# orx-noise Randomness for every type of person: Perlin, uniform, value, simplex, fractal and many other types of noise. ## Uniform random numbers ```kotlin val sua = Double.uniform() val sub = Double.uniform(-1.0, 1.0) val v2ua = Vector2.uniform() val v2ub = Vector2.uniform(-1.0, 1.0) val v2uc = Vector2.uniform(Vector2(0.0, 0.0), Vector2(1.0, 1.0)) val v2ur = Vector2.uniformRing(0.5, 1.0) val v3ua = Vector3.uniform() val v3ub = Vector3.uniform(-1.0, 1.0) val v3uc = Vector3.uniform(Vector3(0.0, 0.0, 0.0), Vector3(1.0, 1.0, 1.0)) val v3ur = Vector3.uniformRing(0.5, 1.0) val v4ua = Vector4.uniform() val v4ub = Vector4.uniform(-1.0, 1.0) val v4uc = Vector4.uniform(Vector4(0.0, 0.0, 0.0, 0.0), Vector4(1.0, 1.0, 1.0, 1.0)) val v4ur = Vector4.uniformRing(0.5, 1.0) val ringSamples = List(500) { Vector2.uniformRing() } ``` ## Noise function composition Since ORX 0.4 the orx-noise module comes with functional composition tooling that allow one to create complex noise functions. ```kotlin // create an FBM version of 1D linear perlin noise val myNoise0 = perlinLinear1D.fbm(octaves=3) val noiseValue0 = myNoise0(431, seconds) // create polar version of 2D simplex noise val myNoise1 = simplex2D.withPolarInput() val noiseValue1 = myNoise1(5509, Polar(seconds*60.0, 0.5)) // create value linear noise with squared outputs which is then billowed val myNoise2 = valueLinear1D.mapOutput { it * it }.billow() val noiseValue2 = myNoise2(993, seconds * 0.1) ``` ## Multi-dimensional noise These are a mostly straight port from FastNoise-Java but have a slightly different interface. ### Perlin noise ```kotlin // -- 1d val v0 = perlinLinear(seed, x) val v1 = perlinQuintic(seed, x) val v2 = perlinHermite(seed, x) // -- 2d val v3 = perlinLinear(seed, x, y) val v4 = perlinQuintic(seed, x, y) val v5 = perlinHermite(seed, x, y) // -- 3d val v6 = perlinLinear(seed, x, y, z) val v7 = perlinQuintic(seed, x, y, z) val v8 = perlinHermite(seed, x, y, z) ``` ### Value noise ```kotlin // -- 1d val v0 = valueLinear(seed, x) val v1 = valueQuintic(seed, x) val v2 = valueHermite(seed, x) // -- 2d val v2 = valueLinear(seed, x, y) val v3 = valueQuintic(seed, x, y) val v4 = valueHermite(seed, x, y) // -- 3d val v5 = valueLinear(seed, x, y, z) val v6 = valueQuintic(seed, x, y, z) val v7 = valueHermite(seed, x, y ,z) ``` ### Simplex noise ```kotlin // -- 1d val v0 = simplex(seed, x) // -- 2d val v1 = simplex(seed, x, y) // -- 3d val v2 = simplex(seed, x, y, z) // -- 4d val v3 = simplex(seed, x, y, z, w) ``` ### Cubic noise ```kotlin // -- 1d val v0 = cubic(seed, x, y) val v1 = cubicQuintic(seed, x, y) val v2 = cubicHermite(seed, x, y) // -- 2d val v0 = cubic(seed, x, y) val v1 = cubicQuintic(seed, x, y) val v2 = cubicHermite(seed, x, y) // -- 3d val v3 = cubic(seed, x, y, z) val v4 = cubicQuintic(seed, x, y, z) val v5 = cubicHermite(seed, x, y ,z) ``` ### Fractal noise The library provides 3 functions with which fractal noise can be composed. #### Fractal brownian motion (FBM) ```kotlin // 1d val v0 = fbm(seed, x, ::perlinLinear, octaves, lacunarity, gain) val v1 = fbm(seed, x, ::simplexLinear, octaves, lacunarity, gain) val v2 = fbm(seed, x, ::valueLinear, octaves, lacunarity, gain) // 2d val v3 = fbm(seed, x, y, ::perlinLinear, octaves, lacunarity, gain) val v4 = fbm(seed, x, y, ::simplexLinear, octaves, lacunarity, gain) val v5 = fbm(seed, x, y, ::valueLinear, octaves, lacunarity, gain) // 3d val v6 = fbm(seed, x, y, z, ::perlinLinear, octaves, lacunarity, gain) val v7 = fbm(seed, x, y, z, ::simplexLinear, octaves, lacunarity, gain) val v8 = fbm(seed, x, y, z, ::valueLinear, octaves, lacunarity, gain) ``` #### Rigid ```kotlin // 1d val v0 = rigid(seed, x, ::perlinLinear, octaves, lacunarity, gain) val v1 = rigid(seed, x, ::simplexLinear, octaves, lacunarity, gain) val v2 = rigid(seed, x, ::valueLinear, octaves, lacunarity, gain) // 2d val v2 = rigid(seed, x, y, ::perlinLinear, octaves, lacunarity, gain) val v3 = rigid(seed, x, y, ::simplexLinear, octaves, lacunarity, gain) val v4 = rigid(seed, x, y, ::valueLinear, octaves, lacunarity, gain) // 3d val v3 = rigid(seed, x, y, z, ::perlinLinear, octaves, lacunarity, gain) val v4 = rigid(seed, x, y, z, ::simplexLinear, octaves, lacunarity, gain) val v5 = rigid(seed, x, y, z, ::valueLinear, octaves, lacunarity, gain) ``` #### Billow ```kotlin // 1d val v0 = billow(seed, x, ::perlinLinear, octaves, lacunarity, gain) val v1 = billow(seed, x, ::perlinLinear, octaves, lacunarity, gain) val v2 = billow(seed, x, ::perlinLinear, octaves, lacunarity, gain) // 2d val v3 = billow(seed, x, y, ::perlinLinear, octaves, lacunarity, gain) val v4 = billow(seed, x, y, ::perlinLinear, octaves, lacunarity, gain) val v5 = billow(seed, x, y, ::perlinLinear, octaves, lacunarity, gain) // 3d val v6 = billow(seed, x, y, z, ::perlinLinear, octaves, lacunarity, gain) val v7 = billow(seed, x, y, z, ::perlinLinear, octaves, lacunarity, gain) val v8 = billow(seed, x, y, z, ::perlinLinear, octaves, lacunarity, gain) ``` ## Demos ### DemoFunctionalComposition01 [source code](src/jvmDemo/kotlin/DemoFunctionalComposition01.kt) ![DemoFunctionalComposition01Kt](https://raw.githubusercontent.com/openrndr/orx/media/orx-noise/images/DemoFunctionalComposition01Kt.png) ### DemoGradientPerturb2D [source code](src/jvmDemo/kotlin/DemoGradientPerturb2D.kt) ![DemoGradientPerturb2DKt](https://raw.githubusercontent.com/openrndr/orx/media/orx-noise/images/DemoGradientPerturb2DKt.png) ### DemoGradientPerturb3D [source code](src/jvmDemo/kotlin/DemoGradientPerturb3D.kt) ![DemoGradientPerturb3DKt](https://raw.githubusercontent.com/openrndr/orx/media/orx-noise/images/DemoGradientPerturb3DKt.png) ### DemoNoisesGLSLGui [source code](src/jvmDemo/kotlin/DemoNoisesGLSLGui.kt) ![DemoNoisesGLSLGuiKt](https://raw.githubusercontent.com/openrndr/orx/media/orx-noise/images/DemoNoisesGLSLGuiKt.png) ### DemoNoisesGLSL [source code](src/jvmDemo/kotlin/DemoNoisesGLSL.kt) ![DemoNoisesGLSLKt](https://raw.githubusercontent.com/openrndr/orx/media/orx-noise/images/DemoNoisesGLSLKt.png) ### DemoScatter01 [source code](src/jvmDemo/kotlin/DemoScatter01.kt) ![DemoScatter01Kt](https://raw.githubusercontent.com/openrndr/orx/media/orx-noise/images/DemoScatter01Kt.png) ### DemoSimplex01 [source code](src/jvmDemo/kotlin/DemoSimplex01.kt) ![DemoSimplex01Kt](https://raw.githubusercontent.com/openrndr/orx/media/orx-noise/images/DemoSimplex01Kt.png) ### DemoSimplexGLSL [source code](src/jvmDemo/kotlin/DemoSimplexGLSL.kt) ![DemoSimplexGLSLKt](https://raw.githubusercontent.com/openrndr/orx/media/orx-noise/images/DemoSimplexGLSLKt.png)