From ebdb06b8026ce4735b4d4f809f133123d1bb7885 Mon Sep 17 00:00:00 2001 From: Cory Leach Date: Fri, 20 Jan 2023 22:48:37 -0600 Subject: [PATCH 01/21] Update TextureScale.cs --- Runtime/Utility/TextureScale.cs | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/Runtime/Utility/TextureScale.cs b/Runtime/Utility/TextureScale.cs index f779fa1..5dde641 100644 --- a/Runtime/Utility/TextureScale.cs +++ b/Runtime/Utility/TextureScale.cs @@ -90,7 +90,7 @@ await Task.Run(() => }); } - tex.Resize(newWidth, newHeight); + tex.Reinitialize(newWidth, newHeight); tex.SetPixels(newColors); tex.Apply(); } From 0028928f2a43f8fb54559a17e603df1b8c383299 Mon Sep 17 00:00:00 2001 From: Cory Leach Date: Sat, 21 Jan 2023 00:25:35 -0600 Subject: [PATCH 02/21] Noise Methods by Squirrel Eiserloh --- Runtime/Utility/Noise.cs | 53 ++++- Runtime/Utility/SquirrelEiserloh.cs | 254 +++++++++++++++++++++++ Runtime/Utility/SquirrelEiserloh.cs.meta | 3 + 3 files changed, 303 insertions(+), 7 deletions(-) create mode 100644 Runtime/Utility/SquirrelEiserloh.cs create mode 100644 Runtime/Utility/SquirrelEiserloh.cs.meta diff --git a/Runtime/Utility/Noise.cs b/Runtime/Utility/Noise.cs index cd23b99..44347c5 100644 --- a/Runtime/Utility/Noise.cs +++ b/Runtime/Utility/Noise.cs @@ -19,7 +19,7 @@ public static class Noise public static float[,] GenerateNoiseMap(int mapWidth, int mapHeight, int seed, Vector2 offset, float scale, int octaves = 4, float persistence = 0.5f, float lacunarity = 2f, float[,] falloffMap = null) { var noiseMap = new float[mapWidth, mapHeight]; - + //Generate some random offsets based on the seed var rng = new System.Random(seed); var octaveOffsets = new Vector2[octaves]; @@ -31,7 +31,7 @@ public static class Noise y = rng.Next(-100000, 100000) + offset.y }; } - + scale = Mathf.Max(scale, 0.0000001f); var maxNoiseHeight = float.MinValue; @@ -39,7 +39,7 @@ public static class Noise var halfWidth = mapWidth * 0.5f; var halfHeight = mapHeight * 0.5f; - + for (int y = 0; y < mapHeight; y++) { for (int x = 0; x < mapWidth; x++) @@ -52,7 +52,7 @@ public static class Noise { var sampleX = (x-halfWidth) / scale * frequency + octaveOffsets[i].x; var sampleY = (y-halfHeight) / scale * frequency + octaveOffsets[i].y; - + //Multiply by 2 and subtract one to create values in the range range -1 to 1 //We can come back and normalize values later var perlinValue = Mathf.PerlinNoise(sampleX, sampleY) * 2 - 1; @@ -94,7 +94,7 @@ public static class Noise public static float[,] GenerateFalloffMap(int width, int height, float a = 3f, float b = 2.2f) { float[,] map = new float[width, height]; - + for (int y = 0; y < height; y++) { for (int x = 0; x < width; x++) @@ -114,7 +114,46 @@ private static float FalloffCurve(float value, float a = 3, float b = 2.2f) { return Mathf.Pow(value, a) / (Mathf.Pow(value, a) + Mathf.Pow(b - b * value, a)); } - + + public static float Noise1D_ZeroToOne(int x, uint seed) + { + return SquirrelEiserloh.Get1dNoiseZeroToOne(x, seed); + } + + public static float Noise2D_ZeroToOne(Vector2Int v, uint seed) + { + return SquirrelEiserloh.Get2dNoiseZeroToOne(v.x, v.y, seed); + } + + public static float Noise3D_ZeroToOne(Vector3Int v, uint seed) + { + return SquirrelEiserloh.Get3dNoiseZeroToOne(v.x, v.y, v.z, seed); + } + + public static float Noise4D_ZeroToOne(int x, int y, int z, int w, uint seed) + { + return SquirrelEiserloh.Get4dNoiseZeroToOne(x, y, z, w, seed); + } + + public static float Noise1D_NegOneToOne(int x, uint seed) + { + return SquirrelEiserloh.Get1dNoiseNegOneToOne(x, seed); + } + + public static float Noise2D_NegOneToOne(Vector2Int v, uint seed) + { + return SquirrelEiserloh.Get2dNoiseNegOneToOne(v.x, v.y, seed); + } + + public static float Noise3D_NegOneToOne(Vector3Int v, uint seed) + { + return SquirrelEiserloh.Get3dNoiseNegOneToOne(v.x, v.y, v.z, seed); + } + + public static float Noise4D_NegOneToOne(int x, int y, int z, int w, uint seed) + { + return SquirrelEiserloh.Get4dNoiseNegOneToOne(x, y, z, w, seed); + } + } } - diff --git a/Runtime/Utility/SquirrelEiserloh.cs b/Runtime/Utility/SquirrelEiserloh.cs new file mode 100644 index 0000000..4633f11 --- /dev/null +++ b/Runtime/Utility/SquirrelEiserloh.cs @@ -0,0 +1,254 @@ +///////////////////////////////////////////////////////////////////////////////////////////////// +// SquirrelNoise5 - Squirrel's Raw Noise utilities (version 5) +// +// This code is made available under the Creative Commons attribution 3.0 license (CC-BY-3.0 US): +// Attribution in source code comments (even closed-source/commercial code) is sufficient. +// License summary and text available at: https://creativecommons.org/licenses/by/3.0/us/ +// +// These noise functions were written by Squirrel Eiserloh as a cheap and simple substitute for +// the [sometimes awful] bit-noise sample code functions commonly found on the web, many of which +// are hugely biased or terribly patterned, e.g. having bits which are on (or off) 75% or even +// 100% of the time (or are excessively overkill/slow for our needs, such as MD5 or SHA). +// +// Note: This is work in progress; not all functions have been tested. Use at your own risk. +// Please report any bugs, issues, or bothersome cases to SquirrelEiserloh at gmail.com. +// +// The following functions are all based on a simple bit-noise hash function which returns an +// unsigned integer containing 32 reasonably-well-scrambled bits, based on a given (signed) +// integer input parameter (position/index) and [optional] seed. Kind of like looking up a +// value in an infinitely large [non-existent] table of previously rolled random numbers. +// +// These functions are deterministic and random-access / order-independent (i.e. state-free), +// so they are particularly well-suited for use in smoothed/fractal/simplex/Perlin noise +// functions and out-of-order (or or-demand) procedural content generation (i.e. that mountain +// village is the same whether you generated it first or last, ahead of time or just now). +// +// The N-dimensional variations simply hash their multidimensional coordinates down to a single +// 32-bit index and then proceed as usual, so while results are not unique they should +// (hopefully) not seem locally predictable or repetitive. +// +///////////////////////////////////////////////////////////////////////////////////////////////// + +namespace Gameframe.Procgen +{ + /// + /// Noise-Based RNG + /// Converted Squirrel Eiserloh's C++ to C# + /// Original Here: http://eiserloh.net/noise/SquirrelNoise5.hpp + /// + public static class SquirrelEiserloh + { + const double ONE_OVER_MAX_UINT = (1.0 / uint.MaxValue); + const double ONE_OVER_MAX_INT = (1.0 / int.MaxValue); + + const int PRIME1 = 198491317; // Large prime number with non-boring bits + const int PRIME2 = 6542989; // Large prime number with distinct and non-boring bits + const int PRIME3 = 357239; // Large prime number with distinct and non-boring bits + + //----------------------------------------------------------------------------------------------- + // Fast hash of an int32 into a different (unrecognizable) uint32. + // + // Returns an unsigned integer containing 32 reasonably-well-scrambled bits, based on the hash + // of a given (signed) integer input parameter (position/index) and [optional] seed. Kind of + // like looking up a value in an infinitely large table of previously generated random numbers. + // + // I call this particular approach SquirrelNoise5 (5th iteration of my 1D raw noise function). + // + // Many thanks to Peter Schmidt-Nielsen whose outstanding analysis helped identify a weakness + // in the SquirrelNoise3 code I originally used in my GDC 2017 talk, "Noise-based RNG". + // Version 5 avoids a noise repetition found in version 3 at extremely high position values + // caused by a lack of influence by some of the high input bits onto some of the low output bits. + // + // The revised SquirrelNoise5 function ensures all input bits affect all output bits, and to + // (for me) a statistically acceptable degree. I believe the worst-case here is in the amount + // of influence input position bit #30 has on output noise bit #0 (49.99%, vs. 50% ideal). + // + private static uint SquirrelNoise5(int positionX, uint seed) + { + const uint SQ5_BIT_NOISE1 = 0xd2a80a3f; // 11010010101010000000101000111111 + const uint SQ5_BIT_NOISE2 = 0xa884f197; // 10101000100001001111000110010111 + const uint SQ5_BIT_NOISE3 = 0x6C736F4B; // 01101100011100110110111101001011 + const uint SQ5_BIT_NOISE4 = 0xB79F3ABB; // 10110111100111110011101010111011 + const uint SQ5_BIT_NOISE5 = 0x1b56c4f5; // 00011011010101101100010011110101 + + uint mangledBits = (uint) positionX; + mangledBits *= SQ5_BIT_NOISE1; + mangledBits += seed; + mangledBits ^= (mangledBits >> 9); + mangledBits += SQ5_BIT_NOISE2; + mangledBits ^= (mangledBits >> 11); + mangledBits *= SQ5_BIT_NOISE3; + mangledBits ^= (mangledBits >> 13); + mangledBits += SQ5_BIT_NOISE4; + mangledBits ^= (mangledBits >> 15); + mangledBits *= SQ5_BIT_NOISE5; + mangledBits ^= (mangledBits >> 17); + return mangledBits; + } + + #region Methods Returning UInt + + /// + /// Get 1 dimensional noise RNG + /// + /// index of position in 1d noise map + /// random seed + /// pseudo random uint + public static uint Get1dNoiseUint(int positionX, uint seed) + { + return SquirrelNoise5(positionX, seed); + } + + /// + /// Get 2 dimensional noise RNG + /// + /// index of X position in 2d noise map + /// index of Y position in 2d noise map + /// random seed + /// pseudo random uint + public static uint Get2dNoiseUint(int indexX, int indexY, uint seed) + { + var x = unchecked(indexX + (PRIME1 * indexY)); + return SquirrelNoise5(x, seed); + } + + /// + /// Get 3 dimensional noise RNG + /// + /// index of X position in 3d noise map + /// index of Y position in 3d noise map + /// index of Z position in 3d noise map + /// random seed + /// pseudo random uint + public static uint Get3dNoiseUint(int indexX, int indexY, int indexZ, uint seed) + { + var x = unchecked(indexX + (PRIME1 * indexY) + (PRIME2 * indexZ)); + return SquirrelNoise5(x, seed); + } + + /// + /// Get 4 dimensional noise RNG + /// + /// index of X position in 4d noise map + /// index of Y position in 4d noise map + /// index of Z position in 4d noise map + /// index of T position in 4d noise map + /// random seed + /// pseudo random uint + public static uint Get4dNoiseUint(int indexX, int indexY, int indexZ, int indexT, uint seed) + { + var x = unchecked(indexX + (PRIME1 * indexY) + (PRIME2 * indexZ) + (PRIME3 * indexT)); + return SquirrelNoise5(x, seed); + } + + #endregion + + #region Methods Returning float between 0 and 1 + + /// + /// Get random value between 0 and 1 from a 1d noise map + /// + /// index of X position in noise map + /// random seed + /// random float between 0 and 1 + public static float Get1dNoiseZeroToOne(int index, uint seed) + { + return (float) (ONE_OVER_MAX_UINT * SquirrelNoise5(index, seed)); + } + + /// + /// Get random value between 0 and 1 from a 2d noise map + /// + /// index of X position in noise map + /// index of Y position in noise map + /// random seed + /// random float between 0 and 1 + public static float Get2dNoiseZeroToOne(int indexX, int indexY, uint seed) + { + return (float) (ONE_OVER_MAX_UINT * Get2dNoiseUint(indexX, indexY, seed)); + } + + /// + /// Get random value between 0 and 1 from a 3d noise map + /// + /// index of X position in noise map + /// index of Y position in noise map + /// index of Z position in noise map + /// random seed + /// random float between 0 and 1 + public static float Get3dNoiseZeroToOne(int indexX, int indexY, int indexZ, uint seed) + { + return (float) (ONE_OVER_MAX_UINT * Get3dNoiseUint(indexX, indexY, indexZ, seed)); + } + + /// + /// Get random value between 0 and 1 from a 3d noise map + /// + /// index of X position in noise map + /// index of Y position in noise map + /// index of Z position in noise map + /// index of T position in noise map + /// random seed + /// random float between 0 and 1 + public static float Get4dNoiseZeroToOne(int indexX, int indexY, int indexZ, int indexT, uint seed) + { + return (float) (ONE_OVER_MAX_UINT * Get4dNoiseUint(indexX, indexY, indexZ, indexT, seed)); + } + + #endregion + + #region Methods Returning float between -1 and 1 + + /// + /// Get random value between 0 and 1 from a 1d noise map + /// + /// index of position in noise map + /// random seed + /// random float between -1 and 1 + public static float Get1dNoiseNegOneToOne(int index, uint seed) + { + return (float) (ONE_OVER_MAX_INT * unchecked((int) SquirrelNoise5(index, seed))); + } + + /// + /// Get random value between 0 and 1 from a 2d noise map + /// + /// index of X position in noise map + /// index of Y position in noise map + /// random seed + /// random float between -1 and 1 + public static float Get2dNoiseNegOneToOne(int indexX, int indexY, uint seed) + { + return (float) (ONE_OVER_MAX_INT * unchecked((int) Get2dNoiseUint(indexX, indexY, seed))); + } + + /// + /// Get random value between 0 and 1 from a 3d noise map + /// + /// index of X position in noise map + /// index of Y position in noise map + /// index of Z position in noise map + /// random seed + /// random float between -1 and 1 + public static float Get3dNoiseNegOneToOne(int indexX, int indexY, int indexZ, uint seed) + { + return (float) (ONE_OVER_MAX_INT * unchecked((int) Get3dNoiseUint(indexX, indexY, indexZ, seed))); + } + + /// + /// Get random value between 0 and 1 from a 4d noise map + /// + /// index of X position in noise map + /// index of Y position in noise map + /// index of Z position in noise map + /// index of T position in noise map + /// random seed + /// random float between -1 and 1 + public static float Get4dNoiseNegOneToOne(int indexX, int indexY, int indexZ, int indexT, uint seed) + { + return (float) (ONE_OVER_MAX_INT * unchecked((int) Get4dNoiseUint(indexX, indexY, indexZ, indexT, seed))); + } + + #endregion + } +} diff --git a/Runtime/Utility/SquirrelEiserloh.cs.meta b/Runtime/Utility/SquirrelEiserloh.cs.meta new file mode 100644 index 0000000..2f61449 --- /dev/null +++ b/Runtime/Utility/SquirrelEiserloh.cs.meta @@ -0,0 +1,3 @@ +fileFormatVersion: 2 +guid: f983fbee217a4aafbb6480c507cbf19d +timeCreated: 1674279472 \ No newline at end of file From 06ea7f98f355720d07eb170edcc0d594e108f9f7 Mon Sep 17 00:00:00 2001 From: Cory Leach Date: Sat, 21 Jan 2023 21:39:16 -0600 Subject: [PATCH 03/21] Noise Random Number Generator Implementation --- .../IRandomAccessRandomNumberGenerator.cs | 10 + ...IRandomAccessRandomNumberGenerator.cs.meta | 3 + Runtime/Utility/IRandomNumberGenerator.cs | 23 ++ .../Utility/IRandomNumberGenerator.cs.meta | 3 + Runtime/Utility/NoiseRng.cs | 197 ++++++++++++++++++ Runtime/Utility/NoiseRng.cs.meta | 11 + .../Visualizers/RandomDirectionVisualizer.cs | 51 +++++ .../RandomDirectionVisualizer.cs.meta | 11 + Tests/Runtime/RuntimeTests.cs | 72 ++++++- 9 files changed, 370 insertions(+), 11 deletions(-) create mode 100644 Runtime/Utility/IRandomAccessRandomNumberGenerator.cs create mode 100644 Runtime/Utility/IRandomAccessRandomNumberGenerator.cs.meta create mode 100644 Runtime/Utility/IRandomNumberGenerator.cs create mode 100644 Runtime/Utility/IRandomNumberGenerator.cs.meta create mode 100644 Runtime/Utility/NoiseRng.cs create mode 100644 Runtime/Utility/NoiseRng.cs.meta create mode 100644 Runtime/Visualizers/RandomDirectionVisualizer.cs create mode 100644 Runtime/Visualizers/RandomDirectionVisualizer.cs.meta diff --git a/Runtime/Utility/IRandomAccessRandomNumberGenerator.cs b/Runtime/Utility/IRandomAccessRandomNumberGenerator.cs new file mode 100644 index 0000000..417ab62 --- /dev/null +++ b/Runtime/Utility/IRandomAccessRandomNumberGenerator.cs @@ -0,0 +1,10 @@ +namespace Gameframe.Procgen +{ + /// + /// Random number generator that provides random access to any position in its random number sequence + /// + public interface IRandomAccessRandomNumberGenerator : IRandomNumberGenerator + { + int Position { get; set; } + } +} \ No newline at end of file diff --git a/Runtime/Utility/IRandomAccessRandomNumberGenerator.cs.meta b/Runtime/Utility/IRandomAccessRandomNumberGenerator.cs.meta new file mode 100644 index 0000000..4b2e271 --- /dev/null +++ b/Runtime/Utility/IRandomAccessRandomNumberGenerator.cs.meta @@ -0,0 +1,3 @@ +fileFormatVersion: 2 +guid: 619c45b638b94efaa5933e7e1158c03c +timeCreated: 1674358732 \ No newline at end of file diff --git a/Runtime/Utility/IRandomNumberGenerator.cs b/Runtime/Utility/IRandomNumberGenerator.cs new file mode 100644 index 0000000..fd500ee --- /dev/null +++ b/Runtime/Utility/IRandomNumberGenerator.cs @@ -0,0 +1,23 @@ +using UnityEngine; + +namespace Gameframe.Procgen +{ + /// + /// Random number generator that provides lots of different convenience methods relevant for game development + /// + public interface IRandomNumberGenerator + { + uint Seed { get; } + uint NextUint(); + ushort NextUshort(); + byte NextByte(); + int NextInt(); + short NextShort(); + float NextFloatZeroToOne(); + float NextFloatNegOneToOne(); + float NextFloatRange(float min, float max); + bool RollChance(float probabilityOfReturningTrue); + Vector2 NextDirection2D(); + Vector3 NextDirection3D(); + } +} \ No newline at end of file diff --git a/Runtime/Utility/IRandomNumberGenerator.cs.meta b/Runtime/Utility/IRandomNumberGenerator.cs.meta new file mode 100644 index 0000000..962d967 --- /dev/null +++ b/Runtime/Utility/IRandomNumberGenerator.cs.meta @@ -0,0 +1,3 @@ +fileFormatVersion: 2 +guid: ab5ba18264494b7c9f51f030f139f6a0 +timeCreated: 1674358727 \ No newline at end of file diff --git a/Runtime/Utility/NoiseRng.cs b/Runtime/Utility/NoiseRng.cs new file mode 100644 index 0000000..27406cb --- /dev/null +++ b/Runtime/Utility/NoiseRng.cs @@ -0,0 +1,197 @@ +using System; +using UnityEngine; + +namespace Gameframe.Procgen +{ + /// + /// Noise based random number generator + /// Allows for fast random-access within a sequence of generated numbers + /// Based on GDC 2017 talk and code by Squirrel Eiserloh + /// + public class NoiseRng : IRandomAccessRandomNumberGenerator + { + private uint seed; + private int position; + + /// + /// Initialize random number generator with a given seed + /// + /// see for the random number generator + public NoiseRng(uint seed) + { + this.seed = seed; + position = 0; + } + + /// + /// Seeds using DateTime.UtcNow.Ticks + /// + public NoiseRng() + { + this.seed = (uint)DateTime.UtcNow.Ticks; + position = 0; + } + + /// + /// Current position in the number generator sequence + /// + public int Position + { + get => position; + set => position = value; + } + + /// + /// Current Seed + /// + public uint Seed => seed; + + /// + /// Reseed the number generator with a new seed and position + /// + /// seed + /// position in number generation sequence + public void ReSeed(uint seed, int position = 0) + { + this.seed = seed; + this.position = position; + } + + #region Rand Methods + + /// + /// Next random unsigned integer + /// + /// next random unsigned integer in the current sequence + public uint NextUint() + { + return SquirrelEiserloh.Get1dNoiseUint(position++, seed); + } + + /// + /// Next random unsigned short + /// + /// next random unsigned short in the current sequence + public ushort NextUshort() + { + return unchecked((ushort)NextUint()); + } + + /// + /// Next random byte + /// + /// next random byte in the current sequence + public byte NextByte() + { + return unchecked((byte)NextUint()); + } + + /// + /// Next random integer + /// + /// next random integer in the current sequence + public int NextInt() + { + return unchecked((int)NextUint()); + } + + /// + /// Next random short + /// + /// next random short in the current sequence + public short NextShort() + { + return unchecked((short)NextUint()); + } + + /// + /// Next random float in the range 0 to 1 + /// + /// Next random float in the range 0 to 1 (inclusive, inclusive) + public float NextFloatZeroToOne() + { + return SquirrelEiserloh.Get1dNoiseZeroToOne(position++, seed); + } + + /// + /// Next random float in the range -1 to 1 + /// + /// Next random float in the range -1 to 1 (inclusive, inclusive) + public float NextFloatNegOneToOne() + { + return SquirrelEiserloh.Get1dNoiseNegOneToOne(position++, seed); + } + + /// + /// Next random float in the range min to max + /// + /// min return value + /// max return value + /// Next random float in the range min to max (inclusive, inclusive) + public float NextFloatRange(float min, float max) + { + var v= SquirrelEiserloh.Get1dNoiseZeroToOne(position++, seed); + return min + (max - min) * v; + } + + /// + /// Next random integer in the range min to max + /// + /// min return value + /// max return value + /// Next random int in the range min to max (inclusive, inclusive) + public int NextIntRange(int min, int max) + { + return min + (int)((1 + max - min) * NextFloatZeroToOne()); + } + + /// + /// Rolls for a true for false with the given probability + /// + /// probably that this function will return true + /// true or false + public bool RollChance(float probabilityOfReturningTrue) + { + var v= SquirrelEiserloh.Get1dNoiseZeroToOne(position++, seed); + return v < probabilityOfReturningTrue; + } + + /// + /// Next uniformly distributed randomized 2d direction + /// + /// Random Normalized Vector2 + public Vector2 NextDirection2D() + { + var theta = NextFloatRange(0, 2*Mathf.PI); + var v = new Vector2 + { + x = Mathf.Cos(theta), + y = Mathf.Sin(theta) + }; + return v; + } + + /// + /// Next uniformly distributed randomized 3d direction + /// + /// Random Normalized Vector3 + public Vector3 NextDirection3D() + { + //Random Polar coordinates with uniform distribution + var phi = NextFloatRange(0, 2*Mathf.PI); + var theta = Mathf.Acos(NextFloatNegOneToOne()); + + var v = new Vector3 + { + x = Mathf.Cos(phi) * Mathf.Sin(theta), + y = Mathf.Sin(phi) * Mathf.Sin(theta), + z = Mathf.Cos(theta) + }; + + return v; + } + + #endregion + + } +} diff --git a/Runtime/Utility/NoiseRng.cs.meta b/Runtime/Utility/NoiseRng.cs.meta new file mode 100644 index 0000000..ebbe2a3 --- /dev/null +++ b/Runtime/Utility/NoiseRng.cs.meta @@ -0,0 +1,11 @@ +fileFormatVersion: 2 +guid: 13f6cc4fe77524196b14fb2e27d94982 +MonoImporter: + externalObjects: {} + serializedVersion: 2 + defaultReferences: [] + executionOrder: 0 + icon: {instanceID: 0} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Runtime/Visualizers/RandomDirectionVisualizer.cs b/Runtime/Visualizers/RandomDirectionVisualizer.cs new file mode 100644 index 0000000..cee17ca --- /dev/null +++ b/Runtime/Visualizers/RandomDirectionVisualizer.cs @@ -0,0 +1,51 @@ +using System; +using System.Collections; +using System.Collections.Generic; +using UnityEngine; +using UnityEngine.Serialization; + +namespace Gameframe.Procgen +{ + public class RandomDirectionVisualizer : MonoBehaviour + { + public DirectionDimensions dimensions = DirectionDimensions.Dir3D; + + public uint seed = 0; + + public int pointCount = 200; + + public float sphereRadius = 10; + public float pointRadius = 0.1f; + + public Color sphereColor = Color.white; + public Color pointColor = Color.white; + + private NoiseRng rand; + + public enum DirectionDimensions + { + Dir2D, + Dir3D, + }; + + private void OnDrawGizmos() + { + if (rand == null) + { + rand = new NoiseRng(seed); + } + + rand.ReSeed(seed, 0); + + Gizmos.color = sphereColor; + Gizmos.DrawSphere(transform.position, sphereRadius); + + Gizmos.color = pointColor; + for (int i = 0; i < pointCount; i++) + { + var dir = dimensions == DirectionDimensions.Dir3D ? rand.NextDirection3D() : (Vector3)rand.NextDirection2D(); + Gizmos.DrawSphere(transform.position + dir * sphereRadius, pointRadius); + } + } + } +} diff --git a/Runtime/Visualizers/RandomDirectionVisualizer.cs.meta b/Runtime/Visualizers/RandomDirectionVisualizer.cs.meta new file mode 100644 index 0000000..0493dec --- /dev/null +++ b/Runtime/Visualizers/RandomDirectionVisualizer.cs.meta @@ -0,0 +1,11 @@ +fileFormatVersion: 2 +guid: 7deaa4562128d4036b91356760a6fbb2 +MonoImporter: + externalObjects: {} + serializedVersion: 2 + defaultReferences: [] + executionOrder: 0 + icon: {instanceID: 0} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Tests/Runtime/RuntimeTests.cs b/Tests/Runtime/RuntimeTests.cs index 92e6908..002e549 100644 --- a/Tests/Runtime/RuntimeTests.cs +++ b/Tests/Runtime/RuntimeTests.cs @@ -1,18 +1,68 @@ -using System.Collections; -using System.Collections.Generic; +using System; +using NUnit.Framework; using UnityEngine; -public class RuntimeTests : MonoBehaviour +namespace Gameframe.Procgen.Tests.Runtime { - // Start is called before the first frame update - void Start() + public class RuntimeTests { - - } + [Test] + public void NoiseRNG_IntRange() + { + var noiseRng = new NoiseRng((uint)DateTime.UtcNow.Ticks); - // Update is called once per frame - void Update() - { - + const int maxRange = 2; + var totals = new int[maxRange+1]; + + for (var i = 0; i < totals.Length; i++) + { + totals[i] = 0; + } + + const int count = 200; + for (var i = 0; i < count; i++) + { + var next = noiseRng.NextIntRange(0, maxRange); + totals[next] += 1; + } + + for (var i = 0; i < totals.Length; i++) + { + Debug.Log($"{i} : {totals[i]} / {count} = {(totals[i] / (float)count)}"); + } + } + + [Test] + public void NoiseRNG_RollChance_33percent() + { + var noiseRng = new NoiseRng((uint)DateTime.UtcNow.Ticks); + + const float probability = 0.33f; + var totals = new int[2]; + + for (var i = 0; i < totals.Length; i++) + { + totals[i] = 0; + } + + const int count = 200; + for (var i = 0; i < count; i++) + { + var next = noiseRng.RollChance(probability); + if (next) + { + totals[1] += 1; + } + else + { + totals[0] += 1; + } + } + + for (var i = 0; i < totals.Length; i++) + { + Debug.Log($"{(i == 1 ? "true" : "false")} : {totals[i]} / {count} = {(totals[i] / (float)count)}"); + } + } } } From c7e045520abe0057d176fcf34e0166a134910c78 Mon Sep 17 00:00:00 2001 From: Cory Leach Date: Sat, 21 Jan 2023 22:49:47 -0600 Subject: [PATCH 04/21] Update RandomDirectionVisualizer.cs --- Runtime/Visualizers/RandomDirectionVisualizer.cs | 7 +++---- 1 file changed, 3 insertions(+), 4 deletions(-) diff --git a/Runtime/Visualizers/RandomDirectionVisualizer.cs b/Runtime/Visualizers/RandomDirectionVisualizer.cs index cee17ca..7fd7408 100644 --- a/Runtime/Visualizers/RandomDirectionVisualizer.cs +++ b/Runtime/Visualizers/RandomDirectionVisualizer.cs @@ -1,11 +1,10 @@ -using System; -using System.Collections; -using System.Collections.Generic; using UnityEngine; -using UnityEngine.Serialization; namespace Gameframe.Procgen { + /// + /// This component was written to test the NoiseRng's random direction for uniform distribution + /// public class RandomDirectionVisualizer : MonoBehaviour { public DirectionDimensions dimensions = DirectionDimensions.Dir3D; From 3ef9d38ad8bdca363854ea89e7306d3df8c10027 Mon Sep 17 00:00:00 2001 From: Cory Leach Date: Sun, 22 Jan 2023 00:21:35 -0600 Subject: [PATCH 05/21] Smooth noise methods --- Runtime/Utility/SmoothNoise.cs | 85 +++++++++++++++++++++++++++++ Runtime/Utility/SmoothNoise.cs.meta | 11 ++++ 2 files changed, 96 insertions(+) create mode 100644 Runtime/Utility/SmoothNoise.cs create mode 100644 