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glitchy-engine-beef/Sandbox/src/VoxelFun/FastNoiseLite.bf
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// MIT License
//
// Copyright(c) 2020 Jordan Peck (jordan.me2@gmail.com)
// Copyright(c) 2020 Contributors
// Copyright(c) 2020 EinBurgbauer
//
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files(the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and / or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions :
//
// The above copyright notice and this permission notice shall be included in all
// copies or substantial portions of the Software.
//
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.
//
// .'',;:cldxkO00KKXXNNWWWNNXKOkxdollcc::::::;:::ccllloooolllllllllooollc:,'... ...........',;cldxkO000Okxdlc::;;;,,;;;::cclllllll
// ..',;:ldxO0KXXNNNNNNNNXXK0kxdolcc::::::;;;,,,,,,;;;;;;;;;;:::cclllllc:;'.... ...........',;:ldxO0KXXXK0Okxdolc::;;;;::cllodddddo
// ...',:loxO0KXNNNNNXXKK0Okxdolc::;::::::::;;;,,'''''.....''',;:clllllc:;,'............''''''''',;:loxO0KXNNNNNXK0Okxdollccccllodxxxxxxd
// ....';:ldkO0KXXXKK00Okxdolcc:;;;;;::cclllcc:;;,''..... ....',;clooddolcc:;;;;,,;;;;;::::;;;;;;:cloxk0KXNWWWWWWNXKK0Okxddoooddxxkkkkkxx
// .....';:ldxkOOOOOkxxdolcc:;;;,,,;;:cllooooolcc:;'... ..,:codxkkkxddooollloooooooollcc:::::clodkO0KXNWWWWWWNNXK00Okxxxxxxxxkkkkxxx
// . ....';:cloddddo___________,,,,;;:clooddddoolc:,... ..,:ldx__00OOOkkk___kkkkkkxxdollc::::cclodkO0KXXNNNNNNXXK0OOkxxxxxxxxxxxxddd
// .......',;:cccc:| |,,,;;:cclooddddoll:;'.. ..';cox| \KKK000| |KK00OOkxdocc___;::clldxxkO0KKKKK00Okkxdddddddddddddddoo
// .......'',,,,,''| ________|',,;;::cclloooooolc:;'......___:ldk| \KK000| |XKKK0Okxolc| |;;::cclodxxkkkkxxdoolllcclllooodddooooo
// ''......''''....| | ....'',,,,;;;::cclloooollc:;,''.'| |oxk| \OOO0| |KKK00Oxdoll|___|;;;;;::ccllllllcc::;;,,;;;:cclloooooooo
// ;;,''.......... | |_____',,;;;____:___cllo________.___| |___| \xkk| |KK_______ool___:::;________;;;_______...'',;;:ccclllloo
// c:;,''......... | |:::/ ' |lo/ | | \dx| |0/ \d| |cc/ |'/ \......',,;;:ccllo
// ol:;,'..........| _____|ll/ __ |o/ ______|____ ___| | \o| |/ ___ \| |o/ ______|/ ___ \ .......'',;:clo
// dlc;,...........| |::clooo| / | |x\___ \KXKKK0| |dol| |\ \| | | | | |d\___ \..| | / / ....',:cl
// xoc;'... .....'| |llodddd| \__| |_____\ \KKK0O| |lc:| |'\ | |___| | |_____\ \.| |_/___/... ...',;:c
// dlc;'... ....',;| |oddddddo\ | |Okkx| |::;| |..\ |\ /| | | \ |... ....',;:c
// ol:,'.......',:c|___|xxxddollc\_____,___|_________/ddoll|___|,,,|___|...\_____|:\ ______/l|___|_________/...\________|'........',;::cc
// c:;'.......';:codxxkkkkxxolc::;::clodxkOO0OOkkxdollc::;;,,''''',,,,''''''''''',,'''''',;:loxkkOOkxol:;,'''',,;:ccllcc:;,'''''',;::ccll
// ;,'.......',:codxkOO0OOkxdlc:;,,;;:cldxxkkxxdolc:;;,,''.....'',;;:::;;,,,'''''........,;cldkO0KK0Okdoc::;;::cloodddoolc:;;;;;::ccllooo
// .........',;:lodxOO0000Okdoc:,,',,;:clloddoolc:;,''.......'',;:clooollc:;;,,''.......',:ldkOKXNNXX0Oxdolllloddxxxxxxdolccccccllooodddd
// . .....';:cldxkO0000Okxol:;,''',,;::cccc:;,,'.......'',;:cldxxkkxxdolc:;;,'.......';coxOKXNWWWNXKOkxddddxxkkkkkkxdoollllooddxxxxkkk
// ....',;:codxkO000OOxdoc:;,''',,,;;;;,''.......',,;:clodkO00000Okxolc::;,,''..',;:ldxOKXNWWWNNK0OkkkkkkkkkkkxxddooooodxxkOOOOO000
// ....',;;clodxkkOOOkkdolc:;,,,,,,,,'..........,;:clodxkO0KKXKK0Okxdolcc::;;,,,;;:codkO0XXNNNNXKK0OOOOOkkkkxxdoollloodxkO0KKKXXXXX
//
// VERSION: 1.0.1
// https://github.com/Auburn/FastNoise
// https://github.com/EinBurgbauer/FastNoise_Beef
// ported at
// - https://github.com/Auburn/FastNoise/blob/0cedc661ac299ba002f92e20851035a1d78869c0/CSharp/FastNoiseLite.cs
// - https://github.com/Auburn/FastNoise/blob/0cedc661ac299ba002f92e20851035a1d78869c0/C/FastNoiseLite.h
using System;
namespace FastNoiseLite
{
// Define FNL_USE_DOUBLES to use doubles instead of floats for input position
#if FNL_USE_DOUBLES
typealias FNLfloat = double;
#else
typealias FNLfloat = float;
#endif
public class FastNoiseLite
{
public enum NoiseType
{
OpenSimplex2,
OpenSimplex2S,
Cellular,
Perlin,
ValueCubic,
Value
}
public enum RotationType3D
{
None,
ImproveXYPlanes,
ImproveXZPlanes
}
public enum FractalType
{
None,
FBm,
Ridged,
PingPong,
DomainWarpProgressive,
DomainWarpIndependent
}
public enum CellularDistanceFunction
{
Euclidean,
EuclideanSq,
Manhattan,
Hybrid
}
public enum CellularReturnType
{
CellValue,
Distance,
Distance2,
Distance2Add,
Distance2Sub,
Distance2Mul,
Distance2Div
}
public enum DomainWarpType
{
OpenSimplex2,
OpenSimplex2Reduced,
BasicGrid
}
private enum TransformType3D
{
None,
ImproveXYPlanes,
ImproveXZPlanes,
DefaultOpenSimplex2
}
private int32 mSeed = 1337;
private float mFrequency = 0.01f;
private NoiseType mNoiseType = NoiseType.OpenSimplex2;
private RotationType3D mRotationType3D = RotationType3D.None;
private TransformType3D mTransformType3D = TransformType3D.DefaultOpenSimplex2;
private FractalType mFractalType = FractalType.None;
private int32 mOctaves = 3;
private float mLacunarity = 2.0f;
private float mGain = 0.5f;
private float mWeightedStrength = 0.0f;
private float mPingPongStength = 2.0f;
private float mFractalBounding = 1 / 1.75f;
private CellularDistanceFunction mCellularDistanceFunction = CellularDistanceFunction.EuclideanSq;
private CellularReturnType mCellularReturnType = CellularReturnType.Distance;
private float mCellularJitterModifier = 1.0f;
private DomainWarpType mDomainWarpType = DomainWarpType.OpenSimplex2;
private TransformType3D mWarpTransformType3D = TransformType3D.DefaultOpenSimplex2;
private float mDomainWarpAmp = 1.0f;
/// Create new FastNoise object with optional seed
public this(int32 seed = 1337)
{
SetSeed(seed);
}
/// Sets seed used for all noise types.
/// Default: 1337
public void SetSeed(int32 seed) { mSeed = seed; }
/// Sets frequency for all noise types.
/// Default: 0.01
public void SetFrequency(float frequency) { mFrequency = frequency; }
/// Sets noise algorithm used for GetNoise(...).
/// Default: OpenSimplex2
public void SetNoiseType(NoiseType noiseType)
{
mNoiseType = noiseType;
UpdateTransformType3D();
}
/// Sets domain rotation type for 3D Noise and 3D DomainWarp.
/// Can aid in reducing directional artifacts when sampling a 2D plane in 3D.
/// Default: None
public void SetRotationType3D(RotationType3D rotationType3D)
{
mRotationType3D = rotationType3D;
UpdateTransformType3D();
UpdateWarpTransformType3D();
}
/// Sets method for combining octaves in all fractal noise types.
/// Default: None
/// Note: FractalType.DomainWarp... only affects DomainWarp(...)
public void SetFractalType(FractalType fractalType) { mFractalType = fractalType; }
/// Sets octave count for all fractal noise types.
/// Default: 3
public void SetFractalOctaves(int32 octaves)
{
mOctaves = octaves;
CalculateFractalBounding();
}
/// Sets octave lacunarity for all fractal noise types.
/// Default: 2.0
public void SetFractalLacunarity(float lacunarity) { mLacunarity = lacunarity; }
/// Sets octave gain for all fractal noise types.
/// Default: 0.5
public void SetFractalGain(float gain)
{
mGain = gain;
CalculateFractalBounding();
}
/// Sets octave weighting for all none DomainWarp fratal types.
/// Default: 0.0
/// Note: Keep between 0...1 to maintain -1...1 output bounding
public void SetFractalWeightedStrength(float weightedStrength) { mWeightedStrength = weightedStrength; }
/// Sets strength of the fractal ping pong effect.
/// Default: 2.0
public void SetFractalPingPongStrength(float pingPongStrength) { mPingPongStength = pingPongStrength; }
/// Sets distance function used in cellular noise calculations.
/// Default: Distance
public void SetCellularDistanceFunction(CellularDistanceFunction cellularDistanceFunction) { mCellularDistanceFunction = cellularDistanceFunction; }
/// Sets return type from cellular noise calculations.
/// Default: EuclideanSq
public void SetCellularReturnType(CellularReturnType cellularReturnType) { mCellularReturnType = cellularReturnType; }
/// Sets the maximum distance a cellular point can move from it's grid position.
/// Default: 1.0
/// Note: Setting this higher than 1 will cause artifacts
public void SetCellularJitter(float cellularJitter) { mCellularJitterModifier = cellularJitter; }
/// Sets the warp algorithm when using DomainWarp(...).
/// Default: OpenSimplex2
public void SetDomainWarpType(DomainWarpType domainWarpType)
{
mDomainWarpType = domainWarpType;
UpdateWarpTransformType3D();
}
/// Sets the maximum warp distance from original position when using DomainWarp(...).
/// Default: 1.0
public void SetDomainWarpAmp(float domainWarpAmp) { mDomainWarpAmp = domainWarpAmp; }
/// 2D noise at given position using current settings.
