + "yargs-parser": "^18.1.1" + } + }, + "yargs-parser": { + "version": "18.1.3", + "resolved": "https://registry.npmjs.org/yargs-parser/-/yargs-parser-18.1.3.tgz", + "requires": { + "camelcase": "^5.0.0", + "decamelize": "^1.2.0" + } + } + } +} diff --git a/package.json b/package.json new file mode 100644 index 0000000..b958004 --- /dev/null +++ b/package.json @@ -0,0 +1,15 @@ +{ + "name": "noise", + "version": "1.0.0", + "main": "index.js", + "license": "MIT", + "dependencies": { + "canvas": "^2.8.0", + "chalk": "^4.0.0", + "color": "^3.1.3", + "fast-simplex-noise": "^3.2.1", + "seedrandom": "^3.0.5", + "signale": "^1.4.0", + "simplex-noise": "^2.4.0" + } +} diff --git a/src/Image.js b/src/Image.js new file mode 100644 index 0000000..a2aec14 --- /dev/null +++ b/src/Image.js @@ -0,0 +1,69 @@ + + +class Image { + constructor(width, height) { + this._width = width; + this._height = height; + this._buffer = new Array(height); + for(let i = 0; i < height; i ++) { + this._buffer[i] = new Array(width).fill(null); + } + } + + get width() { + return this._width; + } + + get height() { + return this._height; + } + + // render(x, y) { + // // console.log(this._buffer[0][10] == this._buffer[10][10]); + // // process.stdout.cursorTo(0, 0); + // process.stdout.cursorTo(x, y); + // let buffer = ''; + // for(let dy = 0; dy < this.height; dy ++) { + // for(let dx = 0; dx < this.width; dx ++) { + // buffer += this._buffer[dy][dx]; + // } + // buffer += '\n'; + // } + // process.stdout.write(buffer.trim()); + + // } + + addLayer(image, originX, originY) { + for(let y = originY; y < image.height; y ++) { + const previousLine = this._buffer[y] + const left = previousLine.substr(0, originX); + const right = previousLine.substr(originX + image.width); + const newLine = left + image.getRow(y - originY) + right; + } + } + + set(x, y, char) { + this._buffer[y][x] = char; + // console.log(y, x, char); + } + + get(x, y) { + + } +} + +class BlankImage extends Image { + constructor(width, height, char) { + super(width, height); + this.char = char + } + + get() { + return this.char; + } +} + +module.exports = { + Image, + BlankImage +}; diff --git a/src/characterMapping.js b/src/characterMapping.js new file mode 100644 index 0000000..7fb2d9f --- /dev/null +++ b/src/characterMapping.js @@ -0,0 +1,40 @@ +const width = process.stdout.getWindowSize()[0]; + +module.exports.fromBuckets = fromBuckets; +function fromBuckets(buckets) { + return function(num) { + let char; + for(const [min, character] of buckets) { + if(num > min) char = character; + } + return char; + } +} + +module.exports.fromDistribution = fromDistribution; +function fromDistribution(min, max, chars) { + const n = chars.length; + + const bucketMins = chars.map((_, i) => { + if(i === 0) return -Infinity + return ((i / n) * (max - min)) + min + }); + + const buckets = bucketMins.map((v, i) => { + return [v, chars[i]] + }); + + const mapping = fromBuckets(buckets); + return mapping; +} + +module.exports.printMapping = printMapping; +function printMapping(mapping, min, max) { + let buffer = ''; + for(let i = 0; i < width; i ++) { + const val = ((i / width) * (max - min)) + min; + buffer += mapping(val); + } + console.log(buffer) + console.log(buffer) +} \ No newline at end of file diff --git a/src/generators.js b/src/generators.js new file mode 100644 index 0000000..1a7ad27 --- /dev/null +++ b/src/generators.js @@ -0,0 +1,171 @@ +const FastSimplexNoise = require('./noise').default +const seedrandom = require('seedrandom'); +const noiseGen2 = new FastSimplexNoise({ + frequency: 1, + max: 1, + min: -1, + octaves: 1 +}); +const noiseGen3 = new FastSimplexNoise({ + frequency: 0.1, + max: 1, + min: 0, + octaves: 4 +}); +const noiseGen4 = new FastSimplexNoise({ + frequency: 1, + max: 1, + min: -1, + octaves: 1 +}); +const poleHeight = 1.3; +const timeStart = Date.now(); +function