├── doc └── screenshot_01.png ├── Perlin-Swift.xcodeproj ├── project.xcworkspace │ └── contents.xcworkspacedata └── project.pbxproj ├── .gitignore ├── Perlin-SwiftTests ├── Info.plist └── Perlin_SwiftTests.swift ├── README.md ├── LICENSE.md └── Perlin-Swift ├── Images.xcassets └── AppIcon.appiconset │ └── Contents.json ├── Info.plist ├── AppDelegate.swift ├── Base.lproj ├── LaunchScreen.xib └── Main.storyboard ├── ViewController.swift └── PerlinGenerator.swift /doc/screenshot_01.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/lachlanhurst/perlin-swift/HEAD/doc/screenshot_01.png -------------------------------------------------------------------------------- /Perlin-Swift.xcodeproj/project.xcworkspace/contents.xcworkspacedata: -------------------------------------------------------------------------------- 1 | 2 | 4 | 6 | 7 | 8 | -------------------------------------------------------------------------------- /.gitignore: -------------------------------------------------------------------------------- 1 | ### Xcode ### 2 | build/ 3 | *.pbxuser 4 | !default.pbxuser 5 | *.mode1v3 6 | !default.mode1v3 7 | *.mode2v3 8 | !default.mode2v3 9 | *.perspectivev3 10 | !default.perspectivev3 11 | xcuserdata 12 | *.xccheckout 13 | *.moved-aside 14 | DerivedData 15 | *.xcuserstate 16 | 17 | # Workspace file - autogenerated by cocoa pods 18 | *.xcworkspace 19 | 20 | 21 | # CocoaPods 22 | Pods/ 23 | -------------------------------------------------------------------------------- /Perlin-SwiftTests/Info.plist: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | CFBundleDevelopmentRegion 6 | en 7 | CFBundleExecutable 8 | $(EXECUTABLE_NAME) 9 | CFBundleIdentifier 10 | $(PRODUCT_BUNDLE_IDENTIFIER) 11 | CFBundleInfoDictionaryVersion 12 | 6.0 13 | CFBundleName 14 | $(PRODUCT_NAME) 15 | CFBundlePackageType 16 | BNDL 17 | CFBundleShortVersionString 18 | 1.0 19 | CFBundleSignature 20 | ???? 21 | CFBundleVersion 22 | 1 23 | 24 | 25 | -------------------------------------------------------------------------------- /README.md: -------------------------------------------------------------------------------- 1 | # perlin-swift 2 | Perlin noise generator implemented in Swift 3 | 4 | ![Perlin noise screenshots](doc/screenshot_01.png) 5 | 6 | This project is a based on a port of the CZGPerlinGenerator class as implemented in the [perlin-iOS](https://github.com/czgarrett/perlin-ios) project. 7 | 8 | It contains a demo app for experimenting with the PerlinGenerator parameters. 9 | 10 | # Performance notes 11 | As of XCode 6.4 and an aging iPhone 4s, there is a noticable difference in performance between release and debug builds. A release build runs approximately 4 times quicker. 12 | 13 | The implementation of the PerlinGenerator in the `master` branch of this repository supports 4 dimensions, although only two are visualised in the demo app. I've implemented a 2D version of the noise generator in the `feature-2d-only` branch, it is much quicker and allows the demo app to update in real-time. 14 | 15 | 16 | # License 17 | MIT 18 | 19 | 20 | -------------------------------------------------------------------------------- /Perlin-SwiftTests/Perlin_SwiftTests.swift: -------------------------------------------------------------------------------- 1 | // 2 | // Perlin_SwiftTests.swift 3 | // Perlin-SwiftTests 4 | // 5 | // Created by Lachlan Hurst on 24/08/2015. 