/// Noise output bounded between -1...1
[Optimize]
public float GetNoise(FNLfloat x, FNLfloat y)
{
var x, y;
TransformNoiseCoordinate(ref x, ref y);
switch (mFractalType)
{
case .FBm:
return GenFractalFBm(x, y);
case .Ridged:
return GenFractalRidged(x, y);
case .PingPong:
return GenFractalPingPong(x, y);
default:
return GenNoiseSingle(mSeed, x, y);
}
}
/// 3D noise at given position using current settings.
/// Noise output bounded between -1...1
[Optimize]
public float GetNoise(FNLfloat x, FNLfloat y, FNLfloat z)
{
var x, y, z;
TransformNoiseCoordinate(ref x, ref y, ref z);
switch (mFractalType)
{
case .FBm:
return GenFractalFBm(x, y, z);
case .Ridged:
return GenFractalRidged(x, y, z);
case .PingPong:
return GenFractalPingPong(x, y, z);
default:
return GenNoiseSingle(mSeed, x, y, z);
}
}
/// 2D warps the input position using current domain warp settings.
/// Example usage with GetNoise
/// "DomainWarp(ref x, ref y);
/// noise = GetNoise(x, y);"
[Optimize]
public void DomainWarp(ref FNLfloat x, ref FNLfloat y)
{
switch (mFractalType)
{
case .DomainWarpProgressive:
DomainWarpFractalProgressive(ref x, ref y);
case .DomainWarpIndependent:
DomainWarpFractalIndependent(ref x, ref y);
default:
DomainWarpSingle(ref x, ref y);
}
}
/// 3D warps the input position using current domain warp settings.
/// Example usage with GetNoise
/// "DomainWarp(ref x, ref y, ref z);
/// noise = GetNoise(x, y, z);"
[Optimize]
public void DomainWarp(ref FNLfloat x, ref FNLfloat y, ref FNLfloat z)
{
switch (mFractalType)
{
case .DomainWarpProgressive:
DomainWarpFractalProgressive(ref x, ref y, ref z);
case .DomainWarpIndependent:
DomainWarpFractalIndependent(ref x, ref y, ref z);
default:
DomainWarpSingle(ref x, ref y, ref z);
}
}
private static readonly float[256] Gradients2D = float[256]
(
0.130526192220052f, 0.99144486137381f, 0.38268343236509f, 0.923879532511287f, 0.608761429008721f, 0.793353340291235f, 0.793353340291235f, 0.608761429008721f,
0.923879532511287f, 0.38268343236509f, 0.99144486137381f, 0.130526192220051f, 0.99144486137381f, -0.130526192220051f, 0.923879532511287f, -0.38268343236509f,
0.793353340291235f, -0.60876142900872f, 0.608761429008721f, -0.793353340291235f, 0.38268343236509f, -0.923879532511287f, 0.130526192220052f, -0.99144486137381f,
-0.130526192220052f, -0.99144486137381f, -0.38268343236509f, -0.923879532511287f, -0.608761429008721f, -0.793353340291235f, -0.793353340291235f, -0.608761429008721f,
-0.923879532511287f, -0.38268343236509f, -0.99144486137381f, -0.130526192220052f, -0.99144486137381f, 0.130526192220051f, -0.923879532511287f, 0.38268343236509f,
-0.793353340291235f, 0.608761429008721f, -0.608761429008721f, 0.793353340291235f, -0.38268343236509f, 0.923879532511287f, -0.130526192220052f, 0.99144486137381f,
0.130526192220052f, 0.99144486137381f, 0.38268343236509f, 0.923879532511287f, 0.608761429008721f, 0.793353340291235f, 0.793353340291235f, 0.608761429008721f,
0.923879532511287f, 0.38268343236509f, 0.99144486137381f, 0.130526192220051f, 0.99144486137381f, -0.130526192220051f, 0.923879532511287f, -0.38268343236509f,
0.793353340291235f, -0.60876142900872f, 0.608761429008721f, -0.793353340291235f, 0.38268343236509f, -0.923879532511287f, 0.130526192220052f, -0.99144486137381f,
-0.130526192220052f, -0.99144486137381f, -0.38268343236509f, -0.923879532511287f, -0.608761429008721f, -0.793353340291235f, -0.793353340291235f, -0.608761429008721f,
-0.923879532511287f, -0.38268343236509f, -0.99144486137381f, -0.130526192220052f, -0.99144486137381f, 0.130526192220051f, -0.923879532511287f, 0.38268343236509f,
-0.793353340291235f, 0.608761429008721f, -0.608761429008721f, 0.793353340291235f, -0.38268343236509f, 0.923879532511287f, -0.130526192220052f, 0.99144486137381f,
0.130526192220052f, 0.99144486137381f, 0.38268343236509f, 0.923879532511287f, 0.608761429008721f, 0.793353340291235f, 0.793353340291235f, 0.608761429008721f,
0.923879532511287f, 0.38268343236509f, 0.99144486137381f, 0.130526192220051f, 0.99144486137381f, -0.130526192220051f, 0.923879532511287f, -0.38268343236509f,
0.793353340291235f, -0.60876142900872f, 0.608761429008721f, -0.793353340291235f, 0.38268343236509f, -0.923879532511287f, 0.130526192220052f, -0.99144486137381f,
-0.130526192220052f, -0.99144486137381f, -0.38268343236509f, -0.923879532511287f, -0.608761429008721f, -0.793353340291235f, -0.793353340291235f, -0.608761429008721f,
-0.923879532511287f, -0.38268343236509f, -0.99144486137381f, -0.130526192220052f, -0.99144486137381f, 0.130526192220051f, -0.923879532511287f, 0.38268343236509f,
-0.793353340291235f, 0.608761429008721f, -0.608761429008721f, 0.793353340291235f, -0.38268343236509f, 0.923879532511287f, -0.130526192220052f, 0.99144486137381f,
0.130526192220052f, 0.99144486137381f, 0.38268343236509f, 0.923879532511287f, 0.608761429008721f, 0.793353340291235f, 0.793353340291235f, 0.608761429008721f,
0.923879532511287f, 0.38268343236509f, 0.99144486137381f, 0.130526192220051f, 0.99144486137381f, -0.130526192220051f, 0.923879532511287f, -0.38268343236509f,
0.793353340291235f, -0.60876142900872f, 0.608761429008721f, -0.793353340291235f, 0.38268343236509f, -0.923879532511287f, 0.130526192220052f, -0.99144486137381f,
-0.130526192220052f, -0.99144486137381f, -0.38268343236509f, -0.923879532511287f, -0.608761429008721f, -0.793353340291235f, -0.793353340291235f, -0.608761429008721f,
-0.923879532511287f, -0.38268343236509f, -0.99144486137381f, -0.130526192220052f, -0.99144486137381f, 0.130526192220051f, -0.923879532511287f, 0.38268343236509f,
-0.793353340291235f, 0.608761429008721f, -0.608761429008721f, 0.793353340291235f, -0.38268343236509f, 0.923879532511287f, -0.130526192220052f, 0.99144486137381f,
0.130526192220052f, 0.99144486137381f, 0.38268343236509f, 0.923879532511287f, 0.608761429008721f, 0.793353340291235f, 0.793353340291235f, 0.608761429008721f,
0.923879532511287f, 0.38268343236509f, 0.99144486137381f, 0.130526192220051f, 0.99144486137381f, -0.130526192220051f, 0.923879532511287f, -0.38268343236509f,
0.793353340291235f, -0.60876142900872f, 0.608761429008721f, -0.793353340291235f, 0.38268343236509f, -0.923879532511287f, 0.130526192220052f, -0.99144486137381f,
-0.130526192220052f, -0.99144486137381f, -0.38268343236509f, -0.923879532511287f, -0.608761429008721f, -0.793353340291235f, -0.793353340291235f, -0.608761429008721f,
-0.923879532511287f, -0.38268343236509f, -0.99144486137381f, -0.130526192220052f, -0.99144486137381f, 0.130526192220051f, -0.923879532511287f, 0.38268343236509f,
-0.793353340291235f, 0.608761429008721f, -0.608761429008721f, 0.793353340291235f, -0.38268343236509f, 0.923879532511287f, -0.130526192220052f, 0.99144486137381f,
0.38268343236509f, 0.923879532511287f, 0.923879532511287f, 0.38268343236509f, 0.923879532511287f, -0.38268343236509f, 0.38268343236509f, -0.923879532511287f,
-0.38268343236509f, -0.923879532511287f, -0.923879532511287f, -0.38268343236509f, -0.923879532511287f, 0.38268343236509f, -0.38268343236509f, 0.923879532511287f,
);
private static readonly float[512] RandVecs2D = float[512]
(
-0.2700222198f, -0.9628540911f, 0.3863092627f, -0.9223693152f, 0.04444859006f, -0.999011673f, -0.5992523158f, -0.8005602176f, -0.7819280288f, 0.6233687174f, 0.9464672271f, 0.3227999196f, -0.6514146797f, -0.7587218957f, 0.9378472289f, 0.347048376f,
-0.8497875957f, -0.5271252623f, -0.879042592f, 0.4767432447f, -0.892300288f, -0.4514423508f, -0.379844434f, -0.9250503802f, -0.9951650832f, 0.0982163789f, 0.7724397808f, -0.6350880136f, 0.7573283322f, -0.6530343002f, -0.9928004525f, -0.119780055f,
-0.0532665713f, 0.9985803285f, 0.9754253726f, -0.2203300762f, -0.7665018163f, 0.6422421394f, 0.991636706f, 0.1290606184f, -0.994696838f, 0.1028503788f, -0.5379205513f, -0.84299554f, 0.5022815471f, -0.8647041387f, 0.4559821461f, -0.8899889226f,
-0.8659131224f, -0.5001944266f, 0.0879458407f, -0.9961252577f, -0.5051684983f, 0.8630207346f, 0.7753185226f, -0.6315704146f, -0.6921944612f, 0.7217110418f, -0.5191659449f, -0.8546734591f, 0.8978622882f, -0.4402764035f, -0.1706774107f, 0.9853269617f,
-0.9353430106f, -0.3537420705f, -0.9992404798f, 0.03896746794f, -0.2882064021f, -0.9575683108f, -0.9663811329f, 0.2571137995f, -0.8759714238f, -0.4823630009f, -0.8303123018f, -0.5572983775f, 0.05110133755f, -0.9986934731f, -0.8558373281f, -0.5172450752f,