dTime() { + return (Date.now() - timeStart) / 10000 +} + +module.exports.terrainGen = function terrainGen(x, y) { + if(Math.sqrt((x / 2)**2 + y**2) > 2) return null; + + const mapHeight = noiseGen.scaled([ x, y ]); + //fragmentation, start at .3 ish + const fragmentation = noiseGen.scaled([126734, 345678]) * 3 + const size = noiseGen.scaled([3670, 35]) ** 2 * 2; + const distance = (Math.sqrt((x / 2)**2 + y**2)); + + const continentBase = Math.atan((size - distance)/fragmentation); + + const lowFNoise = noiseGen3.scaled([x, y]); + // return + return (continentBase * lowFNoise) + mapHeight; + // return mapHeight; +} + +module.exports.testGen = function testGen(x, y) { + if(Math.sqrt((x / 2)**2 + y**2) > 2) return null; + + const topPadding = .8; + const gradientTension = 1/2; + const baselineOffset = dTime(); + const baselineAmplitude = 0.3; + const baseline = (Math.sin(((x + baselineOffset) / 4) * Math.PI) * baselineAmplitude); + const baseGradient = (1-((Math.abs((y + baseline) * topPadding) / 2) ** gradientTension)) * 100; + + const kRandom = 20; + const randomTension = 1; + const randomness1 = noiseGen2.scaled([ x + dTime(), y ]) ** randomTension * kRandom; + const randomness2 = noiseGen4.scaled([ x - dTime(), y ]) ** randomTension * kRandom; + const animRandom = (randomness1 * randomness2) / kRandom; + + return baseGradient + animRandom; + // return mapHeight; +} + + +const masterng = seedrandom('terra'); +const rngs = [ + seedrandom(Math.floor(masterng() * 100000)), + seedrandom(Math.floor(masterng() * 100000)), + seedrandom(Math.floor(masterng() * 100000)), + seedrandom(Math.floor(masterng() * 100000)), +]; +const plateGen = new FastSimplexNoise({ + frequency: .003, + max: 1, + min: 0, + octaves: 10, + random: rngs[0] +}); +const riverGen = new FastSimplexNoise({ + frequency: .01, + max: 1, + min: 0, + octaves: 40, + random: rngs[1] +}); +const basinGen = new FastSimplexNoise({ + frequency: .01, + max: 1, + min: 0, + octaves: 8, + random: rngs[1] +}); +const terrainGen = new FastSimplexNoise({ + frequency: .1, + max: 1, + min: 0, + octaves: 3, + random: rngs[2] +}); +module.exports.biomes = function biomes(x, y) { + x += dTime() * 10; + const plate = Math.E ** (-1 * ((20 * (plateGen.scaled([x/2, y + 100]) - 0.5)) ** 2)); + const basin = 1 - (Math.atan((basinGen.scaled([x/2, y]) - 0.5) * 32) + (Math.PI / 2)) / Math.PI + const terrain = terrainGen.scaled([x/2, y + 100]); + + return (( + basin + + (plate * (basin ** (1/7))) + + terrain + ) / 3) * 8; + return terrain * 8 +} +module.exports.plates = function plates(x, y) { + const input = plateGen.scaled([x, y]); + const shelfPoint = 0.5; + const shelfHigh = 0.5; + const shelfLow = 0.05; + const ridgeHeight = 0.1; + const ridgeEnd = 0.1; + const output = map(input, + [0, ridgeHeight], + [ridgeEnd, 0], + [shelfPoint, shelfLow], + [shelfPoint, shelfHigh], + [1, 1] + ); + + // const output = map2(x / 1000, .4, .6, 0, 1); + + return Math.round(output * 255); +} + +module.exports.rivers = function(x, y) { + // const plate = Math.E ** (-1 * ((7 * riverGen.scaled([x, y])) ** 2)); + const input = riverGen.scaled([x, y]); + const midpoint = 0.5 + const widthConstant = 0.05 + const output = input < midpoint - widthConstant ? 0 + : input < midpoint ? (input - (midpoint - widthConstant)) / widthConstant + : input < midpoint + widthConstant ? 