6 | // Copyright (c) 2015 Lachlan Hurst. All rights reserved. 7 | // 8 | 9 | import UIKit 10 | import XCTest 11 | 12 | class Perlin_SwiftTests: XCTestCase { 13 | 14 | override func setUp() { 15 | super.setUp() 16 | // Put setup code here. This method is called before the invocation of each test method in the class. 17 | } 18 | 19 | override func tearDown() { 20 | // Put teardown code here. This method is called after the invocation of each test method in the class. 21 | super.tearDown() 22 | } 23 | 24 | func testExample() { 25 | // This is an example of a functional test case. 26 | XCTAssert(true, "Pass") 27 | } 28 | 29 | func testPerformanceExample() { 30 | // This is an example of a performance test case. 31 | self.measure() { 32 | // Put the code you want to measure the time of here. 33 | } 34 | } 35 | 36 | } 37 | -------------------------------------------------------------------------------- /LICENSE.md: -------------------------------------------------------------------------------- 1 | The MIT License (MIT) 2 | 3 | Copyright (c) 2015 Lachlan Hurst 4 | 5 | Permission is hereby granted, free of charge, to any person obtaining a copy 6 | of this software and associated documentation files (the "Software"), to deal 7 | in the Software without restriction, including without limitation the rights 8 | to use, copy, modify, merge, publish, distribute, sublicense, and/or sell 9 | copies of the Software, and to permit persons to whom the Software is 10 | furnished to do so, subject to the following conditions: 11 | 12 | The above copyright notice and this permission notice shall be included in all 13 | copies or substantial portions of the Software. 14 | 15 | THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR 16 | IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, 17 | FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE 18 | AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER 19 | LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, 20 | OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE 21 | SOFTWARE. 22 | -------------------------------------------------------------------------------- /Perlin-Swift/Images.xcassets/AppIcon.appiconset/Contents.json: -------------------------------------------------------------------------------- 1 | { 2 | "images" : [ 3 | { 4 | "idiom" : "iphone", 5 | "size" : "29x29", 6 | "scale" : "2x" 7 | }, 8 | { 9 | "idiom" : "iphone", 10 | "size" : "29x29", 11 | "scale" : "3x" 12 | }, 13 | { 14 | "idiom" : "iphone", 15 | "size" : "40x40", 16 | "scale" : "2x" 17 | }, 18 | { 19 | "idiom" : "iphone", 20 | "size" : "40x40", 21 | "scale" : "3x" 22 | }, 23 | { 24 | "idiom" : "iphone", 25 | "size" : "60x60", 26 | "scale" : "2x" 27 | }, 28 | { 29 | "idiom" : "iphone", 30 | "size" : "60x60", 31 | "scale" : "3x" 32 | }, 33 | { 34 | "idiom" : "ipad", 35 | "size" : "29x29", 36 | "scale" : "1x" 37 | }, 38 | { 39 | "idiom" : "ipad", 40 | "size" : "29x29", 41 | "scale" : "2x" 42 | }, 43 | { 44 | "idiom" : "ipad", 45 | "size" : "40x40", 46 | "scale" : "1x" 47 | }, 48 | { 49 | "idiom" : "ipad", 50 | "size" : "40x40", 51 | "scale" : "2x" 52 | }, 53 | { 54 | "idiom" : "ipad", 55 | "size" : "76x76", 56 | "scale" : "1x" 57 | }, 58 | { 