0.09887025282f, 0.9951003332f, 0.9189016087f, 0.3944867976f, -0.2439375892f, -0.9697909324f, -0.8121409387f, -0.5834613061f, -0.9910431363f, 0.1335421355f, 0.8492423985f, -0.5280031709f, -0.9717838994f, -0.2358729591f, 0.9949457207f, 0.1004142068f,
0.6241065508f, -0.7813392434f, 0.662910307f, 0.7486988212f, -0.7197418176f, 0.6942418282f, -0.8143370775f, -0.5803922158f, 0.104521054f, -0.9945226741f, -0.1065926113f, -0.9943027784f, 0.445799684f, -0.8951327509f, 0.105547406f, 0.9944142724f,
-0.992790267f, 0.1198644477f, -0.8334366408f, 0.552615025f, 0.9115561563f, -0.4111755999f, 0.8285544909f, -0.5599084351f, 0.7217097654f, -0.6921957921f, 0.4940492677f, -0.8694339084f, -0.3652321272f, -0.9309164803f, -0.9696606758f, 0.2444548501f,
0.08925509731f, -0.996008799f, 0.5354071276f, -0.8445941083f, -0.1053576186f, 0.9944343981f, -0.9890284586f, 0.1477251101f, 0.004856104961f, 0.9999882091f, 0.9885598478f, 0.1508291331f, 0.9286129562f, -0.3710498316f, -0.5832393863f, -0.8123003252f,
0.3015207509f, 0.9534596146f, -0.9575110528f, 0.2883965738f, 0.9715802154f, -0.2367105511f, 0.229981792f, 0.9731949318f, 0.955763816f, -0.2941352207f, 0.740956116f, 0.6715534485f, -0.9971513787f, -0.07542630764f, 0.6905710663f, -0.7232645452f,
-0.290713703f, -0.9568100872f, 0.5912777791f, -0.8064679708f, -0.9454592212f, -0.325740481f, 0.6664455681f, 0.74555369f, 0.6236134912f, 0.7817328275f, 0.9126993851f, -0.4086316587f, -0.8191762011f, 0.5735419353f, -0.8812745759f, -0.4726046147f,
0.9953313627f, 0.09651672651f, 0.9855650846f, -0.1692969699f, -0.8495980887f, 0.5274306472f, 0.6174853946f, -0.7865823463f, 0.8508156371f, 0.52546432f, 0.9985032451f, -0.05469249926f, 0.1971371563f, -0.9803759185f, 0.6607855748f, -0.7505747292f,
-0.03097494063f, 0.9995201614f, -0.6731660801f, 0.739491331f, -0.7195018362f, -0.6944905383f, 0.9727511689f, 0.2318515979f, 0.9997059088f, -0.0242506907f, 0.4421787429f, -0.8969269532f, 0.9981350961f, -0.061043673f, -0.9173660799f, -0.3980445648f,
-0.8150056635f, -0.5794529907f, -0.8789331304f, 0.4769450202f, 0.0158605829f, 0.999874213f, -0.8095464474f, 0.5870558317f, -0.9165898907f, -0.3998286786f, -0.8023542565f, 0.5968480938f, -0.5176737917f, 0.8555780767f, -0.8154407307f, -0.5788405779f,
0.4022010347f, -0.9155513791f, -0.9052556868f, -0.4248672045f, 0.7317445619f, 0.6815789728f, -0.5647632201f, -0.8252529947f, -0.8403276335f, -0.5420788397f, -0.9314281527f, 0.363925262f, 0.5238198472f, 0.8518290719f, 0.7432803869f, -0.6689800195f,
-0.985371561f, -0.1704197369f, 0.4601468731f, 0.88784281f, 0.825855404f, 0.5638819483f, 0.6182366099f, 0.7859920446f, 0.8331502863f, -0.553046653f, 0.1500307506f, 0.9886813308f, -0.662330369f, -0.7492119075f, -0.668598664f, 0.743623444f,
0.7025606278f, 0.7116238924f, -0.5419389763f, -0.8404178401f, -0.3388616456f, 0.9408362159f, 0.8331530315f, 0.5530425174f, -0.2989720662f, -0.9542618632f, 0.2638522993f, 0.9645630949f, 0.124108739f, -0.9922686234f, -0.7282649308f, -0.6852956957f,
0.6962500149f, 0.7177993569f, -0.9183535368f, 0.3957610156f, -0.6326102274f, -0.7744703352f, -0.9331891859f, -0.359385508f, -0.1153779357f, -0.9933216659f, 0.9514974788f, -0.3076565421f, -0.08987977445f, -0.9959526224f, 0.6678496916f, 0.7442961705f,
0.7952400393f, -0.6062947138f, -0.6462007402f, -0.7631674805f, -0.2733598753f, 0.9619118351f, 0.9669590226f, -0.254931851f, -0.9792894595f, 0.2024651934f, -0.5369502995f, -0.8436138784f, -0.270036471f, -0.9628500944f, -0.6400277131f, 0.7683518247f,
-0.7854537493f, -0.6189203566f, 0.06005905383f, -0.9981948257f, -0.02455770378f, 0.9996984141f, -0.65983623f, 0.751409442f, -0.6253894466f, -0.7803127835f, -0.6210408851f, -0.7837781695f, 0.8348888491f, 0.5504185768f, -0.1592275245f, 0.9872419133f,
0.8367622488f, 0.5475663786f, -0.8675753916f, -0.4973056806f, -0.2022662628f, -0.9793305667f, 0.9399189937f, 0.3413975472f, 0.9877404807f, -0.1561049093f, -0.9034455656f, 0.4287028224f, 0.1269804218f, -0.9919052235f, -0.3819600854f, 0.924178821f,
0.9754625894f, 0.2201652486f, -0.3204015856f, -0.9472818081f, -0.9874760884f, 0.1577687387f, 0.02535348474f, -0.9996785487f, 0.4835130794f, -0.8753371362f, -0.2850799925f, -0.9585037287f, -0.06805516006f, -0.99768156f, -0.7885244045f, -0.6150034663f,
0.3185392127f, -0.9479096845f, 0.8880043089f, 0.4598351306f, 0.6476921488f, -0.7619021462f, 0.9820241299f, 0.1887554194f, 0.9357275128f, -0.3527237187f, -0.8894895414f, 0.4569555293f, 0.7922791302f, 0.6101588153f, 0.7483818261f, 0.6632681526f,
-0.7288929755f, -0.6846276581f, 0.8729032783f, -0.4878932944f, 0.8288345784f, 0.5594937369f, 0.08074567077f, 0.9967347374f, 0.9799148216f, -0.1994165048f, -0.580730673f, -0.8140957471f, -0.4700049791f, -0.8826637636f, 0.2409492979f, 0.9705377045f,
0.9437816757f, -0.3305694308f, -0.8927998638f, -0.4504535528f, -0.8069622304f, 0.5906030467f, 0.06258973166f, 0.9980393407f, -0.9312597469f, 0.3643559849f, 0.5777449785f, 0.8162173362f, -0.3360095855f, -0.941858566f, 0.697932075f, -0.7161639607f,
-0.002008157227f, -0.9999979837f, -0.1827294312f, -0.9831632392f, -0.6523911722f, 0.7578824173f, -0.4302626911f, -0.9027037258f, -0.9985126289f, -0.05452091251f, -0.01028102172f, -0.9999471489f, -0.4946071129f, 0.8691166802f, -0.2999350194f, 0.9539596344f,
0.8165471961f, 0.5772786819f, 0.2697460475f, 0.962931498f, -0.7306287391f, -0.6827749597f, -0.7590952064f, -0.6509796216f, -0.907053853f, 0.4210146171f, -0.5104861064f, -0.8598860013f, 0.8613350597f, 0.5080373165f, 0.5007881595f, -0.8655698812f,
-0.654158152f, 0.7563577938f, -0.8382755311f, -0.545246856f, 0.6940070834f, 0.7199681717f, 0.06950936031f, 0.9975812994f, 0.1702942185f, -0.9853932612f, 0.2695973274f, 0.9629731466f, 0.5519612192f, -0.8338697815f, 0.225657487f, -0.9742067022f,
0.4215262855f, -0.9068161835f, 0.4881873305f, -0.8727388672f, -0.3683854996f, -0.9296731273f, -0.9825390578f, 0.1860564427f, 0.81256471f, 0.5828709909f, 0.3196460933f, -0.9475370046f, 0.9570913859f, 0.2897862643f, -0.6876655497f, -0.7260276109f,
-0.9988770922f, -0.047376731f, -0.1250179027f, 0.992154486f, -0.8280133617f, 0.560708367f, 0.9324863769f, -0.3612051451f, 0.6394653183f, 0.7688199442f, -0.01623847064f, -0.9998681473f, -0.9955014666f, -0.09474613458f, -0.81453315f, 0.580117012f,
0.4037327978f, -0.9148769469f, 0.9944263371f, 0.1054336766f, -0.1624711654f, 0.9867132919f, -0.9949487814f, -0.100383875f, -0.6995302564f, 0.7146029809f, 0.5263414922f, -0.85027327f, -0.5395221479f, 0.841971408f, 0.6579370318f, 0.7530729462f,
0.01426758847f, -0.9998982128f, -0.6734383991f, 0.7392433447f, 0.639412098f, -0.7688642071f, 0.9211571421f, 0.3891908523f, -0.146637214f, -0.9891903394f, -0.782318098f, 0.6228791163f, -0.5039610839f, -0.8637263605f, -0.7743120191f, -0.6328039957f,
);
private static readonly float[256] Gradients3D = float[256]
(
0, 1, 1, 0, 0,-1, 1, 0, 0, 1,-1, 0, 0,-1,-1, 0,
1, 0, 1, 0, -1, 0, 1, 0, 1, 0,-1, 0, -1, 0,-1, 0,
1, 1, 0, 0, -1, 1, 0, 0, 1,-1, 0, 0, -1,-1, 0, 0,
0, 1, 1, 0, 0,-1, 1, 0, 0, 1,-1, 0, 0,-1,-1, 0,
1, 0, 1, 0, -1, 0, 1, 0, 1, 0,-1, 0, -1, 0,-1, 0,
1, 1, 0, 0, -1, 1, 0, 0, 1,-1, 0, 0, -1,-1, 0, 0,
0, 1, 1, 0, 0,-1, 1, 0, 0, 1,-1, 0, 0,-1,-1, 0,
1, 0, 1, 0, -1, 0, 1, 0, 1, 0,-1, 0, -1, 0,-1, 0,
1, 1, 0, 0, -1, 1, 0, 0, 1,-1, 0, 0, -1,-1, 0, 0,
0, 1, 1, 0, 0,-1, 1, 0, 0, 1,-1, 0, 0,-1,-1, 0,
1, 0, 1, 0, -1, 0, 1, 0, 1, 0,-1, 0, -1, 0,-1, 0,
1, 1, 0, 0, -1, 1, 0, 0, 1,-1, 0, 0, -1,-1, 0, 0,
0, 1, 1, 0, 0,-1, 1, 0, 0, 1,-1, 0, 0,-1,-1, 0,
1, 0, 1, 0, -1, 0, 1, 0, 1, 0,-1, 0, -1, 0,-1, 0,
1, 1, 0, 0, -1, 1, 0, 0, 1,-1, 0, 0, -1,-1, 0, 0,
1, 1, 0, 0, 0,-1, 1, 0, -1, 1, 0, 0, 0,-1,-1, 0,
);
private static readonly float[1024] RandVecs3D = float[1024]
(
-0.7292736885f, -0.6618439697f, 0.1735581948f, 0, 0.790292081f, -0.5480887466f, -0.2739291014f, 0, 0.7217578935f, 0.6226212466f, -0.3023380997f, 0, 0.565683137f, -0.8208298145f, -0.0790000257f, 0, 0.760049034f, -0.5555979497f, -0.3370999617f, 0, 0.3713945616f, 0.5011264475f, 0.7816254623f, 0, -0.1277062463f, -0.4254438999f, -0.8959289049f, 0, -0.2881560924f, -0.5815838982f, 0.7607405838f, 0,
0.5849561111f, -0.662820239f, -0.4674352136f, 0, 0.3307171178f, 0.0391653737f, 0.94291689f, 0, 0.8712121778f, -0.4113374369f, -0.2679381538f, 0, 0.580981015f, 0.7021915846f, 0.4115677815f, 0, 0.503756873f, 0.6330056931f, -0.5878203852f, 0, 0.4493712205f, 0.601390195f, 0.6606022552f, 0, -0.6878403724f, 0.09018890807f, -0.7202371714f, 0, -0.5958956522f, -0.6469350577f, 0.475797649f, 0,