1 - (input - midpoint) / widthConstant + : 0 + return Math.round(output * 255); +} + +function map(number, ...points) { + let previousY = points[0][0]; + let previousX = points[0][1]; + for(const [x, y] of points) { + if(number <= x) { + // console.log( + // 'mapping', + // number.toFixed(2), + // 'from range', + // previousX.toFixed(2), '-', x.toFixed(2), + // 'to', + // previousY.toFixed(2), '-', y.toFixed(2) + // ); + return number = map2(number, previousX, x, previousY, y); + } + previousY = y; + previousX = x; + } + return number; +} + +function map2(num, inMin, inMax, outMin, outMax) { + return (num - inMin) * (outMax - outMin) / (inMax - inMin) + outMin; +} + +// for(let input = 0; input < 1; input += 0.05) +// console.log(input, map(input, [0, 0], [0.9, 1], [1, 1])) \ No newline at end of file diff --git a/src/index.js b/src/index.js new file mode 100644 index 0000000..8e7c039 --- /dev/null +++ b/src/index.js @@ -0,0 +1,229 @@ +console.log('booting generators...'); +const width = process.stdout.getWindowSize()[0]; +const height = process.stdout.getWindowSize()[1]; +const chalk = require('chalk'); +const characterMapping = require('./characterMapping'); +const gen = require('./generators'); +// process.stdout.write('\x1b[?25l'); +const { Image, BlankImage } = require('./Image'); +const {Canvas} = require('canvas'); +const w = 800, h = w / 2; +const canvas = new Canvas(w, h); +const ctx = canvas.getContext('2d'); +ctx.fillStyle = 'magenta'; +ctx.fillRect(0, 0, w, h); +const { createWriteStream } = require('fs'); +const { EventEmitter } = require('stream'); + +function lerp(min, max, val) { + return val*(max-min) + min; +} + +const terrainMap = characterMapping.fromBuckets([ + [Number.NEGATIVE_INFINITY, chalk.bgBlue.cyan('~')], + [lerp(0, 1, 0.30), chalk.bgBlue.cyan(' ')], + [lerp(0, 1, 0.35), chalk.bgYellow(' ')], + [lerp(0, 1, 0.40), chalk.bgGreen.greenBright(' ')], + [lerp(0, 1, 0.50), chalk.bgGreenBright(' ')], + [lerp(0, 1, 0.65), chalk.bgGreenBright.whiteBright(' ')], + [lerp(0, 1, 0.70), chalk.bgWhiteBright(' ')] +]); + +function rainbowMap(min, max) { + return characterMapping.fromDistribution(min, max, [ + chalk.bgHex('#396FE2')(' '), + chalk.bgHex('#89DDFF')(' '), + chalk.bgHex('#9ECE58')(' '), + chalk.bgHex('#FAED70')(' '), + chalk.bgHex('#FFCB6B')(' '), + chalk.bgHex('#FF8F6E')(' '), + chalk.bgHex('#FF5370')(' '), + chalk.bgHex('#D62341')(' ') + ]); +} + +function numberMap(min, max) { + return characterMapping.fromDistribution(min, max, [ + chalk.bgHex('#396FE2').black('0'), + chalk.bgHex('#89DDFF').black('1'), + chalk.bgHex('#9ECE58').black('2'), + chalk.bgHex('#FAED70').black('3'), + chalk.bgHex('#FFCB6B').black('4'), + chalk.bgHex('#FF8F6E').black('5'), + chalk.bgHex('#FF5370').black('6'), + chalk.bgHex('#D62341').black('7') + ]); +} + +const tempMapAlt = characterMapping.fromDistribution(0, 100, [ + chalk.bgHex('#396FE2')(' '), + chalk.bgHex('#89DDFF')(' '), + chalk.bgHex('#9ECE58')(' '), + chalk.bgHex('#FAED70')(' '), + chalk.bgHex('#FFCB6B')(' '), + chalk.bgHex('#FF5370')(' '), + chalk.bgHex('#D62341')(' ') +]); + + + +// const heightMap = rangeToCharacter([ +// [Number.NEGATIVE_INFINITY, chalk.bgBlue.cyan('~')], +// [lerp(min, max, 0.3), chalk.bgBlue.cyan(' ')], +// [lerp(min, max, 0.35), chalk.bgYellow(' ')], +// [lerp(min, max, 0.4), chalk.bgGreen(' ')], +// [lerp(min, max, 0.45), chalk.bgGreen.greenBright('/')], +// [lerp(min, max, 0.5), chalk.bgGreenBright.green('X')], +// [lerp(min, max, 0.55), chalk.bgGreenBright.green('/')], +// [lerp(min, max, 0.6), chalk.bgGreenBright(' ')], +// [lerp(min, max, 0.65), chalk.bgGreenBright.whiteBright('/')], +// [lerp(min, max, 0.7), chalk.bgWhiteBright(' ')] +// ]) + +let statMin = Number.POSITIVE_INFINITY, statMax = Number.NEGATIVE_INFINITY; + +function draw(generator, charMap) { + + let image = new Image(width, height); + for(let y = 0; y < height; y ++) { + for(let x = 0; x < width; x ++) { + + const mapX = (x - width / 2), mapY = (y - height / 2); + const value2d = generator(mapX, mapY); + + if(value2d == null) image.set(x, y, chalk.reset(' ')); + else image.set(x, y, (charMap(value2d))); + } + } + + image.render(0, 0) + +} + +function imageDraw(generator) { + for(let y = 0; y < h; y ++) { + for(let x = 0; x < w; x ++) { + + const mapX = (x) * (800 / w); + const mapY = ((y) * (800 / w)) + 9283457; + const value2d = generator(mapX, mapY); + + ctx.fillStyle = value2d; + ctx.fillRect(x, y, 