59 | "idiom" : "ipad", 60 | "size" : "76x76", 61 | "scale" : "2x" 62 | } 63 | ], 64 | "info" : { 65 | "version" : 1, 66 | "author" : "xcode" 67 | } 68 | } -------------------------------------------------------------------------------- /Perlin-Swift/Info.plist: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | CFBundleDevelopmentRegion 6 | en 7 | CFBundleExecutable 8 | $(EXECUTABLE_NAME) 9 | CFBundleIdentifier 10 | $(PRODUCT_BUNDLE_IDENTIFIER) 11 | CFBundleInfoDictionaryVersion 12 | 6.0 13 | CFBundleName 14 | $(PRODUCT_NAME) 15 | CFBundlePackageType 16 | APPL 17 | CFBundleShortVersionString 18 | 1.0 19 | CFBundleSignature 20 | ???? 21 | CFBundleVersion 22 | 1 23 | LSRequiresIPhoneOS 24 | 25 | UILaunchStoryboardName 26 | LaunchScreen 27 | UIMainStoryboardFile 28 | Main 29 | UIRequiredDeviceCapabilities 30 | 31 | armv7 32 | 33 | UISupportedInterfaceOrientations 34 | 35 | UIInterfaceOrientationPortrait 36 | UIInterfaceOrientationLandscapeLeft 37 | UIInterfaceOrientationLandscapeRight 38 | 39 | UISupportedInterfaceOrientations~ipad 40 | 41 | UIInterfaceOrientationPortrait 42 | UIInterfaceOrientationPortraitUpsideDown 43 | UIInterfaceOrientationLandscapeLeft 44 | UIInterfaceOrientationLandscapeRight 45 | 46 | 47 | 48 | -------------------------------------------------------------------------------- /Perlin-Swift/AppDelegate.swift: -------------------------------------------------------------------------------- 1 | // 2 | // AppDelegate.swift 3 | // Perlin-Swift 4 | // 5 | // Created by Lachlan Hurst on 24/08/2015. 6 | // Copyright (c) 2015 Lachlan Hurst. All rights reserved. 7 | // 8 | 9 | import UIKit 10 | 11 | @UIApplicationMain 12 | class AppDelegate: UIResponder, UIApplicationDelegate { 13 | 14 | var window: UIWindow? 15 | 16 | 17 | func application(_ application: UIApplication, didFinishLaunchingWithOptions launchOptions: [UIApplicationLaunchOptionsKey: Any]?) -> Bool { 18 | // Override point for customization after application launch. 19 | return true 20 | } 21 | 22 | func applicationWillResignActive(_ application: UIApplication) { 23 | // Sent when the application is about to move from active to inactive state. This can occur for certain types of temporary interruptions (such as an incoming phone call or SMS message) or when the user quits the application and it begins the transition to the background state. 24 | // Use this method to pause ongoing tasks, disable timers, and throttle down OpenGL ES frame rates. Games should use this method to pause the game. 25 | } 26 | 27 | func applicationDidEnterBackground(_ application: UIApplication) { 28 | // Use this method to release shared resources, save user data, invalidate timers, and store enough application state information to restore your application to its current state in case it is terminated later. 29 | // If your application supports background execution, this method is called instead of applicationWillTerminate: when the user quits. 30 | } 31 | 32 | func applicationWillEnterForeground(_ application: UIApplication) { 33 | // Called as part of the transition from the background to the inactive state; here you can undo many of the changes made on entering the background. 