-0.5127052122f, 0.1946921978f, -0.8361987284f, 0, -0.9911507142f, -0.05410276466f, -0.1212153153f, 0, -0.2149721042f, 0.9720882117f, -0.09397607749f, 0, -0.7518650936f, -0.5428057603f, 0.3742469607f, 0, 0.5237068895f, 0.8516377189f, -0.02107817834f, 0, 0.6333504779f, 0.1926167129f, -0.7495104896f, 0, -0.06788241606f, 0.3998305789f, 0.9140719259f, 0, -0.5538628599f, -0.4729896695f, -0.6852128902f, 0,
-0.7261455366f, -0.5911990757f, 0.3509933228f, 0, -0.9229274737f, -0.1782808786f, 0.3412049336f, 0, -0.6968815002f, 0.6511274338f, 0.3006480328f, 0, 0.9608044783f, -0.2098363234f, -0.1811724921f, 0, 0.06817146062f, -0.9743405129f, 0.2145069156f, 0, -0.3577285196f, -0.6697087264f, -0.6507845481f, 0, -0.1868621131f, 0.7648617052f, -0.6164974636f, 0, -0.6541697588f, 0.3967914832f, 0.6439087246f, 0,
0.6993340405f, -0.6164538506f, 0.3618239211f, 0, -0.1546665739f, 0.6291283928f, 0.7617583057f, 0, -0.6841612949f, -0.2580482182f, -0.6821542638f, 0, 0.5383980957f, 0.4258654885f, 0.7271630328f, 0, -0.5026987823f, -0.7939832935f, -0.3418836993f, 0, 0.3202971715f, 0.2834415347f, 0.9039195862f, 0, 0.8683227101f, -0.0003762656404f, -0.4959995258f, 0, 0.791120031f, -0.08511045745f, 0.6057105799f, 0,
-0.04011016052f, -0.4397248749f, 0.8972364289f, 0, 0.9145119872f, 0.3579346169f, -0.1885487608f, 0, -0.9612039066f, -0.2756484276f, 0.01024666929f, 0, 0.6510361721f, -0.2877799159f, -0.7023778346f, 0, -0.2041786351f, 0.7365237271f, 0.644859585f, 0, -0.7718263711f, 0.3790626912f, 0.5104855816f, 0, -0.3060082741f, -0.7692987727f, 0.5608371729f, 0, 0.454007341f, -0.5024843065f, 0.7357899537f, 0,
0.4816795475f, 0.6021208291f, -0.6367380315f, 0, 0.6961980369f, -0.3222197429f, 0.641469197f, 0, -0.6532160499f, -0.6781148932f, 0.3368515753f, 0, 0.5089301236f, -0.6154662304f, -0.6018234363f, 0, -0.1635919754f, -0.9133604627f, -0.372840892f, 0, 0.52408019f, -0.8437664109f, 0.1157505864f, 0, 0.5902587356f, 0.4983817807f, -0.6349883666f, 0, 0.5863227872f, 0.494764745f, 0.6414307729f, 0,
0.6779335087f, 0.2341345225f, 0.6968408593f, 0, 0.7177054546f, -0.6858979348f, 0.120178631f, 0, -0.5328819713f, -0.5205125012f, 0.6671608058f, 0, -0.8654874251f, -0.0700727088f, -0.4960053754f, 0, -0.2861810166f, 0.7952089234f, 0.5345495242f, 0, -0.04849529634f, 0.9810836427f, -0.1874115585f, 0, -0.6358521667f, 0.6058348682f, 0.4781800233f, 0, 0.6254794696f, -0.2861619734f, 0.7258696564f, 0,
-0.2585259868f, 0.5061949264f, -0.8227581726f, 0, 0.02136306781f, 0.5064016808f, -0.8620330371f, 0, 0.200111773f, 0.8599263484f, 0.4695550591f, 0, 0.4743561372f, 0.6014985084f, -0.6427953014f, 0, 0.6622993731f, -0.5202474575f, -0.5391679918f, 0, 0.08084972818f, -0.6532720452f, 0.7527940996f, 0, -0.6893687501f, 0.0592860349f, 0.7219805347f, 0, -0.1121887082f, -0.9673185067f, 0.2273952515f, 0,
0.7344116094f, 0.5979668656f, -0.3210532909f, 0, 0.5789393465f, -0.2488849713f, 0.7764570201f, 0, 0.6988182827f, 0.3557169806f, -0.6205791146f, 0, -0.8636845529f, -0.2748771249f, -0.4224826141f, 0, -0.4247027957f, -0.4640880967f, 0.777335046f, 0, 0.5257722489f, -0.8427017621f, 0.1158329937f, 0, 0.9343830603f, 0.316302472f, -0.1639543925f, 0, -0.1016836419f, -0.8057303073f, -0.5834887393f, 0,
-0.6529238969f, 0.50602126f, -0.5635892736f, 0, -0.2465286165f, -0.9668205684f, -0.06694497494f, 0, -0.9776897119f, -0.2099250524f, -0.007368825344f, 0, 0.7736893337f, 0.5734244712f, 0.2694238123f, 0, -0.6095087895f, 0.4995678998f, 0.6155736747f, 0, 0.5794535482f, 0.7434546771f, 0.3339292269f, 0, -0.8226211154f, 0.08142581855f, 0.5627293636f, 0, -0.510385483f, 0.4703667658f, 0.7199039967f, 0,
-0.5764971849f, -0.07231656274f, -0.8138926898f, 0, 0.7250628871f, 0.3949971505f, -0.5641463116f, 0, -0.1525424005f, 0.4860840828f, -0.8604958341f, 0, -0.5550976208f, -0.4957820792f, 0.667882296f, 0, -0.1883614327f, 0.9145869398f, 0.357841725f, 0, 0.7625556724f, -0.5414408243f, -0.3540489801f, 0, -0.5870231946f, -0.3226498013f, -0.7424963803f, 0, 0.3051124198f, 0.2262544068f, -0.9250488391f, 0,
0.6379576059f, 0.577242424f, -0.5097070502f, 0, -0.5966775796f, 0.1454852398f, -0.7891830656f, 0, -0.658330573f, 0.6555487542f, -0.3699414651f, 0, 0.7434892426f, 0.2351084581f, 0.6260573129f, 0, 0.5562114096f, 0.8264360377f, -0.0873632843f, 0, -0.3028940016f, -0.8251527185f, 0.4768419182f, 0, 0.1129343818f, -0.985888439f, -0.1235710781f, 0, 0.5937652891f, -0.5896813806f, 0.5474656618f, 0,
0.6757964092f, -0.5835758614f, -0.4502648413f, 0, 0.7242302609f, -0.1152719764f, 0.6798550586f, 0, -0.9511914166f, 0.0753623979f, -0.2992580792f, 0, 0.2539470961f, -0.1886339355f, 0.9486454084f, 0, 0.571433621f, -0.1679450851f, -0.8032795685f, 0, -0.06778234979f, 0.3978269256f, 0.9149531629f, 0, 0.6074972649f, 0.733060024f, -0.3058922593f, 0, -0.5435478392f, 0.1675822484f, 0.8224791405f, 0,
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0.081921007f, -0.7207336136f, -0.6883545647f, 0, -0.6993680906f, -0.5875763221f, -0.4069869034f, 0, -0.1281454481f, 0.6419895885f, 0.7559286424f, 0, -0.6337388239f, -0.6785471501f, -0.3714146849f, 0, 0.5565051903f, -0.2168887573f, -0.8020356851f, 0, -0.5791554484f, 0.7244372011f, -0.3738578718f, 0, 0.1175779076f, -0.7096451073f, 0.6946792478f, 0, -0.6134619607f, 0.1323631078f, 0.7785527795f, 0,
0.6984635305f, -0.02980516237f, -0.715024719f, 0, 0.8318082963f, -0.3930171956f, 0.3919597455f, 0, 0.1469576422f, 0.05541651717f, -0.9875892167f, 0, 0.708868575f, -0.2690503865f, 0.6520101478f, 0, 0.2726053183f, 0.67369766f, -0.68688995f, 0, -0.6591295371f, 0.3035458599f, -0.6880466294f, 0, 0.4815131379f, -0.7528270071f, 0.4487723203f, 0, 0.9430009463f, 0.1675647412f, -0.2875261255f, 0,
0.434802957f, 0.7695304522f, -0.4677277752f, 0, 0.3931996188f, 0.594473625f, 0.7014236729f, 0, 0.7254336655f, -0.603925654f, 0.3301814672f, 0, 0.7590235227f, -0.6506083235f, 0.02433313207f, 0, -0.8552768592f, -0.3430042733f, 0.3883935666f, 0, -0.6139746835f, 0.6981725247f, 0.3682257648f, 0, -0.7465905486f, -0.5752009504f, 0.3342849376f, 0, 0.5730065677f, 0.810555537f, -0.1210916791f, 0,
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);
[Inline]
private static float FastMin(float a, float b) { return a < b ? a : b; }
[Inline]
private static float FastMax(float a, float b) { return a > b ? a : b; }
[Inline]
private static float FastAbs(float f) { return f < 0 ? -f : f; }
[Inline]
private static float FastSqrt(float f) { return (float)Math.Sqrt(f); }
[Inline]
private static int32 FastFloor(FNLfloat f) { return f >= 0 ? (int32)f : (int32)f - 1; }
[Inline]
private static int32 FastRound(FNLfloat f) { return f >= 0 ? (int32)(f + 0.5f) : (int32)(f - 0.5f); }
[Inline]
private static float Lerp(float a, float b, float t) { return a + t * (b - a); }
[Inline]
private static float InterpHermite(float t) { return t * t * (3 - 2 * t); }
[Inline]
private static float InterpQuintic(float t) { return t * t * t * (t * (t * 6 - 15) + 10); }
[Inline]
private static float CubicLerp(float a, float b, float c, float d, float t)
{
float p = (d - c) - (a - b);
return t * t * t * p + t * t * ((a - b) - p) + t * (c - a) + b;
}
[Inline]
private static float PingPong(float t)
{
var t;
t -= (int32)(t * 0.5f) * 2;
return t < 1 ? t : 2 - t;
}
private void CalculateFractalBounding()
{
float gain = FastAbs(mGain);
float amp = gain;
float ampFractal = 1.0f;
for (int32 i = 1; i < mOctaves; i++)
{
ampFractal += amp;
amp *= gain;
}
mFractalBounding = 1 / ampFractal;
}
// Hashing
private const int32 PrimeX = 501125321;
private const int32 PrimeY = 1136930381;
private const int32 PrimeZ = 1720413743;
[Inline]
private static int32 Hash(int32 seed, int32 xPrimed, int32 yPrimed)
{
int32 hash = seed ^ xPrimed ^ yPrimed;
hash *= 0x27d4eb2d;
return hash;
}
[Inline]
private static int32 Hash(int32 seed, int32 xPrimed, int32 yPrimed, int32 zPrimed)
{
int32 hash = seed ^ xPrimed ^ yPrimed ^ zPrimed;
hash *= 0x27d4eb2d;
return hash;
}
[Inline]
private static float ValCoord(int32 seed, int32 xPrimed, int32 yPrimed)
{
int32 hash = Hash(seed, xPrimed, yPrimed);
hash *= hash;
hash ^= hash << 19;
return hash * (1 / 2147483648.0f);
}
[Inline]
private static float ValCoord(int32 seed, int32 xPrimed, int32 yPrimed, int32 zPrimed)
{
int32 hash = Hash(seed, xPrimed, yPrimed, zPrimed);
hash *= hash;
hash ^= hash << 19;
return hash * (1 / 2147483648.0f);
}
[Inline]
private static float GradCoord(int32 seed, int32 xPrimed, int32 yPrimed, float xd, float yd)
{
int32 hash = Hash(seed, xPrimed, yPrimed);
hash ^= hash >> 15;
hash &= 127 << 1;
float xg = Gradients2D[hash];
float yg = Gradients2D[hash | 1];