1, 1); + } + const progress = (((y + 1) * w)) / (w * h); + process.stdout.write('[' + '='.repeat(progress * (process.stdout.columns - 2)).padEnd(process.stdout.columns - 2, '-') + ']\r'); + } + console.log(); +} + +async function animateZoom(generator, mappingFn) { + for(let i = 0; i < 8; i += 0.2) { + draw(generator, i, mappingFn); + await new Promise(res => setTimeout(res, 0)); + } +} + +async function animate(generator, zoom, mappingFn) { + while(true) { + draw(generator, zoom, mappingFn); + await new Promise(res => setTimeout(res, 0)); + } +} + +// animate(terrainGen, 2, terrainbowMap) +// animate(terrainGen, 2, terrainMap) +// animate(testGen, 2, rainbowMap(-20, 20)) + + +// console.log('statMin', statMin); +// console.log('statMax', statMax); + + + +// draw((x, y) => { +// return gen.plates(x, y) - (gen.rivers(x, y)) +// }, numberMap(-1, 1)); +// draw(gen.rivers, numberMap(-1, 1)); +// draw(gen.plates, numberMap(-1, 1)); + + + +class World { + voxels = null; + events = new EventEmitter(); + w; + h; + emitCounter = 0; + + constructor(w, h) { + this.w = w; + this.h = h; + this.voxels = []; + setTimeout(() => { + this.events.emit('task', 'initial formation'); + for(x = 0; x < w; x ++) { + voxels[x] = []; + for(y = 0; y < h; y ++) { + voxels[x][y] = []; + + } + } + }, 0) + } + + emitTask(name) { + + } + + emitProgress(total, current) { + if((this.emitCounter % 100) === 0) { + this.events.emit('progress', (current + 1) / total); + } + this.emitCounter ++; + } + + getTop(x, y) { + + } + + getVoxel() { + + } + + getHeight(x, y) { + return + } +} + +class Voxel { + +} + +class Magma extends Voxel { + makeup; + + constructor() {} +} + +class Material { + +} + + +// const world = new World(); +// world.events.on('task', (taskName) => { + +// }) + +console.log('generating image'); +imageDraw((x, y) => { + gen.plates(x, y) + const color = '#' + .toString(16).padStart(2, '0').repeat(3); + // console.log(color); + return color; +}); + +console.log('writing image'); +canvas.createPNGStream().pipe(createWriteStream('test.png')); +console.log('done'); \ No newline at end of file diff --git a/src/noise.js b/src/noise.js new file mode 100644 index 0000000..428573c --- /dev/null +++ b/src/noise.js @@ -0,0 +1,444 @@ +"use strict"; +/* + * A speed-improved simplex noise algorithm for 2D, 3D and 4D in JavaScript. + * + * Based on example code by Stefan Gustavson (stegu@itn.liu.se). + * Optimisations by Peter Eastman (peastman@drizzle.stanford.edu). + * Better rank ordering method by Stefan Gustavson in 2012. + * + * This code was placed in the public domain by its original author, + * Stefan Gustavson. You may use it as you see fit, but + * attribution is appreciated. + */ +Object.defineProperty(exports, "__esModule", { value: true }); +var FastSimplexNoise = /** @class */ (function () { + function FastSimplexNoise(options) { + if (options === void 0) { options = {}; } + if (options.hasOwnProperty('amplitude')) { + if (typeof options.amplitude !== 'number') + throw new Error('options.amplitude must be a number'); + this.amplitude = options.amplitude; + } + else + this.amplitude = 1.0; + if (options.hasOwnProperty('frequency')) { + if (typeof options.frequency !== 'number') + throw new Error('options.frequency must be a number'); + this.frequency = options.frequency; + } + else + this.frequency = 1.0; + if (options.hasOwnProperty('octaves')) { + if (typeof options.octaves !== 'number' || + !isFinite(options.octaves) || + Math.floor(options.octaves) !== options.octaves) { + throw new Error('options.octaves must be an integer'); + } + this.octaves = options.octaves; + } + else + this.octaves = 1; + if (options.hasOwnProperty('persistence')) { + if (typeof options.persistence !== 'number') + throw new Error('options.persistence must be a number'); + this.persistence = options.persistence; + } + else + this.persistence = 0.5; + if (options.hasOwnProperty('random')) { + if (typeof options.random !