34 | } 35 | 36 | func applicationDidBecomeActive(_ application: UIApplication) { 37 | // Restart any tasks that were paused (or not yet started) while the application was inactive. If the application was previously in the background, optionally refresh the user interface. 38 | } 39 | 40 | func applicationWillTerminate(_ application: UIApplication) { 41 | // Called when the application is about to terminate. Save data if appropriate. See also applicationDidEnterBackground:. 42 | } 43 | 44 | 45 | } 46 | 47 | -------------------------------------------------------------------------------- /Perlin-Swift/Base.lproj/LaunchScreen.xib: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 | 30 | 31 | 32 | 33 | 34 | 35 | 36 | 37 | 38 | 39 | 40 | 41 | 42 | -------------------------------------------------------------------------------- /Perlin-Swift/ViewController.swift: -------------------------------------------------------------------------------- 1 | // 2 | // ViewController.swift 3 | // Perlin-Swift 4 | // 5 | // Created by Lachlan Hurst on 24/08/2015. 6 | // Copyright (c) 2015 Lachlan Hurst. All rights reserved. 7 | // 8 | 9 | import UIKit 10 | import Foundation 11 | 12 | class ViewController: UIViewController, UITextFieldDelegate { 13 | 14 | @IBOutlet var zoomLabel: UILabel! 15 | @IBOutlet var persistenceLabel: UILabel! 16 | @IBOutlet var octavesLabel: UILabel! 17 | 18 | @IBOutlet var zoomSlider: UISlider! 19 | @IBOutlet var persistenceSlider: UISlider! 20 | @IBOutlet var octavesSlider: UISlider! 21 | 22 | @IBOutlet var sizeXtext: UITextField! 23 | @IBOutlet var sizeYtext: UITextField! 24 | 25 | @IBOutlet var imageView: UIImageView! 26 | 27 | fileprivate var generator = PerlinGenerator() 28 | 29 | @IBAction func aSliderChanged(_ sender: AnyObject) { 30 | 31 | let slider = sender as! UISlider 32 | if slider === zoomSlider { 33 | zoomLabel.textAlignment = NSTextAlignment.left 34 | zoomLabel.text = String(format: "Z = %.2f", slider.value) 35 | } else if slider === persistenceSlider { 36 | persistenceLabel.textAlignment = NSTextAlignment.left 37 | persistenceLabel.text = String(format: "P = %.2f", slider.value) 38 | } else if slider === octavesSlider { 39 | octavesLabel.textAlignment = NSTextAlignment.left 40 | octavesLabel.text = "O = \(Int(slider.value))" 41 | } 42 | 43 | updateNoiseImage() 44 | } 45 | 46 | @IBAction func newPressed(_ sender: AnyObject) { 47 | generator = PerlinGenerator() 48 | updateNoiseImage() 49 | } 50 | 51 | func updateNoiseImage() { 52 | 53 | generator.octaves = Int(octavesSlider.value) 54 | generator.zoom = zoomSlider.value 55 | generator.persistence = persistenceSlider.value 56 | 57 | let sizeX = CGFloat(NSString(string: sizeXtext.text!).floatValue) 58 | let sizeY = CGFloat(NSString(string: sizeYtext.text!).floatValue) 59 | let size = CGSize(width: sizeX, height: sizeY) 60 | 61 | let noise = generateNoiseImage(generator, size: size) 62 | imageView.image = noise 63 | } 64 | 65 | 66 | func generateNoiseImage(_ generator:PerlinGenerator, size:CGSize) -> UIImage { 67 | 68 | let width = Int(size.width) 69 | let height = Int(size.height) 70 | 71 | let startTime = CFAbsoluteTimeGetCurrent(); 72 | 73 | var pixelArray = [PixelData](repeating: PixelData(a: 255, r:0, g: 0, b: 0), count: width * height) 74 | 75 | for i in 0 ..< height { 76 | for j in 0 ..