Runtime/Utility/SmoothNoise.cs.meta diff --git a/Runtime/Utility/SmoothNoise.cs b/Runtime/Utility/SmoothNoise.cs new file mode 100644 index 0000000..dc5d037 --- /dev/null +++ b/Runtime/Utility/SmoothNoise.cs @@ -0,0 +1,85 @@ +using UnityEngine; + +namespace Gameframe.Procgen +{ + public static class SmoothNoise + { + public static float Value1d(float x, uint seed) + { + var x0 = Mathf.FloorToInt(x); + var x1 = x0 + 1; + + var t = x - x0; + + var v0 = SquirrelEiserloh.Get1dNoiseZeroToOne(x0, seed); + var v1 = SquirrelEiserloh.Get1dNoiseZeroToOne(x1, seed); + + return Mathf.Lerp(v0, v1, t); + } + + public static float Value2d(Vector2 v, uint seed) + { + var x0 = (int) v.x; + var y0 = (int) v.y; + var x1 = x0 + 1; + var y1 = y0 + 1; + + var tx = v.x - x0; + var ty = v.y - y0; + + var v00 = SquirrelEiserloh.Get2dNoiseZeroToOne(x0, y0, seed); + var v01 = SquirrelEiserloh.Get2dNoiseZeroToOne(x0, y1, seed); + + var v10 = SquirrelEiserloh.Get2dNoiseZeroToOne(x1, y0, seed); + var v11 = SquirrelEiserloh.Get2dNoiseZeroToOne(x1, y1, seed); + + var edge1 = Mathf.Lerp(v00, v10, tx); + var edge2 = Mathf.Lerp(v01, v11, tx); + + return Mathf.Lerp(edge1, edge2, ty); + } + + public static float Value3d(Vector3 v, uint seed) + { + var x0 = (int) v.x; + var y0 = (int) v.y; + var z0 = (int) v.z; + + var x1 = x0 + 1; + var y1 = y0 + 1; + var z1 = z0 + 1; + + var tx = v.x - x0; + var ty = v.y - y0; + var tz = v.z - z0; + + var v000 = SquirrelEiserloh.Get3dNoiseZeroToOne(x0, y0, z0, seed); + var v010 = SquirrelEiserloh.Get3dNoiseZeroToOne(x0, y1, z0, seed); + var v001 = SquirrelEiserloh.Get3dNoiseZeroToOne(x0, y0, z1, seed); + var v011 = SquirrelEiserloh.Get3dNoiseZeroToOne(x0, y1, z1, seed); + + var v100 = SquirrelEiserloh.Get3dNoiseZeroToOne(x1, y0, z0, seed); + var v110 = SquirrelEiserloh.Get3dNoiseZeroToOne(x1, y1, z0, seed); + var v101 = SquirrelEiserloh.Get3dNoiseZeroToOne(x1, y0, z1, seed); + var v111 = SquirrelEiserloh.Get3dNoiseZeroToOne(x1, y1, z1, seed); + + //Lerp along all edges along the x axis + var xEdge1 = Mathf.Lerp(v000, v100, tx); + var xEdge2 = Mathf.Lerp(v010, v110, tx); + var xEdge3 = Mathf.Lerp(v001, v101, tx); + var xEdge4 = Mathf.Lerp(v011, v111, tx); + + //Lerp over y + var yEdge1 = Mathf.Lerp(xEdge1, xEdge2, ty); + var yEdge2 = Mathf.Lerp(xEdge3, xEdge4, ty); + + //Finally lerp over z + return Mathf.Lerp(yEdge1, yEdge2, tz); + } + + private static float Smooth(float t) + { + return t * t * t * (t * (t * 6f - 15f) + 10f); + } + } +} diff --git a/Runtime/Utility/SmoothNoise.cs.meta b/Runtime/Utility/SmoothNoise.cs.meta new file mode 100644 index 0000000..850830f --- /dev/null +++ b/Runtime/Utility/SmoothNoise.cs.meta @@ -0,0 +1,11 @@ +fileFormatVersion: 2 +guid: 3f52711fd809f464f878fdcd9060546f +MonoImporter: + externalObjects: {} + serializedVersion: 2 + defaultReferences: [] + executionOrder: 0 + icon: {instanceID: 0} + userData: + assetBundleName: + assetBundleVariant: From 6dc301a9c15a4e1c2f1b483532caaa2c7cb2a768 Mon Sep 17 00:00:00 2001 From: Cory Leach Date: Sun, 22 Jan 2023 19:17:09 -0600 Subject: [PATCH 06/21] Perlin Noise --- Runtime/ScriptableObjects.meta | 8 + Runtime/ScriptableObjects/NoiseGenerator.cs | 100 +++++ .../ScriptableObjects/NoiseGenerator.cs.meta | 11 + .../ScriptableObjects/PerlinNoiseGenerator.cs | 52 +++ .../PerlinNoiseGenerator.cs.meta | 3 + Runtime/Utility/PerlinGradientNoise.cs | 385 ++++++++++++++++++ Runtime/Utility/PerlinGradientNoise.cs.meta | 3 + Runtime/Utility/SmoothNoise.cs | 85 ---- Runtime/Utility/SmoothStep.cs | 32 ++ Runtime/Utility/SmoothStep.cs.meta | 3 + Runtime/Utility/TextureUtility.cs | 9 +- Runtime/Utility/ValueNoise.cs | 223 ++++++++++ ...SmoothNoise.cs.meta => ValueNoise.cs.meta} | 0 Runtime/Utility/Voronoi.cs | 5 +- Runtime/Visualizers/NoiseVisualizer2D.cs | 172 ++++++++ Runtime/Visualizers/NoiseVisualizer2D.cs.meta | 11 + 16 files changed, 1015 insertions(+), 87 deletions(-) create mode 100644 Runtime/ScriptableObjects.meta create mode 100644 Runtime/ScriptableObjects/NoiseGenerator.cs create mode 100644 Runtime/ScriptableObjects/NoiseGenerator.cs.meta create mode 100644 Runtime/ScriptableObjects/PerlinNoiseGenerator.cs create mode 100644 Runtime/ScriptableObjects/PerlinNoiseGenerator.cs.meta create mode 100644 Runtime/Utility/PerlinGradientNoise.cs create mode 100644 Runtime/Utility/PerlinGradientNoise.cs.meta delete mode 100644 Runtime/Utility/SmoothNoise.cs create mode 100644 Runtime/Utility/SmoothStep.cs create mode 100644 Runtime/Utility/SmoothStep.cs.meta create mode 100644 Runtime/Utility/ValueNoise.cs rename Runtime/Utility/{SmoothNoise.cs.meta => ValueNoise.cs.meta} (100%) create mode 100644 Runtime/Visualizers/NoiseVisualizer2D.cs create mode 100644 Runtime/Visualizers/NoiseVisualizer2D.cs.meta diff --git a/Runtime/ScriptableObjects.meta b/Runtime/ScriptableObjects.meta new file mode 100644 index 0000000..1d9becb --- /dev/null +++ b/Runtime/ScriptableObjects.meta @@ -0,0 +1,8 @@ +fileFormatVersion: 2 +guid: a1cd3afcf916a4928984858b3d4ba7f8 +folderAsset: yes +DefaultImporter: + externalObjects: {} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Runtime/ScriptableObjects/NoiseGenerator.cs b/Runtime/ScriptableObjects/NoiseGenerator.cs new file mode 100644 index 0000000..5ab4f58 --- /dev/null +++ b/Runtime/ScriptableObjects/NoiseGenerator.cs @@ -0,0 +1,100 @@ +using UnityEngine; + +namespace Gameframe.Procgen +{ + [CreateAssetMenu(menuName = "Gameframe/Procgen/NoiseGenerator/BasicNoise")] + public class NoiseGenerator : ScriptableObject + { + [SerializeField] + private uint seed; + + [SerializeField] + private float frequency = 1.0f; + + public uint Seed + { + get => seed; + set => seed = value; + } + + public float Frequency + { + get => frequency; + set => frequency = value; + } + + public float Value1D(float x) + { + return ValueNoise.Noise1D(x*frequency, seed); + } + + public float Value2D(float x, float y) + { + return ValueNoise.Noise2D(x*frequency, y*frequency, seed); + } + + public float Value3D(float x, float y, float z) + { + return ValueNoise.Noise3D(x*frequency, y*frequency, z*frequency, seed); + } + + public float Value2D(Vector2 v) + { + return Value2D(v.x, v.y); + } + + public float Value3D(Vector3 v) + { + return Value3D(v.x, v.y, v.z); + } + + } + + public class SimplexNoiseGenerator : ScriptableObject + { + + /// + /// Map coordinate to position in a 1d simplex lattice + /// + /// + /// + private static float SkewCoordinate1d(float x) + { + const float f = 0.41421356237f; // (Mathf.Sqrt(1 + 1) - 1) / 1; + var skewed = 0f; + skewed = x + x * f; + return skewed; + } + + /// + /// Map coordinate to position in a 2d simplex lattice + /// + /// + /// + private static Vector2 SkewCoordinate2d(Vector2 v) + { + const float f = 0.36602540378f; // (Mathf.Sqrt(2 + 1) - 1) / 2; + var skewed = Vector2.zero; + skewed.x = v.x + (v.x + v.y) * f; + skewed.y = v.y + (v.x + v.y) * f; + return skewed; + } + + /// + /// Map coordinate to position in 3d simplex lattice + /// + /// + /// + private static Vector3 SkewCoordinate3d(Vector3 v) + { + const float f = 0.33333333333f; // (Mathf.Sqrt(3 + 1) - 1) / 3; + var skewed = Vector3.zero; + var sum = (v.x + v.y + v.z) * f; + skewed.x = v.x + sum; + skewed.y = v.y + sum; + skewed.z = v.z + sum; + return skewed; + } + + } +} diff --git a/Runtime/ScriptableObjects/NoiseGenerator.cs.meta b/Runtime/ScriptableObjects/NoiseGenerator.cs.meta new file mode 100644 index 0000000..d6911c0 --- /dev/null +++ b/Runtime/ScriptableObjects/NoiseGenerator.cs.meta @@ -0,0 +1,11 @@ +fileFormatVersion: 2 +guid: 489d50b998ad146b7ad911df8d43024a +MonoImporter: + externalObjects: {} + serializedVersion: 2 + defaultReferences: [] + executionOrder: 0 + icon: {instanceID: 0} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Runtime/ScriptableObjects/PerlinNoiseGenerator.cs b/Runtime/ScriptableObjects/PerlinNoiseGenerator.cs new file mode 100644 index 0000000..0929299 --- /dev/null +++ b/Runtime/ScriptableObjects/PerlinNoiseGenerator.cs @@ -0,0 +1,52 @@ +using UnityEngine; + +namespace Gameframe.Procgen +{ + [CreateAssetMenu(menuName = "Gameframe/Procgen/NoiseGenerator/PerlinNoise")] + public class PerlinNoiseGenerator : ScriptableObject + { + [SerializeField] + private uint seed; + + [SerializeField] + private float frequency = 1.0f; + + public uint Seed + { + get => seed; + set => seed = value; + } + + public float Frequency + { + get => frequency; + set => frequency = value; + } + + public float Value1D(float x) + { + return ValueNoise.Noise1D(x*frequency, seed); + } + + public float Value2D(float x, float y) + { + return ValueNoise.Noise2D(x*frequency, y*frequency, seed); + } + + public float Value3D(float x, float y, float z) + { + return ValueNoise.Noise3D(x*frequency, y*frequency, z*frequency, seed); + } + + public float Value2D(Vector2 v) + { + return Value2D(v.x, v.y); + } + + public float Value3D(Vector3 v) + { + return Value3D(v.x, v.y, v.z); + } + + } +} diff --git a/Runtime/ScriptableObjects/PerlinNoiseGenerator.cs.meta b/Runtime/ScriptableObjects/PerlinNoiseGenerator.cs.meta new file mode 100644 index 0000000..001cc68 --- /dev/null +++ b/Runtime/ScriptableObjects/PerlinNoiseGenerator.cs.meta @@ -0,0 +1,3 @@ +fileFormatVersion: 2 +guid: 3601a2fc081e4cdcae07386eb544eb86 +timeCreated: 1674424643 \ No newline at end of file diff --git a/Runtime/Utility/PerlinGradientNoise.cs b/Runtime/Utility/PerlinGradientNoise.cs new file mode 100644 index 0000000..45a12ed --- /dev/null +++ b/Runtime/Utility/PerlinGradientNoise.cs @@ -0,0 +1,385 @@ +using UnityEngine; + +namespace Gameframe.Procgen +{ + /// + /// Stateless and random perlin noise generation methods + /// Perlin noise has a smoother and natural gradient appearance when visualized + /// Includes methods for fractal generation + /// + public static class PerlinGradientNoise + { + private static readonly float Sqr2 = Mathf.Sqrt(2f); + + private const int GradientsMask1D = 1; + private static readonly float[] Gradients1D = new[] {1f, -1f}; + + private const int GradientsMask2D = 7; + + private static readonly Vector2[] Gradients2D = + { + new Vector2(1f, 0f), + new Vector2(-1f, 0f), + new Vector2(0f, 1f), + new Vector2(0f, -1f), + new Vector2(1f, 1f).normalized, + new Vector2(-1f, 1f).normalized, + new Vector2(1f, -1f).normalized, + new Vector2(-1f, -1f).normalized + }; + + private const int GradientsMask3D = 15; + + private static readonly Vector3[] Gradients3D = + { + new Vector3(1f, 1f, 0f), + new Vector3(-1f, 1f, 0f), + new Vector3(1f, -1f, 0f), + new Vector3(-1f, -1f, 0f), + new Vector3(1f, 0f, 1f), + new Vector3(-1f, 0f, 1f), + new Vector3(1f, 0f, -1f), + new Vector3(-1f, 0f, -1f), + new Vector3(0f, 1f, 1f), + new Vector3(0f, -1f, 1f), + new Vector3(0f, 1f, -1f), + new Vector3(0f, -1f, -1f), + + new Vector3(1f, 1f, 0f), + new Vector3(-1f, 1f, 0f), + new Vector3(0f, -1f, 1f), + new Vector3(0f, -1f, -1f) + }; + + #region Fractal Noise + + /// + /// 1 dimensional fractal perlin noise + /// + /// x position + /// random number generator seed + /// How often the noise space repeats. Large numbers mean higher resolution. + /// Number of noise iterations + /// frequency is multiplied by this number ever octave + /// measure of how much each octave will contribute. Values gt 1 make each octave larger. Values gt 0 but lt 1 make each successive octave contribution smaller. + /// Random value between 0 and 1 + public static float Fractal1D(float x, uint seed, float frequency, int octaves, float lacunarity = 2f, + float persistence = 0.5f) + { + var sum = Noise1D(x * frequency, seed); + var amplitude = 1f; + var range = 1f; + for (var i = 1; i < octaves; i++) + { + frequency *= lacunarity; + amplitude *= persistence; + range += amplitude; + sum += Noise1D(x * frequency, seed) * amplitude; + } + + return sum / range; + } + + /// + /// 2 dimensional fractal perlin noise + /// + /// x position + /// y position + /// random number generator seed + /// How often the noise space repeats. Large numbers mean higher resolution. + /// Number of noise iterations + /// frequency is multiplied by this number ever octave + /// measure of how much each octave will contribute. Values gt 1 make each octave larger. Values gt 0 but lt 1 make each successive octave contribution smaller. + /// Random value between 0 and 1 + public static float Fractal2D(float x, float y, uint seed, float frequency, int octaves, + float lacunarity = 2f, float persistence = 0.5f) + { + var sum = Noise2D(x * frequency, y * frequency, seed); + var amplitude = 1f; + var range = 1f; + for (var i = 1; i < octaves; i++) + { + frequency *= lacunarity; + amplitude *= persistence; + range += amplitude; + sum += Noise2D(x * frequency, y * frequency, seed) * amplitude; + } + + return sum / range; + } + + /// + /// 2 dimensional fractal perlin noise + /// + /// Vector2 position + /// random number generator seed + /// How often the noise space repeats. Large numbers mean higher resolution. + /// Number of noise iterations + /// frequency is multiplied by this number ever octave + /// measure of how much each octave will contribute. Values gt 1 make each octave larger. Values gt 0 but lt 1 make each successive octave contribution smaller. + /// Random value between 0 and 1 + public static float Fractal2D(Vector2 position, uint seed, float frequency, int octaves, float lacunarity = 2, + float persistence = 0.5f) + { + return Fractal2D(position.x, position.y, seed, frequency, octaves, lacunarity, persistence); + } + + /// + /// 3 dimensional fractal perlin noise + /// + /// x position + /// y position + /// z position + /// random number generator seed + /// How often the noise space repeats. Large numbers mean higher resolution. + /// Number of noise iterations + /// frequency is multiplied by this number ever octave + /// measure of how much each octave will contribute. Values gt 1 make each octave larger. Values gt 0 but lt 1 make each successive octave contribution smaller. + /// Random value between 0 and 1 + public static float Fractal3D(float x, float y, float z, uint seed, float frequency, int octaves, float lacunarity = 2f, float persistence = 0.5f) + { + var sum = Noise3D(x * frequency, y * frequency, z * frequency, seed); + var amplitude = 1f; + var range = 1f; + for (var i = 1; i < octaves; i++) + { + frequency *= lacunarity; + amplitude *= persistence; + range += amplitude; + sum += Noise3D(x * frequency, y * frequency, z * frequency, seed) * amplitude; + } + + return sum / range; + } + + /// + /// 3 dimensional fractal perlin noise + /// + /// Vector3 position + /// random number generator seed + /// How often the noise space repeats. Large numbers mean higher resolution. + /// Number of noise iterations + /// frequency is multiplied by this number ever octave + /// measure of how much each octave will contribute. Values gt 1 make each octave larger. Values gt 0 but lt 1 make each successive octave contribution smaller. + /// Random value between 0 and 1 + public static float Fractal3D(Vector3 position, uint seed, float frequency, int octaves, float lacunarity = 2, + float persistence = 0.5f) + { + return Fractal3D(position.x, position.y, position.z, seed, frequency, octaves, lacunarity, persistence); + } + + #endregion + + #region Gradient Noise + + /// + /// 1 dimensional perlin noise + /// + /// x position + /// rng seed + /// value between 0 and 1 (inclusive) + public static float Noise1D(float x, uint seed) + { + var x0 = Mathf.FloorToInt(x); + var x1 = x0 + 1; + + var t0 = x - x0; + var t1 = t0 - 1f; + + var g0 = HashToGradient1D(Hash1D(x0, seed)); + var g1 = HashToGradient1D(Hash1D(x1, seed)); + + var v0 = g0 * t0; + var v1 = g1 * t1; + + var t = Smooth(t0); + var v = Mathf.Lerp(v0, v1, t) * 2f; + return v * 0.5f + 0.5f; //Remap from -1 to 1, to 0 to 1 + } + + /// + /// 2 dimensional perlin noise + /// + /// x position + /// y position + /// rng seed + /// value between 0 and 1 (inclusive) + public static float Noise2D(float x, float y, uint seed) + { + var x0 = Mathf.FloorToInt(x); + var x1 = x0 + 1; + + var y0 = Mathf.FloorToInt(y); + var y1 = y0 + 1; + + var tx0 = x - x0; + var tx1 = tx0 - 1f; + + var ty0 = y - y0; + var ty1 = ty0 - 1f; + + var g00 = HashToGradient2D(Hash2D(x0, y0, seed)); + var g10 = HashToGradient2D(Hash2D(x1, y0, seed)); + var g01 = HashToGradient2D(Hash2D(x0, y1, seed)); + var g11 = HashToGradient2D(Hash2D(x1, y1, seed)); + + var v00 = Dot2D(g00, tx0, ty0); + var v10 = Dot2D(g10, tx1, ty0); + var v01 = Dot2D(g01, tx0, ty1); + var v11 = Dot2D(g11, tx1, ty1); + + var tx = Smooth(tx0); + var ty = Smooth(ty0); + + var v0 = Mathf.Lerp(v00, v10, tx); + var v1 = Mathf.Lerp(v01, v11, tx); + var v = Mathf.Lerp(v0, v1, ty) * Sqr2; + return v * 0.5f + 0.5f; //Remap from -1 to 1, to 0 to 1 + } + + /// + /// 2 dimensional perlin noise + /// + /// Vector2 position + /// rng seed + /// value between 0 and 1 (inclusive) + public static float Noise2D(Vector2 position, uint seed) + { + return Noise2D(position.x, position.y, seed); + } + + /// + /// 3 dimensional perlin noise + /// + /// x position + /// y position + /// z position + /// rng seed + /// value between 0 and 1 (inclusive) + public static float Noise3D(float x, float y, float z, uint seed) + { + var x0 = Mathf.FloorToInt(x); + var x1 = x0 + 1; + + var y0 = Mathf.FloorToInt(y); + var y1 = y0 + 1; + + var z0 = Mathf.FloorToInt(z); + var z1 = z0 + 1; + + var tx0 = x - x0; + var tx1 = tx0 - 1f; + + var ty0 = y - y0; + var ty1 = ty0 - 1f; + + var tz0 = z - z0; + var tz1 = tz0 - 1f; + + var h000 = Hash3D(x0, y0, z0, seed); + var h010 = Hash3D(x0, y1, z0, seed); + var h001 = Hash3D(x0, y0, z1, seed); + var h011 = Hash3D(x0, y1, z1, seed); + var h100 = Hash3D(x1, y0, z0, seed); + var h110 = Hash3D(x1, y1, z0, seed); + var h101 = Hash3D(x1, y0, z1, seed); + var h111 = Hash3D(x1, y1, z1, seed); + + var g000 = HashToGradient3D(h000); + var g100 = HashToGradient3D(h100); + var g010 = HashToGradient3D(h010); + var g110 = HashToGradient3D(h110); + var g001 = HashToGradient3D(h001); + var g101 = HashToGradient3D(h101); + var g011 = HashToGradient3D(h011); + var g111 = HashToGradient3D(h111); + + var v000 = Dot3D(g000, tx0, ty0, tz0); + var v100 = Dot3D(g100, tx1, ty0, tz0); + var v010 = Dot3D(g010, tx0, ty1, tz0); + var v110 = Dot3D(g110, tx1, ty1, tz0); + var v001 = Dot3D(g001, tx0, ty0, tz1); + var v101 = Dot3D(g101, tx1, ty0, tz1); + var v011 = Dot3D(g011, tx0, ty1, tz1); + var v111 = Dot3D(g111, tx1, ty1, tz1); + + var tx = Smooth(tx0); + var ty = Smooth(ty0); + var tz = Smooth(tz0); + + var vx0 = Mathf.Lerp(v000, v100, tx); + var vx1 = Mathf.Lerp(v010, v110, tx); + + var vx2 = Mathf.Lerp(v001, v101, tx); + var vx3 = Mathf.Lerp(v011, v111, tx); + + var vy0 = Mathf.Lerp(vx0, vx1, ty); + var vy1 = Mathf.Lerp(vx2, vx3, ty); + + var v = Mathf.Lerp(vy0, vy1, tz); + return v * 0.5f + 0.5f; //Remap from -1 to 1, to 0 to 1 + } + + /// + /// 3 dimensional perlin noise + /// + /// Vector3 position + /// rng seed + /// value between 0 and 1 (inclusive) + public static float Noise3D(Vector3 position, uint seed) + { + return Noise3D(position.x, position.y, position.z, seed); + } + + #endregion + + private static float HashToGradient1D(uint value) + { + return Gradients1D[value & GradientsMask1D]; + } + + private static Vector2 HashToGradient2D(uint value) + { + return Gradients2D[value & GradientsMask2D]; + } + + private static Vector3 HashToGradient3D(uint value) + { + return Gradients3D[value & GradientsMask3D]; + } + + private static uint Hash1D(int value, uint seed) + { + return SquirrelEiserloh.Get1dNoiseUint(value, seed); + } + + private static uint Hash2D(int x, int y, uint seed) + { + return SquirrelEiserloh.Get2dNoiseUint(x, y, seed); + } + + private static uint Hash3D(int x, int y, int z, uint seed) + { + return SquirrelEiserloh.Get3dNoiseUint(x, y, z, seed); + } + + private static float Dot2D(Vector2 g, float x, float y) + { + return g.x * x + g.y * y; + } + + private static float Dot3D(Vector3 g, float x, float y, float z) + { + return g.x * x + g.y * y + g.z * z; + } + + private static float Smooth(float t) + { + return SmoothStep.Degree5(t); + } + } + + public static class SimplexGradientNoise + { + } +} diff --git a/Runtime/Utility/PerlinGradientNoise.cs.meta b/Runtime/Utility/PerlinGradientNoise.cs.meta new file mode 100644 index 0000000..bc61cf0 --- /dev/null +++ b/Runtime/Utility/PerlinGradientNoise.cs.meta @@ -0,0 +1,3 @@ +fileFormatVersion: 2 +guid: abdcf5d9d56a4ac7b7d4ddd599fa7e3c +timeCreated: 1674426674 \ No newline at end of file diff --git a/Runtime/Utility/SmoothNoise.cs b/Runtime/Utility/SmoothNoise.cs deleted file mode 100644 index dc5d037..0000000 --- a/Runtime/Utility/SmoothNoise.cs +++ /dev/null @@ -1,85 +0,0 @@ -using UnityEngine; - -namespace Gameframe.Procgen -{ - public static class SmoothNoise - { - public static float Value1d(float x, uint seed) - { - var x0 = Mathf.FloorToInt(x); - var x1 = x0 + 1; - - var t = x - x0; - - var v0 = SquirrelEiserloh.Get1dNoiseZeroToOne(x0, seed); - var v1 = SquirrelEiserloh.Get1dNoiseZeroToOne(x1, seed); - - return Mathf.Lerp(v0, v1, t); - } - - public static float Value2d(Vector2 v, uint seed) - { - var x0 = (int) v.x; - var y0 = (int) v.y; - var x1 = x0 + 1; - var y1 = y0 + 1; - - var tx = v.x - x0; - var ty = v.y - y0; - - var v00 = SquirrelEiserloh.Get2dNoiseZeroToOne(x0, y0, seed); - var v01 = SquirrelEiserloh.Get2dNoiseZeroToOne(x0, y1, seed); - - var v10 = SquirrelEiserloh.Get2dNoiseZeroToOne(x1, y0, seed); - var v11 = SquirrelEiserloh.Get2dNoiseZeroToOne(x1, y1, seed); - - var edge1 = Mathf.Lerp(v00, v10, tx); - var edge2 = Mathf.Lerp(v01, v11, tx); - - return Mathf.Lerp(edge1, edge2, ty); - } - - public static float Value3d(Vector3 v, uint seed) - { - var x0 = (int) v.x; - var y0 = (int) v.y; - var z0 = (int) v.z; - - var x1 = x0 + 1; - var y1 = y0 + 1; - var z1 = z0 + 1; - - var tx = v.x - x0; - var ty = v.y - y0; - var tz = v.z - z0; - - var v000 = SquirrelEiserloh.Get3dNoiseZeroToOne(x0, y0, z0, seed); - var v010 = SquirrelEiserloh.Get3dNoiseZeroToOne(x0, y1, z0, seed); - var v001 = SquirrelEiserloh.Get3dNoiseZeroToOne(x0, y0, z1, seed); - var v011 = SquirrelEiserloh.Get3dNoiseZeroToOne(x0, y1, z1, seed); - - var v100 = SquirrelEiserloh.Get3dNoiseZeroToOne(x1, y0, z0, seed); - var v110 = SquirrelEiserloh.Get3dNoiseZeroToOne(x1, y1, z0, seed); - var v101 = SquirrelEiserloh.Get3dNoiseZeroToOne(x1, y0, z1, seed); - var v111 = SquirrelEiserloh.Get3dNoiseZeroToOne(x1, y1, z1, seed); - - //Lerp along all edges along the x axis - var xEdge1 = Mathf.Lerp(v000, v100, tx); - var xEdge2 = Mathf.Lerp(v010, v110, tx); - var xEdge3 = Mathf.Lerp(v001, v101, tx); - var xEdge4 = Mathf.Lerp(v011, v111, tx); - - //Lerp over y - var yEdge1 = Mathf.Lerp(xEdge1, xEdge2, ty); - var yEdge2 = Mathf.Lerp(xEdge3, xEdge4, ty); - - //Finally lerp over z - return Mathf.Lerp(yEdge1, yEdge2, tz); - } - - private static float Smooth(float t) - { - return t * t * t * (t * (t * 6f - 15f) + 10f); - } - } -} diff --git a/Runtime/Utility/SmoothStep.cs b/Runtime/Utility/SmoothStep.cs new file mode 100644 index 0000000..24b9f16 --- /dev/null +++ b/Runtime/Utility/SmoothStep.cs @@ -0,0 +1,32 @@ +namespace Gameframe.Procgen +{ + /// + /// Smoothing methods utility class + /// + public static class SmoothStep + { + /// + /// Commonly used smooth step method + /// 3t2 - 2t3 + /// + /// t + /// smoothed 0 to 1 + public static float Degree3(float t) + { + //Typical smooth step 3t2 - 2t3 + return t * t * (3 - 2 * t); + } + + /// + /// Smoothstep method recommended by Ken Perlin for noise generation + /// First and second derivatives of this method are both 0 when t is zero or one. + /// This prevents discontinuities when doing anything that might effectively show a derivative + /// + /// t + /// smoothed value 0 to 1 + public static float Degree5(float t) + { + return t * t * t * (t * (t * 6f - 15f) + 10f); + } + } +} diff --git a/Runtime/Utility/SmoothStep.cs.meta b/Runtime/Utility/SmoothStep.cs.meta new file mode 100644 index 0000000..88eb997 --- /dev/null +++ b/Runtime/Utility/SmoothStep.cs.meta @@ -0,0 +1,3 @@ +fileFormatVersion: 2 +guid: bdbacaa6abc94373a86c19c9bde4ef3c +timeCreated: 1674435850 \ No newline at end of file diff --git a/Runtime/Utility/TextureUtility.cs b/Runtime/Utility/TextureUtility.cs index 36da400..574ffc7 100644 --- a/Runtime/Utility/TextureUtility.cs +++ b/Runtime/Utility/TextureUtility.cs @@ -60,6 +60,13 @@ public static Texture2D GetColorMap(Color[] colorMap, int width, int height) texture.Apply(); return texture; } + + public static void SaveTextureAsPNG(Texture2D tex2d, string fullPath) + { + var bytes = tex2d.EncodeToPNG(); + System.IO.File.WriteAllBytes(fullPath, bytes); + Debug.Log(bytes.Length / 1024 + "Kb was saved as: " + fullPath); + } } -} \ No newline at end of file +} diff --git a/Runtime/Utility/ValueNoise.cs b/Runtime/Utility/ValueNoise.cs new file mode 100644 index 0000000..ff28969 --- /dev/null +++ b/Runtime/Utility/ValueNoise.cs @@ -0,0 +1,223 @@ +using UnityEngine; + +namespace Gameframe.Procgen +{ + /// + /// Utility methods for random value noise generation + /// This noise usually has a very block-y appearance when visualized + /// + public static class ValueNoise + { + #region Fractal Noise + + /// + /// 1 dimensional fractal perlin noise + /// + /// x position + /// random number generator seed + /// How often the noise space repeats. Large numbers mean higher resolution. + /// Number of noise iterations + /// frequency is multiplied by this number ever octave + /// measure of how much each octave will contribute. Values gt 1 make each octave larger. Values gt 0 but lt 1 make each successive octave contribution smaller. + /// Random value between 0 and 1 + public static float Fractal1D(float x, uint seed, float frequency, int octaves, float lacunarity = 2f, + float persistence = 0.5f) + { + var sum = Noise1D(x * frequency, seed); + var amplitude = 1f; + var range = 1f; + for (var i = 1; i < octaves; i++) + { + frequency *= lacunarity; + amplitude *= persistence; + range += amplitude; + sum += Noise1D(x * frequency, seed) * amplitude; + } + + return sum / range; + } + + /// + /// 2 dimensional fractal perlin noise + /// + /// x position + /// y position + /// random number generator seed + /// How often the noise space repeats. Large numbers mean higher resolution. + /// Number of noise iterations + /// frequency is multiplied by this number ever octave + /// measure of how much each octave will contribute. Values gt 1 make each octave larger. Values gt 0 but lt 1 make each successive octave contribution smaller. + /// Random value between 0 and 1 + public static float Fractal2D(float x, float y, uint seed, float frequency, int octaves, + float lacunarity = 2f, float persistence = 0.5f) + { + var sum = Noise2D(x * frequency, y * frequency, seed); + var amplitude = 1f; + var range = 1f; + for (var i = 1; i < octaves; i++) + { + frequency *= lacunarity; + amplitude *= persistence; + range += amplitude; + sum += Noise2D(x * frequency, y * frequency, seed) * amplitude; + } + + return sum / range; + } + + /// + /// 2 dimensional fractal perlin noise + /// + /// Vector2 position + /// random number generator seed + /// How often the noise space repeats. Large numbers mean higher resolution. + /// Number of