return xd * xg + yd * yg;
}
[Inline]
private static float GradCoord(int32 seed, int32 xPrimed, int32 yPrimed, int32 zPrimed, float xd, float yd, float zd)
{
int32 hash = Hash(seed, xPrimed, yPrimed, zPrimed);
hash ^= hash >> 15;
hash &= 63 << 2;
float xg = Gradients3D[hash];
float yg = Gradients3D[hash | 1];
float zg = Gradients3D[hash | 2];
return xd * xg + yd * yg + zd * zg;
}
[Inline]
private static void GradCoordOut(int32 seed, int32 xPrimed, int32 yPrimed, out float xo, out float yo)
{
int32 hash = Hash(seed, xPrimed, yPrimed) & (255 << 1);
xo = RandVecs2D[hash];
yo = RandVecs2D[hash | 1];
}
[Inline]
private static void GradCoordOut(int32 seed, int32 xPrimed, int32 yPrimed, int32 zPrimed, out float xo, out float yo, out float zo)
{
int32 hash = Hash(seed, xPrimed, yPrimed, zPrimed) & (255 << 2);
xo = RandVecs3D[hash];
yo = RandVecs3D[hash | 1];
zo = RandVecs3D[hash | 2];
}
[Inline]
private static void GradCoordDual(int32 seed, int32 xPrimed, int32 yPrimed, float xd, float yd, out float xo, out float yo)
{
int32 hash = Hash(seed, xPrimed, yPrimed);
int32 index1 = hash & (127 << 1);
int32 index2 = (hash >> 7) & (255 << 1);
float xg = Gradients2D[index1];
float yg = Gradients2D[index1 | 1];
float value = xd * xg + yd * yg;
float xgo = RandVecs2D[index2];
float ygo = RandVecs2D[index2 | 1];
xo = value * xgo;
yo = value * ygo;
}
[Inline]
private static void GradCoordDual(int32 seed, int32 xPrimed, int32 yPrimed, int32 zPrimed, float xd, float yd, float zd, out float xo, out float yo, out float zo)
{
int32 hash = Hash(seed, xPrimed, yPrimed, zPrimed);
int32 index1 = hash & (63 << 2);
int32 index2 = (hash >> 6) & (255 << 2);
float xg = Gradients3D[index1];
float yg = Gradients3D[index1 | 1];
float zg = Gradients3D[index1 | 2];
float value = xd * xg + yd * yg + zd * zg;
float xgo = RandVecs3D[index2];
float ygo = RandVecs3D[index2 | 1];
float zgo = RandVecs3D[index2 | 2];
xo = value * xgo;
yo = value * ygo;
zo = value * zgo;
}
// Generic noise gen
private float GenNoiseSingle(int32 seed, FNLfloat x, FNLfloat y)
{
switch (mNoiseType)
{
case .OpenSimplex2:
return SingleSimplex(seed, x, y);
case .OpenSimplex2S:
return SingleOpenSimplex2S(seed, x, y);
case .Cellular:
return SingleCellular(seed, x, y);
case .Perlin:
return SinglePerlin(seed, x, y);
case .ValueCubic:
return SingleValueCubic(seed, x, y);
case .Value:
return SingleValue(seed, x, y);
default:
return 0;
}
}
private float GenNoiseSingle(int32 seed, FNLfloat x, FNLfloat y, FNLfloat z)
{
switch (mNoiseType)
{
case .OpenSimplex2:
return SingleOpenSimplex2(seed, x, y, z);
case .OpenSimplex2S:
return SingleOpenSimplex2S(seed, x, y, z);
case .Cellular:
return SingleCellular(seed, x, y, z);
case .Perlin:
return SinglePerlin(seed, x, y, z);
case .ValueCubic:
return SingleValueCubic(seed, x, y, z);
case .Value:
return SingleValue(seed, x, y, z);
default:
return 0;
}
}
// Noise Coordinate Transforms (frequency, and possible skew or rotation)
[Inline]
private void TransformNoiseCoordinate(ref FNLfloat x, ref FNLfloat y)
{
x *= mFrequency;
y *= mFrequency;
switch (mNoiseType)
{
case .OpenSimplex2, .OpenSimplex2S:
{
const FNLfloat SQRT3 = (FNLfloat)1.7320508075688772935274463415059;
const FNLfloat F2 = 0.5f * (SQRT3 - 1);
FNLfloat t = (x + y) * F2;
x += t;
y += t;
}
default:
}
}
[Inline]
private void TransformNoiseCoordinate(ref FNLfloat x, ref FNLfloat y, ref FNLfloat z)
{
x *= mFrequency;
y *= mFrequency;
z *= mFrequency;
switch (mTransformType3D)
{
case .ImproveXYPlanes:
{
FNLfloat xy = x + y;
FNLfloat s2 = xy * -(FNLfloat)0.211324865405187;
z *= (FNLfloat)0.577350269189626;
x += s2 - z;
y = y + s2 - z;
z += xy * (FNLfloat)0.577350269189626;
}
case .ImproveXZPlanes:
{
FNLfloat xz = x + z;
FNLfloat s2 = xz * -(FNLfloat)0.211324865405187;
y *= (FNLfloat)0.577350269189626;
x += s2 - y;
z += s2 - y;
y += xz * (FNLfloat)0.577350269189626;
}
case .DefaultOpenSimplex2:
{
const FNLfloat R3 = (FNLfloat)(2.0 / 3.0);
FNLfloat r = (x + y + z) * R3; // Rotation, not skew
x = r - x;
y = r - y;
z = r - z;
}
default:
}
}
private void UpdateTransformType3D()
{
switch (mRotationType3D)
{
case .ImproveXYPlanes:
mTransformType3D = .ImproveXYPlanes;
case .ImproveXZPlanes:
mTransformType3D = .ImproveXZPlanes;
default:
switch (mNoiseType)
{
case .OpenSimplex2, .OpenSimplex2S:
mTransformType3D = .DefaultOpenSimplex2;
default:
mTransformType3D = .None;
}
}
}
// Domain Warp Coordinate Transforms
[Inline]
private void TransformDomainWarpCoordinate(ref FNLfloat x, ref FNLfloat y)
{
switch (mDomainWarpType)
{
case .OpenSimplex2, .OpenSimplex2Reduced:
{
const FNLfloat SQRT3 = (FNLfloat)1.7320508075688772935274463415059;
const FNLfloat F2 = 0.5f * (SQRT3 - 1);
FNLfloat t = (x + y) * F2;
x += t; y += t;
}
default:
}
}
[Inline]
private void TransformDomainWarpCoordinate(ref FNLfloat x, ref FNLfloat y, ref FNLfloat z)
{
switch (mWarpTransformType3D)
{
case .ImproveXYPlanes:
{
FNLfloat xy = x + y;
FNLfloat s2 = xy * -(FNLfloat)0.211324865405187;
z *= (FNLfloat)0.577350269189626;
x += s2 - z;
y = y + s2 - z;
z += xy * (FNLfloat)0.577350269189626;
}
case .ImproveXZPlanes:
{
FNLfloat xz = x + z;
FNLfloat s2 = xz * -(FNLfloat)0.211324865405187;
y *= (FNLfloat)0.577350269189626;
x += s2 - y; z += s2 - y;
y += xz * (FNLfloat)0.577350269189626;
}
case .DefaultOpenSimplex2:
{
const FNLfloat R3 = (FNLfloat)(2.0 / 3.0);
FNLfloat r = (x + y + z) * R3; // Rotation, not skew
x = r - x;
y = r - y;
z = r - z;
}
default:
}
}
private void UpdateWarpTransformType3D()
{
switch (mRotationType3D)
{
case .ImproveXYPlanes:
mWarpTransformType3D = .ImproveXYPlanes;
case .ImproveXZPlanes:
mWarpTransformType3D = .ImproveXZPlanes;
default:
switch (mDomainWarpType)
{
case .OpenSimplex2, .OpenSimplex2Reduced:
mWarpTransformType3D = .DefaultOpenSimplex2;
default:
mWarpTransformType3D = .None;
}
}
}
// Fractal FBm
private float GenFractalFBm(FNLfloat x, FNLfloat y)
{
var x, y;
int32 seed = mSeed;
float sum = 0;
float amp = mFractalBounding;
for (int32 i = 0; i < mOctaves; i++)
{
float noise = GenNoiseSingle(seed++, x, y);
sum += noise * amp;
amp *= Lerp(1.0f, FastMin(noise + 1, 2) * 0.5f, mWeightedStrength);
x *= mLacunarity;
y *= mLacunarity;
amp *= mGain;
}
return sum;
}
private float GenFractalFBm(FNLfloat x, FNLfloat y, FNLfloat z)
{
var x, y, z;
int32 seed = mSeed;
float sum = 0;
float amp = mFractalBounding;
for (int32 i = 0; i < mOctaves; i++)
{
float noise = GenNoiseSingle(seed++, x, y, z);
sum += noise * amp;
amp *= Lerp(1.0f, (noise + 1) * 0.5f, mWeightedStrength);
x *= mLacunarity;
y *= mLacunarity;
z *= mLacunarity;
amp *= mGain;
}
return sum;
}
// Fractal Ridged
private float GenFractalRidged(FNLfloat x, FNLfloat y)
{
var x, y;
int32 seed = mSeed;
float sum = 0;
float amp = mFractalBounding;
for (int32 i = 0; i < mOctaves; i++)
{
float noise = FastAbs(GenNoiseSingle(seed++, x, y));
sum += (noise * -2 + 1) * amp;
amp *= Lerp(1.0f, 1 - noise, mWeightedStrength);
x *= mLacunarity;
y *= mLacunarity;
amp *= mGain;
}
return sum;
}
private float GenFractalRidged(FNLfloat x, FNLfloat y, FNLfloat z)
{
var x, y, z;
int32 seed = mSeed;
float sum = 0;
float amp = mFractalBounding;
for (int32 i = 0; i < mOctaves; i++)
{
float noise = FastAbs(GenNoiseSingle(seed++, x, y, z));
sum += (noise * -2 + 1) * amp;
amp *= Lerp(1.0f, 1 - noise, mWeightedStrength);
x *= mLacunarity;
y *= mLacunarity;
z *= mLacunarity;
amp *= mGain;
}
return sum;
}
// Fractal PingPong
private float GenFractalPingPong(FNLfloat x, FNLfloat y)
{
var x, y;
int32 seed = mSeed;
float sum = 0;
float amp = mFractalBounding;
for (int32 i = 0; i < mOctaves; i++)
{
float noise = PingPong((GenNoiseSingle(seed++, x, y) + 1) * mPingPongStength);
sum += (noise - 0.5f) * 2 * amp;
amp *= Lerp(1.0f, noise, mWeightedStrength);
x *= mLacunarity;
y *= mLacunarity;
amp *= mGain;
}
return sum;
}
private float GenFractalPingPong(FNLfloat x, FNLfloat y, FNLfloat z)
{
var x, y, z;
int32 seed = mSeed;
float sum = 0;
float amp = mFractalBounding;
for (int32 i = 0; i < mOctaves; i++)
{
float noise = PingPong((GenNoiseSingle(seed++, x, y, z) + 1) * mPingPongStength);
sum += (noise - 0.5f) * 2 * amp;
amp *= Lerp(1.0f, noise, mWeightedStrength);
x *= mLacunarity;
y *= mLacunarity;
z *= mLacunarity;
amp *= mGain;
}
return sum;
}
// Simplex/OpenSimplex2 Noise
private float SingleSimplex(int32 seed, FNLfloat x, FNLfloat y)
{
// 2D OpenSimplex2 case uses the same algorithm as ordinary Simplex.