< width { 77 | var val = abs(generator.perlinNoise(Float(j), y: Float(i), z: 0, t: 0)) 78 | if val > 1 { 79 | val = 1 80 | } 81 | let index = i * width + j 82 | let u_I = UInt8(val * 255) 83 | pixelArray[index].r = u_I 84 | pixelArray[index].g = u_I 85 | pixelArray[index].b = 0 86 | } 87 | } 88 | let outputImage = imageFromARGB32Bitmap(pixelArray, width: width, height: height) 89 | 90 | print(" R RENDER:" + String(format: "%.4f", CFAbsoluteTimeGetCurrent() - startTime)); 91 | 92 | return outputImage 93 | 94 | /* 95 | let bounds = CGRect(origin: CGPoint.zeroPoint, size: size) 96 | let opaque = false 97 | let scale: CGFloat = 0 98 | UIGraphicsBeginImageContextWithOptions(size, opaque, scale) 99 | let ctx = UIGraphicsGetCurrentContext() 100 | 101 | CGContextSetRGBFillColor(ctx, 1.000, 0.0, 0.000, 1.000); // light blue 102 | CGContextFillRect(ctx, CGRectMake(0.0, 0.0, size.width, size.height)); 103 | for (var x:CGFloat = 0.0; x < size.width; x+=1.0) { 104 | for (var y:CGFloat=0.0; y < size.height; y+=1.0) { 105 | let val = generator.perlinNoise(Float(x), y: Float(y), z: 0, t: 0) 106 | CGContextSetRGBFillColor(ctx, 1.0, 1.0, 1.0, CGFloat(abs(val))) 107 | CGContextFillRect(ctx, CGRectMake(x, y, 1.0, 1.0)); 108 | } 109 | } 110 | 111 | let image = UIGraphicsGetImageFromCurrentImageContext() 112 | UIGraphicsEndImageContext() 113 | return image*/ 114 | } 115 | 116 | override func viewDidLoad() { 117 | super.viewDidLoad() 118 | 119 | sizeXtext.delegate = self 120 | sizeYtext.delegate = self 121 | 122 | //strech to fit but maintain aspect ratio 123 | imageView.contentMode = UIViewContentMode.scaleAspectFit 124 | 125 | //use nearest neighbour, we want to see the pixels (not blur them) 126 | imageView.layer.magnificationFilter = kCAFilterNearest 127 | } 128 | 129 | override func viewDidLayoutSubviews() { 130 | if sizeXtext.text == "" { 131 | let size = self.imageView.bounds.size 132 | sizeXtext.text = "\(Int(size.width/5))" 133 | sizeYtext.text = "\(Int(size.height/5))" 134 | } 135 | } 136 | 137 | override func viewDidAppear(_ animated: Bool) { 138 | updateNoiseImage() 139 | } 140 | 141 | override func didReceiveMemoryWarning() { 142 | super.didReceiveMemoryWarning() 143 | // Dispose of any resources that can be recreated. 144 | } 145 | 146 | // 147 | // UITextFieldDelegate funcs 148 | // 149 | func textFieldShouldReturn(_ textField: UITextField) -> Bool { 150 | textField.resignFirstResponder() 151 | return true 152 | } 153 | 154 | func textFieldDidEndEditing(_ textField: UITextField) { 155 | updateNoiseImage() 156 | } 157 | 158 | // 159 | // drawing images from pixel data 160 | // http://blog.human-friendly.com/drawing-images-from-pixel-data-in-swift 161 | // 162 | struct PixelData { 163 | var a:UInt8 = 255 164 | var r:UInt8 165 | var g:UInt8 166 | var b:UInt8 167 | } 168 | 169 | fileprivate let rgbColorSpace = CGColorSpaceCreateDeviceRGB() 170 | fileprivate let bitmapInfo:CGBitmapInfo = CGBitmapInfo(rawValue: CGImageAlphaInfo.premultipliedFirst.rawValue) 171 | 172 | func imageFromARGB32Bitmap(_ pixels:[PixelData], width:Int, height:Int)->UIImage { 173 | let bitsPerComponent:Int = 8 174 | let bitsPerPixel:Int = 32 175 | 176 | assert(pixels.count == Int(width * height)) 177 | 178 | var data = pixels // Copy to mutable [] 179 | let bdata = Data(bytes: &data, count: data.count * MemoryLayout.size) 180 | 181 | let providerRef = CGDataProvider(data: bdata as CFData) 