noise iterations + /// frequency is multiplied by this number ever octave + /// measure of how much each octave will contribute. Values gt 1 make each octave larger. Values gt 0 but lt 1 make each successive octave contribution smaller. + /// Random value between 0 and 1 + public static float Fractal2D(Vector2 point, uint seed, float frequency, int octaves, float lacunarity = 2, + float persistence = 0.5f) + { + return Fractal2D(point.x, point.y, seed, frequency, octaves, lacunarity, persistence); + } + + /// + /// 3 dimensional fractal perlin noise + /// + /// x position + /// y position + /// z position + /// random number generator seed + /// How often the noise space repeats. Large numbers mean higher resolution. + /// Number of noise iterations + /// frequency is multiplied by this number ever octave + /// measure of how much each octave will contribute. Values gt 1 make each octave larger. Values gt 0 but lt 1 make each successive octave contribution smaller. + /// Random value between 0 and 1 + public static float Fractal3D(float x, float y, float z, uint seed, float frequency, int octaves, + float lacunarity = 2f, float persistence = 0.5f) + { + var sum = Noise3D(x * frequency, y * frequency, z * frequency, seed); + var amplitude = 1f; + var range = 1f; + for (var i = 1; i < octaves; i++) + { + frequency *= lacunarity; + amplitude *= persistence; + range += amplitude; + sum += Noise3D(x * frequency, y * frequency, z * frequency, seed) * amplitude; + } + + return sum / range; + } + + /// + /// 3 dimensional fractal perlin noise + /// + /// Vector3 position + /// random number generator seed + /// How often the noise space repeats. Large numbers mean higher resolution. + /// Number of noise iterations + /// frequency is multiplied by this number ever octave + /// measure of how much each octave will contribute. Values gt 1 make each octave larger. Values gt 0 but lt 1 make each successive octave contribution smaller. + /// Random value between 0 and 1 + public static float Fractal3D(Vector3 point, uint seed, float frequency, int octaves, float lacunarity = 2, + float persistence = 0.5f) + { + return Fractal3D(point.x, point.y, point.z, seed, frequency, octaves, lacunarity, persistence); + } + + #endregion + + #region Regular Noise + + public static float Noise1D(float x, uint seed) + { + var x0 = Mathf.FloorToInt(x); + var x1 = x0 + 1; + + var t = Smooth(x - x0); + + var v0 = SquirrelEiserloh.Get1dNoiseZeroToOne(x0, seed); + var v1 = SquirrelEiserloh.Get1dNoiseZeroToOne(x1, seed); + + return Mathf.Lerp(v0, v1, t); + } + + public static float Noise2D(float x, float y, uint seed) + { + var x0 = Mathf.FloorToInt(x); + var y0 = Mathf.FloorToInt(y); + var x1 = x0 + 1; + var y1 = y0 + 1; + + var tx = Smooth(x - x0); + var ty = Smooth(y - y0); + + var v00 = SquirrelEiserloh.Get2dNoiseZeroToOne(x0, y0, seed); + var v01 = SquirrelEiserloh.Get2dNoiseZeroToOne(x0, y1, seed); + + var v10 = SquirrelEiserloh.Get2dNoiseZeroToOne(x1, y0, seed); + var v11 = SquirrelEiserloh.Get2dNoiseZeroToOne(x1, y1, seed); + + var edge1 = Mathf.Lerp(v00, v10, tx); + var edge2 = Mathf.Lerp(v01, v11, tx); + + return Mathf.Lerp(edge1, edge2, ty); + } + + public static float Noise2D(Vector2 v, uint seed) + { + return Noise2D(v.x, v.y, seed); + } + + public static float Noise3D(Vector3 v, uint seed) + { + return Noise3D(v.x, v.y, v.z, seed); + } + + public static float Noise3D(float x, float y, float z, uint seed) + { + var x0 = Mathf.FloorToInt(x); + var y0 = Mathf.FloorToInt(y); + var z0 = Mathf.FloorToInt(z); + + var x1 = x0 + 1; + var y1 = y0 + 1; + var z1 = z0 + 1; + + var tx = Smooth(x - x0); + var ty = Smooth(y - y0); + var tz = Smooth(z - z0); + + var v000 = SquirrelEiserloh.Get3dNoiseZeroToOne(x0, y0, z0, seed); + var v010 = SquirrelEiserloh.Get3dNoiseZeroToOne(x0, y1, z0, seed); + var v001 = SquirrelEiserloh.Get3dNoiseZeroToOne(x0, y0, z1, seed); + var v011 = SquirrelEiserloh.Get3dNoiseZeroToOne(x0, y1, z1, seed); + + var v100 = SquirrelEiserloh.Get3dNoiseZeroToOne(x1, y0, z0, seed); + var v110 = SquirrelEiserloh.Get3dNoiseZeroToOne(x1, y1, z0, seed); + var v101 = SquirrelEiserloh.Get3dNoiseZeroToOne(x1, y0, z1, seed); + var v111 = SquirrelEiserloh.Get3dNoiseZeroToOne(x1, y1, z1, seed); + + //Lerp along all edges along the x axis + var xEdge1 = Mathf.Lerp(v000, v100, tx); + var xEdge2 = Mathf.Lerp(v010, v110, tx); + var xEdge3 = Mathf.Lerp(v001, v101, tx); + var xEdge4 = Mathf.Lerp(v011, v111, tx); + + //Lerp over y + var yEdge1 = Mathf.Lerp(xEdge1, xEdge2, ty); + var yEdge2 = Mathf.Lerp(xEdge3, xEdge4, ty); + + //Finally lerp over z + return Mathf.Lerp(yEdge1, yEdge2, tz); + } + + #endregion + + private static float Smooth(float t) + { + return SmoothStep.Degree5(t); + } + } +} diff --git a/Runtime/Utility/SmoothNoise.cs.meta b/Runtime/Utility/ValueNoise.cs.meta similarity index 100% rename from Runtime/Utility/SmoothNoise.cs.meta rename to Runtime/Utility/ValueNoise.cs.meta diff --git a/Runtime/Utility/Voronoi.cs b/Runtime/Utility/Voronoi.cs index b01cf13..89d5bc0 100644 --- a/Runtime/Utility/Voronoi.cs +++ b/Runtime/Utility/Voronoi.cs @@ -5,6 +5,9 @@ namespace Gameframe.Procgen { + /// + /// Utility class for generating Voronoi cell diagrams + /// public static class Voronoi { public static VoronoiData Create(int width, int height, int regionCount, int seed) @@ -305,4 +308,4 @@ private static Texture2D CreateTextureFromColorArray(Color[] pixelColors, int wi } -} \ No newline at end of file +} diff --git a/Runtime/Visualizers/NoiseVisualizer2D.cs b/Runtime/Visualizers/NoiseVisualizer2D.cs new file mode 100644 index 0000000..684cb51 --- /dev/null +++ b/Runtime/Visualizers/NoiseVisualizer2D.cs @@ -0,0 +1,172 @@ +using System; +using UnityEngine; +using UnityEngine.Experimental.Rendering; + +namespace Gameframe.Procgen +{ + [ExecuteAlways] + public class NoiseVisualizer2D : MonoBehaviour + { + [SerializeField] + private NoiseGenerator _noiseGenerator; + + [SerializeField] + private Renderer _renderer; + + [SerializeField] private int textureResolution = 256; + + [SerializeField] private uint seed = 100; + [SerializeField] private float frequency = 1; + [SerializeField] private float scale = 1; + [SerializeField] private float offset = 0; + + [SerializeField] private FilterMode filterMode = FilterMode.Point; + + private Texture2D _texture; + + public enum Dimension + { + Value1D, + Value2D, + Value3D, + Perlin1D, + Perlin2D, + Perlin3D + } + + [SerializeField] private Dimension dimension = Dimension.Value2D; + + private void OnEnable() + { + Generate(); + } + + private void OnDisable() + { + ClearTexture(); + } + + private Texture2D CreateTexture() + { + var tex = new Texture2D(textureResolution, textureResolution) + { + filterMode = filterMode + }; + return tex; + } + + private void Update() + { + Generate(); + } + + [ContextMenu("Generate")] + private void Generate() + { + if (_noiseGenerator == null) + { + return; + } + + if (_texture != null && (_texture.width != textureResolution || _texture.height != textureResolution)) + { + ClearTexture(); + } + + if (_texture == null) + { + _texture = CreateTexture(); + } + + _texture.filterMode = filterMode; + + _noiseGenerator.Seed = seed; + _noiseGenerator.Frequency = frequency; + + var point00 = transform.TransformPoint(new Vector3(-0.5f,-0.5f)); + var point10 = transform.TransformPoint(new Vector3( 0.5f,-0.5f)); + var point01 = transform.TransformPoint(new Vector3(-0.5f, 0.5f)); + var point11 = transform.TransformPoint(new Vector3( 0.5f, 0.5f)); + + var stepSize = 1f / textureResolution; + + for (var y = 0; y < textureResolution; y++) + { + var point0 = Vector3.Lerp(point00, point01, (y + 0.5f) * stepSize); + var point1 = Vector3.Lerp(point10, point11, (y + 0.5f) * stepSize); + + for (var x = 0; x < textureResolution; x++) + { + var point = Vector3.Lerp(point0, point1, (x + 0.5f) * stepSize); + var v = 0f; + + switch (dimension) + { + case Dimension.Value1D: + v = _noiseGenerator.Value1D(point.x); + break; + case Dimension.Value2D: + v = _noiseGenerator.Value2D(point.x, point.y); + break; + case Dimension.Value3D: + v = _noiseGenerator.Value3D(point.x, point.y, point.z); + break; + case Dimension.Perlin1D: + v = PerlinGradientNoise.Noise1D(point.x*frequency, seed); + break; + case Dimension.Perlin2D: + v = PerlinGradientNoise.Noise2D(point.x*frequency, point.y*frequency, seed); + break; + case Dimension.Perlin3D: + v = PerlinGradientNoise.Noise3D(point.x*frequency, point.y*frequency, point.z*frequency, seed); + break; + default: + throw new ArgumentOutOfRangeException(); + } + + _texture.SetPixel(x,y, new Color(v,v,v,1f)); + } + } + + _texture.Apply(); + + _renderer.sharedMaterial.mainTexture = _texture; + } + + [ContextMenu("SaveTexture")] + private void SaveTexture() + { + if (_texture == null) + { + Debug.LogError("Texture does not exist"); + return; + } + TextureUtility.SaveTextureAsPNG(_texture,Application.dataPath + "GeneratedTexture.png"); + } + + private void ClearTexture() + { + if (_texture != null) + { + if (Application.isPlaying) + { + Destroy(_texture); + } + else + { + DestroyImmediate(_texture); + } + } + } + + private void OnValidate() + { + if (_texture != null) + { + _texture.filterMode = filterMode; + } + } + } + + +} diff --git a/Runtime/Visualizers/NoiseVisualizer2D.cs.meta b/Runtime/Visualizers/NoiseVisualizer2D.cs.meta new file mode 100644 index 0000000..1629d55 --- /dev/null +++ b/Runtime/Visualizers/NoiseVisualizer2D.cs.meta @@ -0,0 +1,11 @@ +fileFormatVersion: 2 +guid: 145a9cc8d610f4b42a548555a5ed9c92 +MonoImporter: + externalObjects: {} + serializedVersion: 2 + defaultReferences: [] + executionOrder: 0 + icon: {instanceID: 0} + userData: + assetBundleName: + assetBundleVariant: From 2fff4e50c1c52ad32c87da94bf264d54eae7324f Mon Sep 17 00:00:00 2001 From: Cory Leach Date: Sun, 22 Jan 2023 19:25:40 -0600 Subject: [PATCH 07/21] Update NoiseVisualizer2D.cs --- Runtime/Visualizers/NoiseVisualizer2D.cs | 11 ++++++----- 1 file changed, 6 insertions(+), 5 deletions(-) diff --git a/Runtime/Visualizers/NoiseVisualizer2D.cs b/Runtime/Visualizers/NoiseVisualizer2D.cs index 684cb51..0928804 100644 --- a/Runtime/Visualizers/NoiseVisualizer2D.cs +++ b/Runtime/Visualizers/NoiseVisualizer2D.cs @@ -17,8 +17,9 @@ public class NoiseVisualizer2D : MonoBehaviour [SerializeField] private uint seed = 100; [SerializeField] private float frequency = 1; - [SerializeField] private float scale = 1; - [SerializeField] private float offset = 0; + [SerializeField] [Range(1, 8)] private int octaves = 1; + [SerializeField] private float lacunarity = 2f; + [SerializeField] private float persistence = 0.5f; [SerializeField] private FilterMode filterMode = FilterMode.Point; @@ -112,13 +113,13 @@ private void Generate() v = _noiseGenerator.Value3D(point.x, point.y, point.z); break; case Dimension.Perlin1D: - v = PerlinGradientNoise.Noise1D(point.x*frequency, seed); + v = PerlinGradientNoise.Fractal1D(point.x, seed, frequency, octaves, lacunarity, persistence); break; case Dimension.Perlin2D: - v = PerlinGradientNoise.Noise2D(point.x*frequency, point.y*frequency, seed); + v = PerlinGradientNoise.Fractal2D(point.x, point.y, seed, frequency, octaves, lacunarity, persistence); break; case Dimension.Perlin3D: - v = PerlinGradientNoise.Noise3D(point.x*frequency, point.y*frequency, point.z*frequency, seed); + v = PerlinGradientNoise.Fractal3D(point.x, point.y, point.z, seed, frequency, octaves, lacunarity, persistence); break; default: throw new ArgumentOutOfRangeException(); From 2c82dbc89c1054b9141b2fc39f3721302ed58329 Mon Sep 17 00:00:00 2001 From: Cory Leach Date: Sun, 22 Jan 2023 19:30:25 -0600 Subject: [PATCH 08/21] Update NoiseVisualizer2D.cs Removed reference to noise generator. Just using stateless methods directly. Using fractal noise in all cases. --- Runtime/Visualizers/NoiseVisualizer2D.cs | 17 +++-------------- 1 file changed, 3 insertions(+), 14 deletions(-) diff --git a/Runtime/Visualizers/NoiseVisualizer2D.cs b/Runtime/Visualizers/NoiseVisualizer2D.cs index 0928804..9788326 100644 --- a/Runtime/Visualizers/NoiseVisualizer2D.cs +++ b/Runtime/Visualizers/NoiseVisualizer2D.cs @@ -7,9 +7,6 @@ namespace Gameframe.Procgen [ExecuteAlways] public class NoiseVisualizer2D : MonoBehaviour { - [SerializeField] - private NoiseGenerator _noiseGenerator; - [SerializeField] private Renderer _renderer; @@ -64,11 +61,6 @@ private void Update() [ContextMenu("Generate")] private void Generate() { - if (_noiseGenerator == null) - { - return; - } - if (_texture != null && (_texture.width != textureResolution || _texture.height != textureResolution)) { ClearTexture(); @@ -81,9 +73,6 @@ private void Generate() _texture.filterMode = filterMode; - _noiseGenerator.Seed = seed; - _noiseGenerator.Frequency = frequency; - var point00 = transform.TransformPoint(new Vector3(-0.5f,-0.5f)); var point10 = transform.TransformPoint(new Vector3( 0.5f,-0.5f)); var point01 = transform.TransformPoint(new Vector3(-0.5f, 0.5f)); @@ -104,13 +93,13 @@ private void Generate() switch (dimension) { case Dimension.Value1D: - v = _noiseGenerator.Value1D(point.x); + v = ValueNoise.Fractal1D(point.x * frequency, seed, frequency, octaves, lacunarity, persistence); break; case Dimension.Value2D: - v = _noiseGenerator.Value2D(point.x, point.y); + v = ValueNoise.Fractal2D(point * frequency, seed, frequency, octaves, lacunarity, persistence); break; case Dimension.Value3D: - v = _noiseGenerator.Value3D(point.x, point.y, point.z); + v = ValueNoise.Fractal3D(point * frequency, seed, frequency, octaves, lacunarity, persistence); break; case Dimension.Perlin1D: v = PerlinGradientNoise.Fractal1D(point.x, seed, frequency, octaves, lacunarity, persistence); From 8a4d114ea7f775821050f24cddb9700547ccc9f2 Mon Sep 17 00:00:00 2001 From: Cory Leach Date: Mon, 23 Jan 2023 04:53:49 -0600 Subject: [PATCH 09/21] NoiseSample and Value Derivative Calculation --- Runtime/Utility/NoiseSample.cs | 73 +++++++ Runtime/Utility/NoiseSample.cs.meta | 3 + Runtime/Utility/PerlinGradientNoise.cs | 96 +++++++++ Runtime/Utility/SmoothStep.cs | 5 + Runtime/Utility/ValueNoise.cs | 78 +++++++ Runtime/Visualizers/SurfaceMeshVisualizer.cs | 193 ++++++++++++++++++ .../Visualizers/SurfaceMeshVisualizer.cs.meta | 11 + 7 files changed, 459 insertions(+) create mode 100644 Runtime/Utility/NoiseSample.cs create mode 100644 Runtime/Utility/NoiseSample.cs.meta create mode 100644 Runtime/Visualizers/SurfaceMeshVisualizer.cs create mode 100644 Runtime/Visualizers/SurfaceMeshVisualizer.cs.meta diff --git a/Runtime/Utility/NoiseSample.cs b/Runtime/Utility/NoiseSample.cs new file mode 100644 index 0000000..c134dd3 --- /dev/null +++ b/Runtime/Utility/NoiseSample.cs @@ -0,0 +1,73 @@ +using UnityEngine; + +namespace Gameframe.Procgen +{ + /// + /// A sampling of noise including the value of the noise and the derivative at the same position + /// + public struct NoiseSample + { + public float value; + public Vector3 derivative; + + public static NoiseSample operator +(NoiseSample a, NoiseSample b) + { + a.value += b.value; + a.derivative += b.derivative; + return a; + } + + public static NoiseSample operator +(NoiseSample a, float b) + { + a.value += b; + return a; + } + + public static NoiseSample operator +(float a, NoiseSample b) + { + b.value += a; + return b; + } + + public static NoiseSample operator -(NoiseSample a, float b) + { + a.value -= b; + return a; + } + + public static NoiseSample operator -(float a, NoiseSample b) + { + b.value = a - b.value; + b.derivative = -b.derivative; + return b; + } + + public static NoiseSample operator -(NoiseSample a, NoiseSample b) + { + a.value -= b.value; + a.derivative -= b.derivative; + return a; + } + + public static NoiseSample operator *(NoiseSample a, float b) + { + a.value *= b; + a.derivative *= b; + return a; + } + + public static NoiseSample operator *(float a, NoiseSample b) + { + b.value *= a; + b.derivative *= a; + return b; + } + + public static NoiseSample operator *(NoiseSample a, NoiseSample b) + { + a.derivative = a.derivative * b.value + b.derivative * a.value; + a.value *= b.value; + return a; + } + } +} diff --git a/Runtime/Utility/NoiseSample.cs.meta b/Runtime/Utility/NoiseSample.cs.meta new file mode 100644 index 0000000..edba85f --- /dev/null +++ b/Runtime/Utility/NoiseSample.cs.meta @@ -0,0 +1,3 @@ +fileFormatVersion: 2 +guid: 664511c696714fa8974983023b9a866f +timeCreated: 1674452494 \ No newline at end of file diff --git a/Runtime/Utility/PerlinGradientNoise.cs b/Runtime/Utility/PerlinGradientNoise.cs index 45a12ed..b56a953 100644 --- a/Runtime/Utility/PerlinGradientNoise.cs +++ b/Runtime/Utility/PerlinGradientNoise.cs @@ -197,6 +197,44 @@ public static float Noise1D(float x, uint seed) return v * 0.5f + 0.5f; //Remap from -1 to 1, to 0 to 1 } + public static NoiseSample Sample1D(float x, uint seed, float frequency = 1) + { + var x0 = Mathf.FloorToInt(x * frequency); + var x1 = x0 + 1; + + var t0 = x - x0; + var t1 = t0 - 1f; + + var g0 = HashToGradient1D(Hash1D(x0, seed)); + var g1 = HashToGradient1D(Hash1D(x1, seed)); + + var v0 = g0 * t0; + var v1 = g1 * t1; + + var t = Smooth(t0); + var dt = SmoothDerivative(t0); + + var a = v0; + var b = v1 - v0; + + var v = a + b * t; + var dv = b * t; + + var sample = new NoiseSample + { + value = v * 2f, + }; + + sample.derivative.x = dv; + sample.derivative.y = 0; + sample.derivative.z = 0; + + sample.derivative *= frequency; + + return sample; + } + + /// /// 2 dimensional perlin noise /// @@ -237,6 +275,52 @@ public static float Noise2D(float x, float y, uint seed) return v * 0.5f + 0.5f; //Remap from -1 to 1, to 0 to 1 } + public static NoiseSample Sample2D(float x, float y, uint seed, float frequency = 1f) + { + x *= frequency; + y *= frequency; + + var x0 = Mathf.FloorToInt(x); + var x1 = x0 + 1; + + var y0 = Mathf.FloorToInt(y); + var y1 = y0 + 1; + + var tx0 = x - x0; + var tx1 = tx0 - 1f; + + var ty0 = y - y0; + var ty1 = ty0 - 1f; + + var g00 = HashToGradient2D(Hash2D(x0, y0, seed)); + var g10 = HashToGradient2D(Hash2D(x1, y0, seed)); + var g01 = HashToGradient2D(Hash2D(x0, y1, seed)); + var g11 = HashToGradient2D(Hash2D(x1, y1, seed)); + + var v00 = Dot2D(g00, tx0, ty0); + var v10 = Dot2D(g10, tx1, ty0); + var v01 = Dot2D(g01, tx0, ty1); + var v11 = Dot2D(g11, tx1, ty1); + + var tx = Smooth(tx0); + var ty = Smooth(ty0); + + var a = v00; + var b = v10 - v00; + + var v0 = Mathf.Lerp(v00, v10, tx); + var v1 = Mathf.Lerp(v01, v11, tx); + var v = Mathf.Lerp(v0, v1, ty) * Sqr2; + + var sample = new NoiseSample + { + + }; + + return sample; + } + + /// /// 2 dimensional perlin noise /// @@ -377,9 +461,21 @@ private static float Smooth(float t) { return SmoothStep.Degree5(t); } + + private static float SmoothDerivative(float t) + { + return SmoothStep.Degree5Derivative(t); + } } public static class SimplexGradientNoise { + public static float Noise1D(float x, uint seed) + { + var x0 = Mathf.FloorToInt(x); + var x1 = x - x0; + + return 0; + } } } diff --git a/Runtime/Utility/SmoothStep.cs b/Runtime/Utility/SmoothStep.cs index 24b9f16..0039686 100644 --- a/Runtime/Utility/SmoothStep.cs +++ b/Runtime/Utility/SmoothStep.cs @@ -28,5 +28,10 @@ public static float Degree5(float t) { return t * t * t * (t * (t * 6f - 15f) + 10f); } + + public static float Degree5Derivative(float t) + { + return 30f * t * t * (t * (t - 2f) + 1f); + } } } diff --git a/Runtime/Utility/ValueNoise.cs b/Runtime/Utility/ValueNoise.cs index ff28969..15440f3 100644 --- a/Runtime/Utility/ValueNoise.cs +++ b/Runtime/Utility/ValueNoise.cs @@ -143,6 +143,36 @@ public static float Noise1D(float x, uint seed) return Mathf.Lerp(v0, v1, t); } + public static NoiseSample Sample1D(float x, uint seed, float frequency = 1) + { + var x0 = Mathf.FloorToInt(x * frequency); + var x1 = x0 + 1; + + var t = Smooth(x - x0); + var dt = SmoothDerivative(x - x0); + + var v0 = SquirrelEiserloh.Get1dNoiseZeroToOne(x0, seed); + var v1 = SquirrelEiserloh.Get1dNoiseZeroToOne(x1, seed); + + var a = v0; + var b = v1 - v0; + var v = a + b * t; //Lerp + var dv = b * dt; //Lerp Derivative + + var sample = new NoiseSample + { + value = v, + }; + + sample.derivative.x = dv; + sample.derivative.y = 0; + sample.derivative.z = 0; + + sample.derivative *= frequency; + + return sample; + } + public static float Noise2D(float x, float y, uint seed) { var x0 = Mathf.FloorToInt(x); @@ -165,6 +195,49 @@ public static float Noise2D(float x, float y, uint seed) return Mathf.Lerp(edge1, edge2, ty); } + public static NoiseSample Sample2D(float x, float y, uint seed, float frequency = 1f) + { + x *= frequency; + y *= frequency; + + var x0 = Mathf.FloorToInt(x); + var y0 = Mathf.FloorToInt(y); + var x1 = x0 + 1; + var y1 = y0 + 1; + + var tx = Smooth(x - x0); + var ty = Smooth(y - y0); + + var dtx = SmoothDerivative(x - x0); + var dty = SmoothDerivative(y - y0); + + var v00 = SquirrelEiserloh.Get2dNoiseZeroToOne(x0, y0, seed); + var v01 = SquirrelEiserloh.Get2dNoiseZeroToOne(x0, y1, seed); + + var v10 = SquirrelEiserloh.Get2dNoiseZeroToOne(x1, y0, seed); + var v11 = SquirrelEiserloh.Get2dNoiseZeroToOne(x1, y1, seed); + + var a = v00; + var b = v10 - v00; + var c = v01 - v00; + var d = v11 - v01 - v10 + v00; + + var v = a + b * tx + (c + d * tx) * ty; + + var sample = new NoiseSample + { + value = v + }; + + sample.derivative.x = (b + d * ty) * dtx; + sample.derivative.y = (c + d * tx) * dty; + sample.derivative.z = 0; + + sample.derivative *= frequency; + + return sample; + } + public static float Noise2D(Vector2 v, uint seed) { return Noise2D(v.x, v.y, seed); @@ -219,5 +292,10 @@ private static float Smooth(float t) { return SmoothStep.Degree5(t); } + + private static float SmoothDerivative(float t) + { + return SmoothStep.Degree5Derivative(t); + } } } diff --git a/Runtime/Visualizers/SurfaceMeshVisualizer.cs b/Runtime/Visualizers/SurfaceMeshVisualizer.cs new file mode 100644 index 0000000..60cf6a3 --- /dev/null +++ b/Runtime/Visualizers/SurfaceMeshVisualizer.cs @@ -0,0 +1,193 @@ +using System; +using UnityEngine; + +namespace Gameframe.Procgen +{ + [ExecuteAlways] + [RequireComponent(typeof(MeshFilter), typeof(MeshRenderer))] + public class SurfaceMeshVisualizer : MonoBehaviour + { + [SerializeField] private uint seed = 100; + + [SerializeField] private float strength = 1f; + + [SerializeField] private int resolution = 10; + + [SerializeField] private float frequency = 1f; + + [SerializeField] [Range(1, 8)] private int octaves = 1; + + [SerializeField] [Range(1f, 4f)] private float lacunarity = 2f; + + [SerializeField] [Range(0f, 1f)] private float persistence = 0.5f; + + [SerializeField] private Gradient coloring; + + [SerializeField] private Vector3 offset; + + private Mesh mesh; + private int currentResolution; + private Vector3[] vertices; + private Vector3[] normals; + private Color[] colors; + + private MeshFilter _meshFilter; + + public MeshFilter MeshFilter + { + get + { + if (_meshFilter == null) + { + _meshFilter = GetComponent(); + } + + return _meshFilter; + } + } + + public enum Dimension + { + Value1D, + Value2D, + Value3D, + Perlin1D, + Perlin2D, + Perlin3D + } + + [SerializeField] private Dimension dimension = Dimension.Value2D; + + private void OnEnable() + { + if (mesh == null) + { + mesh = new Mesh(); + mesh.name = "Surface Mesh"; + MeshFilter.mesh = mesh; + } + + Refresh(); + } + + [ContextMenu("Refresh")] + private void Refresh() + { + if (currentResolution != resolution || mesh == null) + { + CreateMesh(); + } + + var point00 = transform.TransformPoint(new Vector3(-0.5f, 0, -0.5f)) + offset; + var point10 = transform.TransformPoint(new Vector3(0.5f, 0, -0.5f)) + offset; + var point01 = transform.TransformPoint(new Vector3(-0.5f, 0, 0.5f)) + offset; + var point11 = transform.TransformPoint(new Vector3(0.5f, 0, 0.5f)) + offset; + + //var minSample = float.MaxValue; + //var maxSample = float.MinValue; + + var stepSize = 1f / resolution; + for (int v = 0, y = 0; y <= resolution; y++) + { + var point0 = Vector3.Lerp(point00, point01, y * stepSize); + var point1 = Vector3.Lerp(point10, point11, y * stepSize); + for (var x = 0; x <= resolution; x++, v++) + { + var point = Vector3.Lerp(point0, point1, x * stepSize); + var sample = Noise(point); + //minSample = Mathf.Min(sample, minSample); + //maxSample = Mathf.Max(sample, maxSample); + vertices[v].y = (sample - 0.5f) * strength; + colors[v] = coloring.Evaluate(sample); + } + } + + mesh.vertices = vertices; + mesh.colors = colors; + mesh.RecalculateNormals(); + } + + [ContextMenu("Force Refresh")] + private void ForceRefresh() + { + currentResolution = 0; + Refresh(); + } + + private float Noise(Vector3 point) + { + var v = 0f; + switch (dimension) + { + case Dimension.Value1D: + v = ValueNoise.Fractal1D(point.x * frequency, seed, frequency, octaves, lacunarity, persistence); + break; + case Dimension.Value2D: + v = ValueNoise.Fractal2D(point * frequency, seed, frequency, octaves, lacunarity, persistence); + break; + case Dimension.Value3D: + v = ValueNoise.Fractal3D(point * frequency, seed, frequency, octaves, lacunarity, persistence); + break; + case Dimension.Perlin1D: + v = PerlinGradientNoise.Fractal1D(point.x, seed, frequency, octaves, lacunarity, persistence); + break; + case Dimension.Perlin2D: + v = PerlinGradientNoise.Fractal2D(point.x, point.y, seed, frequency, octaves, lacunarity, + persistence); + break; + case Dimension.Perlin3D: + v = PerlinGradientNoise.Fractal3D(point.x, point.y, point.z, seed, frequency, octaves, lacunarity, + persistence); + break; + } + + return v; + } + + private void CreateMesh() + { + currentResolution = resolution; + mesh.Clear(); + + vertices = new Vector3[(resolution + 1) * (resolution + 1)]; + colors = new Color[vertices.Length]; + normals = new Vector3[vertices.Length]; + var uv = new Vector2[vertices.Length]; + var stepSize = 1f / resolution; + for (int v = 0, y = 0; y <= resolution; y++) + { + for (var x = 0; x <= resolution; x++, v++) + { + vertices[v] = new Vector3(x * stepSize - 0.5f, 0, y * stepSize - 0.5f); + normals[v] = Vector3.up; + uv[v] = new Vector2(x * stepSize, y * stepSize); + } + } + + mesh.vertices = vertices; + mesh.normals = normals; + mesh.uv = uv; + + var triangles = new int[resolution * resolution * 6]; + for (int t = 0, v = 0, y = 0; y < resolution; y++, v++) + { + for (var x = 0; x < resolution; x++, v++, t += 6) + { + triangles[t] = v; + triangles[t + 1] = v + resolution + 1; + triangles[t + 2] = v + 1; + triangles[t + 3] = v + 1; + triangles[t + 4] = v + resolution + 1; + triangles[t + 5] = v + resolution + 2; + } + } + + mesh.triangles = triangles; + } + + private void OnValidate() + { + Refresh(); + } + } +} diff --git a/Runtime/Visualizers/SurfaceMeshVisualizer.cs.meta b/Runtime/Visualizers/SurfaceMeshVisualizer.cs.meta new file mode 100644 index 0000000..0d5d9b5 --- /dev/null +++ b/Runtime/Visualizers/SurfaceMeshVisualizer.cs.meta @@ -0,0 +1,11 @@ +fileFormatVersion: 2 +guid: 75028f08b2c4c4b2b861601d8e8da85c +MonoImporter: + externalObjects: {} + serializedVersion: 2 + defaultReferences: [] + executionOrder: 0 + icon: {instanceID: 0} + userData: + assetBundleName: + assetBundleVariant: From 0afac5157759cbf455cabd07255cc2a852742f10 Mon Sep 17 00:00:00 2001 From: Cory Leach Date: Mon, 23 Jan 2023 14:03:21 -0600 Subject: [PATCH 10/21] Visualizing