const float SQRT3 = 1.7320508075688772935274463415059f;
const float G2 = (3 - SQRT3) / 6;
/*
* --- Skew moved to TransformNoiseCoordinate method ---
* const FNfloat F2 = 0.5f * (SQRT3 - 1);
* FNfloat s = (x + y) * F2;
* x += s; y += s;
*/
int32 i = FastFloor(x);
int32 j = FastFloor(y);
float xi = (float)(x - i);
float yi = (float)(y - j);
float t = (xi + yi) * G2;
float x0 = (float)(xi - t);
float y0 = (float)(yi - t);
i *= PrimeX;
j *= PrimeY;
float n0, n1, n2;
float a = 0.5f - x0 * x0 - y0 * y0;
if (a <= 0) n0 = 0;
else
{
n0 = (a * a) * (a * a) * GradCoord(seed, i, j, x0, y0);
}
float c = (float)(2 * (1 - 2 * G2) * (1 / G2 - 2)) * t + ((float)(-2 * (1 - 2 * G2) * (1 - 2 * G2)) + a);
if (c <= 0) n2 = 0;
else
{
float x2 = x0 + (2 * (float)G2 - 1);
float y2 = y0 + (2 * (float)G2 - 1);
n2 = (c * c) * (c * c) * GradCoord(seed, i + PrimeX, j + PrimeY, x2, y2);
}
if (y0 > x0)
{
float x1 = x0 + (float)G2;
float y1 = y0 + ((float)G2 - 1);
float b = 0.5f - x1 * x1 - y1 * y1;
if (b <= 0) n1 = 0;
else
{
n1 = (b * b) * (b * b) * GradCoord(seed, i, j + PrimeY, x1, y1);
}
}
else
{
float x1 = x0 + ((float)G2 - 1);
float y1 = y0 + (float)G2;
float b = 0.5f - x1 * x1 - y1 * y1;
if (b <= 0) n1 = 0;
else
{
n1 = (b * b) * (b * b) * GradCoord(seed, i + PrimeX, j, x1, y1);
}
}
return (n0 + n1 + n2) * 99.83685446303647f;
}
private float SingleOpenSimplex2(int32 seed, FNLfloat x, FNLfloat y, FNLfloat z)
{
// 3D OpenSimplex2 case uses two offset rotated cube grids.
/*
* --- Rotation moved to TransformNoiseCoordinate method ---
* const FNfloat R3 = (FNfloat)(2.0 / 3.0);
* FNfloat r = (x + y + z) * R3; // Rotation, not skew
* x = r - x; y = r - y; z = r - z;
*/
var seed;
int32 i = FastRound(x);
int32 j = FastRound(y);
int32 k = FastRound(z);
float x0 = (float)(x - i);
float y0 = (float)(y - j);
float z0 = (float)(z - k);
int32 xNSign = (int32)(-1.0f - x0) | 1;
int32 yNSign = (int32)(-1.0f - y0) | 1;
int32 zNSign = (int32)(-1.0f - z0) | 1;
float ax0 = xNSign * -x0;
float ay0 = yNSign * -y0;
float az0 = zNSign * -z0;
i *= PrimeX;
j *= PrimeY;
k *= PrimeZ;
float value = 0;
float a = (0.6f - x0 * x0) - (y0 * y0 + z0 * z0);
for (int32 l = 0; ; l++)
{
if (a > 0)
{
value += (a * a) * (a * a) * GradCoord(seed, i, j, k, x0, y0, z0);
}
if (ax0 >= ay0 && ax0 >= az0)
{
float b = a + ax0 + ax0;
if (b > 1) {
b -= 1;
value += (b * b) * (b * b) * GradCoord(seed, i - xNSign * PrimeX, j, k, x0 + xNSign, y0, z0);
}
}
else if (ay0 > ax0 && ay0 >= az0)
{
float b = a + ay0 + ay0;
if (b > 1)
{
b -= 1;
value += (b * b) * (b * b) * GradCoord(seed, i, j - yNSign * PrimeY, k, x0, y0 + yNSign, z0);
}
}
else
{
float b = a + az0 + az0;
if (b > 1)
{
b -= 1;
value += (b * b) * (b * b) * GradCoord(seed, i, j, k - zNSign * PrimeZ, x0, y0, z0 + zNSign);
}
}
if (l == 1) break;
ax0 = 0.5f - ax0;
ay0 = 0.5f - ay0;
az0 = 0.5f - az0;
x0 = xNSign * ax0;
y0 = yNSign * ay0;
z0 = zNSign * az0;
a += (0.75f - ax0) - (ay0 + az0);
i += (xNSign >> 1) & PrimeX;
j += (yNSign >> 1) & PrimeY;
k += (zNSign >> 1) & PrimeZ;
xNSign = -xNSign;
yNSign = -yNSign;
zNSign = -zNSign;
seed = ~seed;
}
return value * 32.69428253173828125f;
}
// OpenSimplex2S Noise
private float SingleOpenSimplex2S(int32 seed, FNLfloat x, FNLfloat y) // @workaround: (PrimeY << 1) -> (int32)((int64)PrimeY << 1) multiple times
{
// 2D OpenSimplex2S case is a modified 2D simplex noise.
const FNLfloat SQRT3 = (FNLfloat)1.7320508075688772935274463415059;
const FNLfloat G2 = (3 - SQRT3) / 6;
/*
* --- Skew moved to TransformNoiseCoordinate method ---
* const FNfloat F2 = 0.5f * (SQRT3 - 1);
* FNfloat s = (x + y) * F2;
* x += s; y += s;
*/
int32 i = FastFloor(x);
int32 j = FastFloor(y);
float xi = (float)(x - i);
float yi = (float)(y - j);
i *= PrimeX;
j *= PrimeY;
int32 i1 = i + PrimeX;
int32 j1 = j + PrimeY;
float t = (xi + yi) * (float)G2;
float x0 = xi - t;
float y0 = yi - t;
float a0 = (2.0f / 3.0f) - x0 * x0 - y0 * y0;
float value = (a0 * a0) * (a0 * a0) * GradCoord(seed, i, j, x0, y0);
float a1 = (float)(2 * (1 - 2 * G2) * (1 / G2 - 2)) * t + ((float)(-2 * (1 - 2 * G2) * (1 - 2 * G2)) + a0);
float x1 = x0 - (float)(1 - 2 * G2);
float y1 = y0 - (float)(1 - 2 * G2);
value += (a1 * a1) * (a1 * a1) * GradCoord(seed, i1, j1, x1, y1);
// Nested conditionals were faster than compact bit logic/arithmetic.
float xmyi = xi - yi;
if (t > G2)
{
if (xi + xmyi > 1)
{
float x2 = x0 + (float)(3 * G2 - 2);
float y2 = y0 + (float)(3 * G2 - 1);
float a2 = (2.0f / 3.0f) - x2 * x2 - y2 * y2;
if (a2 > 0)
{
value += (a2 * a2) * (a2 * a2) * GradCoord(seed, i + (PrimeX << 1), j + PrimeY, x2, y2);
}
}
else
{
float x2 = x0 + (float)G2;
float y2 = y0 + (float)(G2 - 1);
float a2 = (2.0f / 3.0f) - x2 * x2 - y2 * y2;
if (a2 > 0)
{
value += (a2 * a2) * (a2 * a2) * GradCoord(seed, i, j + PrimeY, x2, y2);
}
}
if (yi - xmyi > 1)
{
float x3 = x0 + (float)(3 * G2 - 1);
float y3 = y0 + (float)(3 * G2 - 2);
float a3 = (2.0f / 3.0f) - x3 * x3 - y3 * y3;
if (a3 > 0)
{
value += (a3 * a3) * (a3 * a3) * GradCoord(seed, i + PrimeX, j + (int32)((int64)PrimeY << 1), x3, y3);
}
}
else
{
float x3 = x0 + (float)(G2 - 1);
float y3 = y0 + (float)G2;
float a3 = (2.0f / 3.0f) - x3 * x3 - y3 * y3;
if (a3 > 0)
{
value += (a3 * a3) * (a3 * a3) * GradCoord(seed, i + PrimeX, j, x3, y3);
}
}
}
else
{
if (xi + xmyi < 0)
{
float x2 = x0 + (float)(1 - G2);
float y2 = y0 - (float)G2;
float a2 = (2.0f / 3.0f) - x2 * x2 - y2 * y2;
if (a2 > 0)
{
value += (a2 * a2) * (a2 * a2) * GradCoord(seed, i - PrimeX, j, x2, y2);
}
}
else
{
float x2 = x0 + (float)(G2 - 1);
float y2 = y0 + (float)G2;
float a2 = (2.0f / 3.0f) - x2 * x2 - y2 * y2;
if (a2 > 0)
{
value += (a2 * a2) * (a2 * a2) * GradCoord(seed, i + PrimeX, j, x2, y2);
}
}
if (yi < xmyi)
{
float x2 = x0 - (float)G2;
float y2 = y0 - (float)(G2 - 1);
float a2 = (2.0f / 3.0f) - x2 * x2 - y2 * y2;
if (a2 > 0)
{
value += (a2 * a2) * (a2 * a2) * GradCoord(seed, i, j - PrimeY, x2, y2);
}
}
else
{
float x2 = x0 + (float)G2;
float y2 = y0 + (float)(G2 - 1);
float a2 = (2.0f / 3.0f) - x2 * x2 - y2 * y2;
if (a2 > 0)
{
value += (a2 * a2) * (a2 * a2) * GradCoord(seed, i, j + PrimeY, x2, y2);
}
}
}
return value * 18.24196194486065f;
}
private float SingleOpenSimplex2S(int32 seed, FNLfloat x, FNLfloat y, FNLfloat z) // @workaround: (PrimeY << 1) -> (int32)((int64)PrimeY << 1) multiple times
{
// 3D OpenSimplex2S case uses two offset rotated cube grids.