182 | 183 | let cgim = CGImage( 184 | width: width, 185 | height: height, 186 | bitsPerComponent: bitsPerComponent, 187 | bitsPerPixel: bitsPerPixel, 188 | bytesPerRow: width * Int(MemoryLayout.size), 189 | space: rgbColorSpace, 190 | bitmapInfo: bitmapInfo, 191 | provider: providerRef!, 192 | decode: nil, 193 | shouldInterpolate: false, 194 | intent: CGColorRenderingIntent.defaultIntent 195 | ) 196 | return UIImage(cgImage: cgim!) 197 | } 198 | 199 | 200 | } 201 | 202 | -------------------------------------------------------------------------------- /Perlin-Swift/PerlinGenerator.swift: -------------------------------------------------------------------------------- 1 | // 2 | // Port of a Perlin noise Objective-C implementation in Swift 3 | // Original source https://github.com/czgarrett/perlin-ios 4 | // 5 | // For references on the Perlin algorithm: 6 | // Each of these has a slightly different way of explaining Perlin noise. They were all useful: 7 | // Overviews of Perlin: http://paulbourke.net/texture_colour/perlin/ and http://freespace.virgin.net/hugo.elias/models/m_perlin.htm 8 | // Awesome C++ tutorial on Perlin: http://www.dreamincode.net/forums/topic/66480-perlin-noise/ 9 | 10 | // MIT License: 11 | 12 | // Perlin-Swift Copyright (c) 2015 Lachlan Hurst 13 | // Perlin-iOS Copyright (C) 2011 by Christopher Z. Garrett 14 | 15 | // Permission is hereby granted, free of charge, to any person obtaining a copy 16 | // of this software and associated documentation files (the "Software"), to deal 17 | // in the Software without restriction, including without limitation the rights 18 | // to use, copy, modify, merge, publish, distribute, sublicense, and/or sell 19 | // copies of the Software, and to permit persons to whom the Software is 20 | // furnished to do so, subject to the following conditions: 21 | 22 | // The above copyright notice and this permission notice shall be included in 23 | // all copies or substantial portions of the Software. 24 | 25 | // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR 26 | // IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, 27 | // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE 28 | // AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER 29 | // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, 30 | // OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN 31 | 32 | 33 | import Foundation 34 | 35 | let PERMUTATION_SIZE = 256 36 | 37 | 38 | class PerlinGenerator { 39 | 40 | static let gradient:[[Int8]] = [ 41 | [ 1, 1, 1, 0], [ 1, 1, 0, 1], [ 1, 0, 1, 1], [ 0, 1, 1, 1], 42 | [ 1, 1, -1, 0], [ 1, 1, 0, -1], [ 1, 0, 1, -1], [ 0, 1, 1, -1], 43 | [ 1, -1, 1, 0], [ 1, -1, 0, 1], [ 1, 0, -1, 1], [ 0, 1, -1, 1], 44 | [ 1, -1, -1, 0], [ 1, -1, 0, -1], [ 1, 0, -1, -1], [ 0, 1, -1, -1], 45 | [-1, 1, 1, 0], [-1, 1, 0, 1], [-1, 0, 1, 1], [ 0, -1, 1, 1], 46 | [-1, 1, -1, 0], [-1, 1, 0, -1], [-1, 0, 1, -1], [ 0, -1, 1, -1], 47 | [-1, -1, 1, 0], [-1, -1, 0, 1], [-1, 0, -1, 1], [ 0, -1, -1, 1], 48 | [-1, -1, -1, 0], [-1, -1, 0, -1], [-1, 0, -1, -1], [ 0, -1, -1, -1] 49 | ] 50 | 51 | var permut:[Int] 52 | 53 | var octaves:Int 54 | var persistence:Float 55 | var zoom:Float 56 | 57 | init(){ 58 | permut = [] 59 | for _ in 0 ..