Derivatives and Normals --- Runtime/Utility/ValueNoise.cs | 20 ++++++- Runtime/Visualizers/SurfaceMeshVisualizer.cs | 61 ++++++++++++++++---- 2 files changed, 68 insertions(+), 13 deletions(-) diff --git a/Runtime/Utility/ValueNoise.cs b/Runtime/Utility/ValueNoise.cs index 15440f3..b005725 100644 --- a/Runtime/Utility/ValueNoise.cs +++ b/Runtime/Utility/ValueNoise.cs @@ -37,6 +37,23 @@ public static float Fractal1D(float x, uint seed, float frequency, int octaves, return sum / range; } + public static NoiseSample FractalSample1D(float x, uint seed, float frequency, int octaves, + float lacunarity = 2f, float persistence = 0.5f) + { + var sum = Sample1D(x, seed, frequency); + var amplitude = 1f; + var range = 1f; + for (var i = 1; i < octaves; i++) + { + frequency *= lacunarity; + amplitude *= persistence; + range += amplitude; + sum += Sample1D(x, seed, frequency) * amplitude; + } + + return sum * (1f / range); + } + /// /// 2 dimensional fractal perlin noise /// @@ -145,7 +162,8 @@ public static float Noise1D(float x, uint seed) public static NoiseSample Sample1D(float x, uint seed, float frequency = 1) { - var x0 = Mathf.FloorToInt(x * frequency); + x *= frequency; + var x0 = Mathf.FloorToInt(x); var x1 = x0 + 1; var t = Smooth(x - x0); diff --git a/Runtime/Visualizers/SurfaceMeshVisualizer.cs b/Runtime/Visualizers/SurfaceMeshVisualizer.cs index 60cf6a3..ab3df0c 100644 --- a/Runtime/Visualizers/SurfaceMeshVisualizer.cs +++ b/Runtime/Visualizers/SurfaceMeshVisualizer.cs @@ -25,6 +25,9 @@ public class SurfaceMeshVisualizer : MonoBehaviour [SerializeField] private Vector3 offset; + [SerializeField] private bool showNormals; + [SerializeField] private float normalSize = 0.1f; + private Mesh mesh; private int currentResolution; private Vector3[] vertices; @@ -70,10 +73,23 @@ private void OnEnable() Refresh(); } + private void OnDrawGizmosSelected() + { + if (showNormals && vertices != null) + { + Gizmos.color = Color.yellow; + for (int v = 0; v < vertices.Length; v++) + { + Gizmos.DrawRay( transform.TransformPoint(vertices[v]), normals[v] * normalSize); + } + } + } + [ContextMenu("Refresh")] private void Refresh() { - if (currentResolution != resolution || mesh == null) + if (currentResolution != resolution || mesh == null || vertices == null || + vertices.Length != ((resolution + 1) * (resolution + 1))) { CreateMesh(); } @@ -83,8 +99,8 @@ private void Refresh() var point01 = transform.TransformPoint(new Vector3(-0.5f, 0, 0.5f)) + offset; var point11 = transform.TransformPoint(new Vector3(0.5f, 0, 0.5f)) + offset; - //var minSample = float.MaxValue; - //var maxSample = float.MinValue; + var minSample = float.MaxValue; + var maxSample = float.MinValue; var stepSize = 1f / resolution; for (int v = 0, y = 0; y <= resolution; y++) @@ -95,16 +111,19 @@ private void Refresh() { var point = Vector3.Lerp(point0, point1, x * stepSize); var sample = Noise(point); - //minSample = Mathf.Min(sample, minSample); - //maxSample = Mathf.Max(sample, maxSample); - vertices[v].y = (sample - 0.5f) * strength; - colors[v] = coloring.Evaluate(sample); + minSample = Mathf.Min(sample.value, minSample); + maxSample = Mathf.Max(sample.value, maxSample); + vertices[v].y = (sample.value - 0.5f) * strength; + colors[v] = coloring.Evaluate(sample.value); + normals[v] = new Vector3(sample.derivative.x, 1, 0).normalized; } } + //Debug.Log($"Min: {minSample} Max:{maxSample}"); + mesh.vertices = vertices; + mesh.normals = normals; mesh.colors = colors; - mesh.RecalculateNormals(); } [ContextMenu("Force Refresh")] @@ -114,40 +133,58 @@ private void ForceRefresh() Refresh(); } - private float Noise(Vector3 point) + private NoiseSample Noise(Vector3 point) { var v = 0f; + var sample = new NoiseSample(); switch (dimension) { case Dimension.Value1D: - v = ValueNoise.Fractal1D(point.x * frequency, seed, frequency, octaves, lacunarity, persistence); + //sample = ValueNoise.Sample1D(point.x, seed, frequency); + sample = ValueNoise.FractalSample1D(point.x, seed:seed, frequency:frequency, octaves:octaves, lacunarity:lacunarity, persistence:persistence); + //v = ValueNoise.Fractal1D(point.x * frequency, seed, frequency, octaves, lacunarity, persistence); break; case Dimension.Value2D: v = ValueNoise.Fractal2D(point * frequency, seed, frequency, octaves, lacunarity, persistence); + sample.value = v; break; case Dimension.Value3D: v = ValueNoise.Fractal3D(point * frequency, seed, frequency, octaves, lacunarity, persistence); + sample.value = v; break; case Dimension.Perlin1D: v = PerlinGradientNoise.Fractal1D(point.x, seed, frequency, octaves, lacunarity, persistence); + sample.value = v; break; case Dimension.Perlin2D: v = PerlinGradientNoise.Fractal2D(point.x, point.y, seed, frequency, octaves, lacunarity, persistence); + sample.value = v; break; case Dimension.Perlin3D: v = PerlinGradientNoise.Fractal3D(point.x, point.y, point.z, seed, frequency, octaves, lacunarity, persistence); + sample.value = v; break; } - return v; + return sample; } private void CreateMesh() { currentResolution = resolution; - mesh.Clear(); + + if (mesh == null) + { + mesh = new Mesh(); + mesh.name = "Surface Mesh"; + MeshFilter.mesh = mesh; + } + else + { + mesh.Clear(); + } vertices = new Vector3[(resolution + 1) * (resolution + 1)]; colors = new Color[vertices.Length]; From a5405b3d4c87ea9abdffd01bdecaaf38e7a9d417 Mon Sep 17 00:00:00 2001 From: Cory Leach Date: Mon, 23 Jan 2023 23:58:00 -0600 Subject: [PATCH 11/21] Surface Mesh Visualizer Added Sample methods for all Value and Perlin noise methods. Perlin sample methods now return values ranged 0 to 1. Placeholder for Simplex implementation --- Runtime/Utility/PerlinGradientNoise.cs | 338 ++++++++++++++++--- Runtime/Utility/SimplexGradientNoise.cs | 15 + Runtime/Utility/SimplexGradientNoise.cs.meta | 3 + Runtime/Utility/ValueNoise.cs | 111 +++++- Runtime/Visualizers/SurfaceMeshVisualizer.cs | 49 +-- 5 files changed, 453 insertions(+), 63 deletions(-) create mode 100644 Runtime/Utility/SimplexGradientNoise.cs create mode 100644 Runtime/Utility/SimplexGradientNoise.cs.meta diff --git a/Runtime/Utility/PerlinGradientNoise.cs b/Runtime/Utility/PerlinGradientNoise.cs index b56a953..d3fd2f5 100644 --- a/Runtime/Utility/PerlinGradientNoise.cs +++ b/Runtime/Utility/PerlinGradientNoise.cs @@ -32,23 +32,23 @@ public static class PerlinGradientNoise private static readonly Vector3[] Gradients3D = { - new Vector3(1f, 1f, 0f), + new Vector3( 1f, 1f, 0f), new Vector3(-1f, 1f, 0f), - new Vector3(1f, -1f, 0f), - new Vector3(-1f, -1f, 0f), - new Vector3(1f, 0f, 1f), + new Vector3( 1f,-1f, 0f), + new Vector3(-1f,-1f, 0f), + new Vector3( 1f, 0f, 1f), new Vector3(-1f, 0f, 1f), - new Vector3(1f, 0f, -1f), - new Vector3(-1f, 0f, -1f), - new Vector3(0f, 1f, 1f), - new Vector3(0f, -1f, 1f), - new Vector3(0f, 1f, -1f), - new Vector3(0f, -1f, -1f), - - new Vector3(1f, 1f, 0f), + new Vector3( 1f, 0f,-1f), + new Vector3(-1f, 0f,-1f), + new Vector3( 0f, 1f, 1f), + new Vector3( 0f,-1f, 1f), + new Vector3( 0f, 1f,-1f), + new Vector3( 0f,-1f,-1f), + + new Vector3( 1f, 1f, 0f), new Vector3(-1f, 1f, 0f), - new Vector3(0f, -1f, 1f), - new Vector3(0f, -1f, -1f) + new Vector3( 0f,-1f, 1f), + new Vector3( 0f,-1f,-1f) }; #region Fractal Noise @@ -80,6 +80,34 @@ public static float Fractal1D(float x, uint seed, float frequency, int octaves, return sum / range; } + /// + /// Sample 1 dimensional fractal perlin noise + /// + /// x position + /// random number generator seed + /// How often the noise space repeats. Large numbers mean higher resolution. + /// Number of noise iterations + /// frequency is multiplied by this number ever octave + /// measure of how much each octave will contribute. Values gt 1 make each octave larger. Values gt 0 but lt 1 make each successive octave contribution smaller. + /// Noise sample which includes value in range 0 to 1 and derivative of noise function at the sampled location + public static NoiseSample FractalSample1D(float x, uint seed, float frequency, int octaves, + float lacunarity = 2f, + float persistence = 0.5f) + { + var sum = Sample1D(x, seed, frequency); + var amplitude = 1f; + var range = 1f; + for (var i = 1; i < octaves; i++) + { + frequency *= lacunarity; + amplitude *= persistence; + range += amplitude; + sum += Sample1D(x, seed, frequency) * amplitude; + } + + return sum * (1 / range); + } + /// /// 2 dimensional fractal perlin noise /// @@ -108,6 +136,50 @@ public static float Fractal2D(float x, float y, uint seed, float frequency, int return sum / range; } + /// + /// Sample 2 dimensional fractal perlin noise + /// + /// 2D Position (x,y) coordinates + /// random number generator seed + /// How often the noise space repeats. Large numbers mean higher resolution. + /// Number of noise iterations + /// frequency is multiplied by this number ever octave + /// measure of how much each octave will contribute. Values gt 1 make each octave larger. Values gt 0 but lt 1 make each successive octave contribution smaller. + /// Noise sample which includes value in range 0 to 1 and derivative of noise function at the sampled location + public static NoiseSample FractalSample2D(Vector2 point, uint seed, float frequency, int octaves, + float lacunarity = 2f, float persistence = 0.5f) + { + return FractalSample2D(point.x, point.y, seed, frequency, octaves, lacunarity, persistence); + } + + /// + /// Sample 2 dimensional fractal perlin noise + /// + /// x position + /// y position + /// random number generator seed + /// How often the noise space repeats. Large numbers mean higher resolution. + /// Number of noise iterations + /// frequency is multiplied by this number ever octave + /// measure of how much each octave will contribute. Values gt 1 make each octave larger. Values gt 0 but lt 1 make each successive octave contribution smaller. + /// Noise sample which includes value in range 0 to 1 and derivative of noise function at the sampled location + public static NoiseSample FractalSample2D(float x, float y, uint seed, float frequency, int octaves, + float lacunarity = 2f, float persistence = 0.5f) + { + var sum = Sample2D(x, y, seed, frequency); + var amplitude = 1f; + var range = 1f; + for (var i = 1; i < octaves; i++) + { + frequency *= lacunarity; + amplitude *= persistence; + range += amplitude; + sum += Sample2D(x, y, seed, frequency) * amplitude; + } + + return sum * (1 / range); + } + /// /// 2 dimensional fractal perlin noise /// @@ -136,7 +208,8 @@ public static float Fractal2D(Vector2 position, uint seed, float frequency, int /// frequency is multiplied by this number ever octave /// measure of how much each octave will contribute. Values gt 1 make each octave larger. Values gt 0 but lt 1 make each successive octave contribution smaller. /// Random value between 0 and 1 - public static float Fractal3D(float x, float y, float z, uint seed, float frequency, int octaves, float lacunarity = 2f, float persistence = 0.5f) + public static float Fractal3D(float x, float y, float z, uint seed, float frequency, int octaves, + float lacunarity = 2f, float persistence = 0.5f) { var sum = Noise3D(x * frequency, y * frequency, z * frequency, seed); var amplitude = 1f; @@ -152,6 +225,51 @@ public static float Fractal3D(float x, float y, float z, uint seed, float freque return sum / range; } + /// + /// Sample 3 dimensional fractal perlin noise + /// + /// 3D Position (x,y,z) coordinates + /// random number generator seed + /// How often the noise space repeats. Large numbers mean higher resolution. + /// Number of noise iterations + /// frequency is multiplied by this number ever octave + /// measure of how much each octave will contribute. Values gt 1 make each octave larger. Values gt 0 but lt 1 make each successive octave contribution smaller. + /// Noise sample which includes value in range 0 to 1 and derivative of noise function at the sampled location + public static NoiseSample FractalSample3D(Vector3 point, uint seed, float frequency, int octaves, + float lacunarity = 2f, float persistence = 0.5f) + { + return FractalSample3D(point.x, point.y, point.z, seed, frequency, octaves, lacunarity, persistence); + } + + /// + /// Sample 3 dimensional fractal perlin noise + /// + /// x position + /// y position + /// z position + /// random number generator seed + /// How often the noise space repeats. Large numbers mean higher resolution. + /// Number of noise iterations + /// frequency is multiplied by this number ever octave + /// measure of how much each octave will contribute. Values gt 1 make each octave larger. Values gt 0 but lt 1 make each successive octave contribution smaller. + /// Noise sample which includes value in range 0 to 1 and derivative of noise function at the sampled location + public static NoiseSample FractalSample3D(float x, float y, float z, uint seed, float frequency, int octaves, + float lacunarity = 2f, float persistence = 0.5f) + { + var sum = Sample3D(x, y, z, seed, frequency); + var amplitude = 1f; + var range = 1f; + for (var i = 1; i < octaves; i++) + { + frequency *= lacunarity; + amplitude *= persistence; + range += amplitude; + sum += Sample3D(x, y, z, seed, frequency) * amplitude; + } + + return sum * (1f / range); + } + /// /// 3 dimensional fractal perlin noise /// @@ -197,9 +315,18 @@ public static float Noise1D(float x, uint seed) return v * 0.5f + 0.5f; //Remap from -1 to 1, to 0 to 1 } + /// + /// Sample 1 dimensional perlin noise + /// + /// x position + /// rng seed + /// frequency at which to sample the noise + /// NoiseSample containing value between 0 and 1 (inclusive) and derivative public static NoiseSample Sample1D(float x, uint seed, float frequency = 1) { - var x0 = Mathf.FloorToInt(x * frequency); + x *= frequency; + + var x0 = Mathf.FloorToInt(x); var x1 = x0 + 1; var t0 = x - x0; @@ -217,20 +344,21 @@ public static NoiseSample Sample1D(float x, uint seed, float frequency = 1) var a = v0; var b = v1 - v0; + var da = g0; + var db = g1 - g0; //Because b = v1 - v0 = g0 * t0 - g1 * t1 + var v = a + b * t; - var dv = b * t; + var dv = da + db * t + b * dt; var sample = new NoiseSample { - value = v * 2f, + value = v + 0.5f, //Remap to 0 - 1 }; sample.derivative.x = dv; sample.derivative.y = 0; sample.derivative.z = 0; - sample.derivative *= frequency; - return sample; } @@ -275,6 +403,26 @@ public static float Noise2D(float x, float y, uint seed) return v * 0.5f + 0.5f; //Remap from -1 to 1, to 0 to 1 } + /// + /// Sample 2 dimensional perlin noise + /// + /// 2D Position + /// rng seed + /// frequency at which to sample the noise + /// NoiseSample containing value between 0 and 1 (inclusive) and derivative + public static NoiseSample Sample2D(Vector2 point, uint seed, float frequency = 1f) + { + return Sample2D(point.x, point.y, seed, frequency); + } + + /// + /// Sample 2 dimensional perlin noise + /// + /// x position + /// y position + /// rng seed + /// frequency at which to sample the noise + /// NoiseSample containing value between 0 and 1 (inclusive) and derivative public static NoiseSample Sample2D(float x, float y, uint seed, float frequency = 1f) { x *= frequency; @@ -305,22 +453,36 @@ public static NoiseSample Sample2D(float x, float y, uint seed, float frequency var tx = Smooth(tx0); var ty = Smooth(ty0); - var a = v00; - var b = v10 - v00; + float dtx = SmoothDerivative(tx0); + float dty = SmoothDerivative(ty0); - var v0 = Mathf.Lerp(v00, v10, tx); - var v1 = Mathf.Lerp(v01, v11, tx); - var v = Mathf.Lerp(v0, v1, ty) * Sqr2; + float a = v00; + float b = v10 - v00; + float c = v01 - v00; + float d = v11 - v01 - v10 + v00; + + var da = g00; + var db = g10 - g00; + var dc = g01 - g00; + var dd = g11 - g01 - g10 + g00; var sample = new NoiseSample { - + value = a + b * tx + (c + d * tx) * ty, }; + sample.value *= Sqr2; + + sample.derivative = da + db * tx + (dc + dd * tx) * ty; + sample.derivative.x += (b + d * ty) * dtx; + sample.derivative.y += (c + d * tx) * dty; + sample.derivative.z = 0f; + + sample.value = Mathf.InverseLerp(-1, 1, sample.value); + return sample; } - /// /// 2 dimensional perlin noise /// @@ -404,6 +566,117 @@ public static float Noise3D(float x, float y, float z, uint seed) return v * 0.5f + 0.5f; //Remap from -1 to 1, to 0 to 1 } + /// + /// Sample 3 dimensional perlin noise + /// + /// 3D Position + /// rng seed + /// frequency at which to sample the noise + /// NoiseSample containing value between 0 and 1 (inclusive) and derivative + public static NoiseSample Sample3D(Vector3 point, uint seed, float frequency = 1) + { + return Sample3D(point.x, point.y, point.z, seed, frequency); + } + + /// + /// Sample 3 dimensional perlin noise + /// + /// x position + /// y position + /// z position/param> + /// rng seed + /// frequency at which to sample the noise + /// NoiseSample containing value between 0 and 1 (inclusive) and derivative + public static NoiseSample Sample3D(float x, float y, float z, uint seed, float frequency = 1) + { + x *= frequency; + y *= frequency; + z *= frequency; + + var x0 = Mathf.FloorToInt(x); + var y0 = Mathf.FloorToInt(y); + var z0 = Mathf.FloorToInt(z); + + var tx0 = x - x0; + var ty0 = y - y0; + var tz0 = z - z0; + + var tx1 = tx0 - 1f; + var ty1 = ty0 - 1f; + var tz1 = tz0 - 1f; + + var x1 = x0 + 1; + var y1 = y0 + 1; + var z1 = z0 + 1; + + var h000 = Hash3D(x0, y0, z0, seed); + var h010 = Hash3D(x0, y1, z0, seed); + var h001 = Hash3D(x0, y0, z1, seed); + var h011 = Hash3D(x0, y1, z1, seed); + var h100 = Hash3D(x1, y0, z0, seed); + var h110 = Hash3D(x1, y1, z0, seed); + var h101 = Hash3D(x1, y0, z1, seed); + var h111 = Hash3D(x1, y1, z1, seed); + + var g000 = HashToGradient3D(h000); + var g100 = HashToGradient3D(h100); + var g010 = HashToGradient3D(h010); + var g110 = HashToGradient3D(h110); + var g001 = HashToGradient3D(h001); + var g101 = HashToGradient3D(h101); + var g011 = HashToGradient3D(h011); + var g111 = HashToGradient3D(h111); + + var v000 = Dot3D(g000, tx0, ty0, tz0); + var v100 = Dot3D(g100, tx1, ty0, tz0); + var v010 = Dot3D(g010, tx0, ty1, tz0); + var v110 = Dot3D(g110, tx1, ty1, tz0); + var v001 = Dot3D(g001, tx0, ty0, tz1); + var v101 = Dot3D(g101, tx1, ty0, tz1); + var v011 = Dot3D(g011, tx0, ty1, tz1); + var v111 = Dot3D(g111, tx1, ty1, tz1); + + var dtx = SmoothDerivative(tx0); + var dty = SmoothDerivative(ty0); + var dtz = SmoothDerivative(tz0); + + var tx = Smooth(tx0); + var ty = Smooth(ty0); + var tz = Smooth(tz0); + + var a = v000; + var b = v100 - v000; + var c = v010 - v000; + var d = v001 - v000; + var e = v110 - v010 - v100 + v000; + var f = v101 - v001 - v100 + v000; + var g = v011 - v001 - v010 + v000; + var h = v111 - v011 - v101 + v001 - v110 + v010 + v100 - v000; + + var da = g000; + var db = g100 - g000; + var dc = g010 - g000; + var dd = g001 - g000; + var de = g110 - g010 - g100 + g000; + var df = g101 - g001 - g100 + g000; + var dg = g011 - g001 - g010 + g000; + var dh = g111 - g011 - g101 + g001 - g110 + g010 + g100 - g000; + + var sample = new NoiseSample + { + value = a + b * tx + (c + e * tx) * ty + (d + f * tx + (g + h * tx) * ty) * tz, + derivative = da + db * tx + (dc + de * tx) * ty + (dd + df * tx + (dg + dh * tx) * ty) * tz + }; + + sample.derivative.x += (b + e * ty + (f + h * ty) * tz) * dtx; + sample.derivative.y += (c + e * tx + (g + h * tx) * tz) * dty; + sample.derivative.z += (d + f * tx + (g + h * tx) * ty) * dtz; + + sample.value = Mathf.InverseLerp(-1, 1, sample.value); + + return sample; + } + /// /// 3 dimensional perlin noise /// @@ -467,15 +740,4 @@ private static float SmoothDerivative(float t) return SmoothStep.Degree5Derivative(t); } } - - public static class SimplexGradientNoise - { - public static float Noise1D(float x, uint seed) - { - var x0 = Mathf.FloorToInt(x); - var x1 = x - x0; - - return 0; - } - } } diff --git a/Runtime/Utility/SimplexGradientNoise.cs b/Runtime/Utility/SimplexGradientNoise.cs new file mode 100644 index 0000000..dafb03a --- /dev/null +++ b/Runtime/Utility/SimplexGradientNoise.cs @@ -0,0 +1,15 @@ +using UnityEngine; + +namespace Gameframe.Procgen +{ + public static class SimplexGradientNoise + { + public static float Noise1D(float x, uint seed) + { + var x0 = Mathf.FloorToInt(x); + var x1 = x - x0; + + return 0; + } + } +} \ No newline at end of file diff --git a/Runtime/Utility/SimplexGradientNoise.cs.meta b/Runtime/Utility/SimplexGradientNoise.cs.meta new file mode 100644 index 0000000..a63a327 --- /dev/null +++ b/Runtime/Utility/SimplexGradientNoise.cs.meta @@ -0,0 +1,3 @@ +fileFormatVersion: 2 +guid: 4e958a40d4dc4d8e8493766d9eadf3f2 +timeCreated: 1674539768 \ No newline at end of file diff --git a/Runtime/Utility/ValueNoise.cs b/Runtime/Utility/ValueNoise.cs index b005725..cc2c286 100644 --- a/Runtime/Utility/ValueNoise.cs +++ b/Runtime/Utility/ValueNoise.cs @@ -1,3 +1,4 @@ +using System.Drawing; using UnityEngine; namespace Gameframe.Procgen @@ -82,6 +83,28 @@ public static float Fractal2D(float x, float y, uint seed, float frequency, int return sum / range; } + public static NoiseSample FractalSample2D(Vector2 point, uint seed, float frequency, int octaves, float lacunarity = 2f, float persistence = 0.5f) + { + return FractalSample2D(point.x, point.y, seed, frequency, octaves, lacunarity, persistence); + } + + public static NoiseSample FractalSample2D(float x, float y, uint seed, float frequency, int octaves, + float lacunarity = 2f, float persistence = 0.5f) + { + var sum = Sample2D(x * frequency, y * frequency, seed); + var amplitude = 1f; + var range = 1f; + for (var i = 1; i < octaves; i++) + { + frequency *= lacunarity; + amplitude *= persistence; + range += amplitude; + sum += Sample2D(x * frequency, y * frequency, seed) * amplitude; + } + + return sum * (1f / range); + } + /// /// 2 dimensional fractal perlin noise /// @@ -127,6 +150,28 @@ public static float Fractal3D(float x, float y, float z, uint seed, float freque return sum / range; } + public static NoiseSample FractalSample3D(Vector3 point, uint seed, float frequency, int octaves, float lacunarity = 2f, float persistence = 0.5f) + { + return FractalSample3D(point.x, point.y, point.z, seed, frequency, octaves, lacunarity, persistence); + } + + public static NoiseSample FractalSample3D(float x, float y, float z, uint seed, float frequency, int octaves, + float lacunarity = 2f, float persistence = 0.5f) + { + var sum = Sample3D(x * frequency, y * frequency, z * frequency, seed); + var amplitude = 1f; + var range = 1f; + for (var i = 1; i < octaves; i++) + { + frequency *= lacunarity; + amplitude *= persistence; + range += amplitude; + sum += Sample3D(x * frequency, y * frequency, z * frequency, seed) * amplitude; + } + + return sum * (1f / range); + } + /// /// 3 dimensional fractal perlin noise /// @@ -166,8 +211,9 @@ public static NoiseSample Sample1D(float x, uint seed, float frequency = 1) var x0 = Mathf.FloorToInt(x); var x1 = x0 + 1; - var t = Smooth(x - x0); - var dt = SmoothDerivative(x - x0); + var t = x - x0; + var dt = SmoothDerivative(t); + t = Smooth(t); var v0 = SquirrelEiserloh.Get1dNoiseZeroToOne(x0, seed); var v1 = SquirrelEiserloh.Get1dNoiseZeroToOne(x1, seed); @@ -186,8 +232,6 @@ public static NoiseSample Sample1D(float x, uint seed, float frequency = 1) sample.derivative.y = 0; sample.derivative.z = 0; - sample.derivative *= frequency; - return sample; } @@ -251,8 +295,6 @@ public static NoiseSample Sample2D(float x, float y, uint seed, float frequency sample.derivative.y = (c + d * tx) * dty; sample.derivative.z = 0; - sample.derivative *= frequency; - return sample; } @@ -304,6 +346,63 @@ public static float Noise3D(float x, float y, float z, uint seed) return Mathf.Lerp(yEdge1, yEdge2, tz); } + public static NoiseSample Sample3D(float x, float y, float z, uint seed, float frequency = 1f) + { + x *= frequency; + y *= frequency; + z *= frequency; + + var x0 = Mathf.FloorToInt(x); + var y0 = Mathf.FloorToInt(y); + var z0 = Mathf.FloorToInt(z); + + var x1 = x0 + 1; + var y1 = y0 + 1; + var z1 = z0 + 1; + + var tx = x - x0; + var ty = y - y0; + var tz = z - z0; + + var dtx = SmoothDerivative(tx); + var dty = SmoothDerivative(ty); + var dtz = SmoothDerivative(tz); + + tx = Smooth(tx); + ty = Smooth(ty); + tz = Smooth(tz); + + var v000 = SquirrelEiserloh.Get3dNoiseZeroToOne(x0, y0, z0, seed); + var v010 = SquirrelEiserloh.Get3dNoiseZeroToOne(x0, y1, z0, seed); + var v001 = SquirrelEiserloh.Get3dNoiseZeroToOne(x0, y0, z1, seed); + var v011 = SquirrelEiserloh.Get3dNoiseZeroToOne(x0, y1, z1, seed); + + var v100 = SquirrelEiserloh.Get3dNoiseZeroToOne(x1, y0, z0, seed); + var v110 = SquirrelEiserloh.Get3dNoiseZeroToOne(x1, y1, z0, seed); + var v101 = SquirrelEiserloh.Get3dNoiseZeroToOne(x1, y0, z1, seed); + var v111 = SquirrelEiserloh.Get3dNoiseZeroToOne(x1, y1, z1, seed); + + float a = v000; + float b = v100 - v000; + float c = v010 - v000; + float d = v001 - v000; + float e = v110 - v010 - v100 + v000; + float f = v101 - v001 - v100 + v000; + float g = v011 - v001 - v010 + v000; + float h = v111 - v011 - v101 + v001 - v110 + v010 + v100 - v000; + + var sample = new NoiseSample + { + value = a + b * tx + (c + e * tx) * ty + (d + f * tx + (g + h * tx) * ty) * tz + }; + + sample.derivative.x = (b + e * ty + (f + h * ty) * tz) * dtx; + sample.derivative.y = (c + e * tx + (g + h * tx) * tz) * dty; + sample.derivative.z = (d + f * tx + (g + h * tx) * ty) * dtz; + + return sample; + } + #endregion private static float Smooth(float t) diff --git a/Runtime/Visualizers/SurfaceMeshVisualizer.cs b/Runtime/Visualizers/SurfaceMeshVisualizer.cs index ab3df0c..37f5cf8 100644 --- a/Runtime/Visualizers/SurfaceMeshVisualizer.cs +++ b/Runtime/Visualizers/SurfaceMeshVisualizer.cs @@ -61,6 +61,8 @@ public enum Dimension [SerializeField] private Dimension dimension = Dimension.Value2D; + private Vector3 prevLocation; + private void OnEnable() { if (mesh == null) @@ -73,6 +75,14 @@ private void OnEnable() Refresh(); } + private void Update() + { + if (prevLocation != transform.position) + { + Refresh(); + } + } + private void OnDrawGizmosSelected() { if (showNormals && vertices != null) @@ -85,6 +95,16 @@ private void OnDrawGizmosSelected() } } + float minSample = float.MaxValue; + float maxSample = float.MinValue; + + [ContextMenu("ResetMinMax")] + public void ResetMinMax() + { + minSample = float.MaxValue; + maxSample = float.MinValue; + } + [ContextMenu("Refresh")] private void Refresh() { @@ -94,14 +114,12 @@ private void Refresh() CreateMesh(); } + prevLocation = transform.position; var point00 = transform.TransformPoint(new Vector3(-0.5f, 0, -0.5f)) + offset; var point10 = transform.TransformPoint(new Vector3(0.5f, 0, -0.5f)) + offset; var point01 = transform.TransformPoint(new Vector3(-0.5f, 0, 0.5f)) + offset; var point11 = transform.TransformPoint(new Vector3(0.5f, 0, 0.5f)) + offset; - var minSample = float.MaxValue; - var maxSample = float.MinValue; - var stepSize = 1f / resolution; for (int v = 0, y = 0; y <= resolution; y++) { @@ -113,13 +131,13 @@ private void Refresh() var sample = Noise(point); minSample = Mathf.Min(sample.value, minSample); maxSample = Mathf.Max(sample.value, maxSample); - vertices[v].y = (sample.value - 0.5f) * strength; + vertices[v].y = sample.value * strength; colors[v] = coloring.Evaluate(sample.value); - normals[v] = new Vector3(sample.derivative.x, 1, 