/*
* --- Rotation moved to TransformNoiseCoordinate method ---
* const FNfloat R3 = (FNfloat)(2.0 / 3.0);
* FNfloat r = (x + y + z) * R3; // Rotation, not skew
* x = r - x; y = r - y; z = r - z;
*/
int32 i = FastFloor(x);
int32 j = FastFloor(y);
int32 k = FastFloor(z);
float xi = (float)(x - i);
float yi = (float)(y - j);
float zi = (float)(z - k);
i *= PrimeX;
j *= PrimeY;
k *= PrimeZ;
int32 seed2 = seed + 1293373;
int32 xNMask = (int32)(-0.5f - xi);
int32 yNMask = (int32)(-0.5f - yi);
int32 zNMask = (int32)(-0.5f - zi);
float x0 = xi + xNMask;
float y0 = yi + yNMask;
float z0 = zi + zNMask;
float a0 = 0.75f - x0 * x0 - y0 * y0 - z0 * z0;
float value = (a0 * a0) * (a0 * a0) * GradCoord(seed,
i + (xNMask & PrimeX), j + (yNMask & PrimeY), k + (zNMask & PrimeZ), x0, y0, z0);
float x1 = xi - 0.5f;
float y1 = yi - 0.5f;
float z1 = zi - 0.5f;
float a1 = 0.75f - x1 * x1 - y1 * y1 - z1 * z1;
value += (a1 * a1) * (a1 * a1) * GradCoord(seed2,
i + PrimeX, j + PrimeY, k + PrimeZ, x1, y1, z1);
float xAFlipMask0 = ((xNMask | 1) << 1) * x1;
float yAFlipMask0 = ((yNMask | 1) << 1) * y1;
float zAFlipMask0 = ((zNMask | 1) << 1) * z1;
float xAFlipMask1 = (-2 - (xNMask << 2)) * x1 - 1.0f;
float yAFlipMask1 = (-2 - (yNMask << 2)) * y1 - 1.0f;
float zAFlipMask1 = (-2 - (zNMask << 2)) * z1 - 1.0f;
bool skip5 = false;
float a2 = xAFlipMask0 + a0;
if (a2 > 0)
{
float x2 = x0 - (xNMask | 1);
float y2 = y0;
float z2 = z0;
value += (a2 * a2) * (a2 * a2) * GradCoord(seed,
i + (~xNMask & PrimeX), j + (yNMask & PrimeY), k + (zNMask & PrimeZ), x2, y2, z2);
}
else
{
float a3 = yAFlipMask0 + zAFlipMask0 + a0;
if (a3 > 0)
{
float x3 = x0;
float y3 = y0 - (yNMask | 1);
float z3 = z0 - (zNMask | 1);
value += (a3 * a3) * (a3 * a3) * GradCoord(seed,
i + (xNMask & PrimeX), j + (~yNMask & PrimeY), k + (~zNMask & PrimeZ), x3, y3, z3);
}
float a4 = xAFlipMask1 + a1;
if (a4 > 0)
{
float x4 = (xNMask | 1) + x1;
float y4 = y1;
float z4 = z1;
value += (a4 * a4) * (a4 * a4) * GradCoord(seed2,
i + (xNMask & (PrimeX * 2)), j + PrimeY, k + PrimeZ, x4, y4, z4);
skip5 = true;
}
}
bool skip9 = false;
float a6 = yAFlipMask0 + a0;
if (a6 > 0)
{
float x6 = x0;
float y6 = y0 - (yNMask | 1);
float z6 = z0;
value += (a6 * a6) * (a6 * a6) * GradCoord(seed,
i + (xNMask & PrimeX), j + (~yNMask & PrimeY), k + (zNMask & PrimeZ), x6, y6, z6);
}
else
{
float a7 = xAFlipMask0 + zAFlipMask0 + a0;
if (a7 > 0)
{
float x7 = x0 - (xNMask | 1);
float y7 = y0;
float z7 = z0 - (zNMask | 1);
value += (a7 * a7) * (a7 * a7) * GradCoord(seed,
i + (~xNMask & PrimeX), j + (yNMask & PrimeY), k + (~zNMask & PrimeZ), x7, y7, z7);
}
float a8 = yAFlipMask1 + a1;
if (a8 > 0)
{
float x8 = x1;
float y8 = (yNMask | 1) + y1;
float z8 = z1;
value += (a8 * a8) * (a8 * a8) * GradCoord(seed2,
i + PrimeX, j + (yNMask & (int32)((int64)PrimeY << 1)), k + PrimeZ, x8, y8, z8);
skip9 = true;
}
}
bool skipD = false;
float aA = zAFlipMask0 + a0;
if (aA > 0)
{
float xA = x0;
float yA = y0;
float zA = z0 - (zNMask | 1);
value += (aA * aA) * (aA * aA) * GradCoord(seed,
i + (xNMask & PrimeX), j + (yNMask & PrimeY), k + (~zNMask & PrimeZ), xA, yA, zA);
}
else
{
float aB = xAFlipMask0 + yAFlipMask0 + a0;
if (aB > 0)
{
float xB = x0 - (xNMask | 1);
float yB = y0 - (yNMask | 1);
float zB = z0;
value += (aB * aB) * (aB * aB) * GradCoord(seed,
i + (~xNMask & PrimeX), j + (~yNMask & PrimeY), k + (zNMask & PrimeZ), xB, yB, zB);
}
float aC = zAFlipMask1 + a1;
if (aC > 0)
{
float xC = x1;
float yC = y1;
float zC = (zNMask | 1) + z1;
value += (aC * aC) * (aC * aC) * GradCoord(seed2,
i + PrimeX, j + PrimeY, k + (zNMask & (int32)((int64)PrimeZ << 1)), xC, yC, zC);
skipD = true;
}
}
if (!skip5)
{
float a5 = yAFlipMask1 + zAFlipMask1 + a1;
if (a5 > 0)
{
float x5 = x1;
float y5 = (yNMask | 1) + y1;
float z5 = (zNMask | 1) + z1;
value += (a5 * a5) * (a5 * a5) * GradCoord(seed2,
i + PrimeX, j + (yNMask & (int32)((int64)PrimeY << 1)), k + (zNMask & (int32)((int64)PrimeZ << 1)), x5, y5, z5);
}
}
if (!skip9)
{
float a9 = xAFlipMask1 + zAFlipMask1 + a1;
if (a9 > 0)
{
float x9 = (xNMask | 1) + x1;
float y9 = y1;
float z9 = (zNMask | 1) + z1;
value += (a9 * a9) * (a9 * a9) * GradCoord(seed2,
i + (xNMask & (PrimeX * 2)), j + PrimeY, k + (zNMask & (int32)((int64)PrimeZ << 1)), x9, y9, z9);
}
}
if (!skipD)
{
float aD = xAFlipMask1 + yAFlipMask1 + a1;
if (aD > 0)
{
float xD = (xNMask | 1) + x1;
float yD = (yNMask | 1) + y1;
float zD = z1;
value += (aD * aD) * (aD * aD) * GradCoord(seed2,
i + (xNMask & (PrimeX << 1)), j + (yNMask & (int32)((int64)PrimeY << 1)), k + PrimeZ, xD, yD, zD);
}
}
return value * 9.046026385208288f;
}
// Cellular Noise
private float SingleCellular(int32 seed, FNLfloat x, FNLfloat y)
{
int32 xr = FastRound(x);
int32 yr = FastRound(y);
float distance0 = float.MaxValue;
float distance1 = float.MaxValue;
int32 closestHash = 0;
float cellularJitter = 0.43701595f * mCellularJitterModifier;
int32 xPrimed = (xr - 1) * PrimeX;
int32 yPrimedBase = (yr - 1) * PrimeY;
switch (mCellularDistanceFunction)
{
case .Manhattan:
for (int32 xi = xr - 1; xi <= xr + 1; xi++)
{
int32 yPrimed = yPrimedBase;
for (int32 yi = yr - 1; yi <= yr + 1; yi++)
{
int32 hash = Hash(seed, xPrimed, yPrimed);
int32 idx = hash & (255 << 1);
float vecX = (float)(xi - x) + RandVecs2D[idx] * cellularJitter;
float vecY = (float)(yi - y) + RandVecs2D[idx | 1] * cellularJitter;
float newDistance = FastAbs(vecX) + FastAbs(vecY);
distance1 = FastMax(FastMin(distance1, newDistance), distance0);
if (newDistance < distance0)
{
distance0 = newDistance;
closestHash = hash;
}
yPrimed += PrimeY;
}
xPrimed += PrimeX;
}
case .Hybrid:
for (int32 xi = xr - 1; xi <= xr + 1; xi++)
{
int32 yPrimed = yPrimedBase;
for (int32 yi = yr - 1; yi <= yr + 1; yi++)
{
int32 hash = Hash(seed, xPrimed, yPrimed);
int32 idx = hash & (255 << 1);
float vecX = (float)(xi - x) + RandVecs2D[idx] * cellularJitter;
float vecY = (float)(yi - y) + RandVecs2D[idx | 1] * cellularJitter;
float newDistance = (FastAbs(vecX) + FastAbs(vecY)) + (vecX * vecX + vecY * vecY);
distance1 = FastMax(FastMin(distance1, newDistance), distance0);
if (newDistance < distance0)
{
distance0 = newDistance;
closestHash = hash;
}
yPrimed += PrimeY;
}
xPrimed += PrimeX;
}
default: // , .Euclidean, .EuclideanSq
for (int32 xi = xr - 1; xi <= xr + 1; xi++)
{
int32 yPrimed = yPrimedBase;
for (int32 yi = yr - 1; yi <= yr + 1; yi++)
{
int32 hash = Hash(seed, xPrimed, yPrimed);
int32 idx = hash & (255 << 1);
float vecX = (float)(xi - x) + RandVecs2D[idx] * cellularJitter;
float vecY = (float)(yi - y) + RandVecs2D[idx | 1] * cellularJitter;
float newDistance = vecX * vecX + vecY * vecY;
distance1 = FastMax(FastMin(distance1, newDistance), distance0);
if (newDistance < distance0)
{
distance0 = newDistance;
closestHash = hash;
}
yPrimed += PrimeY;
}
xPrimed += PrimeX;
}
}
if (mCellularDistanceFunction == CellularDistanceFunction.Euclidean && mCellularReturnType >= CellularReturnType.Distance)
{
distance0 = FastSqrt(distance0);
if (mCellularReturnType >= CellularReturnType.Distance2)
{