< PERMUTATION_SIZE { 60 | permut.append(Int(arc4random() & 0xff)) 61 | } 62 | octaves = 1 63 | persistence = 1.0 64 | zoom = 1.0 65 | } 66 | 67 | func gradientAt(_ i:Int, j:Int, k:Int, l:Int) -> Int { 68 | return (permut[(l + permut[(k + permut[(j + permut[i & 0xff]) 69 | & 0xff]) 70 | & 0xff]) 71 | & 0xff] 72 | & 0x1f) 73 | } 74 | 75 | func productOf(_ a:Float, b:Int8) -> Float { 76 | if b > 0 { 77 | return a 78 | } 79 | if b < 0 { 80 | return -a 81 | } 82 | return 0 83 | } 84 | 85 | func dotProductI(_ x0:Float, x1:Int8, 86 | y0:Float, y1:Int8, 87 | z0:Float, z1:Int8, 88 | t0:Float, t1:Int8) -> Float { 89 | return self.productOf(x0, b: x1) + 90 | self.productOf(y0, b: y1) + 91 | self.productOf(z0, b: z1) + 92 | self.productOf(t0, b: t1) 93 | } 94 | 95 | func spline(_ state:Float) -> Float{ 96 | let square = state * state 97 | let cubic = square * state 98 | return cubic * (6 * square - 15 * state + 10) 99 | } 100 | 101 | func interpolate(_ a:Float, b:Float, x:Float) -> Float { 102 | return a + x*(b-a) 103 | } 104 | 105 | func smoothNoise(_ x:Float, y:Float, z:Float, t:Float) -> Float { 106 | let x0 = Int(x > 0 ? x : x - 1) 107 | let y0 = Int(y > 0 ? y : y - 1) 108 | let z0 = Int(z > 0 ? z : z - 1) 109 | let t0 = Int(t > 0 ? t : t - 1) 110 | 111 | let x1 = x0+1 112 | let y1 = y0+1 113 | let z1 = z0+1 114 | let t1 = t0+1 115 | 116 | // The vectors 117 | var dx0 = x-Float(x0) 118 | var dy0 = y-Float(y0) 119 | var dz0 = z-Float(z0) 120 | var dt0 = t-Float(t0) 121 | let dx1 = x-Float(x1) 122 | let dy1 = y-Float(y1) 123 | let dz1 = z-Float(z1) 124 | let dt1 = t-Float(t1) 125 | 126 | // The 16 gradient values 127 | var g0000 = PerlinGenerator.gradient[self.gradientAt(x0, j: y0, k: z0, l: t0)] 128 | var g0001 = PerlinGenerator.gradient[self.gradientAt(x0, j: y0, k: z0, l: t1)] 129 | var g0010 = PerlinGenerator.gradient[self.gradientAt(x0, j: y0, k: z1, l: t0)] 130 | var g0011 = PerlinGenerator.gradient[self.gradientAt(x0, j: y0, k: z1, l: t1)] 131 | var g0100 = PerlinGenerator.gradient[self.gradientAt(x0, j: y1, k: z0, l: t0)] 132 | var g0101 = PerlinGenerator.gradient[self.gradientAt(x0, j: y1, k: z0, l: t1)] 133 | var g0110 = PerlinGenerator.gradient[self.gradientAt(x0, j: y1, k: z1, l: t0)] 134 | var g0111 = PerlinGenerator.gradient[self.gradientAt(x0, j: y1, k: z1, l: t1)] 135 | var g1000 = PerlinGenerator.gradient[self.gradientAt(x1, j: y0, k: z0, l: t0)] 136 | var g1001 = PerlinGenerator.gradient[self.gradientAt(x1, j: y0, k: z0, l: t1)] 137 | var g1010 = PerlinGenerator.gradient[self.gradientAt(x1, j: y0, k: z1, l: t0)] 138 | var g1011 = PerlinGenerator.gradient[self.gradientAt(x1, j: y0, k: z1, l: t1)] 139 | var g1100 = PerlinGenerator.gradient[self.gradientAt(x1, j: y1, k: z0, l: t0)] 140 | var g1101 = PerlinGenerator.gradient[self.gradientAt(x1, j: y1, k: z0, l: t1)] 141 | var g1110 = PerlinGenerator.gradient[self.gradientAt(x1, j: y1, k: z1, l: t0)] 142 | var g1111 = PerlinGenerator.gradient[self.gradientAt(x1, j: y1, k: z1, l: t1)] 143 | 144 | // The 16 dot products 145 | let b0000 = self.dotProductI(dx0, x1: g0000[0], y0:dy0, y1:g0000[1], z0:dz0, z1:g0000[2], t0:dt0, t1:g0000[3]) 146 | let b0001 = self.dotProductI(dx0, x1: g0001[0], y0:dy0, y1:g0001[1], z0:dz0, z1:g0001[2], t0:dt1, t1:g0001[3]) 147 | let b0010 = self.dotProductI(dx0, x1: g0010[0], y0:dy0, y1:g0010[1], z0:dz1, z1:g0010[2], t0:dt0, t1:g0010[3]) 148 | let b0011 = self.dotProductI(dx0, x1: g0011[0], y0:dy0, y1:g0011[1], z0:dz1, z1:g0011[2], t0:dt1, t1:g0011[3]) 149 | let b0100 = self.dotProductI(dx0, x1: g0100[0], y0:dy1, y1:g0100[1], z0:dz0, z1:g0100[2], t0:dt0, t1:g0100[3]) 150 | let b0101 = self.dotProductI(dx0, x1: g0101[0], y0:dy1, y1:g0101[1], z0:dz0, z1:g0101[2], t0:dt1, t1:g0101[3]) 151 | let b0110 = self.dotProductI(dx0, x1: g0110[0], y0:dy1, y1:g0110[1], z0:dz1, z1:g0110[2], t0:dt0, t1:g0110[3]) 152 | let b0111 = self.dotProductI(dx0, x1: g0111[0], y0:dy1, y1:g0111[1], z0:dz1, z1:g0111[2], t0:dt1, t1:g0111[3]) 153 | let b1000 = self.dotProductI(dx1, x1: g1000[0], y0:dy0, y1:g1000[1], z0:dz0, z1:g1000[2], t0:dt0, t1:g1000[3]) 154 | let b1001 = self.dotProductI(dx1, x1: g1001[0], y0:dy0, y1:g1001[1], z0:dz0, z1:g1001[2], t0:dt1, t1:g1001[3]) 155 | let b1010 = self.dotProductI(dx1, x1: g1010[0], y0:dy0, y1:g1010[1], z0:dz1, z1:g1010[2], t0:dt0, t1:g1010[3]) 156 | let b1011 = self.dotProductI(dx1, x1: g1011[0], y0:dy0, y1:g1011[1], z0:dz1, z1:g1011[2], t0:dt1, t1:g1011[3]) 157 | let b1100 = self.dotProductI(dx1, x1: g1100[0], y0:dy1, y1:g1100[1], z0:dz0, z1:g1100[2], t0:dt0, t1:g1100[3]) 158 | let b1101 = self.dotProductI(dx1, x1: g1101[0], y0:dy1, y1:g1101[1], z0:dz0, z1:g1101[2], t0:dt1, t1:g1101[3]) 159 | let b1110 = self.dotProductI(dx1, x1: g1110[0], y0:dy1, y1:g1110[1], z0:dz1, z1:g1110[2], t0:dt0, t1:g1110[3]) 160 | let b1111 = self.dotProductI(dx1, x1: g1111[0], y0:dy1, y1:g1111[1], z0:dz1, z1:g1111[2], t0:dt1, t1:g1111[3]) 161 | 162 | dx0 = self.spline(dx0) 163 | dy0 = self.spline(dy0) 164 | dz0 = self.spline(dz0) 165 | dt0 = self.spline(dt0) 166 | 167 | let b111 = self.interpolate(b1110, b:b1111, x:dt0) 168 | let b110 = self.interpolate(b1100, b:b1101, x:dt0) 169 | let b101 = self.interpolate(b1010, b:b1011, x:dt0) 170 | let b100 = self.interpolate(b1000, b:b1001, x:dt0) 171 | let b011 = self.interpolate(b0110, b:b0111, x:dt0) 172 | let b010 = self.interpolate(b0100, b:b0101, x:dt0) 173 | let b001 = self.interpolate(b0010, b:b0011, x:dt0) 174 | let b000 = self.interpolate(b0000, b:b0001, x:dt0) 175 | 176 | let b11 = self.interpolate(b110, b:b111, x:dz0) 177 | let b10 = self.interpolate(b100, b:b101, x:dz0) 178 | let b01 = self.interpolate(b010, b:b011, x:dz0) 179 | let b00 = self.interpolate(b000, b:b001, x:dz0) 180 | 181 | let b1 = self.interpolate(b10, b:b11, x:dy0) 182 | let b0 = self.interpolate(b00, b:b01, x:dy0) 183 | 184 | let result = self.interpolate(b0, b:b1, x:dx0) 185 | 186 | return result; 187 | } 188 | 189 | func perlinNoise(_ x:Float, y:Float, z:Float, t:Float) -> Float{ 190 | 191 | var noise:Float = 0.0 192 | for octave in 0 ..< self.octaves { 193 | let frequency:Float = powf(2,Float(octave)) 194 | let amplitude = powf(self.persistence, Float(octave)) 195 | 196 | noise += self.smoothNoise(x * frequency/zoom, 197 | y: y * frequency/zoom, 198 | z: z * frequency/zoom, 199 | t: t * frequency/zoom) * amplitude 200 | } 201 | return noise 202 | } 203 | } 204 | 205 | 206 | 207 | 208 | 209 | 210 | 211 | -------------------------------------------------------------------------------- /Perlin-Swift/Base.lproj/Main.storyboard: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 | 30 | 31 | 32 | 33 | 34 | 35 | 36 | 37 | 38 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