== 'function') + throw new Error('options.random must be a function'); + this.random = options.random; + } + else + this.random = Math.random; + var min; + if (options.hasOwnProperty('min')) { + if (typeof options.min !== 'number') + throw new Error('options.min must be a number'); + min = options.min; + } + else + min = -1; + var max; + if (options.hasOwnProperty('max')) { + if (typeof options.max !== 'number') + throw new Error('options.max must be a number'); + max = options.max; + } + else + max = 1; + if (min >= max) + throw new Error("options.min (" + min + ") must be less than options.max (" + max + ")"); + this.scale = min === -1 && max === 1 + ? function (value) { return value; } + : function (value) { return min + ((value + 1) / 2) * (max - min); }; + var p = new Uint8Array(256); + for (var i = 0; i < 256; i++) + p[i] = i; + var n; + var q; + for (var i = 255; i > 0; i--) { + n = Math.floor((i + 1) * this.random()); + q = p[i]; + p[i] = p[n]; + p[n] = q; + } + this.perm = new Uint8Array(512); + this.permMod12 = new Uint8Array(512); + for (var i = 0; i < 512; i++) { + this.perm[i] = p[i & 255]; + this.permMod12[i] = this.perm[i] % 12; + } + } + FastSimplexNoise.prototype.cylindrical = function (circumference, coords) { + switch (coords.length) { + case 2: return this.cylindrical2D(circumference, coords[0], coords[1]); + case 3: return this.cylindrical3D(circumference, coords[0], coords[1], coords[2]); + default: return null; + } + }; + FastSimplexNoise.prototype.cylindrical2D = function (circumference, x, y) { + var nx = x / circumference; + var r = circumference / (2 * Math.PI); + var rdx = nx * 2 * Math.PI; + var a = r * Math.sin(rdx); + var b = r * Math.cos(rdx); + return this.scaled3D(a, b, y); + }; + FastSimplexNoise.prototype.cylindrical3D = function (circumference, x, y, z) { + var nx = x / circumference; + var r = circumference / (2 * Math.PI); + var rdx = nx * 2 * Math.PI; + var a = r * Math.sin(rdx); + var b = r * Math.cos(rdx); + return this.scaled4D(a, b, y, z); + }; + FastSimplexNoise.prototype.dot = function (gs, coords) { + return gs + .slice(0, Math.min(gs.length, coords.length)) + .reduce(function (total, g, i) { return total + (g * coords[i]); }, 0); + }; + FastSimplexNoise.prototype.raw = function (coords) { + switch (coords.length) { + case 2: return this.raw2D(coords[0], coords[1]); + case 3: return this.raw3D(coords[0], coords[1], coords[2]); + case 4: return this.raw4D(coords[0], coords[1], coords[2], coords[3]); + default: return null; + } + }; + FastSimplexNoise.prototype.raw2D = function (x, y) { + // Skew the input space to determine which simplex cell we're in + var s = (x + y) * 0.5 * (Math.sqrt(3.0) - 1.0); // Hairy factor for 2D + var i = Math.floor(x + s); + var j = Math.floor(y + s); + var t = (i + j) * FastSimplexNoise.G2; + var X0 = i - t; // Unskew the cell origin back to (x,y) space + var Y0 = j - t; + var x0 = x - X0; // The x,y distances from the cell origin + var y0 = y - Y0; + // Determine which simplex we are in. + var i1 = x0 > y0 ? 1 : 0; + var j1 = x0 > y0 ? 0 : 1; + // Offsets for corners + var x1 = x0 - i1 + FastSimplexNoise.G2; + var y1 = y0 - j1 + FastSimplexNoise.G2; + var x2 = x0 - 1.0 + 2.0 * FastSimplexNoise.G2; + var y2 = y0 - 1.0 + 2.0 * FastSimplexNoise.G2; + // Work out the hashed gradient indices of the three simplex corners + var ii = i & 255; + var jj = j & 255; + var gi0 = this.permMod12[ii + this.perm[jj]]; + var gi1 = this.permMod12[ii + i1 + this.perm[jj + j1]]; + var gi2 = this.permMod12[ii + 1 + this.perm[jj + 1]]; + // Calculate the contribution from the three corners + var t0 = 0.5 - x0 * x0 - y0 * y0; + var n0 = t0 < 0 ? 0.0 : Math.pow(t0, 4) * this.dot(FastSimplexNoise.GRAD3D[gi0], [x0, y0]); + var t1 = 0.5 - x1 * x1 - y1 * y1; + var n1 = t1 < 0 ? 