0).normalized; + normals[v] = new Vector3(-sample.derivative.x, 1, -sample.derivative.z).normalized; } } - //Debug.Log($"Min: {minSample} Max:{maxSample}"); + Debug.Log($"Min: {minSample} Max:{maxSample}"); mesh.vertices = vertices; mesh.normals = normals; @@ -135,8 +153,8 @@ private void ForceRefresh() private NoiseSample Noise(Vector3 point) { - var v = 0f; var sample = new NoiseSample(); + switch (dimension) { case Dimension.Value1D: @@ -145,26 +163,19 @@ private NoiseSample Noise(Vector3 point) //v = ValueNoise.Fractal1D(point.x * frequency, seed, frequency, octaves, lacunarity, persistence); break; case Dimension.Value2D: - v = ValueNoise.Fractal2D(point * frequency, seed, frequency, octaves, lacunarity, persistence); - sample.value = v; + sample = ValueNoise.FractalSample2D(point * frequency, seed, frequency, octaves, lacunarity, persistence); break; case Dimension.Value3D: - v = ValueNoise.Fractal3D(point * frequency, seed, frequency, octaves, lacunarity, persistence); - sample.value = v; + sample = ValueNoise.FractalSample3D(point * frequency, seed, frequency, octaves, lacunarity, persistence); break; case Dimension.Perlin1D: - v = PerlinGradientNoise.Fractal1D(point.x, seed, frequency, octaves, lacunarity, persistence); - sample.value = v; + sample = PerlinGradientNoise.FractalSample1D(point.x, seed, frequency, octaves, lacunarity, persistence); break; case Dimension.Perlin2D: - v = PerlinGradientNoise.Fractal2D(point.x, point.y, seed, frequency, octaves, lacunarity, - persistence); - sample.value = v; + sample = PerlinGradientNoise.FractalSample2D(point.x, point.y, seed, frequency, octaves, lacunarity, persistence); break; case Dimension.Perlin3D: - v = PerlinGradientNoise.Fractal3D(point.x, point.y, point.z, seed, frequency, octaves, lacunarity, - persistence); - sample.value = v; + sample = PerlinGradientNoise.FractalSample3D(point.x, point.y, point.z, seed, frequency, octaves, lacunarity, persistence); break; } From d1c91c35dd4181447c66e657c54294feb2fd555c Mon Sep 17 00:00:00 2001 From: Cory Leach Date: Tue, 24 Jan 2023 01:15:14 -0600 Subject: [PATCH 12/21] Testing sample Perlin methods with texture visualizer --- Runtime/Visualizers/NoiseVisualizer2D.cs | 10 +++++++++- Runtime/Visualizers/SurfaceMeshVisualizer.cs | 2 +- 2 files changed, 10 insertions(+), 2 deletions(-) diff --git a/Runtime/Visualizers/NoiseVisualizer2D.cs b/Runtime/Visualizers/NoiseVisualizer2D.cs index 9788326..5be7beb 100644 --- a/Runtime/Visualizers/NoiseVisualizer2D.cs +++ b/Runtime/Visualizers/NoiseVisualizer2D.cs @@ -29,7 +29,9 @@ public enum Dimension Value3D, Perlin1D, Perlin2D, - Perlin3D + Perlin3D, + SamplePerlin2D, + SamplePerlin3D, } [SerializeField] private Dimension dimension = Dimension.Value2D; @@ -110,6 +112,12 @@ private void Generate() case Dimension.Perlin3D: v = PerlinGradientNoise.Fractal3D(point.x, point.y, point.z, seed, frequency, octaves, lacunarity, persistence); break; + case Dimension.SamplePerlin2D: + v = PerlinGradientNoise.FractalSample2D(point.x, point.y, seed, frequency, octaves, lacunarity, persistence).value; + break; + case Dimension.SamplePerlin3D: + v = PerlinGradientNoise.FractalSample3D(point.x, point.y, point.z, seed, frequency, octaves, lacunarity, persistence).value; + break; default: throw new ArgumentOutOfRangeException(); } diff --git a/Runtime/Visualizers/SurfaceMeshVisualizer.cs b/Runtime/Visualizers/SurfaceMeshVisualizer.cs index 37f5cf8..92b60cf 100644 --- a/Runtime/Visualizers/SurfaceMeshVisualizer.cs +++ b/Runtime/Visualizers/SurfaceMeshVisualizer.cs @@ -56,7 +56,7 @@ public enum Dimension Value3D, Perlin1D, Perlin2D, - Perlin3D + Perlin3D, } [SerializeField] private Dimension dimension = Dimension.Value2D; From 976cbf77c8d226eb324c8b7d76d3edfd5ce698a9 Mon Sep 17 00:00:00 2001 From: Cory Leach Date: Sat, 25 Feb 2023 00:36:33 -0600 Subject: [PATCH 13/21] Simplex value 1D and 2D --- Runtime/Utility/SimplexGradientNoise.cs | 95 ++++++++++++++++++-- Runtime/Visualizers/NoiseVisualizer2D.cs | 69 ++++++++++---- Runtime/Visualizers/SurfaceMeshVisualizer.cs | 6 +- Runtime/com.gameframe.procgen.asmdef | 15 +++- 4 files changed, 159 insertions(+), 26 deletions(-) diff --git a/Runtime/Utility/SimplexGradientNoise.cs b/Runtime/Utility/SimplexGradientNoise.cs index dafb03a..58490d3 100644 --- a/Runtime/Utility/SimplexGradientNoise.cs +++ b/Runtime/Utility/SimplexGradientNoise.cs @@ -4,12 +4,97 @@ namespace Gameframe.Procgen { public static class SimplexGradientNoise { - public static float Noise1D(float x, uint seed) + private static readonly float SquaresToTriangles = (3f - Mathf.Sqrt(3f)) / 6f; + private static readonly float TrianglesToSquares = (Mathf.Sqrt(3f) - 1f) / 2f; + + #region 1D + + public static NoiseSample SimplexValue1D(float pointX, uint seed, float frequency) + { + pointX *= frequency; + var ix = Mathf.Floor(pointX); + + //Sample left + var sample = _SimplexValue1DPart(pointX, ix, seed); + //Sample right + sample += _SimplexValue1DPart(pointX, ix + 1, seed); + return sample; + } + + private static NoiseSample _SimplexValue1DPart(float pointX, float ix, uint seed) { - var x0 = Mathf.FloorToInt(x); - var x1 = x - x0; + var x = pointX - ix; + var f = 1f - x * x; + var f2 = f * f; + var f3 = f * f2; - return 0; + var h = Hash1D((int) ix, seed); + + return new NoiseSample + { + value = f3 * h + }; } + + private static float Hash1D(int value, uint seed) + { + return SquirrelEiserloh.Get1dNoiseZeroToOne(value, seed); + } + + #endregion + + #region 2D + + public static NoiseSample SimplexValue2D(float x, float y, uint seed, float frequency) + { + x *= frequency; + y *= frequency; + + //Skew + var skew = (x + y) * TrianglesToSquares; + var sx = x + skew; + var sy = y + skew; + + var ix = Mathf.FloorToInt(sx); + var iy = Mathf.FloorToInt(sy); + + var sample = _SimplexValue2DPart(x, y, ix, iy, seed); + sample += _SimplexValue2DPart(x, y, ix + 1, iy + 1, seed); + + if (sx - ix >= sy - iy) + { + sample += _SimplexValue2DPart(x, y, ix + 1, iy, seed); + } + else + { + sample += _SimplexValue2DPart(x, y, ix, iy + 1, seed); + } + + return sample * 8; + } + + private static NoiseSample _SimplexValue2DPart(float x, float y, int ix, int iy, uint seed) + { + var unskew = (ix + iy) * SquaresToTriangles; + + var x2 = x - ix + unskew; + var y2 = y - iy + unskew; + var f = 0.5f - x2 * x2 - y2 * y2; + var f2 = f * f; + var f3 = f * f2; + + var sample = new NoiseSample + { + value = (f > 0 ? f3 : 0) * Hash2D(ix, iy, seed), + }; + return sample; + } + + private static float Hash2D(int x, int y, uint seed) + { + return SquirrelEiserloh.Get2dNoiseZeroToOne(x, y, seed); + } + + #endregion } -} \ No newline at end of file +} diff --git a/Runtime/Visualizers/NoiseVisualizer2D.cs b/Runtime/Visualizers/NoiseVisualizer2D.cs index 5be7beb..7237a7e 100644 --- a/Runtime/Visualizers/NoiseVisualizer2D.cs +++ b/Runtime/Visualizers/NoiseVisualizer2D.cs @@ -7,8 +7,7 @@ namespace Gameframe.Procgen [ExecuteAlways] public class NoiseVisualizer2D : MonoBehaviour { - [SerializeField] - private Renderer _renderer; + [SerializeField] private Renderer _renderer; [SerializeField] private int textureResolution = 256; @@ -22,6 +21,16 @@ public class NoiseVisualizer2D : MonoBehaviour private Texture2D _texture; + private float minValue = float.MaxValue; + private float maxValue = float.MinValue; + + [ContextMenu("ResetMinMax")] + public void ResetMinMax() + { + minValue = float.MaxValue; + maxValue = float.MinValue; + } + public enum Dimension { Value1D, @@ -32,10 +41,14 @@ public enum Dimension Perlin3D, SamplePerlin2D, SamplePerlin3D, + SimplexValue1D, + SimplexValue2D, } [SerializeField] private Dimension dimension = Dimension.Value2D; + [SerializeField] private Vector3 offset; + private void OnEnable() { Generate(); @@ -48,7 +61,7 @@ private void OnDisable() private Texture2D CreateTexture() { - var tex = new Texture2D(textureResolution, textureResolution) + var tex = new Texture2D(textureResolution, textureResolution) { filterMode = filterMode }; @@ -75,10 +88,10 @@ private void Generate() _texture.filterMode = filterMode; - var point00 = transform.TransformPoint(new Vector3(-0.5f,-0.5f)); - var point10 = transform.TransformPoint(new Vector3( 0.5f,-0.5f)); + var point00 = transform.TransformPoint(new Vector3(-0.5f, -0.5f)); + var point10 = transform.TransformPoint(new Vector3(0.5f, -0.5f)); var point01 = transform.TransformPoint(new Vector3(-0.5f, 0.5f)); - var point11 = transform.TransformPoint(new Vector3( 0.5f, 0.5f)); + var point11 = transform.TransformPoint(new Vector3(0.5f, 0.5f)); var stepSize = 1f / textureResolution; @@ -89,43 +102,62 @@ private void Generate() for (var x = 0; x < textureResolution; x++) { - var point = Vector3.Lerp(point0, point1, (x + 0.5f) * stepSize); + var point = Vector3.Lerp(point0, point1, (x + 0.5f) * stepSize) + offset; var v = 0f; switch (dimension) { case Dimension.Value1D: - v = ValueNoise.Fractal1D(point.x * frequency, seed, frequency, octaves, lacunarity, persistence); + v = ValueNoise.Fractal1D(point.x * frequency, seed, frequency, octaves, lacunarity, + persistence); break; case Dimension.Value2D: - v = ValueNoise.Fractal2D(point * frequency, seed, frequency, octaves, lacunarity, persistence); + v = ValueNoise.Fractal2D(point * frequency, seed, frequency, octaves, lacunarity, + persistence); break; case Dimension.Value3D: - v = ValueNoise.Fractal3D(point * frequency, seed, frequency, octaves, lacunarity, persistence); + v = ValueNoise.Fractal3D(point * frequency, seed, frequency, octaves, lacunarity, + persistence); break; case Dimension.Perlin1D: - v = PerlinGradientNoise.Fractal1D(point.x, seed, frequency, octaves, lacunarity, persistence); + v = PerlinGradientNoise.Fractal1D(point.x, seed, frequency, octaves, lacunarity, + persistence); break; case Dimension.Perlin2D: - v = PerlinGradientNoise.Fractal2D(point.x, point.y, seed, frequency, octaves, lacunarity, persistence); + v = PerlinGradientNoise.Fractal2D(point.x, point.y, seed, frequency, octaves, lacunarity, + persistence); break; case Dimension.Perlin3D: - v = PerlinGradientNoise.Fractal3D(point.x, point.y, point.z, seed, frequency, octaves, lacunarity, persistence); + v = PerlinGradientNoise.Fractal3D(point.x, point.y, point.z, seed, frequency, octaves, + lacunarity, persistence); break; case Dimension.SamplePerlin2D: - v = PerlinGradientNoise.FractalSample2D(point.x, point.y, seed, frequency, octaves, lacunarity, persistence).value; + v = PerlinGradientNoise.FractalSample2D(point.x, point.y, seed, frequency, octaves, + lacunarity, persistence).value; break; case Dimension.SamplePerlin3D: - v = PerlinGradientNoise.FractalSample3D(point.x, point.y, point.z, seed, frequency, octaves, lacunarity, persistence).value; + v = PerlinGradientNoise.FractalSample3D(point.x, point.y, point.z, seed, frequency, octaves, + lacunarity, persistence).value; + break; + case Dimension.SimplexValue1D: + v = SimplexGradientNoise.SimplexValue1D(point.x, seed, frequency).value; + break; + case Dimension.SimplexValue2D: + v = SimplexGradientNoise.SimplexValue2D(point.x, point.y, seed, frequency).value; break; default: throw new ArgumentOutOfRangeException(); } - _texture.SetPixel(x,y, new Color(v,v,v,1f)); + minValue = Mathf.Min(v, minValue); + maxValue = Mathf.Max(v, maxValue); + + _texture.SetPixel(x, y, new Color(v, v, v, 1f)); } } + Debug.Log($"Min: {minValue} Max: {maxValue}"); + _texture.Apply(); _renderer.sharedMaterial.mainTexture = _texture; @@ -139,7 +171,8 @@ private void SaveTexture() Debug.LogError("Texture does not exist"); return; } - TextureUtility.SaveTextureAsPNG(_texture,Application.dataPath + "GeneratedTexture.png"); + + TextureUtility.SaveTextureAsPNG(_texture, Application.dataPath + "GeneratedTexture.png"); } private void ClearTexture() @@ -165,6 +198,4 @@ private void OnValidate() } } } - - } diff --git a/Runtime/Visualizers/SurfaceMeshVisualizer.cs b/Runtime/Visualizers/SurfaceMeshVisualizer.cs index 92b60cf..2f0cece 100644 --- a/Runtime/Visualizers/SurfaceMeshVisualizer.cs +++ b/Runtime/Visualizers/SurfaceMeshVisualizer.cs @@ -57,6 +57,7 @@ public enum Dimension Perlin1D, Perlin2D, Perlin3D, + Simplex1D, } [SerializeField] private Dimension dimension = Dimension.Value2D; @@ -177,13 +178,16 @@ private NoiseSample Noise(Vector3 point) case Dimension.Perlin3D: sample = PerlinGradientNoise.FractalSample3D(point.x, point.y, point.z, seed, frequency, octaves, lacunarity, persistence); break; + case Dimension.Simplex1D: + //sample = SimplexGradientNoise.Noise1D(point.x, seed); + break; } - return sample; } private void CreateMesh() { + Debug.Log("Create Mesh"); currentResolution = resolution; if (mesh == null) diff --git a/Runtime/com.gameframe.procgen.asmdef b/Runtime/com.gameframe.procgen.asmdef index 3c7043e..c2c11fd 100644 --- a/Runtime/com.gameframe.procgen.asmdef +++ b/Runtime/com.gameframe.procgen.asmdef @@ -1 +1,14 @@ -{ "name": "com.gameframe.procgen" } \ No newline at end of file +{ + "name": "com.gameframe.procgen", + "rootNamespace": "", + "references": [], + "includePlatforms": [], + "excludePlatforms": [], + "allowUnsafeCode": false, + "overrideReferences": false, + "precompiledReferences": [], + "autoReferenced": true, + "defineConstraints": [], + "versionDefines": [], + "noEngineReferences": false +} \ No newline at end of file From b89fb885f28fe4ee6a63abf71f994e11cea2ba1b Mon Sep 17 00:00:00 2001 From: Cory Leach Date: Sat, 25 Feb 2023 03:43:16 -0600 Subject: [PATCH 14/21] Gradient simplex Still an issue in Gradient 2D noise. 3D is just placeholder still. --- Runtime/Utility/SimplexGradientNoise.cs | 461 ++++++++++++++++++- Runtime/Visualizers/NoiseVisualizer2D.cs | 20 +- Runtime/Visualizers/SurfaceMeshVisualizer.cs | 26 +- 3 files changed, 486 insertions(+), 21 deletions(-) diff --git a/Runtime/Utility/SimplexGradientNoise.cs b/Runtime/Utility/SimplexGradientNoise.cs index 58490d3..eea96ee 100644 --- a/Runtime/Utility/SimplexGradientNoise.cs +++ b/Runtime/Utility/SimplexGradientNoise.cs @@ -2,37 +2,183 @@ namespace Gameframe.Procgen { + public static class NoiseGradients + { + public const int GradientsMask1D = 1; + public static readonly float[] Gradients1D = new[] {1f, -1f}; + + public const int GradientsMask2D = 7; + + public static readonly Vector2[] Gradients2D = + { + new Vector2(1f, 0f), + new Vector2(-1f, 0f), + new Vector2(0f, 1f), + new Vector2(0f, -1f), + new Vector2(1f, 1f).normalized, + new Vector2(-1f, 1f).normalized, + new Vector2(1f, -1f).normalized, + new Vector2(-1f, -1f).normalized + }; + + public const int GradientsMask3D = 15; + + public static readonly Vector3[] Gradients3D = + { + new Vector3( 1f, 1f, 0f), + new Vector3(-1f, 1f, 0f), + new Vector3( 1f,-1f, 0f), + new Vector3(-1f,-1f, 0f), + new Vector3( 1f, 0f, 1f), + new Vector3(-1f, 0f, 1f), + new Vector3( 1f, 0f,-1f), + new Vector3(-1f, 0f,-1f), + new Vector3( 0f, 1f, 1f), + new Vector3( 0f,-1f, 1f), + new Vector3( 0f, 1f,-1f), + new Vector3( 0f,-1f,-1f), + + new Vector3( 1f, 1f, 0f), + new Vector3(-1f, 1f, 0f), + new Vector3( 0f,-1f, 1f), + new Vector3( 0f,-1f,-1f) + }; + + private static float HashToGradient1D(uint value) + { + return Gradients1D[value & GradientsMask1D]; + } + + public static float HashToGradient1D(int x, uint seed) + { + return HashToGradient1D(Hash1D(x, seed)); + } + + public static Vector2 HashToGradient2D(uint value) + { + return Gradients2D[value & GradientsMask2D]; + } + + public static Vector2 HashToGradient2D(int x, int y, uint seed) + { + return HashToGradient2D(Hash2D(x,y,seed)); + } + + private static Vector3 HashToGradient3D(uint value) + { + return Gradients3D[value & GradientsMask3D]; + } + + public static Vector3 HashToGradient3D(int x, int y, int z, uint seed) + { + return HashToGradient3D(Hash3D(x, y, z, seed)); + } + + public static uint Hash1D(int value, uint seed) + { + return SquirrelEiserloh.Get1dNoiseUint(value, seed); + } + + private static uint Hash2D(int x, int y, uint seed) + { + return SquirrelEiserloh.Get2dNoiseUint(x, y, seed); + } + + private static uint Hash3D(int x, int y, int z, uint seed) + { + return SquirrelEiserloh.Get3dNoiseUint(x, y, z, seed); + } + + public static float Dot2D(Vector2 g, float x, float y) + { + return g.x * x + g.y * y; + } + + public static float Dot3D(Vector3 g, float x, float y, float z) + { + return g.x * x + g.y * y + g.z * z; + } + } + public static class SimplexGradientNoise { private static readonly float SquaresToTriangles = (3f - Mathf.Sqrt(3f)) / 6f; private static readonly float TrianglesToSquares = (Mathf.Sqrt(3f) - 1f) / 2f; + private static readonly float Sqr2 = Mathf.Sqrt(2f); + private static readonly float SimplexScale2D = 2916f * Sqr2 / 125f; + private static readonly float SimplexScale1D = 64f / 27f; #region 1D - public static NoiseSample SimplexValue1D(float pointX, uint seed, float frequency) + public static NoiseSample SampleValue1D(float pointX, uint seed, float frequency) { pointX *= frequency; - var ix = Mathf.Floor(pointX); + + var ix = Mathf.FloorToInt(pointX); //Sample left - var sample = _SimplexValue1DPart(pointX, ix, seed); + var sample = _Value1DPart(pointX, ix, seed); //Sample right - sample += _SimplexValue1DPart(pointX, ix + 1, seed); + sample += _Value1DPart(pointX, ix + 1, seed); + + sample.derivative *= frequency; + return sample; } - private static NoiseSample _SimplexValue1DPart(float pointX, float ix, uint seed) + private static NoiseSample _Value1DPart(float pointX, int ix, uint seed) { var x = pointX - ix; var f = 1f - x * x; var f2 = f * f; var f3 = f * f2; - var h = Hash1D((int) ix, seed); + var h = Hash1D(ix, seed); return new NoiseSample { - value = f3 * h + value = f3 * h, + derivative = new Vector3 + { + x = -6f * h * x * f2 + } + }; + } + + public static NoiseSample SampleGradient1D(float pointX, uint seed, float frequency) + { + pointX *= frequency; + + var ix = Mathf.FloorToInt(pointX); + + //Sample left + var sample = _Gradient1DPart(pointX, ix, seed); + //Sample right + sample += _Gradient1DPart(pointX, ix + 1, seed); + + sample.derivative *= frequency; + sample *= SimplexScale1D; + sample.value = (sample.value + 1) * 0.5f; + return sample; + } + + private static NoiseSample _Gradient1DPart(float pointX, int ix, uint seed) + { + var x = pointX - ix; + var f = 1f - x * x; + var f2 = f * f; + var f3 = f * f2; + + var g = NoiseGradients.HashToGradient1D(ix, seed); + var v = g * x; + + return new NoiseSample + { + value = f3 * v, + derivative = new Vector3 + { + x = g * f3 - 6f * v * x * f2, + } }; } @@ -45,7 +191,7 @@ private static float Hash1D(int value, uint seed) #region 2D - public static NoiseSample SimplexValue2D(float x, float y, uint seed, float frequency) + public static NoiseSample SampleValue2D(float x, float y, uint seed, float frequency) { x *= frequency; y *= frequency; @@ -58,22 +204,24 @@ public static NoiseSample SimplexValue2D(float x, float y, uint seed, float freq var ix = Mathf.FloorToInt(sx); var iy = Mathf.FloorToInt(sy); - var sample = _SimplexValue2DPart(x, y, ix, iy, seed); - sample += _SimplexValue2DPart(x, y, ix + 1, iy + 1, seed); + var sample = _Value2DPart(x, y, ix, iy, seed); + sample += _Value2DPart(x, y, ix + 1, iy + 1, seed); if (sx - ix >= sy - iy) { - sample += _SimplexValue2DPart(x, y, ix + 1, iy, seed); + sample += _Value2DPart(x, y, ix + 1, iy, seed); } else { - sample += _SimplexValue2DPart(x, y, ix, iy + 1, seed); + sample += _Value2DPart(x, y, ix, iy + 1, seed); } + sample.derivative *= frequency; + return sample * 8; } - private static NoiseSample _SimplexValue2DPart(float x, float y, int ix, int iy, uint seed) + private static NoiseSample _Value2DPart(float x, float y, int ix, int iy, uint seed) { var unskew = (ix + iy) * SquaresToTriangles; @@ -83,18 +231,299 @@ private static NoiseSample _SimplexValue2DPart(float x, float y, int ix, int iy, var f2 = f * f; var f3 = f * f2; - var sample = new NoiseSample + if (f > 0) { - value = (f > 0 ? f3 : 0) * Hash2D(ix, iy, seed), - }; + var h = Hash2D(ix, iy, seed); + var h6f2 = -6f * h * f2; + + return new NoiseSample + { + value = f3 * h, + derivative = new Vector3 + { + x = h6f2 * x, + y = h6f2 * y, + } + }; + } + + return new NoiseSample(); + } + + public static NoiseSample SampleGradient2D(float x, float y, uint seed, float frequency) + { + x *= frequency; + y *= frequency; + + //Skew + var skew = (x + y) * TrianglesToSquares; + var sx = x + skew; + var sy = y + skew; + + var ix = Mathf.FloorToInt(sx); + var iy = Mathf.FloorToInt(sy); + + var sample = _Gradient2DPart(x, y, ix, iy, seed); + sample += _Gradient2DPart(x, y, ix + 1, iy + 1, seed); + + if (sx - ix >= sy - iy) + { + sample += _Gradient2DPart(x, y, ix + 1, iy, seed); + } + else + { + sample += _Gradient2DPart(x, y, ix, iy + 1, seed); + } + + sample.derivative *= frequency; + //sample.value *= (SimplexScale2D / 43.71107f); + //sample.value = (sample.value + 1) * 0.5f; + + //sample.value *= SimplexScale2D; //32.99077 + //Debug.Log($"Scale2D : {SimplexScale2D}"); + return sample; } + private static NoiseSample _Gradient2DPart(float x, float y, int ix, int iy, uint seed) + { + var unskew = (ix + iy) * SquaresToTriangles; + + var x2 = x - ix + unskew; + var y2 = y - iy + unskew; + var f = 0.5f - x2 * x2 - y2 * y2; + var f2 = f * f; + var f3 = f * f2; + + + if (f > 0) + { + var g = NoiseGradients.HashToGradient2D(ix, iy, seed); + var v = NoiseGradients.Dot2D(g, x, y); + var v6f2 = -6f * v * f2; + + return new NoiseSample + { + value = f3 * v, + derivative = new Vector3 + { + x = g.x * f3 + v6f2 * x, + y = g.y * f3 + v6f2 * y, + } + }; + } + + return new NoiseSample(); + } + private static float Hash2D(int x, int y, uint seed) { return SquirrelEiserloh.Get2dNoiseZeroToOne(x, y, seed); } #endregion + + #region 3D + + private static NoiseSample _Value3DPart(float x, float y, float z, int ix, int iy, int iz, uint seed) + { + var unskew = (ix + iy + iz) * (1f / 6f); + var x2 = x - ix + unskew; + var y2 = y - iy + unskew; + var z2 = z - iz + unskew; + var f = 0.5f - x2 * x2 - y2 * y2 - z2 * z2; + var sample = new NoiseSample(); + + if (f > 0f) + { + var h = Hash3D(ix, iy, iz, seed); + var f2 = f * f; + var f3 = f * f2; + sample.value = f3 * h; + + var h6f2 = -6f * h * f2; + sample.derivative = new Vector3 + { + x = x * h6f2, + y = y * h6f2, + z = z * h6f2, + }; + } + + return sample; + } + + public static NoiseSample SampleValue3D(float x, float y, float z, uint seed, float frequency) + { + x *= frequency; + y *= frequency; + z *= frequency; + + var skew = (x + y + z) * (1f / 3f); + var sx = x + skew; + var sy = y + skew; + var sz = z + skew; + + var ix = Mathf.FloorToInt(sx); + var iy = Mathf.FloorToInt(sy); + var iz = Mathf.FloorToInt(sz); + + var sample = _Value3DPart(x, y, z, ix, iy, iz, seed); + + sample += _Value3DPart(x, y, z, ix + 1, iy + 1, iz + 1, seed); + + var tetX = sx - ix; + var tetY = sy - iy; + var tetZ = sz - iz; + + if (tetX >= tetY) + { + if (tetX >= tetZ) + { + sample += _Value3DPart(x, y, z, ix + 1, iy, iz, seed); + if (tetY >= tetZ) + { + sample += _Value3DPart(x, y, z, ix + 1, iy + 1, iz, seed); + } + else + { + sample += _Value3DPart(x, y, z, ix + 1, iy, iz + 1, seed); + } + } + else + { + sample += _Value3DPart(x, y, z, ix, iy, iz + 1, seed); + sample += _Value3DPart(x, y, z, ix + 1, iy, iz + 1, seed); + } + } + else + { + if (tetY >= tetZ) + { + sample += _Value3DPart(x, y, z, ix, iy + 1, iz, seed); + if (tetX >= tetZ) + { + sample += _Value3DPart(x, y, z, ix + 1, iy + 1, iz, seed); + } + else + { + sample += _Value3DPart(x, y, z, ix, iy + 1, iz + 1, seed); + } + } + else + { + sample += _Value3DPart(x, y, z, ix, iy, iz + 1, seed); + sample += _Value3DPart(x, y, z, ix, iy + 1, iz + 1, seed); + } + } + + sample.derivative *= frequency; + + return sample * 8f; + } + + private static NoiseSample _Gradient3DPart(float x, float y, float z, int ix, int iy, int iz, uint seed) + { + var unskew = (ix + iy + iz) * (1f / 6f); + var x2 = x - ix + unskew; + var y2 = y - iy + unskew; + var z2 = z - iz + unskew; + var f = 0.5f - x2 * x2 - y2 * y2 - z2 * z2; + var sample = new NoiseSample(); + + if (f > 0f) + { + var h = Hash3D(ix, iy, iz, seed); + var f2 = f * f; + var f3 = f * f2; + sample.value = f3 * h; + + var h6f2 = -6f * h * f2; + sample.derivative = new Vector3 + { + x = x * h6f2, + y = y * h6f2, + z = z * h6f2, + }; + } + + return sample; + } + + public static NoiseSample SampleGradient3D(float x, float y, float z, uint seed, float frequency) + { + x *= frequency; + y *= frequency; + z *= frequency; + + var skew = (x + y + z) * (1f / 3f); + var sx = x + skew; + var sy = y + skew; + var sz = z + skew; + + var ix = Mathf.FloorToInt(sx); + var iy = Mathf.FloorToInt(sy); + var iz = Mathf.FloorToInt(sz); + + var sample = _Gradient3DPart(x, y, z, ix, iy, iz, seed); + + sample += _Gradient3DPart(x, y, z, ix + 1, iy + 1, iz + 1, seed); + + var tetX = sx - ix; + var tetY = sy - iy; + var tetZ = sz - iz; + + if (tetX >= tetY) + { + if (tetX >= tetZ) + { + sample += _Gradient3DPart(x, y, z, ix + 1, iy, iz, seed); + if (tetY >= tetZ) + { + sample += _Gradient3DPart(x, y, z, ix + 1, iy + 1, iz, seed); + } + else + { + sample += _Gradient3DPart(x, y, z, ix + 1, iy, iz + 1, seed); + } + } + else + { + sample += _Gradient3DPart(x, y, z, ix, iy, iz + 1, seed); + sample += _Gradient3DPart(x, y, z, ix + 1, iy, iz + 1, seed); + } + } + else + { + if (tetY >= tetZ) + { + sample += _Gradient3DPart(x, y, z, ix, iy + 1, iz, seed); + if (tetX >= tetZ) + { + sample += _Gradient3DPart(x, y, z, ix + 1, iy + 1, iz, seed); + } + else + { + sample += _Gradient3DPart(x, y, z, ix, iy + 1, iz + 1, seed); + } + } + else + { + sample += _Gradient3DPart(x, y, z, ix, iy, iz + 1, seed); + sample += _Gradient3DPart(x, y, z, ix, iy + 1, iz + 1, seed); + } + } + + sample.derivative *= frequency; + + return sample * 8f; + } + + private static float Hash3D(int x, int y, int z, uint seed) + { + return SquirrelEiserloh.Get3dNoiseZeroToOne(x, y, z, seed); + } + + #endregion } } diff --git a/Runtime/Visualizers/NoiseVisualizer2D.cs b/Runtime/Visualizers/NoiseVisualizer2D.cs index 7237a7e..8daf9bf 100644 --- a/Runtime/Visualizers/NoiseVisualizer2D.cs +++ b/Runtime/Visualizers/NoiseVisualizer2D.cs @@ -43,6 +43,10 @@ public enum Dimension SamplePerlin3D, SimplexValue1D, SimplexValue2D, + SimplexValue3D, + SimplexGradient1D, + SimplexGradient2D, + SimplexGradient3D } [SerializeField] private Dimension dimension = Dimension.Value2D; @@ -140,10 +144,22 @@ private void Generate() lacunarity, persistence).value; break; case Dimension.SimplexValue1D: - v = SimplexGradientNoise.SimplexValue1D(point.x, seed, frequency).value; + v = SimplexGradientNoise.SampleValue1D(point.x, seed, frequency).value; break; case Dimension.SimplexValue2D: - v = SimplexGradientNoise.SimplexValue2D(point.x, point.y, seed, frequency).value; + v = SimplexGradientNoise.SampleValue2D(point.x, point.y, seed, frequency).value; + break; + case Dimension.SimplexValue3D: + v = SimplexGradientNoise.SampleValue3D(point.x, point.y, point.z, seed, frequency).value; + break; + case Dimension.SimplexGradient1D: + v = SimplexGradientNoise.SampleGradient1D(point.x, seed, frequency).value; + break; + case Dimension.SimplexGradient2D: + v = SimplexGradientNoise.SampleGradient2D(point.x, point.y, seed, frequency).value; + break; + case Dimension.SimplexGradient3D: + v = SimplexGradientNoise.SampleGradient3D(point.x, point.y, point.z, seed, frequency).value; break; default: throw new ArgumentOutOfRangeException(); diff --git a/Runtime/Visualizers/SurfaceMeshVisualizer.cs b/Runtime/Visualizers/SurfaceMeshVisualizer.cs index 2f0cece..f03a927 100644 --- a/Runtime/Visualizers/SurfaceMeshVisualizer.cs +++ b/Runtime/Visualizers/SurfaceMeshVisualizer.cs @@ -57,7 +57,12 @@ public enum Dimension Perlin1D, Perlin2D, Perlin3D, - Simplex1D, + SimplexValue1D, + SimplexValue2D, + SimplexValue3D, + SimplexGradient1D, + SimplexGradient2D, + SimplexGradient3D } [SerializeField] private Dimension dimension = Dimension.Value2D; @@ -178,8 +183,23 @@ private NoiseSample Noise(Vector3 point) case Dimension.Perlin3D: sample = PerlinGradientNoise.FractalSample3D(point.x, point.y, point.z, seed, frequency, octaves, lacunarity, persistence); break; - case Dimension.Simplex1D: - //sample = SimplexGradientNoise.Noise1D(point.x, seed); + case Dimension.SimplexValue1D: + sample = SimplexGradientNoise.SampleValue1D(point.x, seed, frequency); + break; + case Dimension.SimplexValue2D: + sample = SimplexGradientNoise.SampleValue2D(point.x, point.y, seed, frequency); + break; + case Dimension.SimplexValue3D: + sample = SimplexGradientNoise.SampleValue3D(point.x, point.y, point.z, seed, frequency); + break; + case Dimension.SimplexGradient1D: + sample = SimplexGradientNoise.SampleGradient1D(point.x, seed, frequency); + break; + case Dimension.SimplexGradient2D: + sample = SimplexGradientNoise.SampleGradient2D(point.x, point.y, seed, frequency); + break; + case Dimension.SimplexGradient3D: + sample = SimplexGradientNoise.SampleGradient3D(point.x, point.y, point.z, seed, frequency); break; } return sample; From a7a5529168b9e4d84f80e494e20fd2d9af7de53f Mon Sep 17 00:00:00 2001 From: Cory Leach Date: Sat, 25 Feb 2023 11:29:20 -0600 Subject: [PATCH 15/21] Fixed Simplex 2D. Added Simplex 3D gradient arrays and methods --- Runtime/Utility/SimplexGradientNoise.cs | 86 +++++++++++++++++++------ 1 file changed, 66 insertions(+), 20 deletions(-) diff --git a/Runtime/Utility/SimplexGradientNoise.cs b/Runtime/Utility/SimplexGradientNoise.cs index eea96ee..0e648ff 100644 --- a/Runtime/Utility/SimplexGradientNoise.cs +++ b/Runtime/Utility/SimplexGradientNoise.cs @@ -4,12 +4,12 @@ namespace Gameframe.Procgen { public static class NoiseGradients { - public const int GradientsMask1D = 1; - public static readonly float[] Gradients1D = new[] {1f, -1f}; + private const int GradientsMask1D = 1; + private static readonly float[] Gradients1D = new[] {1f, -1f}; - public const int GradientsMask2D = 7; + private const int GradientsMask2D = 7; - public static readonly Vector2[] Gradients2D = + private static readonly Vector2[] Gradients2D = { new Vector2(1f, 0f), new Vector2(-1f, 0f), @@ -21,9 +21,10 @@ public static class NoiseGradients new Vector2(-1f, -1f).normalized }; - public const int GradientsMask3D = 15; + private const int GradientsMask3D = 15; + private const int SimplexGradientsMask3D = 31; - public static readonly Vector3[] Gradients3D = + private static readonly Vector3[] Gradients3D = { new Vector3( 1f, 1f, 0f), new Vector3(-1f, 1f, 0f), @@ -44,6 +45,43 @@ public static class NoiseGradients new Vector3( 0f,-1f,-1f) }; + private static readonly Vector3[] SimplexGradients3D = { + new Vector3( 1f, 1f, 0f).normalized, + new Vector3(-1f, 1f, 0f).normalized, + new Vector3( 1f,-1f, 0f).normalized, + new Vector3(-1f,-1f, 0f).normalized, + new Vector3( 1f, 0f, 1f).normalized, + new Vector3(-1f, 0f, 1f).normalized, + new Vector3( 1f, 0f,-1f).normalized, + new Vector3(-1f, 0f,-1f).normalized, + new Vector3( 0f, 1f, 1f).normalized, + new Vector3( 0f,-1f, 1f).normalized, + new Vector3( 0f, 1f,-1f).normalized, + new Vector3( 0f,-1f,-1f).normalized, + + new Vector3( 1f, 1f, 0f).normalized, + new Vector3(-1f, 1f, 0f).normalized, + new Vector3( 1f,-1f, 0f).normalized, + new Vector3(-1f,-1f, 0f).normalized, + new Vector3( 1f, 0f, 1f).normalized, + new Vector3(-1f, 0f, 1f).normalized, + new Vector3( 1f, 0f,-1f).normalized, + new Vector3(-1f, 0f,-1f).normalized, + new Vector3( 0f, 1f, 1f).normalized, + new Vector3( 0f,-1f, 1f).normalized, + new Vector3( 0f, 1f,-1f).normalized, + new Vector3( 0f,-1f,-1f).normalized, + + new Vector3( 1f, 1f, 1f).normalized, + new Vector3(-1f, 1f, 1f).normalized, + new Vector3( 1f,-1f, 1f).normalized, + new Vector3(-1f,-1f, 1f).normalized, + new Vector3( 1f, 1f,-1f).normalized, + new Vector3(-1f, 1f,-1f).normalized, + new Vector3( 1f,-1f,-1f).normalized, + new Vector3(-1f,-1f,-1f).normalized + }; + private static float HashToGradient1D(uint value) { return Gradients1D[value & GradientsMask1D]; @@ -54,7 +92,7 @@ public static float HashToGradient1D(int x, uint seed) return HashToGradient1D(Hash1D(x, seed)); } - public static Vector2 HashToGradient2D(uint value) + private static Vector2 HashToGradient2D(uint value) { return Gradients2D[value & GradientsMask2D]; } @@ -69,11 +107,21 @@ private static Vector3 HashToGradient3D(uint value) return Gradients3D[value & GradientsMask3D]; } + private static Vector3 HashToSimplexGradient3D(uint value) + { + return SimplexGradients3D[value & SimplexGradientsMask3D]; + } + public static Vector3 HashToGradient3D(int x, int y, int z, uint seed) { return HashToGradient3D(Hash3D(x, y, z, seed)); } + public static Vector3 HashToSimplexGradient3D(int x, int y, int z, uint seed) + { + return HashToSimplexGradient3D(Hash3D(x, y, z, seed)); + } + public static uint Hash1D(int value, uint seed) { return SquirrelEiserloh.Get1dNoiseUint(value, seed); @@ -276,30 +324,28 @@ public static NoiseSample SampleGradient2D(float x, float y, uint seed, float fr } sample.derivative *= frequency; - //sample.value *= (SimplexScale2D / 43.71107f); - //sample.value = (sample.value + 1) * 0.5f; - //sample.value *= SimplexScale2D; //32.99077 - //Debug.Log($"Scale2D : {SimplexScale2D}"); + sample.value *= SimplexScale2D; + sample.value += 1; + sample.value *= 0.5f; return sample; } - private static NoiseSample _Gradient2DPart(float x, float y, int ix, int iy, uint seed) + private static NoiseSample _Gradient2DPart(float pointX, float pointY, int ix, int iy, uint seed) { var unskew = (ix + iy) * SquaresToTriangles; - var x2 = x - ix + unskew; - var y2 = y - iy + unskew; + var x2 = pointX - ix + unskew; + var y2 = pointY - iy + unskew; var f = 0.5f - x2 * x2 - y2 * y2; - var f2 = f * f; - var f3 = f * f2; - if (f > 0) { + var f2 = f * f; + var f3 = f * f2; var g = NoiseGradients.HashToGradient2D(ix, iy, seed); - var v = NoiseGradients.Dot2D(g, x, y); + var v = NoiseGradients.Dot2D(g, x2, y2); var v6f2 = -6f * v * f2; return new NoiseSample @@ -307,8 +353,8 @@ private static NoiseSample _Gradient2DPart(float x, float y, int ix, int iy, uin value = f3 * v, derivative = new Vector3 { - x = g.x * f3 + v6f2 * x, - y = g.y * f3 + v6f2 * y, + x = g.x * f3 + v6f2 * pointX, + y = g.y * f3 + v6f2 * pointY, } }; } From dd7c6ea54f15f915a31bff42b764b3314b63f553 Mon Sep 17 00:00:00 2001 From: Cory Leach Date: Sat, 25 Feb 2023 12:04:29 -0600 Subject: [PATCH 16/21] Simplex 3D implemented. Cleanup perlin and Noise gradients utility methods. --- Runtime/Utility/NoiseGradients.cs | 147 ++++++++++ Runtime/Utility/NoiseGradients.cs.meta | 3 + Runtime/Utility/PerlinGradientNoise.cs | 206 ++++---------- Runtime/Utility/SimplexGradientNoise.cs | 342 +++++++----------------- 4 files changed, 296 insertions(+), 402 deletions(-) create mode 100644 Runtime/Utility/NoiseGradients.cs create mode 100644 Runtime/Utility/NoiseGradients.cs.meta diff --git a/Runtime/Utility/NoiseGradients.cs b/Runtime/Utility/NoiseGradients.cs new file mode 100644 index 0000000..f4b2162 --- /dev/null +++ b/Runtime/Utility/NoiseGradients.cs @@ -0,0 +1,147 @@ +using UnityEngine; + +namespace Gameframe.Procgen +{ + /// + /// Noise gradients used in perlin and simplex noise + /// Based on the tutorial by Cat-like Coding + /// Using Random Access Noise methods by Squirrel Eiserloh + /// + public static class NoiseGradients + { + private const int GradientsMask1D = 1; + private const int GradientsMask2D = 7; + private const int GradientsMask3D = 15; + private const int SimplexGradientsMask3D = 31; + + private static readonly float[] Gradients1D = new[] {1f, -1f}; + + private static readonly Vector2[] Gradients2D = + { + new Vector2(1f, 0f), + new Vector2(-1f, 0f), + new Vector2(0f, 1f), + new Vector2(0f, -1f), + new Vector2(1f, 1f).normalized, + new Vector2(-1f, 1f).normalized, + new Vector2(1f, -1f).normalized, + new Vector2(-1f, -1f).normalized + }; + + private static readonly Vector3[] Gradients3D = + { + new Vector3(1f, 1f, 0f), + new Vector3(-1f, 1f, 0f), + new Vector3(1f, -1f, 0f), + new Vector3(-1f, -1f, 0f), + new Vector3(1f, 0f, 1f), + new Vector3(-1f, 0f, 1f), + new Vector3(1f, 0f, -1f), + new Vector3(-1f, 0f, -1f), + new Vector3(0f, 1f, 1f), + new Vector3(0f, -1f, 1f), + new Vector3(0f, 1f, -1f), + new Vector3(0f, -1f, -1f), + + new Vector3(1f, 1f, 0f), + new Vector3(-1f, 1f, 0f), + new Vector3(0f, -1f, 1f), + new Vector3(0f, -1f, -1f) + }; + + private static readonly Vector3[] SimplexGradients3D = + { + new Vector3(1f, 1f, 0f).normalized, + new Vector3(-1f, 1f, 0f).normalized, + new Vector3(1f, -1f, 0f).normalized, + new Vector3(-1f, -1f, 0f).normalized, + new Vector3(1f, 0f, 1f).normalized, + new Vector3(-1f, 0f, 1f).normalized, + new Vector3(1f, 0f, -1f).normalized, + new Vector3(-1f, 0f, -1f).normalized, + new Vector3(0f, 1f, 1f).normalized, + new Vector3(0f, -1f, 1f).normalized, + new Vector3(0f, 1f, -1f).normalized, + new Vector3(0f, -1f, -1f).normalized, + + new Vector3(1f, 1f, 0f).normalized, + new Vector3(-1f, 1f, 0f).normalized, + new Vector3(1f, -1f, 0f).normalized, + new Vector3(-1f, -1f, 0f).normalized, + new Vector3(1f, 0f, 1f).normalized, + new Vector3(-1f, 0f, 1f).normalized, + new Vector3(1f, 0f, -1f).normalized, + new Vector3(-1f, 0f, -1f).normalized, + new Vector3(0f, 1f, 1f).normalized, + new Vector3(0f, -1f, 1f).normalized, + new Vector3(0f, 1f, -1f).normalized, + new Vector3(0f, -1f, -1f).normalized, + + new Vector3(1f, 1f, 1f).normalized, + new Vector3(-1f, 1f, 1f).normalized, + new Vector3(1f, -1f, 1f).normalized, + new Vector3(-1f, -1f, 1f).normalized, + new Vector3(1f, 1f, -1f).normalized, + new Vector3(-1f, 1f, -1f).normalized, + new Vector3(1f, -1f, -1f).normalized, + new Vector3(-1f, -1f, -1f).normalized + }; + + #region Public Methods + public static float Gradient1D(int x, uint seed) + { + return HashToGradient1D(Hash1D(x, seed)); + } + public static Vector2 Gradient2D(int x, int y, uint seed) + { + return HashToGradient2D(Hash2D(x, y, seed)); + } + public static Vector3 Gradient3D(int x, int y, int z, uint seed) + { + return HashToGradient3D(Hash3D(x, y, z, seed)); + } + public static Vector3 SimplexGradient3D(int x, int y, int z, uint seed) + { + return HashToSimplexGradient3D(Hash3D(x, y, z, seed)); + } + public static float Dot2D(Vector2 g, float x, float y) + { + return g.x * x + g.y * y; + } + + public static float Dot3D(Vector3 g, float x, float y, float z) + { + return g.x * x + g.y * y + g.z * z; + } + #endregion + + private static float HashToGradient1D(uint value) + { + return Gradients1D[value & GradientsMask1D]; + } + private static Vector2 HashToGradient2D(uint value) + { + return Gradients2D[value & GradientsMask2D]; + } + private static Vector3 HashToGradient3D(uint value) + { + return Gradients3D[value & GradientsMask3D]; + } + private static Vector3 HashToSimplexGradient3D(uint value) + { + return SimplexGradients3D[value & SimplexGradientsMask3D]; + } + private static uint Hash1D(int value, uint seed) + { + return SquirrelEiserloh.Get1dNoiseUint(value, seed); + } + private static uint Hash2D(int x, int y, uint seed) + { + return SquirrelEiserloh.Get2dNoiseUint(x, y, seed); + } + private static uint Hash3D(int x, int y, int z, uint seed) + { + return SquirrelEiserloh.Get3dNoiseUint(x, y, z, seed); + } + } +} diff --git a/Runtime/Utility/NoiseGradients.cs.meta b/Runtime/Utility/NoiseGradients.cs.meta new file mode 100644 index 0000000..b3638e0 --- /dev/null +++ b/Runtime/Utility/NoiseGradients.cs.meta @@ -0,0 +1,3 @@ +fileFormatVersion: 2 +guid: 0cf111b66e874968a13a5c776270a719 +timeCreated: 1677347134 \ No newline at end of file diff --git a/Runtime/Utility/PerlinGradientNoise.cs b/Runtime/Utility/PerlinGradientNoise.cs index d3fd2f5..87c2ad7 100644 --- a/Runtime/Utility/PerlinGradientNoise.cs +++ b/Runtime/Utility/PerlinGradientNoise.cs @@ -11,46 +11,6 @@ public static class PerlinGradientNoise { private static readonly float Sqr2 = Mathf.Sqrt(2f); - private const int GradientsMask1D = 1; - private static readonly float[] Gradients1D = new[] {1f, -1f}; - - private const int GradientsMask2D = 7; - - private static readonly Vector2[] Gradients2D = - { - new Vector2(1f, 0f), - new Vector2(-1f, 0f), - new Vector2(0f, 1f), - new Vector2(0f, -1f), - new Vector2(1f, 1f).normalized, - new Vector2(-1f, 1f).normalized, - new Vector2(1f, -1f).normalized, - new Vector2(-1f, -1f).normalized - }; - - private const int GradientsMask3D = 15; - - private static readonly Vector3[] Gradients3D = - { - new Vector3( 1f, 1f, 0f), - new Vector3(-1f, 1f, 0f), - new Vector3( 1f,-1f, 0f), - new Vector3(-1f,-1f, 0f), - new Vector3( 1f, 0f, 1f), - new Vector3(-1f, 0f, 1f), - new Vector3( 1f, 0f,-1f), - new Vector3(-1f, 0f,-1f), - new Vector3( 0f, 1f, 1f), - new Vector3( 0f,-1f, 1f), - new Vector3( 0f, 1f,-1f), - new Vector3( 0f,-1f,-1f), - - new Vector3( 1f, 1f, 0f), - new Vector3(-1f, 1f, 0f), - new Vector3( 0f,-1f, 1f), - new Vector3( 0f,-1f,-1f) - }; - #region Fractal Noise /// @@ -304,8 +264,8 @@ public static float Noise1D(float x, uint seed) var t0 = x - x0; var t1 = t0 - 1f; - var g0 = HashToGradient1D(Hash1D(x0, seed)); - var g1 = HashToGradient1D(Hash1D(x1, seed)); + var g0 = NoiseGradients.Gradient1D(x0, seed); + var g1 = NoiseGradients.Gradient1D(x1, seed); var v0 = g0 * t0; var v1 = g1 * t1; @@ -332,8 +292,8 @@ public static NoiseSample Sample1D(float x, uint seed, float frequency = 1) var t0 = x - x0; var t1 = t0 - 1f; - var g0 = HashToGradient1D(Hash1D(x0, seed)); - var g1 = HashToGradient1D(Hash1D(x1, seed)); + var g0 = NoiseGradients.Gradient1D(x0, seed); + var g1 = NoiseGradients.Gradient1D(x1, seed); var v0 = g0 * t0; var v1 = g1 * t1; @@ -384,15 +344,15 @@ public static float Noise2D(float x, float y, uint seed) var ty0 = y - y0; var ty1 = ty0 - 1f; - var g00 = HashToGradient2D(Hash2D(x0, y0, seed)); - var g10 = HashToGradient2D(Hash2D(x1, y0, seed)); - var g01 = HashToGradient2D(Hash2D(x0, y1, seed)); - var g11 = HashToGradient2D(Hash2D(x1, y1, seed)); + var g00 = NoiseGradients.Gradient2D(x0, y0, seed); + var g10 = NoiseGradients.Gradient2D(x1, y0, seed); + var g01 = NoiseGradients.Gradient2D(x0, y1, seed); + var g11 = NoiseGradients.Gradient2D(x1, y1, seed); - var v00 = Dot2D(g00, tx0, ty0); - var v10 = Dot2D(g10, tx1, ty0); - var v01 = Dot2D(g01, tx0, ty1); - var v11 = Dot2D(g11, tx1, ty1); + var v00 = NoiseGradients.Dot2D(g00, tx0, ty0); + var v10 = NoiseGradients.Dot2D(g10, tx1, ty0); + var v01 = NoiseGradients.Dot2D(g01, tx0, ty1); + var v11 = NoiseGradients.Dot2D(g11, tx1, ty1); var tx = Smooth(tx0); var ty = Smooth(ty0); @@ -440,15 +400,15 @@ public static NoiseSample Sample2D(float x, float y, uint seed, float frequency var ty0 = y - y0; var ty1 = ty0 - 1f; - var g00 = HashToGradient2D(Hash2D(x0, y0, seed)); - var g10 = HashToGradient2D(Hash2D(x1, y0, seed)); - var g01 = HashToGradient2D(Hash2D(x0, y1, seed)); - var g11 = HashToGradient2D(Hash2D(x1, y1, seed)); + var g00 = NoiseGradients.Gradient2D(x0, y0, seed); + var g10 = NoiseGradients.Gradient2D(x1, y0, seed); + var g01 = NoiseGradients.Gradient2D(x0, y1, seed); + var g11 = NoiseGradients.Gradient2D(x1, y1, seed); - var v00 = Dot2D(g00, tx0, ty0); - var v10 = Dot2D(g10, tx1, ty0); - var v01 = Dot2D(g01, tx0, ty1); - var v11 = Dot2D(g11, tx1, ty1); + var v00 = NoiseGradients.Dot2D(g00, tx0, ty0); + var v10 = NoiseGradients.Dot2D(g10, tx1, ty0); + var v01 = NoiseGradients.Dot2D(g01, tx0, ty1); + var v11 = NoiseGradients.Dot2D(g11, tx1, ty1); var tx = Smooth(tx0); var ty = Smooth(ty0); @@ -522,32 +482,23 @@ public static float Noise3D(float x, float y, float z, uint seed) var tz0 = z - z0; var tz1 = tz0 - 1f; - var h000 = Hash3D(x0, y0, z0, seed); - var h010 = Hash3D(x0, y1, z0, seed); - var h001 = Hash3D(x0, y0, z1, seed); - var h011 = Hash3D(x0, y1, z1, seed); - var h100 = Hash3D(x1, y0, z0, seed); - var h110 = Hash3D(x1, y1, z0, seed); - var h101 = Hash3D(x1, y0, z1, seed); - var h111 = Hash3D(x1, y1, z1, seed); - - var g000 = HashToGradient3D(h000); - var g100 = HashToGradient3D(h100); - var g010 = HashToGradient3D(h010); - var g110 = HashToGradient3D(h110); - var g001 = HashToGradient3D(h001); - var g101 = HashToGradient3D(h101); - var g011 = HashToGradient3D(h011); - var g111 = HashToGradient3D(h111); - - var v000 = Dot3D(g000, tx0, ty0, tz0); - var v100 = Dot3D(g100, tx1, ty0, tz0); - var v010 = Dot3D(g010, tx0, ty1, tz0); - var v110 = Dot3D(g110, tx1, ty1, tz0); - var v001 = Dot3D(g001, tx0, ty0, tz1); - var v101 = Dot3D(g101, tx1, ty0, tz1); - var v011 = Dot3D(g011, tx0, ty1, tz1); - var v111 = Dot3D(g111, tx1, ty1, tz1); + var g000 = NoiseGradients.Gradient3D(x0, y0, z0, seed); + var g100 = NoiseGradients.Gradient3D(x1, y0, z0, seed); + var g010 = NoiseGradients.Gradient3D(x0, y1, z0, seed); + var g110 = NoiseGradients.Gradient3D(x1, y1, z0, seed); + var g001 = NoiseGradients.Gradient3D(x0, y0, z1, seed); + var g101 = NoiseGradients.Gradient3D(x1, y0, z1, seed); + var g011 = NoiseGradients.Gradient3D(x0, y1, z1, seed); + var g111 = NoiseGradients.Gradient3D(x1, y1, z1, seed); + + var v000 = NoiseGradients.Dot3D(g000, tx0, ty0, tz0); + var v100 = NoiseGradients.Dot3D(g100, tx1, ty0, tz0); + var v010 = NoiseGradients.Dot3D(g010, tx0, ty1, tz0); + var v110 = NoiseGradients.Dot3D(g110, tx1, ty1, tz0); + var v001 = NoiseGradients.Dot3D(g001, tx0, ty0, tz1); + var v101 = NoiseGradients.Dot3D(g101, tx1, ty0, tz1); + var v011 = NoiseGradients.Dot3D(g011, tx0, ty1, tz1); + var v111 = NoiseGradients.Dot3D(g111, tx1, ty1, tz1); var tx = Smooth(tx0); var ty = Smooth(ty0); @@ -609,32 +560,23 @@ public static NoiseSample Sample3D(float x, float y, float z, uint seed, float f var y1 = y0 + 1; var z1 = z0 + 1; - var h000 = Hash3D(x0, y0, z0, seed); - var h010 = Hash3D(x0, y1, z0, seed); - var h001 = Hash3D(x0, y0, z1, seed); - var h011 = Hash3D(x0, y1, z1, seed); - var h100 = Hash3D(x1, y0, z0, seed); - var h110 = Hash3D(x1, y1, z0, seed); - var h101 = Hash3D(x1, y0, z1, seed); - var h111 = Hash3D(x1, y1, z1, seed); - - var g000 = HashToGradient3D(h000); - var g100 = HashToGradient3D(h100); - var g010 = HashToGradient3D(h010); - var g110 = HashToGradient3D(h110); - var g001 = HashToGradient3D(h001); - var g101 = HashToGradient3D(h101); - var g011 = HashToGradient3D(h011); - var g111 = HashToGradient3D(h111); - - var v000 = Dot3D(g000, tx0, ty0, tz0); - var v100 = Dot3D(g100, tx1, ty0, tz0); - var v010 = Dot3D(g010, tx0, ty1, tz0); - var v110 = Dot3D(g110, tx1, ty1, tz0); - var v001 = Dot3D(g001, tx0, ty0, tz1); - var v101 = Dot3D(g101, tx1, ty0, tz1); - var v011 = Dot3D(g011, tx0, ty1, tz1); - var v111 = Dot3D(g111, tx1, ty1, tz1); + var g000 = NoiseGradients.Gradient3D(x0, y0, z0, seed); + var g100 = NoiseGradients.Gradient3D(x1, y0, z0, seed); + var g010 = NoiseGradients.Gradient3D(x0, y1, z0, seed); + var g110 = NoiseGradients.Gradient3D(x1, y1, z0, seed); + var g001 = NoiseGradients.Gradient3D(x0, y0, z1, seed); + var g101 = NoiseGradients.Gradient3D(x1, y0, z1, seed); + var g011 = NoiseGradients.Gradient3D(x0, y1, z1, seed); + var g111 = NoiseGradients.Gradient3D(x1, y1, z1, seed); + + var v000 = NoiseGradients.Dot3D(g000, tx0, ty0, tz0); + var v100 = NoiseGradients.Dot3D(g100, tx1, ty0, tz0); + var v010 = NoiseGradients.Dot3D(g010, tx0, ty1, tz0); + var v110 = NoiseGradients.Dot3D(g110, tx1, ty1, tz0); + var v001 = NoiseGradients.Dot3D(g001, tx0, ty0, tz1); + var v101 = NoiseGradients.Dot3D(g101, tx1, ty0, tz1); + var v011 = NoiseGradients.Dot3D(g011, tx0, ty1, tz1); + var v111 = NoiseGradients.Dot3D(g111, tx1, ty1, tz1); var dtx = SmoothDerivative(tx0); var dty = SmoothDerivative(ty0); @@ -690,46 +632,6 @@ public static float Noise3D(Vector3 position, uint seed) #endregion - private static float HashToGradient1D(uint value) - { - return Gradients1D[value & GradientsMask1D]; - } - - private static Vector2 HashToGradient2D(uint value) - { - return Gradients2D[value & GradientsMask2D]; - } - - private static Vector3 HashToGradient3D(uint value) - { - return Gradients3D[value & GradientsMask3D]; - } - - private static uint Hash1D(int value, uint seed) - { - return SquirrelEiserloh.Get1dNoiseUint(value, seed); - } - - private static uint Hash2D(int x, int y, uint seed) - { - return SquirrelEiserloh.Get2dNoiseUint(x, y, seed); - } - - private static uint Hash3D(int x, int y, int z, uint seed) - { - return SquirrelEiserloh.Get3dNoiseUint(x, y, z, seed); - } - - private static float Dot2D(Vector2 g, float x, float y) - { - return g.x * x + g.y * y; - } - - private static float Dot3D(Vector3 g, float x, float y, float z) - { - return g.x * x + g.y * y + g.z * z; - } - private static float Smooth(float t) { return SmoothStep.Degree5(t); diff --git a/Runtime/Utility/SimplexGradientNoise.cs b/Runtime/Utility/SimplexGradientNoise.cs index 0e648ff..88de289 100644 --- a/Runtime/Utility/SimplexGradientNoise.cs +++ b/Runtime/Utility/SimplexGradientNoise.cs @@ -2,162 +2,15 @@ namespace Gameframe.Procgen { - public static class NoiseGradients - { - private const int GradientsMask1D = 1; - private static readonly float[] Gradients1D = new[] {1f, -1f}; - - private const int GradientsMask2D = 7; - - private static readonly Vector2[] Gradients2D = - { - new Vector2(1f, 0f), - new Vector2(-1f, 0f), - new Vector2(0f, 1f), - new Vector2(0f, -1f), - new Vector2(1f, 1f).normalized, - new Vector2(-1f, 1f).normalized, - new Vector2(1f, -1f).normalized, - new Vector2(-1f, -1f).normalized - }; - - private const int GradientsMask3D = 15; - private const int SimplexGradientsMask3D = 31; - - private static readonly Vector3[] Gradients3D = - { - new Vector3( 1f, 1f, 0f), - new Vector3(-1f, 1f, 0f), - new Vector3( 1f,-1f, 0f), - new Vector3(-1f,-1f, 0f), - new Vector3( 1f, 0f, 1f), - new Vector3(-1f, 0f, 1f), - new Vector3( 1f, 0f,-1f), - new Vector3(-1f, 0f,-1f), - new Vector3( 0f, 1f, 1f), - new Vector3( 0f,-1f, 1f), - new Vector3( 0f, 1f,-1f), - new Vector3( 0f,-1f,-1f), - - new Vector3( 1f, 1f, 0f), - new Vector3(-1f, 1f, 0f), - new Vector3( 0f,-1f, 1f), - new Vector3( 0f,-1f,-1f) - }; - - private static readonly Vector3[] SimplexGradients3D = { - new Vector3( 1f, 1f, 0f).normalized, - new Vector3(-1f, 1f, 0f).normalized, - new Vector3( 1f,-1f, 0f).normalized, - new Vector3(-1f,-1f, 0f).normalized, - new Vector3( 1f, 0f, 1f).normalized, - new Vector3(-1f, 0f, 1f).normalized, - new Vector3( 1f, 0f,-1f).normalized, - new Vector3(-1f, 0f,-1f).normalized, - new Vector3( 0f, 1f, 1f).normalized, - new Vector3( 0f,-1f, 1f).normalized, - new Vector3( 0f, 1f,-1f).normalized, - new Vector3( 0f,-1f,-1f).normalized, - - new Vector3( 1f, 1f, 0f).normalized, - new Vector3(-1f, 1f, 0f).normalized, - new Vector3( 1f,-1f, 0f).normalized, - new Vector3(-1f,-1f, 0f).normalized, - new Vector3( 1f, 0f, 1f).normalized, - new Vector3(-1f, 0f, 1f).normalized, - new Vector3( 1f, 0f,-1f).normalized, - new Vector3(-1f, 0f,-1f).normalized, - new Vector3( 0f, 1f, 1f).normalized, - new Vector3( 0f,-1f, 1f).normalized, - new Vector3( 0f, 1f,-1f).normalized, - new Vector3( 0f,-1f,-1f).normalized, - - new Vector3( 1f, 1f, 1f).normalized, - new Vector3(-1f, 1f, 1f).normalized, - new Vector3( 1f,-1f, 1f).normalized, - new Vector3(-1f,-1f, 1f).normalized, - new Vector3( 1f, 1f,-1f).normalized, - new Vector3(-1f, 1f,-1f).normalized, - new Vector3( 1f,-1f,-1f).normalized, - new Vector3(-1f,-1f,-1f).normalized - }; - - private static float HashToGradient1D(uint value) - { - return Gradients1D[value & GradientsMask1D]; - } - - public static float HashToGradient1D(int x, uint seed) - { - return HashToGradient1D(Hash1D(x, seed)); - } - - private static Vector2 HashToGradient2D(uint value) - { - return Gradients2D[value & GradientsMask2D]; - } - - public static Vector2 HashToGradient2D(int x, int y, uint seed) - { - return HashToGradient2D(Hash2D(x,y,seed)); - } - - private static Vector3 HashToGradient3D(uint value) - { - return Gradients3D[value & GradientsMask3D]; - } - - private static Vector3 HashToSimplexGradient3D(uint value) - { - return SimplexGradients3D[value & SimplexGradientsMask3D]; - } - - public static Vector3 HashToGradient3D(int x, int y, int z, uint seed) - { - return HashToGradient3D(Hash3D(x, y, z, seed)); - } - - public static Vector3 HashToSimplexGradient3D(int x, int y, int z, uint seed) - { - return HashToSimplexGradient3D(Hash3D(x, y, z, seed)); - } - - public static uint Hash1D(int value, uint seed) - { - return SquirrelEiserloh.Get1dNoiseUint(value, seed); - } - - private static uint Hash2D(int x, int y, uint seed) - { - return SquirrelEiserloh.Get2dNoiseUint(x, y, seed); - } - - private static uint Hash3D(int x, int y, int z, uint seed) - { - return SquirrelEiserloh.Get3dNoiseUint(x, y, z, seed); - } - - public static float Dot2D(Vector2 g, float x, float y) - { - return g.x * x + g.y * y; - } - - public static float Dot3D(Vector3 g, float x, float y, float z) - { - return g.x * x + g.y * y + g.z * z; - } - } - public static class SimplexGradientNoise { private static readonly float SquaresToTriangles = (3f - Mathf.Sqrt(3f)) / 6f; private static readonly float TrianglesToSquares = (Mathf.Sqrt(3f) - 1f) / 2f; - private static readonly float Sqr2 = Mathf.Sqrt(2f); - private static readonly float SimplexScale2D = 2916f * Sqr2 / 125f; + private static readonly float SimplexScale3D = 8192f * Mathf.Sqrt(3f) / 375f; + private static readonly float SimplexScale2D = 2916f * Mathf.Sqrt(2f) / 125f; private static readonly float SimplexScale1D = 64f / 27f; #region 1D - public static NoiseSample SampleValue1D(float pointX, uint seed, float frequency) { pointX *= frequency; @@ -173,7 +26,6 @@ public static NoiseSample SampleValue1D(float pointX, uint seed, float frequency return sample; } - private static NoiseSample _Value1DPart(float pointX, int ix, uint seed) { var x = pointX - ix; @@ -192,7 +44,6 @@ private static NoiseSample _Value1DPart(float pointX, int ix, uint seed) } }; } - public static NoiseSample SampleGradient1D(float pointX, uint seed, float frequency) { pointX *= frequency; @@ -209,7 +60,6 @@ public static NoiseSample SampleGradient1D(float pointX, uint seed, float freque sample.value = (sample.value + 1) * 0.5f; return sample; } - private static NoiseSample _Gradient1DPart(float pointX, int ix, uint seed) { var x = pointX - ix; @@ -217,7 +67,7 @@ private static NoiseSample _Gradient1DPart(float pointX, int ix, uint seed) var f2 = f * f; var f3 = f * f2; - var g = NoiseGradients.HashToGradient1D(ix, seed); + var g = NoiseGradients.Gradient1D(ix, seed); var v = g * x; return new NoiseSample @@ -229,16 +79,13 @@ private static NoiseSample _Gradient1DPart(float pointX, int ix, uint seed) } }; } - private static