0.0 : Math.pow(t1, 4) * this.dot(FastSimplexNoise.GRAD3D[gi1], [x1, y1]); + var t2 = 0.5 - x2 * x2 - y2 * y2; + var n2 = t2 < 0 ? 0.0 : Math.pow(t2, 4) * this.dot(FastSimplexNoise.GRAD3D[gi2], [x2, y2]); + // Add contributions from each corner to get the final noise value. + // The result is scaled to return values in the interval [-1, 1] + return 70.14805770653952 * (n0 + n1 + n2); + }; + FastSimplexNoise.prototype.raw3D = function (x, y, z) { + // Skew the input space to determine which simplex cell we're in + var s = (x + y + z) / 3.0; // Very nice and simple skew factor for 3D + var i = Math.floor(x + s); + var j = Math.floor(y + s); + var k = Math.floor(z + s); + var t = (i + j + k) * FastSimplexNoise.G3; + var X0 = i - t; // Unskew the cell origin back to (x,y,z) space + var Y0 = j - t; + var Z0 = k - t; + var x0 = x - X0; // The x,y,z distances from the cell origin + var y0 = y - Y0; + var z0 = z - Z0; + // Deterine which simplex we are in + var i1, j1, k1; // Offsets for second corner of simplex in (i,j,k) coords + var i2, j2, k2; // Offsets for third corner of simplex in (i,j,k) coords + if (x0 >= y0) { + if (y0 >= z0) { + i1 = i2 = j2 = 1; + j1 = k1 = k2 = 0; + } + else if (x0 >= z0) { + i1 = i2 = k2 = 1; + j1 = k1 = j2 = 0; + } + else { + k1 = i2 = k2 = 1; + i1 = j1 = j2 = 0; + } + } + else { + if (y0 < z0) { + k1 = j2 = k2 = 1; + i1 = j1 = i2 = 0; + } + else if (x0 < z0) { + j1 = j2 = k2 = 1; + i1 = k1 = i2 = 0; + } + else { + j1 = i2 = j2 = 1; + i1 = k1 = k2 = 0; + } + } + var x1 = x0 - i1 + FastSimplexNoise.G3; // Offsets for second corner in (x,y,z) coords + var y1 = y0 - j1 + FastSimplexNoise.G3; + var z1 = z0 - k1 + FastSimplexNoise.G3; + var x2 = x0 - i2 + 2.0 * FastSimplexNoise.G3; // Offsets for third corner in (x,y,z) coords + var y2 = y0 - j2 + 2.0 * FastSimplexNoise.G3; + var z2 = z0 - k2 + 2.0 * FastSimplexNoise.G3; + var x3 = x0 - 1.0 + 3.0 * FastSimplexNoise.G3; // Offsets for last corner in (x,y,z) coords + var y3 = y0 - 1.0 + 3.0 * FastSimplexNoise.G3; + var z3 = z0 - 1.0 + 3.0 * FastSimplexNoise.G3; + // Work out the hashed gradient indices of the four simplex corners + var ii = i & 255; + var jj = j & 255; + var kk = k & 255; + var gi0 = this.permMod12[ii + this.perm[jj + this.perm[kk]]]; + var gi1 = this.permMod12[ii + i1 + this.perm[jj + j1 + this.perm[kk + k1]]]; + var gi2 = this.permMod12[ii + i2 + this.perm[jj + j2 + this.perm[kk + k2]]]; + var gi3 = this.permMod12[ii + 1 + this.perm[jj + 1 + this.perm[kk + 1]]]; + // Calculate the contribution from the four corners + var t0 = 0.5 - x0 * x0 - y0 * y0 - z0 * z0; + var n0 = t0 < 0 ? 0.0 : Math.pow(t0, 4) * this.dot(FastSimplexNoise.GRAD3D[gi0], [x0, y0, z0]); + var t1 = 0.5 - x1 * x1 - y1 * y1 - z1 * z1; + var n1 = t1 < 0 ? 0.0 : Math.pow(t1, 4) * this.dot(FastSimplexNoise.GRAD3D[gi1], [x1, y1, z1]); + var t2 = 0.5 - x2 * x2 - y2 * y2 - z2 * z2; + var n2 = t2 < 0 ? 0.0 : Math.pow(t2, 4) * this.dot(FastSimplexNoise.GRAD3D[gi2], [x2, y2, z2]); + var t3 = 0.5 - x3 * x3 - y3 * y3 - z3 * z3; + var n3 = t3 < 0 ? 0.0 : Math.pow(t3, 4) * this.dot(FastSimplexNoise.GRAD3D[gi3], [x3, y3, z3]); + // Add contributions from each corner to get the final noise value. + // The result is scaled to stay just inside [-1,1] + return 94.68493150681972 * (n0 + n1 + n2 + n3); + }; + FastSimplexNoise.prototype.raw4D = function (x, y, z, w) { + // Skew the (x,y,z,w) space to determine which cell of 24 simplices we're in + var s = (x + y + z + w) * (Math.sqrt(5.0) - 1.0) / 4.0; // Factor for 4D skewing + var i = Math.floor(x + s); + var j = Math.floor(y + s); + var k = Math.floor(z + s); + var l = Math.floor(w + s); + var t = (i + j + k + l) * FastSimplexNoise.G4; // Factor for 4D unskewing + var X0 = i - t; // Unskew the cell origin back to (x,y,z,w) space + var Y0 = j - t; + var Z0 = k - t; + var W0 = l - t; + var x0 = x - X0; // The x,y,z,w distances from