float Hash1D(int value, uint seed) { return SquirrelEiserloh.Get1dNoiseZeroToOne(value, seed); } - #endregion #region 2D - public static NoiseSample SampleValue2D(float x, float y, uint seed, float frequency) { x *= frequency; @@ -268,36 +115,6 @@ public static NoiseSample SampleValue2D(float x, float y, uint seed, float frequ return sample * 8; } - - private static NoiseSample _Value2DPart(float x, float y, int ix, int iy, uint seed) - { - var unskew = (ix + iy) * SquaresToTriangles; - - var x2 = x - ix + unskew; - var y2 = y - iy + unskew; - var f = 0.5f - x2 * x2 - y2 * y2; - var f2 = f * f; - var f3 = f * f2; - - if (f > 0) - { - var h = Hash2D(ix, iy, seed); - var h6f2 = -6f * h * f2; - - return new NoiseSample - { - value = f3 * h, - derivative = new Vector3 - { - x = h6f2 * x, - y = h6f2 * y, - } - }; - } - - return new NoiseSample(); - } - public static NoiseSample SampleGradient2D(float x, float y, uint seed, float frequency) { x *= frequency; @@ -331,7 +148,34 @@ public static NoiseSample SampleGradient2D(float x, float y, uint seed, float fr return sample; } + private static NoiseSample _Value2DPart(float x, float y, int ix, int iy, uint seed) + { + var unskew = (ix + iy) * SquaresToTriangles; + + var x2 = x - ix + unskew; + var y2 = y - iy + unskew; + var f = 0.5f - x2 * x2 - y2 * y2; + var f2 = f * f; + var f3 = f * f2; + if (f > 0) + { + var h = Hash2D(ix, iy, seed); + var h6f2 = -6f * h * f2; + + return new NoiseSample + { + value = f3 * h, + derivative = new Vector3 + { + x = h6f2 * x, + y = h6f2 * y, + } + }; + } + + return new NoiseSample(); + } private static NoiseSample _Gradient2DPart(float pointX, float pointY, int ix, int iy, uint seed) { var unskew = (ix + iy) * SquaresToTriangles; @@ -344,7 +188,7 @@ private static NoiseSample _Gradient2DPart(float pointX, float pointY, int ix, i { var f2 = f * f; var f3 = f * f2; - var g = NoiseGradients.HashToGradient2D(ix, iy, seed); + var g = NoiseGradients.Gradient2D(ix, iy, seed); var v = NoiseGradients.Dot2D(g, x2, y2); var v6f2 = -6f * v * f2; @@ -361,44 +205,13 @@ private static NoiseSample _Gradient2DPart(float pointX, float pointY, int ix, i return new NoiseSample(); } - private static float Hash2D(int x, int y, uint seed) { return SquirrelEiserloh.Get2dNoiseZeroToOne(x, y, seed); } - #endregion #region 3D - - private static NoiseSample _Value3DPart(float x, float y, float z, int ix, int iy, int iz, uint seed) - { - var unskew = (ix + iy + iz) * (1f / 6f); - var x2 = x - ix + unskew; - var y2 = y - iy + unskew; - var z2 = z - iz + unskew; - var f = 0.5f - x2 * x2 - y2 * y2 - z2 * z2; - var sample = new NoiseSample(); - - if (f > 0f) - { - var h = Hash3D(ix, iy, iz, seed); - var f2 = f * f; - var f3 = f * f2; - sample.value = f3 * h; - - var h6f2 = -6f * h * f2; - sample.derivative = new Vector3 - { - x = x * h6f2, - y = y * h6f2, - z = z * h6f2, - }; - } - - return sample; - } - public static NoiseSample SampleValue3D(float x, float y, float z, uint seed, float frequency) { x *= frequency; @@ -465,37 +278,8 @@ public static NoiseSample SampleValue3D(float x, float y, float z, uint seed, fl sample.derivative *= frequency; - return sample * 8f; - } - - private static NoiseSample _Gradient3DPart(float x, float y, float z, int ix, int iy, int iz, uint seed) - { - var unskew = (ix + iy + iz) * (1f / 6f); - var x2 = x - ix + unskew; - var y2 = y - iy + unskew; - var z2 = z - iz + unskew; - var f = 0.5f - x2 * x2 - y2 * y2 - z2 * z2; - var sample = new NoiseSample(); - - if (f > 0f) - { - var h = Hash3D(ix, iy, iz, seed); - var f2 = f * f; - var f3 = f * f2; - sample.value = f3 * h; - - var h6f2 = -6f * h * f2; - sample.derivative = new Vector3 - { - x = x * h6f2, - y = y * h6f2, - z = z * h6f2, - }; - } - - return sample; + return sample * 8; } - public static NoiseSample SampleGradient3D(float x, float y, float z, uint seed, float frequency) { x *= frequency; @@ -561,15 +345,73 @@ public static NoiseSample SampleGradient3D(float x, float y, float z, uint seed, } sample.derivative *= frequency; + sample *= SimplexScale3D; + sample.value += 1; + sample.value *= 0.5f; - return sample * 8f; + return sample; } + private static NoiseSample _Value3DPart(float x, float y, float z, int ix, int iy, int iz, uint seed) + { + var unskew = (ix + iy + iz) * (1f / 6f); + var x2 = x - ix + unskew; + var y2 = y - iy + unskew; + var z2 = z - iz + unskew; + var f = 0.5f - x2 * x2 - y2 * y2 - z2 * z2; + var sample = new NoiseSample(); + if (f > 0f) + { + var h = Hash3D(ix, iy, iz, seed); + var f2 = f * f; + var f3 = f * f2; + sample.value = f3 * h; + + var h6f2 = -6f * h * f2; + sample.derivative = new Vector3 + { + x = x * h6f2, + y = y * h6f2, + z = z * h6f2, + }; + } + + return sample; + } + private static NoiseSample _Gradient3DPart(float pointX, float pointY, float pointZ, int ix, int iy, int iz, uint seed) + { + var unskew = (ix + iy + iz) * (1f / 6f); + var x2 = pointX - ix + unskew; + var y2 = pointY - iy + unskew; + var z2 = pointZ - iz + unskew; + var f = 0.5f - x2 * x2 - y2 * y2 - z2 * z2; + + var sample = new NoiseSample(); + + if (f > 0f) + { + var g = NoiseGradients.SimplexGradient3D(ix, iy, iz, seed); + var f2 = f * f; + var f3 = f * f2; + var v = NoiseGradients.Dot3D(g, x2, y2, z2); + var v6f2 = -6f * v * f2; + + sample.value = f3 * v; + + sample.derivative = new Vector3 + { + x = g.x * f3 + pointX * v6f2, + y = g.y * f3 + pointY * v6f2, + z = g.z * f3 + pointZ * v6f2, + }; + } + + return sample; + } private static float Hash3D(int x, int y, int z, uint seed) { return SquirrelEiserloh.Get3dNoiseZeroToOne(x, y, z, seed); } - #endregion } } From 68c9f5b1d8e11ddc93691f156c438338de07dfa1 Mon Sep 17 00:00:00 2001 From: Cory Leach Date: Sat, 25 Feb 2023 12:15:57 -0600 Subject: [PATCH 17/21] Fractal 3D simplex. --- Runtime/Utility/SimplexGradientNoise.cs | 35 ++++++++++++++++---- Runtime/Visualizers/NoiseVisualizer2D.cs | 14 ++++---- Runtime/Visualizers/SurfaceMeshVisualizer.cs | 12 +++---- 3 files changed, 42 insertions(+), 19 deletions(-) diff --git a/Runtime/Utility/SimplexGradientNoise.cs b/Runtime/Utility/SimplexGradientNoise.cs index 88de289..647f296 100644 --- a/Runtime/Utility/SimplexGradientNoise.cs +++ b/Runtime/Utility/SimplexGradientNoise.cs @@ -1,3 +1,4 @@ +using System; using UnityEngine; namespace Gameframe.Procgen @@ -11,7 +12,7 @@ public static class SimplexGradientNoise private static readonly float SimplexScale1D = 64f / 27f; #region 1D - public static NoiseSample SampleValue1D(float pointX, uint seed, float frequency) + public static NoiseSample Value1D(float pointX, uint seed, float frequency) { pointX *= frequency; @@ -44,7 +45,7 @@ private static NoiseSample _Value1DPart(float pointX, int ix, uint seed) } }; } - public static NoiseSample SampleGradient1D(float pointX, uint seed, float frequency) + public static NoiseSample Gradient1D(float pointX, uint seed, float frequency) { pointX *= frequency; @@ -86,7 +87,7 @@ private static float Hash1D(int value, uint seed) #endregion #region 2D - public static NoiseSample SampleValue2D(float x, float y, uint seed, float frequency) + public static NoiseSample Value2D(float x, float y, uint seed, float frequency) { x *= frequency; y *= frequency; @@ -115,7 +116,7 @@ public static NoiseSample SampleValue2D(float x, float y, uint seed, float frequ return sample * 8; } - public static NoiseSample SampleGradient2D(float x, float y, uint seed, float frequency) + public static NoiseSample Gradient2D(float x, float y, uint seed, float frequency) { x *= frequency; y *= frequency; @@ -212,7 +213,7 @@ private static float Hash2D(int x, int y, uint seed) #endregion #region 3D - public static NoiseSample SampleValue3D(float x, float y, float z, uint seed, float frequency) + public static NoiseSample Value3D(float x, float y, float z, uint seed, float frequency) { x *= frequency; y *= frequency; @@ -280,7 +281,7 @@ public static NoiseSample SampleValue3D(float x, float y, float z, uint seed, fl return sample * 8; } - public static NoiseSample SampleGradient3D(float x, float y, float z, uint seed, float frequency) + public static NoiseSample Gradient3D(float x, float y, float z, uint seed, float frequency) { x *= frequency; y *= frequency; @@ -351,6 +352,28 @@ public static NoiseSample SampleGradient3D(float x, float y, float z, uint seed, return sample; } + public static NoiseSample FractalGradient3D(float x, float y, float z, uint seed, float frequency, int octaves, float lacunarity = 2f, float persistence = 0.5f) + { + return _SampleFractal3D(Gradient3D, x, y, z, seed, frequency, octaves, lacunarity, persistence); + } + public static NoiseSample FractalValue3D(float x, float y, float z, uint seed, float frequency, int octaves, float lacunarity = 2f, float persistence = 0.5f) + { + return _SampleFractal3D(Value3D, x, y, z, seed, frequency, octaves, lacunarity, persistence); + } + private static NoiseSample _SampleFractal3D(Func action, float x, float y, float z, uint seed, float frequency, int octaves, float lacunarity = 2f, float persistence = 0.5f) + { + var sum = action(x, y, z, seed, frequency); + var amplitude = 1f; + var range = 1f; + for (var i = 1; i < octaves; i++) + { + frequency *= lacunarity; + amplitude *= persistence; + range += amplitude; + sum += action(x, y, z, seed, frequency) * amplitude; + } + return sum * (1 / range); + } private static NoiseSample _Value3DPart(float x, float y, float z, int ix, int iy, int iz, uint seed) { var unskew = (ix + iy + iz) * (1f / 6f); diff --git a/Runtime/Visualizers/NoiseVisualizer2D.cs b/Runtime/Visualizers/NoiseVisualizer2D.cs index 8daf9bf..1225f3e 100644 --- a/Runtime/Visualizers/NoiseVisualizer2D.cs +++ b/Runtime/Visualizers/NoiseVisualizer2D.cs @@ -144,22 +144,22 @@ private void Generate() lacunarity, persistence).value; break; case Dimension.SimplexValue1D: - v = SimplexGradientNoise.SampleValue1D(point.x, seed, frequency).value; + v = SimplexGradientNoise.Value1D(point.x, seed, frequency).value; break; case Dimension.SimplexValue2D: - v = SimplexGradientNoise.SampleValue2D(point.x, point.y, seed, frequency).value; + v = SimplexGradientNoise.Value2D(point.x, point.y, seed, frequency).value; break; case Dimension.SimplexValue3D: - v = SimplexGradientNoise.SampleValue3D(point.x, point.y, point.z, seed, frequency).value; + v = SimplexGradientNoise.Value3D(point.x, point.y, point.z, seed, frequency).value; break; case Dimension.SimplexGradient1D: - v = SimplexGradientNoise.SampleGradient1D(point.x, seed, frequency).value; + v = SimplexGradientNoise.Gradient1D(point.x, seed, frequency).value; break; case Dimension.SimplexGradient2D: - v = SimplexGradientNoise.SampleGradient2D(point.x, point.y, seed, frequency).value; + v = SimplexGradientNoise.Gradient2D(point.x, point.y, seed, frequency).value; break; case Dimension.SimplexGradient3D: - v = SimplexGradientNoise.SampleGradient3D(point.x, point.y, point.z, seed, frequency).value; + v = SimplexGradientNoise.FractalGradient3D(point.x, point.y, point.z, seed, frequency, octaves, lacunarity, persistence).value; break; default: throw new ArgumentOutOfRangeException(); @@ -172,7 +172,7 @@ private void Generate() } } - Debug.Log($"Min: {minValue} Max: {maxValue}"); + //Debug.Log($"Min: {minValue} Max: {maxValue}"); _texture.Apply(); diff --git a/Runtime/Visualizers/SurfaceMeshVisualizer.cs b/Runtime/Visualizers/SurfaceMeshVisualizer.cs index f03a927..52b7c58 100644 --- a/Runtime/Visualizers/SurfaceMeshVisualizer.cs +++ b/Runtime/Visualizers/SurfaceMeshVisualizer.cs @@ -184,22 +184,22 @@ private NoiseSample Noise(Vector3 point) sample = PerlinGradientNoise.FractalSample3D(point.x, point.y, point.z, seed, frequency, octaves, lacunarity, persistence); break; case Dimension.SimplexValue1D: - sample = SimplexGradientNoise.SampleValue1D(point.x, seed, frequency); + sample = SimplexGradientNoise.Value1D(point.x, seed, frequency); break; case Dimension.SimplexValue2D: - sample = SimplexGradientNoise.SampleValue2D(point.x, point.y, seed, frequency); + sample = SimplexGradientNoise.Value2D(point.x, point.y, seed, frequency); break; case Dimension.SimplexValue3D: - sample = SimplexGradientNoise.SampleValue3D(point.x, point.y, point.z, seed, frequency); + sample = SimplexGradientNoise.Value3D(point.x, point.y, point.z, seed, frequency); break; case Dimension.SimplexGradient1D: - sample = SimplexGradientNoise.SampleGradient1D(point.x, seed, frequency); + sample = SimplexGradientNoise.Gradient1D(point.x, seed, frequency); break; case Dimension.SimplexGradient2D: - sample = SimplexGradientNoise.SampleGradient2D(point.x, point.y, seed, frequency); + sample = SimplexGradientNoise.Gradient2D(point.x, point.y, seed, frequency); break; case Dimension.SimplexGradient3D: - sample = SimplexGradientNoise.SampleGradient3D(point.x, point.y, point.z, seed, frequency); + sample = SimplexGradientNoise.Gradient3D(point.x, point.y, point.z, seed, frequency); break; } return sample; From 863db6bb581c878a7dd4e6ac12b21a27257bb695 Mon Sep 17 00:00:00 2001 From: Cory Leach Date: Sat, 25 Feb 2023 14:48:02 -0600 Subject: [PATCH 18/21] Moved fractal methods into Utility class to reduce code duplication. --- Runtime/Utility/FractalUtility.cs | 97 ++++++++++++++ Runtime/Utility/FractalUtility.cs.meta | 3 + Runtime/Utility/PerlinGradientNoise.cs | 132 +++++-------------- Runtime/Utility/SimplexGradientNoise.cs | 71 +++++----- Runtime/Utility/ValueNoise.cs | 127 +++++------------- Runtime/Visualizers/NoiseVisualizer2D.cs | 28 ++-- Runtime/Visualizers/SurfaceMeshVisualizer.cs | 2 +- 7 files changed, 211 insertions(+), 249 deletions(-) create mode 100644 Runtime/Utility/FractalUtility.cs create mode 100644 Runtime/Utility/FractalUtility.cs.meta diff --git a/Runtime/Utility/FractalUtility.cs b/Runtime/Utility/FractalUtility.cs new file mode 100644 index 0000000..65fa3e3 --- /dev/null +++ b/Runtime/Utility/FractalUtility.cs @@ -0,0 +1,97 @@ +using System; + +namespace Gameframe.Procgen +{ + public static class FractalUtility + { + public static NoiseSample Sample1D(Func action, float x, uint seed, float frequency, int octaves, float lacunarity = 2f, float persistence = 0.5f) + { + var sum = action(x, seed, frequency); + var amplitude = 1f; + var range = 1f; + for (var i = 1; i < octaves; i++) + { + frequency *= lacunarity; + amplitude *= persistence; + range += amplitude; + sum += action(x, seed, frequency) * amplitude; + } + return sum * (1 / range); + } + + public static float Float1D(Func action, float x, uint seed, float frequency, int octaves, float lacunarity = 2f, float persistence = 0.5f) + { + var sum = action(x, seed, frequency); + var amplitude = 1f; + var range = 1f; + for (var i = 1; i < octaves; i++) + { + frequency *= lacunarity; + amplitude *= persistence; + range += amplitude; + sum += action(x, seed, frequency) * amplitude; + } + return sum * (1 / range); + } + + public static NoiseSample Sample2D(Func action, float x, float y, uint seed, float frequency, int octaves, float lacunarity = 2f, float persistence = 0.5f) + { + var sum = action(x, y, seed, frequency); + var amplitude = 1f; + var range = 1f; + for (var i = 1; i < octaves; i++) + { + frequency *= lacunarity; + amplitude *= persistence; + range += amplitude; + sum += action(x, y, seed, frequency) * amplitude; + } + return sum * (1 / range); + } + + public static float Float2D(Func action, float x, float y, uint seed, float frequency, int octaves, float lacunarity = 2f, float persistence = 0.5f) + { + var sum = action(x, y, seed, frequency); + var amplitude = 1f; + var range = 1f; + for (var i = 1; i < octaves; i++) + { + frequency *= lacunarity; + amplitude *= persistence; + range += amplitude; + sum += action(x, y, seed, frequency) * amplitude; + } + return sum * (1 / range); + } + + public static NoiseSample Sample3D(Func action, float x, float y, float z, uint seed, float frequency, int octaves, float lacunarity = 2f, float persistence = 0.5f) + { + var sum = action(x, y, z, seed, frequency); + var amplitude = 1f; + var range = 1f; + for (var i = 1; i < octaves; i++) + { + frequency *= lacunarity; + amplitude *= persistence; + range += amplitude; + sum += action(x, y, z, seed, frequency) * amplitude; + } + return sum * (1 / range); + } + + public static float Float3D(Func action, float x, float y, float z, uint seed, float frequency, int octaves, float lacunarity = 2f, float persistence = 0.5f) + { + var sum = action(x, y, z, seed, frequency); + var amplitude = 1f; + var range = 1f; + for (var i = 1; i < octaves; i++) + { + frequency *= lacunarity; + amplitude *= persistence; + range += amplitude; + sum += action(x, y, z, seed, frequency) * amplitude; + } + return sum * (1 / range); + } + } +} diff --git a/Runtime/Utility/FractalUtility.cs.meta b/Runtime/Utility/FractalUtility.cs.meta new file mode 100644 index 0000000..14985b1 --- /dev/null +++ b/Runtime/Utility/FractalUtility.cs.meta @@ -0,0 +1,3 @@ +fileFormatVersion: 2 +guid: 432194094f39432f987c10e98e28e4ba +timeCreated: 1677356242 \ No newline at end of file diff --git a/Runtime/Utility/PerlinGradientNoise.cs b/Runtime/Utility/PerlinGradientNoise.cs index 87c2ad7..9897aea 100644 --- a/Runtime/Utility/PerlinGradientNoise.cs +++ b/Runtime/Utility/PerlinGradientNoise.cs @@ -23,21 +23,9 @@ public static class PerlinGradientNoise /// frequency is multiplied by this number ever octave /// measure of how much each octave will contribute. Values gt 1 make each octave larger. Values gt 0 but lt 1 make each successive octave contribution smaller. /// Random value between 0 and 1 - public static float Fractal1D(float x, uint seed, float frequency, int octaves, float lacunarity = 2f, - float persistence = 0.5f) + public static float Fractal1D(float x, uint seed, float frequency, int octaves, float lacunarity = 2f, float persistence = 0.5f) { - var sum = Noise1D(x * frequency, seed); - var amplitude = 1f; - var range = 1f; - for (var i = 1; i < octaves; i++) - { - frequency *= lacunarity; - amplitude *= persistence; - range += amplitude; - sum += Noise1D(x * frequency, seed) * amplitude; - } - - return sum / range; + return FractalUtility.Float1D(Noise1D, x, seed, frequency, octaves, lacunarity, persistence); } /// @@ -50,22 +38,9 @@ public static float Fractal1D(float x, uint seed, float frequency, int octaves, /// frequency is multiplied by this number ever octave /// measure of how much each octave will contribute. Values gt 1 make each octave larger. Values gt 0 but lt 1 make each successive octave contribution smaller. /// Noise sample which includes value in range 0 to 1 and derivative of noise function at the sampled location - public static NoiseSample FractalSample1D(float x, uint seed, float frequency, int octaves, - float lacunarity = 2f, - float persistence = 0.5f) + public static NoiseSample FractalSample1D(float x, uint seed, float frequency, int octaves, float lacunarity = 2f, float persistence = 0.5f) { - var sum = Sample1D(x, seed, frequency); - var amplitude = 1f; - var range = 1f; - for (var i = 1; i < octaves; i++) - { - frequency *= lacunarity; - amplitude *= persistence; - range += amplitude; - sum += Sample1D(x, seed, frequency) * amplitude; - } - - return sum * (1 / range); + return FractalUtility.Sample1D(Sample1D, x, seed, frequency, octaves, lacunarity, persistence); } /// @@ -79,21 +54,9 @@ public static NoiseSample FractalSample1D(float x, uint seed, float frequency, i /// frequency is multiplied by this number ever octave /// measure of how much each octave will contribute. Values gt 1 make each octave larger. Values gt 0 but lt 1 make each successive octave contribution smaller. /// Random value between 0 and 1 - public static float Fractal2D(float x, float y, uint seed, float frequency, int octaves, - float lacunarity = 2f, float persistence = 0.5f) + public static float Fractal2D(float x, float y, uint seed, float frequency, int octaves, float lacunarity = 2f, float persistence = 0.5f) { - var sum = Noise2D(x * frequency, y * frequency, seed); - var amplitude = 1f; - var range = 1f; - for (var i = 1; i < octaves; i++) - { - frequency *= lacunarity; - amplitude *= persistence; - range += amplitude; - sum += Noise2D(x * frequency, y * frequency, seed) * amplitude; - } - - return sum / range; + return FractalUtility.Float2D(Noise2D, x, y, seed, frequency, octaves, lacunarity, persistence); } /// @@ -106,8 +69,7 @@ public static float Fractal2D(float x, float y, uint seed, float frequency, int /// frequency is multiplied by this number ever octave /// measure of how much each octave will contribute. Values gt 1 make each octave larger. Values gt 0 but lt 1 make each successive octave contribution smaller. /// Noise sample which includes value in range 0 to 1 and derivative of noise function at the sampled location - public static NoiseSample FractalSample2D(Vector2 point, uint seed, float frequency, int octaves, - float lacunarity = 2f, float persistence = 0.5f) + public static NoiseSample FractalSample2D(Vector2 point, uint seed, float frequency, int octaves, float lacunarity = 2f, float persistence = 0.5f) { return FractalSample2D(point.x, point.y, seed, frequency, octaves, lacunarity, persistence); } @@ -123,21 +85,9 @@ public static NoiseSample FractalSample2D(Vector2 point, uint seed, float freque /// frequency is multiplied by this number ever octave /// measure of how much each octave will contribute. Values gt 1 make each octave larger. Values gt 0 but lt 1 make each successive octave contribution smaller. /// Noise sample which includes value in range 0 to 1 and derivative of noise function at the sampled location - public static NoiseSample FractalSample2D(float x, float y, uint seed, float frequency, int octaves, - float lacunarity = 2f, float persistence = 0.5f) + public static NoiseSample FractalSample2D(float x, float y, uint seed, float frequency, int octaves, float lacunarity = 2f, float persistence = 0.5f) { - var sum = Sample2D(x, y, seed, frequency); - var amplitude = 1f; - var range = 1f; - for (var i = 1; i < octaves; i++) - { - frequency *= lacunarity; - amplitude *= persistence; - range += amplitude; - sum += Sample2D(x, y, seed, frequency) * amplitude; - } - - return sum * (1 / range); + return FractalUtility.Sample2D(Sample2D, x, y, seed, frequency, octaves, lacunarity, persistence); } /// @@ -150,8 +100,7 @@ public static NoiseSample FractalSample2D(float x, float y, uint seed, float fre /// frequency is multiplied by this number ever octave /// measure of how much each octave will contribute. Values gt 1 make each octave larger. Values gt 0 but lt 1 make each successive octave contribution smaller. /// Random value between 0 and 1 - public static float Fractal2D(Vector2 position, uint seed, float frequency, int octaves, float lacunarity = 2, - float persistence = 0.5f) + public static float Fractal2D(Vector2 position, uint seed, float frequency, int octaves, float lacunarity = 2, float persistence = 0.5f) { return Fractal2D(position.x, position.y, seed, frequency, octaves, lacunarity, persistence); } @@ -168,21 +117,9 @@ public static float Fractal2D(Vector2 position, uint seed, float frequency, int /// frequency is multiplied by this number ever octave /// measure of how much each octave will contribute. Values gt 1 make each octave larger. Values gt 0 but lt 1 make each successive octave contribution smaller. /// Random value between 0 and 1 - public static float Fractal3D(float x, float y, float z, uint seed, float frequency, int octaves, - float lacunarity = 2f, float persistence = 0.5f) + public static float Fractal3D(float x, float y, float z, uint seed, float frequency, int octaves, float lacunarity = 2f, float persistence = 0.5f) { - var sum = Noise3D(x * frequency, y * frequency, z * frequency, seed); - var amplitude = 1f; - var range = 1f; - for (var i = 1; i < octaves; i++) - { - frequency *= lacunarity; - amplitude *= persistence; - range += amplitude; - sum += Noise3D(x * frequency, y * frequency, z * frequency, seed) * amplitude; - } - - return sum / range; + return FractalUtility.Float3D(Noise3D, x, y, z, seed, frequency, octaves, lacunarity, persistence); } /// @@ -195,8 +132,7 @@ public static float Fractal3D(float x, float y, float z, uint seed, float freque /// frequency is multiplied by this number ever octave /// measure of how much each octave will contribute. Values gt 1 make each octave larger. Values gt 0 but lt 1 make each successive octave contribution smaller. /// Noise sample which includes value in range 0 to 1 and derivative of noise function at the sampled location - public static NoiseSample FractalSample3D(Vector3 point, uint seed, float frequency, int octaves, - float lacunarity = 2f, float persistence = 0.5f) + public static NoiseSample FractalSample3D(Vector3 point, uint seed, float frequency, int octaves, float lacunarity = 2f, float persistence = 0.5f) { return FractalSample3D(point.x, point.y, point.z, seed, frequency, octaves, lacunarity, persistence); } @@ -213,21 +149,9 @@ public static NoiseSample FractalSample3D(Vector3 point, uint seed, float freque /// frequency is multiplied by this number ever octave /// measure of how much each octave will contribute. Values gt 1 make each octave larger. Values gt 0 but lt 1 make each successive octave contribution smaller. /// Noise sample which includes value in range 0 to 1 and derivative of noise function at the sampled location - public static NoiseSample FractalSample3D(float x, float y, float z, uint seed, float frequency, int octaves, - float lacunarity = 2f, float persistence = 0.5f) + public static NoiseSample FractalSample3D(float x, float y, float z, uint seed, float frequency, int octaves, float lacunarity = 2f, float persistence = 0.5f) { - var sum = Sample3D(x, y, z, seed, frequency); - var amplitude = 1f; - var range = 1f; - for (var i = 1; i < octaves; i++) - { - frequency *= lacunarity; - amplitude *= persistence; - range += amplitude; - sum += Sample3D(x, y, z, seed, frequency) * amplitude; - } - - return sum * (1f / range); + return FractalUtility.Sample3D(Sample3D, x, y, z, seed, frequency, octaves, lacunarity, persistence); } /// @@ -240,8 +164,7 @@ public static NoiseSample FractalSample3D(float x, float y, float z, uint seed, /// frequency is multiplied by this number ever octave /// measure of how much each octave will contribute. Values gt 1 make each octave larger. Values gt 0 but lt 1 make each successive octave contribution smaller. /// Random value between 0 and 1 - public static float Fractal3D(Vector3 position, uint seed, float frequency, int octaves, float lacunarity = 2, - float persistence = 0.5f) + public static float Fractal3D(Vector3 position, uint seed, float frequency, int octaves, float lacunarity = 2, float persistence = 0.5f) { return Fractal3D(position.x, position.y, position.z, seed, frequency, octaves, lacunarity, persistence); } @@ -256,8 +179,10 @@ public static float Fractal3D(Vector3 position, uint seed, float frequency, int /// x position /// rng seed /// value between 0 and 1 (inclusive) - public static float Noise1D(float x, uint seed) + public static float Noise1D(float x, uint seed, float frequency = 1f) { + x *= frequency; + var x0 = Mathf.FloorToInt(x); var x1 = x0 + 1; @@ -330,8 +255,11 @@ public static NoiseSample Sample1D(float x, uint seed, float frequency = 1) /// y position /// rng seed /// value between 0 and 1 (inclusive) - public static float Noise2D(float x, float y, uint seed) + public static float Noise2D(float x, float y, uint seed, float frequency = 1f) { + x *= frequency; + y *= frequency; + var x0 = Mathf.FloorToInt(x); var x1 = x0 + 1; @@ -449,9 +377,9 @@ public static NoiseSample Sample2D(float x, float y, uint seed, float frequency /// Vector2 position /// rng seed /// value between 0 and 1 (inclusive) - public static float Noise2D(Vector2 position, uint seed) + public static float Noise2D(Vector2 position, uint seed, float frequency = 1f) { - return Noise2D(position.x, position.y, seed); + return Noise2D(position.x, position.y, seed, frequency); } /// @@ -462,8 +390,12 @@ public static float Noise2D(Vector2 position, uint seed) /// z position /// rng seed /// value between 0 and 1 (inclusive) - public static float Noise3D(float x, float y, float z, uint seed) + public static float Noise3D(float x, float y, float z, uint seed, float frequency = 1f) { + x *= frequency; + y *= frequency; + z *= frequency; + var x0 = Mathf.FloorToInt(x); var x1 = x0 + 1; @@ -625,9 +557,9 @@ public static NoiseSample Sample3D(float x, float y, float z, uint seed, float f /// Vector3 position /// rng seed /// value between 0 and 1 (inclusive) - public static float Noise3D(Vector3 position, uint seed) + public static float Noise3D(Vector3 position, uint seed, float frequency = 1f) { - return Noise3D(position.x, position.y, position.z, seed); + return Noise3D(position.x, position.y, position.z, seed, frequency); } #endregion diff --git a/Runtime/Utility/SimplexGradientNoise.cs b/Runtime/Utility/SimplexGradientNoise.cs index 647f296..413ca40 100644 --- a/Runtime/Utility/SimplexGradientNoise.cs +++ b/Runtime/Utility/SimplexGradientNoise.cs @@ -1,4 +1,3 @@ -using System; using UnityEngine; namespace Gameframe.Procgen @@ -27,24 +26,6 @@ public static NoiseSample Value1D(float pointX, uint seed, float frequency) return sample; } - private static NoiseSample _Value1DPart(float pointX, int ix, uint seed) - { - var x = pointX - ix; - var f = 1f - x * x; - var f2 = f * f; - var f3 = f * f2; - - var h = Hash1D(ix, seed); - - return new NoiseSample - { - value = f3 * h, - derivative = new Vector3 - { - x = -6f * h * x * f2 - } - }; - } public static NoiseSample Gradient1D(float pointX, uint seed, float frequency) { pointX *= frequency; @@ -61,6 +42,14 @@ public static NoiseSample Gradient1D(float pointX, uint seed, float frequency) sample.value = (sample.value + 1) * 0.5f; return sample; } + public static NoiseSample FractalGradient1D(float pointX, uint seed, float frequency, int octaves, float lacunarity = 2f, float persistence = 0.5f) + { + return FractalUtility.Sample1D(Gradient1D, pointX, seed, frequency, octaves, lacunarity, persistence); + } + public static NoiseSample FractalValue1D(float pointX, uint seed, float frequency, int octaves, float lacunarity = 2f, float persistence = 0.5f) + { + return FractalUtility.Sample1D(Value1D, pointX, seed, frequency, octaves, lacunarity, persistence); + } private static NoiseSample _Gradient1DPart(float pointX, int ix, uint seed) { var x = pointX - ix; @@ -80,6 +69,24 @@ private static NoiseSample _Gradient1DPart(float pointX, int ix, uint seed) } }; } + private static NoiseSample _Value1DPart(float pointX, int ix, uint seed) + { + var x = pointX - ix; + var f = 1f - x * x; + var f2 = f * f; + var f3 = f * f2; + + var h = Hash1D(ix, seed); + + return new NoiseSample + { + value = f3 * h, + derivative = new Vector3 + { + x = -6f * h * x * f2 + } + }; + } private static float Hash1D(int value, uint seed) { return SquirrelEiserloh.Get1dNoiseZeroToOne(value, seed); @@ -149,6 +156,14 @@ public static NoiseSample Gradient2D(float x, float y, uint seed, float frequenc return sample; } + public static NoiseSample FractalGradient2D(float x, float y, uint seed, float frequency, int octaves, float lacunarity = 2f, float persistence = 0.5f) + { + return FractalUtility.Sample2D(Gradient2D, x, y, seed, frequency, octaves, lacunarity, persistence); + } + public static NoiseSample FractalValue2D(float x, float y, uint seed, float frequency, int octaves, float lacunarity = 2f, float persistence = 0.5f) + { + return FractalUtility.Sample2D(Value2D, x, y, seed, frequency, octaves, lacunarity, persistence); + } private static NoiseSample _Value2DPart(float x, float y, int ix, int iy, uint seed) { var unskew = (ix + iy) * SquaresToTriangles; @@ -354,25 +369,11 @@ public static NoiseSample Gradient3D(float x, float y, float z, uint seed, float } public static NoiseSample FractalGradient3D(float x, float y, float z, uint seed, float frequency, int octaves, float lacunarity = 2f, float persistence = 0.5f) { - return _SampleFractal3D(Gradient3D, x, y, z, seed, frequency, octaves, lacunarity, persistence); + return FractalUtility.Sample3D(Gradient3D, x, y, z, seed, frequency, octaves, lacunarity, persistence); } public static NoiseSample FractalValue3D(float x, float y, float z, uint seed, float frequency, int octaves, float lacunarity = 2f, float persistence = 0.5f) { - return _SampleFractal3D(Value3D, x, y, z, seed, frequency, octaves, lacunarity, persistence); - } - private static NoiseSample _SampleFractal3D(Func action, float x, float y, float z, uint seed, float frequency, int octaves, float lacunarity = 2f, float persistence = 0.5f) - { - var sum = action(x, y, z, seed, frequency); - var amplitude = 1f; - var range = 1f; - for (var i = 1; i < octaves; i++) - { - frequency *= lacunarity; - amplitude *= persistence; - range += amplitude; - sum += action(x, y, z, seed, frequency) * amplitude; - } - return sum * (1 / range); + return FractalUtility.Sample3D(Value3D, x, y, z, seed, frequency, octaves, lacunarity, persistence); } private static NoiseSample _Value3DPart(float x, float y, float z, int ix, int iy, int iz, uint seed) { diff --git a/Runtime/Utility/ValueNoise.cs b/Runtime/Utility/ValueNoise.cs index cc2c286..6d2463e 100644 --- a/Runtime/Utility/ValueNoise.cs +++ b/Runtime/Utility/ValueNoise.cs @@ -5,7 +5,7 @@ namespace Gameframe.Procgen { /// /// Utility methods for random value noise generation - /// This noise usually has a very block-y appearance when visualized + /// This noise usually has a very blocky appearance when visualized /// public static class ValueNoise { @@ -21,38 +21,14 @@ public static class ValueNoise /// frequency is multiplied by this number ever octave /// measure of how much each octave will contribute. Values gt 1 make each octave larger. Values gt 0 but lt 1 make each successive octave contribution smaller. /// Random value between 0 and 1 - public static float Fractal1D(float x, uint seed, float frequency, int octaves, float lacunarity = 2f, - float persistence = 0.5f) + public static float Fractal1D(float x, uint seed, float frequency, int octaves, float lacunarity = 2f, float persistence = 0.5f) { - var sum = Noise1D(x * frequency, seed); - var amplitude = 1f; - var range = 1f; - for (var i = 1; i < octaves; i++) - { - frequency *= lacunarity; - amplitude *= persistence; - range += amplitude; - sum += Noise1D(x * frequency, seed) * amplitude; - } - - return sum / range; + return FractalUtility.Float1D(Noise1D, x, seed, frequency, octaves, lacunarity, persistence); } - public static NoiseSample FractalSample1D(float x, uint seed, float frequency, int octaves, - float lacunarity = 2f, float persistence = 0.5f) + public static NoiseSample FractalSample1D(float x, uint seed, float frequency, int octaves, float lacunarity = 2f, float persistence = 0.5f) { - var sum = Sample1D(x, seed, frequency); - var amplitude = 1f; - var range = 1f; - for (var i = 1; i < octaves; i++) - { - frequency *= lacunarity; - amplitude *= persistence; - range += amplitude; - sum += Sample1D(x, seed, frequency) * amplitude; - } - - return sum * (1f / range); + return FractalUtility.Sample1D(Sample1D, x, seed, frequency, octaves, lacunarity, persistence); } /// @@ -66,21 +42,9 @@ public static NoiseSample FractalSample1D(float x, uint seed, float frequency, i /// frequency is multiplied by this number ever octave /// measure of how much each octave will contribute. Values gt 1 make each octave larger. Values gt 0 but lt 1 make each successive octave contribution smaller. /// Random value between 0 and 1 - public static float Fractal2D(float x, float y, uint seed, float frequency, int octaves, - float lacunarity = 2f, float persistence = 0.5f) + public static float Fractal2D(float x, float y, uint seed, float frequency, int octaves, float lacunarity = 2f, float persistence = 0.5f) { - var sum = Noise2D(x * frequency, y * frequency, seed); - var amplitude = 1f; - var range = 1f; - for (var i = 1; i < octaves; i++) - { - frequency *= lacunarity; - amplitude *= persistence; - range += amplitude; - sum += Noise2D(x * frequency, y * frequency, seed) * amplitude; - } - - return sum / range; + return FractalUtility.Float2D(Noise2D, x, y, seed, frequency, octaves, lacunarity, persistence); } public static NoiseSample FractalSample2D(Vector2 point, uint seed, float frequency, int octaves, float lacunarity = 2f, float persistence = 0.5f) @@ -88,21 +52,9 @@ public static NoiseSample FractalSample2D(Vector2 point, uint seed, float freque return FractalSample2D(point.x, point.y, seed, frequency, octaves, lacunarity, persistence); } - public static NoiseSample FractalSample2D(float x, float y, uint seed, float frequency, int octaves, - float lacunarity = 2f, float persistence = 0.5f) + public static NoiseSample FractalSample2D(float x, float y, uint seed, float frequency, int octaves, float lacunarity = 2f, float persistence = 0.5f) { - var sum = Sample2D(x * frequency, y * frequency, seed); - var amplitude = 1f; - var range = 1f; - for (var i = 1; i < octaves; i++) - { - frequency *= lacunarity; - amplitude *= persistence; - range += amplitude; - sum += Sample2D(x * frequency, y * frequency, seed) * amplitude; - } - - return sum * (1f / range); + return FractalUtility.Sample2D(Sample2D, x, y, seed, frequency, octaves, lacunarity, persistence); } /// @@ -115,8 +67,7 @@ public static NoiseSample FractalSample2D(float x, float y, uint seed, float fre /// frequency is multiplied by this number ever octave /// measure of how much each octave will contribute. Values gt 1 make each octave larger. Values gt 0 but lt 1 make each successive octave contribution smaller. /// Random value between 0 and 1 - public static float Fractal2D(Vector2 point, uint seed, float frequency, int octaves, float lacunarity = 2, - float persistence = 0.5f) + public static float Fractal2D(Vector2 point, uint seed, float frequency, int octaves, float lacunarity = 2, float persistence = 0.5f) { return Fractal2D(point.x, point.y, seed, frequency, octaves, lacunarity, persistence); } @@ -133,21 +84,9 @@ public static float Fractal2D(Vector2 point, uint seed, float frequency, int oct /// frequency is multiplied by this number ever octave /// measure of how much each octave will contribute. Values gt 1 make each octave larger. Values gt 0 but lt 1 make each successive octave contribution smaller. /// Random value between 0 and 1 - public static float Fractal3D(float x, float y, float z, uint seed, float frequency, int octaves, - float lacunarity = 2f, float persistence = 0.5f) + public static float Fractal3D(float x, float y, float z, uint seed, float frequency, int octaves, float lacunarity = 2f, float persistence = 0.5f) { - var sum = Noise3D(x * frequency, y * frequency, z * frequency, seed); - var amplitude = 1f; - var range = 1f; - for (var i = 1; i < octaves; i++) - { - frequency *= lacunarity; - amplitude *= persistence; - range += amplitude; - sum += Noise3D(x * frequency, y * frequency, z * frequency, seed) * amplitude; - } - - return sum / range; + return FractalUtility.Float3D(Noise3D, x, y, z, seed, frequency, octaves, lacunarity, persistence); } public static NoiseSample FractalSample3D(Vector3 point, uint seed, float frequency, int octaves, float lacunarity = 2f, float persistence = 0.5f) @@ -155,21 +94,9 @@ public static NoiseSample FractalSample3D(Vector3 point, uint seed, float freque return FractalSample3D(point.x, point.y, point.z, seed, frequency, octaves, lacunarity, persistence); } - public static NoiseSample FractalSample3D(float x, float y, float z, uint seed, float frequency, int octaves, - float lacunarity = 2f, float persistence = 0.5f) + public static NoiseSample FractalSample3D(float x, float y, float z, uint seed, float frequency, int octaves, float lacunarity = 2f, float persistence = 0.5f) { - var sum = Sample3D(x * frequency, y * frequency, z * frequency, seed); - var amplitude = 1f; - var range = 1f; - for (var i = 1; i < octaves; i++) - { - frequency *= lacunarity; - amplitude *= persistence; - range += amplitude; - sum += Sample3D(x * frequency, y * frequency, z * frequency, seed) * amplitude; - } - - return sum * (1f / range); + return FractalUtility.Sample3D(Sample3D, x, y, z, seed, frequency, octaves, lacunarity, persistence); } /// @@ -182,8 +109,7 @@ public static NoiseSample FractalSample3D(float x, float y, float z, uint seed, /// frequency is multiplied by this number ever octave /// measure of how much each octave will contribute. Values gt 1 make each octave larger. Values gt 0 but lt 1 make each successive octave contribution smaller. /// Random value between 0 and 1 - public static float Fractal3D(Vector3 point, uint seed, float frequency, int octaves, float lacunarity = 2, - float persistence = 0.5f) + public static float Fractal3D(Vector3 point, uint seed, float frequency, int octaves, float lacunarity = 2, float persistence = 0.5f) { return Fractal3D(point.x, point.y, point.z, seed, frequency, octaves, lacunarity, persistence); } @@ -192,8 +118,10 @@ public static float Fractal3D(Vector3 point, uint seed, float frequency, int oct #region Regular Noise - public static float Noise1D(float x, uint seed) + public static float Noise1D(float x, uint seed, float frequency = 1) { + x *= frequency; + var x0 = Mathf.FloorToInt(x); var x1 = x0 + 1; @@ -235,8 +163,11 @@ public static NoiseSample Sample1D(float x, uint seed, float frequency = 1) return sample; } - public static float Noise2D(float x, float y, uint seed) + public static float Noise2D(float x, float y, uint seed, float frequency = 1) { + x *= frequency; + y *= frequency; + var x0 = Mathf.FloorToInt(x); var y0 = Mathf.FloorToInt(y); var x1 = x0 + 1; @@ -298,18 +229,22 @@ public static NoiseSample Sample2D(float x, float y, uint seed, float frequency return sample; } - public static float Noise2D(Vector2 v, uint seed) + public static float Noise2D(Vector2 v, uint seed, float frequency = 1f) { - return Noise2D(v.x, v.y, seed); + return Noise2D(v.x, v.y, seed, frequency); } - public static float Noise3D(Vector3 v, uint seed) + public static float Noise3D(Vector3 v, uint seed, float frequency = 1f) { - return Noise3D(v.x, v.y, v.z, seed); + return Noise3D(v.x, v.y, v.z, seed, frequency); } - public static float Noise3D(float x, float y, float z, uint seed) + public static float Noise3D(float x, float y, float z, uint seed, float frequency = 1f) { + x *= frequency; + y *= frequency; + z *= frequency; + var x0 = Mathf.FloorToInt(x); var y0 = Mathf.FloorToInt(y); var z0 = Mathf.FloorToInt(z); diff --git a/Runtime/Visualizers/NoiseVisualizer2D.cs b/Runtime/Visualizers/NoiseVisualizer2D.cs index 1225f3e..ed7a665 100644 --- a/Runtime/Visualizers/NoiseVisualizer2D.cs +++ b/Runtime/Visualizers/NoiseVisualizer2D.cs @@ -112,20 +112,16 @@ private void Generate() switch (dimension) { case Dimension.Value1D: - v = ValueNoise.Fractal1D(point.x * frequency, seed, frequency, octaves, lacunarity, - persistence); + v = ValueNoise.Fractal1D(point.x * frequency, seed, frequency, octaves, lacunarity, persistence); break; case Dimension.Value2D: - v = ValueNoise.Fractal2D(point * frequency, seed, frequency, octaves, lacunarity, - persistence); + v = ValueNoise.Fractal2D(point * frequency, seed, frequency, octaves, lacunarity, persistence); break; case Dimension.Value3D: - v = ValueNoise.Fractal3D(point * frequency, seed, frequency, octaves, lacunarity, - persistence); + v = ValueNoise.Fractal3D(point * frequency, seed, frequency, octaves, lacunarity, persistence); break; case Dimension.Perlin1D: - v = PerlinGradientNoise.Fractal1D(point.x, seed, frequency, octaves, lacunarity, - persistence); + v = PerlinGradientNoise.Fractal1D(point.x, seed, frequency, octaves, lacunarity, persistence); break; case Dimension.Perlin2D: v = PerlinGradientNoise.Fractal2D(point.x, point.y, seed, frequency, octaves, lacunarity, @@ -136,27 +132,25 @@ private void Generate() lacunarity, persistence); break; case Dimension.SamplePerlin2D: - v = PerlinGradientNoise.FractalSample2D(point.x, point.y, seed, frequency, octaves, - lacunarity, persistence).value; + v = PerlinGradientNoise.FractalSample2D(point.x, point.y, seed, frequency, octaves, lacunarity, persistence).value; break; case Dimension.SamplePerlin3D: - v = PerlinGradientNoise.FractalSample3D(point.x, point.y, point.z, seed, frequency, octaves, - lacunarity, persistence).value; + v = PerlinGradientNoise.FractalSample3D(point.x, point.y, point.z, seed, frequency, octaves, lacunarity, persistence).value; break; case Dimension.SimplexValue1D: - v = SimplexGradientNoise.Value1D(point.x, seed, frequency).value; + v = SimplexGradientNoise.FractalValue1D(point.x, seed, frequency, octaves, lacunarity, persistence).value; break; case Dimension.SimplexValue2D: - v = SimplexGradientNoise.Value2D(point.x, point.y, seed, frequency).value; + v = SimplexGradientNoise.FractalValue2D(point.x, point.y, seed, frequency, octaves, lacunarity, persistence).value; break; case Dimension.SimplexValue3D: - v = SimplexGradientNoise.Value3D(point.x, point.y, point.z, seed, frequency).value; + v = SimplexGradientNoise.FractalValue3D(point.x, point.y, point.z, seed, frequency, octaves, lacunarity, persistence).value; break; case Dimension.SimplexGradient1D: - v = SimplexGradientNoise.Gradient1D(point.x, seed, frequency).value; + v = SimplexGradientNoise.FractalGradient1D(point.x, seed, frequency, octaves, lacunarity, persistence).value; break; case Dimension.SimplexGradient2D: - v = SimplexGradientNoise.Gradient2D(point.x, point.y, seed, frequency).value; + v = SimplexGradientNoise.FractalGradient2D(point.x, point.y, seed, frequency, octaves, lacunarity, persistence).value; break; case Dimension.SimplexGradient3D: v = SimplexGradientNoise.FractalGradient3D(point.x, point.y, point.z, seed, frequency, octaves, lacunarity, persistence).value; diff --git a/Runtime/Visualizers/SurfaceMeshVisualizer.cs b/Runtime/Visualizers/SurfaceMeshVisualizer.cs index 52b7c58..a5550eb 100644 --- a/Runtime/Visualizers/SurfaceMeshVisualizer.cs +++ b/Runtime/Visualizers/SurfaceMeshVisualizer.cs @@ -199,7 +199,7 @@ private NoiseSample Noise(Vector3 point) sample = SimplexGradientNoise.Gradient2D(point.x, point.y, seed, frequency); break; case Dimension.SimplexGradient3D: - sample = SimplexGradientNoise.Gradient3D(point.x, point.y, point.z, seed, frequency); + sample = SimplexGradientNoise.FractalGradient3D(point.x, point.y, point.z, seed, frequency, octaves, lacunarity, persistence); break; } return sample; From 95e7dabe770b289fbd50071124cee0d1c1437274 Mon Sep 17 00:00:00 2001 From: Cory Leach Date: Sat, 25 Feb 2023 15:23:42 -0600 Subject: [PATCH 19/21] Modified HightMapLayerGenerator to use Simplex 2D fractal noise. --- Runtime/Utility/Noise.cs | 64 +------------------ Runtime/Visualizers/NoiseVisualizer2D.cs | 11 ++-- Runtime/Visualizers/SurfaceMeshVisualizer.cs | 8 ++- .../Layers/HeightMapLayerGenerator.cs | 19 +++--- Runtime/WorldMap/WorldMapData.cs | 2 +- 5 files changed, 25 insertions(+), 79 deletions(-) diff --git a/Runtime/Utility/Noise.cs b/Runtime/Utility/Noise.cs index 44347c5..9ae5dfc 100644 --- a/Runtime/Utility/Noise.cs +++ b/Runtime/Utility/Noise.cs @@ -16,75 +16,17 @@ public static class Noise /// /// /// - public static float[,] GenerateNoiseMap(int mapWidth, int mapHeight, int seed, Vector2 offset, float scale, int octaves = 4, float persistence = 0.5f, float lacunarity = 2f, float[,] falloffMap = null) + public static float[,] GenerateNoiseMap(int mapWidth, int mapHeight, uint seed, Vector2 offset, float frequency, int octaves = 4, float persistence = 0.5f, float lacunarity = 2f, float[,] falloffMap = null) { var noiseMap = new float[mapWidth, mapHeight]; //Generate some random offsets based on the seed - var rng = new System.Random(seed); - var octaveOffsets = new Vector2[octaves]; - for (int i = 0; i < octaves; i++) - { - octaveOffsets[i] = new Vector2 - { - x = rng.Next(-100000, 100000) + offset.x, - y = rng.Next(-100000, 100000) + offset.y - }; - } - - scale = Mathf.Max(scale, 0.0000001f); - - var maxNoiseHeight = float.MinValue; - var minNoiseHeight = float.MaxValue; - - var halfWidth = mapWidth * 0.5f; - var halfHeight = mapHeight * 0.5f; - - for (int y = 0; y < mapHeight; y++) - { - for (int x = 0; x < mapWidth; x++) - { - float amplitude = 1; - float frequency = 1; - float noiseHeight = 0; - - for (int i = 0; i < octaves; i++) - { - var sampleX = (x-halfWidth) / scale * frequency + octaveOffsets[i].x; - var sampleY = (y-halfHeight) / scale * frequency + octaveOffsets[i].y; - - //Multiply by 2 and subtract one to create values in the range range -1 to 1 - //We can come back and normalize values later - var perlinValue = Mathf.PerlinNoise(sampleX, sampleY) * 2 - 1; - noiseHeight += perlinValue * amplitude; - amplitude *= persistence; - frequency *= lacunarity; - } - - //Track min and max values to normalize values later - if (noiseHeight > maxNoiseHeight) - { - maxNoiseHeight = noiseHeight; - } - else if (noiseHeight < minNoiseHeight) - { - minNoiseHeight = noiseHeight; - } - - noiseMap[x, y] = noiseHeight; - } - } - - //Normalize Noise Map so all values are in range 0 to 1 for (int y = 0; y < mapHeight; y++) { for (int x = 0; x < mapWidth; x++) { - noiseMap[x, y] = Mathf.InverseLerp(minNoiseHeight, maxNoiseHeight, noiseMap[x, y]); - if (falloffMap != null) - { - noiseMap[x, y] = Mathf.Clamp01(noiseMap[x, y] - falloffMap[x,y]); - } + var sample = SimplexGradientNoise.FractalGradient2D(x + offset.x, y + offset.y, seed, frequency, octaves, lacunarity, persistence); + noiseMap[x, y] = sample.value * (1f - falloffMap[x, y]); } } diff --git a/Runtime/Visualizers/NoiseVisualizer2D.cs b/Runtime/Visualizers/NoiseVisualizer2D.cs index ed7a665..6e5f89e 100644 --- a/Runtime/Visualizers/NoiseVisualizer2D.cs +++ b/Runtime/Visualizers/NoiseVisualizer2D.cs @@ -21,8 +21,6 @@ public class NoiseVisualizer2D : MonoBehaviour private Texture2D _texture; - private float minValue = float.MaxValue; - private float maxValue = float.MinValue; [ContextMenu("ResetMinMax")] public void ResetMinMax() @@ -53,6 +51,12 @@ public enum Dimension [SerializeField] private Vector3 offset; + [SerializeField] + private float minValue = float.MaxValue; + [SerializeField] + private float maxValue = float.MinValue; + + private void OnEnable() { Generate(); @@ -128,8 +132,7 @@ private void Generate() persistence); break; case Dimension.Perlin3D: - v = PerlinGradientNoise.Fractal3D(point.x, point.y, point.z, seed, frequency, octaves, - lacunarity, persistence); + v = PerlinGradientNoise.Fractal3D(point.x, point.y, point.z, seed, frequency, octaves, lacunarity, persistence); break; case Dimension.SamplePerlin2D: v = PerlinGradientNoise.FractalSample2D(point.x, point.y, seed, frequency, octaves, lacunarity, persistence).value; diff --git a/Runtime/Visualizers/SurfaceMeshVisualizer.cs b/Runtime/Visualizers/SurfaceMeshVisualizer.cs index a5550eb..c45d6e5 100644 --- a/Runtime/Visualizers/SurfaceMeshVisualizer.cs +++ b/Runtime/Visualizers/SurfaceMeshVisualizer.cs @@ -101,8 +101,10 @@ private void OnDrawGizmosSelected() } } - float minSample = float.MaxValue; - float maxSample = float.MinValue; + [SerializeField] + private float minSample = float.MaxValue; + [SerializeField] + private float maxSample = float.MinValue; [ContextMenu("ResetMinMax")] public void ResetMinMax() @@ -143,7 +145,7 @@ private void Refresh() } } - Debug.Log($"Min: {minSample} Max:{maxSample}"); + //Debug.Log($"Min: {minSample} Max:{maxSample}"); mesh.vertices = vertices; mesh.normals = normals; diff --git a/Runtime/WorldMap/Layers/HeightMapLayerGenerator.cs b/Runtime/WorldMap/Layers/HeightMapLayerGenerator.cs index fc5d64d..799f51d 100644 --- a/Runtime/WorldMap/Layers/HeightMapLayerGenerator.cs +++ b/Runtime/WorldMap/Layers/HeightMapLayerGenerator.cs @@ -1,5 +1,6 @@ using System; using UnityEngine; +using UnityEngine.Serialization; namespace Gameframe.Procgen { @@ -16,10 +17,10 @@ public enum MapType [SerializeField] private bool step = false; [SerializeField] private int stepCount = 10; - + [SerializeField] private Vector2 offset = Vector2.zero; - [SerializeField] private float noiseScale = 1; + [FormerlySerializedAs("noiseScale")] [SerializeField] private float frequency = 1; [SerializeField] private int octaves = 4; @@ -33,14 +34,14 @@ public enum MapType [SerializeField] private MapType mapType = MapType.Noise; - public HeightMapLayerData Generate(int width, int height, int seed) + public HeightMapLayerData Generate(int width, int height, uint seed) { float[,] noiseMap; switch (mapType) { case MapType.Noise: - noiseMap = Noise.GenerateNoiseMap(width, height, seed, offset, noiseScale, octaves, + noiseMap = Noise.GenerateNoiseMap(width, height, seed, offset, frequency, octaves, persistence, lacunarity); break; case MapType.Falloff: @@ -48,8 +49,7 @@ public HeightMapLayerData Generate(int width, int height, int seed) break; case MapType.NoiseWithFalloff: var falloffMap = Noise.GenerateFalloffMap(width, height, falloffA, falloffB); - noiseMap = Noise.GenerateNoiseMap(width, height, seed, offset, noiseScale, octaves, - persistence, lacunarity, falloffMap); + noiseMap = Noise.GenerateNoiseMap(width, height, seed, offset, frequency, octaves, persistence, lacunarity, falloffMap); break; default: throw new ArgumentOutOfRangeException(); @@ -66,11 +66,11 @@ public HeightMapLayerData Generate(int width, int height, int seed) { val = Mathf.RoundToInt(val * stepCount) / (float)stepCount; } - + heightMap[y * width + x] = val; } } - + return new HeightMapLayerData { heightMap = heightMap @@ -79,7 +79,7 @@ public HeightMapLayerData Generate(int width, int height, int seed) public override void AddToWorld(WorldMapData worldMapData) { - worldMapData.layers.Add(Generate(worldMapData.width,worldMapData.height,worldMapData.seed)); + worldMapData.layers.Add(Generate(worldMapData.width,worldMapData.height,(uint)worldMapData.seed)); } private void OnValidate() @@ -96,4 +96,3 @@ private void OnValidate() } } - diff --git a/Runtime/WorldMap/WorldMapData.cs b/Runtime/WorldMap/WorldMapData.cs index 2436978..a126b76 100644 --- a/Runtime/WorldMap/WorldMapData.cs +++ b/Runtime/WorldMap/WorldMapData.cs @@ -49,4 +49,4 @@ public object GetLayer(System.Type type) return null; } } -} \ No newline at end of file +} From 3872072f0fe78929075a21e6e3407dd76770228a Mon Sep 17 00:00:00 2001 From: Cory Leach Date: Sat, 25 Feb 2023 15:24:24 -0600 Subject: [PATCH 20/21] Update Demo-URP.unitypackage --- 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