the cell origin + var y0 = y - Y0; + var z0 = z - Z0; + var w0 = w - W0; + // To find out which of the 24 possible simplices we're in, we need to determine the magnitude ordering of x0, y0, + // z0 and w0. Six pair-wise comparisons are performed between each possible pair of the four coordinates, and the + // results are used to rank the numbers. + var rankx = 0; + var ranky = 0; + var rankz = 0; + var rankw = 0; + if (x0 > y0) + rankx++; + else + ranky++; + if (x0 > z0) + rankx++; + else + rankz++; + if (x0 > w0) + rankx++; + else + rankw++; + if (y0 > z0) + ranky++; + else + rankz++; + if (y0 > w0) + ranky++; + else + rankw++; + if (z0 > w0) + rankz++; + else + rankw++; + // simplex[c] is a 4-vector with the numbers 0, 1, 2 and 3 in some order. + // Many values of c will never occur, since e.g. x>y>z>w makes x= 3 ? 1 : 0; + var j1 = ranky >= 3 ? 1 : 0; + var k1 = rankz >= 3 ? 1 : 0; + var l1 = rankw >= 3 ? 1 : 0; + // Rank 2 denotes the second largest coordinate. + var i2 = rankx >= 2 ? 1 : 0; + var j2 = ranky >= 2 ? 1 : 0; + var k2 = rankz >= 2 ? 1 : 0; + var l2 = rankw >= 2 ? 1 : 0; + // Rank 1 denotes the second smallest coordinate. + var i3 = rankx >= 1 ? 1 : 0; + var j3 = ranky >= 1 ? 1 : 0; + var k3 = rankz >= 1 ? 1 : 0; + var l3 = rankw >= 1 ? 1 : 0; + // The fifth corner has all coordinate offsets = 1, so no need to compute that. + var x1 = x0 - i1 + FastSimplexNoise.G4; // Offsets for second corner in (x,y,z,w) coords + var y1 = y0 - j1 + FastSimplexNoise.G4; + var z1 = z0 - k1 + FastSimplexNoise.G4; + var w1 = w0 - l1 + FastSimplexNoise.G4; + var x2 = x0 - i2 + 2.0 * FastSimplexNoise.G4; // Offsets for third corner in (x,y,z,w) coords + var y2 = y0 - j2 + 2.0 * FastSimplexNoise.G4; + var z2 = z0 - k2 + 2.0 * FastSimplexNoise.G4; + var w2 = w0 - l2 + 2.0 * FastSimplexNoise.G4; + var x3 = x0 - i3 + 3.0 * FastSimplexNoise.G4; // Offsets for fourth corner in (x,y,z,w) coords + var y3 = y0 - j3 + 3.0 * FastSimplexNoise.G4; + var z3 = z0 - k3 + 3.0 * FastSimplexNoise.G4; + var w3 = w0 - l3 + 3.0 * FastSimplexNoise.G4; + var x4 = x0 - 1.0 + 4.0 * FastSimplexNoise.G4; // Offsets for last corner in (x,y,z,w) coords + var y4 = y0 - 1.0 + 4.0 * FastSimplexNoise.G4; + var z4 = z0 - 1.0 + 4.0 * FastSimplexNoise.G4; + var w4 = w0 - 1.0 + 4.0 * FastSimplexNoise.G4; + // Work out the hashed gradient indices of the five simplex corners + var ii = i & 255; + var jj = j & 255; + var kk = k & 255; + var ll = l & 255; + var gi0 = this.perm[ii + this.perm[jj + this.perm[kk + this.perm[ll]]]] % 32; + var gi1 = this.perm[ii + i1 + this.perm[jj + j1 + this.perm[kk + k1 + this.perm[ll + l1]]]] % 32; + var gi2 = this.perm[ii + i2 + this.perm[jj + j2 + this.perm[kk + k2 + this.perm[ll + l2]]]] % 32; + var gi3 = this.perm[ii + i3 + this.perm[jj + j3 + this.perm[kk + k3 + this.perm[ll + l3]]]] % 32; + var gi4 = this.perm[ii + 1 + this.perm[jj + 1 + this.perm[kk + 1 + this.perm[ll + 1]]]] % 32; + // Calculate the contribution from the five corners + var t0 = 0.5 - x0 * x0 - y0 * y0 - z0 * z0 - w0 * w0; + var n0 = t0 < 0 ? 0.0 : Math.pow(t0, 4) * this.dot(FastSimplexNoise.GRAD4D[gi0], [x0, y0, z0, w0]); + var t1 = 0.5 - x1 * x1 - y1 * y1 - z1 * z1 - w1 * w1; + var n1 = t1 < 0 ? 0.0 : Math.pow(t1, 4) * this.dot(FastSimplexNoise.GRAD4D[gi1], [x1, y1, z1, w1]); + var t2 = 0.5 - x2 * x2 - y2 * y2 - z2 * z2 - w2 * w2; + var n2 = t2 < 0 ? 0.0 : Math.pow(t2, 4) * this.dot(FastSimplexNoise.GRAD4D[gi2], [x2, y2, z2, w2]); + var t3 = 0.5 - x3 * x3 - y3 * y3 - z3 * z3 - w3 * w3; + var n3 = t3 < 0 ? 0.0 : Math.pow(t3, 4) * this.dot(FastSimplexNoise.GRAD4D[gi3], [x3, y3, z3, w3]); + var t4 = 0.5 - x4 * x4 - y4 * y4 - z4 * z4 - w4 * w4; + var n4 = t4 < 0 ? 0.0 : Math.pow(t4, 4) * this.dot(FastSimplexNoise.GRAD4D[gi4], [x4, y4, z4, w4]); + // Sum up and scale the result to cover the range [-1,1] + return 72.37855765153665 * (n0 + n1 + n2 + n3 + n4); + }; + FastSimplexNoise.prototype.scaled = function (coords) { + switch (coords.length) { + case 2: return this.scaled2D(coords[0], coords[1]); + case 3: return this.scaled3D(coords[0], coords[1], coords[2]); + case 4: return this.scaled4D(coords[0], coords[1], coords[2], coords[3]); + default: return null; + } + }; + FastSimplexNoise.prototype.scaled2D = function (x, y) { + var amplitude = this.amplitude; + var frequency = this.frequency; + var maxAmplitude = 0; + var noise = 0; + for (var i = 0; i < this.octaves; i++) { + noise += this.raw2D(x * frequency, y * frequency) * amplitude; + maxAmplitude += amplitude; + amplitude *= this.persistence; + frequency *= 2; + } + return this.scale(noise / maxAmplitude); + }; + FastSimplexNoise.prototype.scaled3D = function (x, y, z) { + var amplitude = this.amplitude; + var frequency = this.frequency; + var maxAmplitude = 0; + var noise = 0; + for (var i = 0; i < this.octaves; i++) { + noise += this.raw3D(x * frequency, y * frequency, z * frequency) * amplitude; + maxAmplitude += amplitude; + amplitude *= this.persistence; + frequency *= 2; + } + return this.scale(noise / maxAmplitude); + }; + FastSimplexNoise.prototype.scaled4D = function (x, y, z, w) { + var amplitude = this.amplitude; + var frequency = this.frequency; + var maxAmplitude = 0; + var noise = 0; + for (var i = 0; i < this.octaves; i++) { + noise += this.raw4D(x * frequency, y * frequency, z * frequency, w * frequency) * amplitude; + maxAmplitude += amplitude; + amplitude *= this.persistence; + frequency *= 2; + } + return this.scale(noise / maxAmplitude); + }; + FastSimplexNoise.prototype.spherical = function (circumference, coords) { + switch (coords.length) { + case 3: return this.spherical3D(circumference, coords[0], coords[1], coords[2]); + case 2: return this.spherical2D(circumference, coords[0], coords[1]); + default: return null; + } + }; + FastSimplexNoise.prototype.spherical2D = function (circumference, x, y) { + var nx = x / circumference; + var ny = y / circumference; + var rdx = nx * 2 * Math.PI; + var rdy = ny * Math.PI; + var sinY = Math.sin(rdy + Math.PI); + var sinRds = 2 * Math.PI; + var a = sinRds * Math.sin(rdx) * sinY; + var b = sinRds * Math.cos(rdx) * sinY; + var d = sinRds * Math.cos(rdy); + return this.scaled3D(a, b, d); + }; + FastSimplexNoise.prototype.spherical3D = function (circumference, x, y, z) { + var nx = x / circumference; + var ny = y / circumference; + var rdx = nx * 2 * Math.PI; + var rdy = ny * Math.PI; + var sinY = Math.sin(rdy + Math.PI); + var sinRds = 2 * Math.PI; + var a = sinRds * Math.sin(rdx) * sinY; + var b = sinRds * Math.cos(rdx) * sinY; + var d = sinRds * Math.cos(rdy); + return this.scaled4D(a, b, d, z); + }; + FastSimplexNoise.G2 = (3.0 - Math.sqrt(3.0)) / 6.0; + FastSimplexNoise.G3 = 1.0 / 6.0; + FastSimplexNoise.G4 = (5.0 - Math.sqrt(5.0)) / 20.0; + FastSimplexNoise.GRAD3D = [ + [1, 1, 0], [-1, 1, 0], [1, -1, 0], [-1, -1, 0], + [1, 0, 1], [-1, 0, 1], [1, 0, -1], [-1, 0, -1], + [0, 1, 1], [0, -1, -1], [0, 1, -1], [0, -1, -1] + ]; + FastSimplexNoise.GRAD4D = [ + [0, 1, 1, 1], [0, 1, 1, -1], [0, 1, -1, 1], [0, 1, -1, -1], + [0, -1, 1, 1], [0, -1, 1, -1], [0, -1, -1, 1], [0, -1, -1, -1], + [1, 0, 1, 1], [1, 0, 1, -1], [1, 0, -1, 1], [1, 0, -1, -1], + [-1, 0, 1, 1], [-1, 0, 1, -1], [-1, 0, -1, 1], [-1, 0, -1, -1], + [1, 1, 0, 1], [1, 1, 0, -1], [1, -1, 0, 1], [1, -1, 0, -1], + [-1, 1, 0, 1], [-1, 1, 0, -1], [-1, -1, 0, 1], [-1, -1, 0, -1], + [1, 1, 1, 0], [1, 1, -1, 0], [1, -1, 1, 0], [1, -1, -1, 0], + [-1, 1, 1, 0], [-1, 1, -1, 0], [-1, -1, 1, 0], [-1, -1, -1, 0] + ]; + return FastSimplexNoise; +}()); +exports.default = FastSimplexNoise; diff --git a/yarn.lock b/yarn.lock new file mode 100644 index 0000000..55ddefa --- /dev/null +++ b/yarn.lock @@ -0,0 +1,585 @@ +# THIS IS AN AUTOGENERATED FILE. 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