distance1 = FastSqrt(distance1);
}
}
switch (mCellularReturnType)
{
case .CellValue:
return closestHash * (1 / 2147483648.0f);
case .Distance:
return distance0 - 1;
case .Distance2:
return distance1 - 1;
case .Distance2Add:
return (distance1 + distance0) * 0.5f - 1;
case .Distance2Sub:
return distance1 - distance0 - 1;
case .Distance2Mul:
return distance1 * distance0 * 0.5f - 1;
case .Distance2Div:
return distance0 / distance1 - 1;
default:
return 0;
}
}
private float SingleCellular(int32 seed, FNLfloat x, FNLfloat y, FNLfloat z)
{
int32 xr = FastRound(x);
int32 yr = FastRound(y);
int32 zr = FastRound(z);
float distance0 = float.MaxValue;
float distance1 = float.MaxValue;
int32 closestHash = 0;
float cellularJitter = 0.39614353f * mCellularJitterModifier;
int32 xPrimed = (xr - 1) * PrimeX;
int32 yPrimedBase = (yr - 1) * PrimeY;
int32 zPrimedBase = (zr - 1) * PrimeZ;
switch (mCellularDistanceFunction)
{
case .Euclidean, .EuclideanSq:
for (int32 xi = xr - 1; xi <= xr + 1; xi++)
{
int32 yPrimed = yPrimedBase;
for (int32 yi = yr - 1; yi <= yr + 1; yi++)
{
int32 zPrimed = zPrimedBase;
for (int32 zi = zr - 1; zi <= zr + 1; zi++)
{
int32 hash = Hash(seed, xPrimed, yPrimed, zPrimed);
int32 idx = hash & (255 << 2);
float vecX = (float)(xi - x) + RandVecs3D[idx] * cellularJitter;
float vecY = (float)(yi - y) + RandVecs3D[idx | 1] * cellularJitter;
float vecZ = (float)(zi - z) + RandVecs3D[idx | 2] * cellularJitter;
float newDistance = vecX * vecX + vecY * vecY + vecZ * vecZ;
distance1 = FastMax(FastMin(distance1, newDistance), distance0);
if (newDistance < distance0)
{
distance0 = newDistance;
closestHash = hash;
}
zPrimed += PrimeZ;
}
yPrimed += PrimeY;
}
xPrimed += PrimeX;
}
case .Manhattan:
for (int32 xi = xr - 1; xi <= xr + 1; xi++)
{
int32 yPrimed = yPrimedBase;
for (int32 yi = yr - 1; yi <= yr + 1; yi++)
{
int32 zPrimed = zPrimedBase;
for (int32 zi = zr - 1; zi <= zr + 1; zi++)
{
int32 hash = Hash(seed, xPrimed, yPrimed, zPrimed);
int32 idx = hash & (255 << 2);
float vecX = (float)(xi - x) + RandVecs3D[idx] * cellularJitter;
float vecY = (float)(yi - y) + RandVecs3D[idx | 1] * cellularJitter;
float vecZ = (float)(zi - z) + RandVecs3D[idx | 2] * cellularJitter;
float newDistance = FastAbs(vecX) + FastAbs(vecY) + FastAbs(vecZ);
distance1 = FastMax(FastMin(distance1, newDistance), distance0);
if (newDistance < distance0)
{
distance0 = newDistance;
closestHash = hash;
}
zPrimed += PrimeZ;
}
yPrimed += PrimeY;
}
xPrimed += PrimeX;
}
case .Hybrid:
for (int32 xi = xr - 1; xi <= xr + 1; xi++)
{
int32 yPrimed = yPrimedBase;
for (int32 yi = yr - 1; yi <= yr + 1; yi++)
{
int32 zPrimed = zPrimedBase;
for (int32 zi = zr - 1; zi <= zr + 1; zi++)
{
int32 hash = Hash(seed, xPrimed, yPrimed, zPrimed);
int32 idx = hash & (255 << 2);
float vecX = (float)(xi - x) + RandVecs3D[idx] * cellularJitter;
float vecY = (float)(yi - y) + RandVecs3D[idx | 1] * cellularJitter;
float vecZ = (float)(zi - z) + RandVecs3D[idx | 2] * cellularJitter;
float newDistance = (FastAbs(vecX) + FastAbs(vecY) + FastAbs(vecZ)) + (vecX * vecX + vecY * vecY + vecZ * vecZ);
distance1 = FastMax(FastMin(distance1, newDistance), distance0);
if (newDistance < distance0)
{
distance0 = newDistance;
closestHash = hash;
}
zPrimed += PrimeZ;
}
yPrimed += PrimeY;
}
xPrimed += PrimeX;
}
default:
}
if (mCellularDistanceFunction == CellularDistanceFunction.Euclidean && mCellularReturnType >= CellularReturnType.Distance)
{
distance0 = FastSqrt(distance0);
if (mCellularReturnType >= CellularReturnType.Distance2)
{
distance1 = FastSqrt(distance1);
}
}
switch (mCellularReturnType)
{
case .CellValue:
return closestHash * (1 / 2147483648.0f);
case .Distance:
return distance0 - 1;
case .Distance2:
return distance1 - 1;
case .Distance2Add:
return (distance1 + distance0) * 0.5f - 1;
case .Distance2Sub:
return distance1 - distance0 - 1;
case .Distance2Mul:
return distance1 * distance0 * 0.5f - 1;
case .Distance2Div:
return distance0 / distance1 - 1;
default:
return 0;
}
}
// Perlin Noise
private float SinglePerlin(int32 seed, FNLfloat x, FNLfloat y)
{
int32 x0 = FastFloor(x);
int32 y0 = FastFloor(y);
float xd0 = (float)(x - x0);
float yd0 = (float)(y - y0);
float xd1 = xd0 - 1;
float yd1 = yd0 - 1;
float xs = InterpQuintic(xd0);
float ys = InterpQuintic(yd0);
x0 *= PrimeX;
y0 *= PrimeY;
int32 x1 = x0 + PrimeX;
int32 y1 = y0 + PrimeY;
float xf0 = Lerp(GradCoord(seed, x0, y0, xd0, yd0), GradCoord(seed, x1, y0, xd1, yd0), xs);
float xf1 = Lerp(GradCoord(seed, x0, y1, xd0, yd1), GradCoord(seed, x1, y1, xd1, yd1), xs);
return Lerp(xf0, xf1, ys) * 1.4247691104677813f;
}
private float SinglePerlin(int32 seed, FNLfloat x, FNLfloat y, FNLfloat z)
{
int32 x0 = FastFloor(x);
int32 y0 = FastFloor(y);
int32 z0 = FastFloor(z);
float xd0 = (float)(x - x0);
float yd0 = (float)(y - y0);
float zd0 = (float)(z - z0);
float xd1 = xd0 - 1;
float yd1 = yd0 - 1;
float zd1 = zd0 - 1;
float xs = InterpQuintic(xd0);
float ys = InterpQuintic(yd0);
float zs = InterpQuintic(zd0);
x0 *= PrimeX;
y0 *= PrimeY;
z0 *= PrimeZ;
int32 x1 = x0 + PrimeX;
int32 y1 = y0 + PrimeY;
int32 z1 = z0 + PrimeZ;
float xf00 = Lerp(GradCoord(seed, x0, y0, z0, xd0, yd0, zd0), GradCoord(seed, x1, y0, z0, xd1, yd0, zd0), xs);
float xf10 = Lerp(GradCoord(seed, x0, y1, z0, xd0, yd1, zd0), GradCoord(seed, x1, y1, z0, xd1, yd1, zd0), xs);
float xf01 = Lerp(GradCoord(seed, x0, y0, z1, xd0, yd0, zd1), GradCoord(seed, x1, y0, z1, xd1, yd0, zd1), xs);
float xf11 = Lerp(GradCoord(seed, x0, y1, z1, xd0, yd1, zd1), GradCoord(seed, x1, y1, z1, xd1, yd1, zd1), xs);
float yf0 = Lerp(xf00, xf10, ys);
float yf1 = Lerp(xf01, xf11, ys);
return Lerp(yf0, yf1, zs) * 0.964921414852142333984375f;
}
// Value Cubic Noise
private float SingleValueCubic(int32 seed, FNLfloat x, FNLfloat y)
{
int32 x1 = FastFloor(x);
int32 y1 = FastFloor(y);
float xs = (float)(x - x1);
float ys = (float)(y - y1);
x1 *= PrimeX;
y1 *= PrimeY;
int32 x0 = x1 - PrimeX;
int32 y0 = y1 - PrimeY;
int32 x2 = x1 + PrimeX;
int32 y2 = y1 + PrimeY;
int32 x3 = x1 + (int32)((int64)PrimeX << 1);
int32 y3 = y1 + (int32)((int64)PrimeY << 1);
return CubicLerp(
CubicLerp(ValCoord(seed, x0, y0), ValCoord(seed, x1, y0), ValCoord(seed, x2, y0), ValCoord(seed, x3, y0),
xs),
CubicLerp(ValCoord(seed, x0, y1), ValCoord(seed, x1, y1), ValCoord(seed, x2, y1), ValCoord(seed, x3, y1),
xs),
CubicLerp(ValCoord(seed, x0, y2), ValCoord(seed, x1, y2), ValCoord(seed, x2, y2), ValCoord(seed, x3, y2),
xs),
CubicLerp(ValCoord(seed, x0, y3), ValCoord(seed, x1, y3), ValCoord(seed, x2, y3), ValCoord(seed, x3, y3),
xs),
ys) * (1 / (1.5f * 1.5f));
}
private float SingleValueCubic(int32 seed, FNLfloat x, FNLfloat y, FNLfloat z)
{
int32 x1 = FastFloor(x);
int32 y1 = FastFloor(y);
int32 z1 = FastFloor(z);
float xs = (float)(x - x1);
float ys = (float)(y - y1);
float zs = (float)(z - z1);
x1 *= PrimeX;
y1 *= PrimeY;
z1 *= PrimeZ;
int32 x0 = x1 - PrimeX;
int32 y0 = y1 - PrimeY;
int32 z0 = z1 - PrimeZ;
int32 x2 = x1 + PrimeX;
int32 y2 = y1 + PrimeY;
int32 z2 = z1 + PrimeZ;
int32 x3 = x1 + (int32)((int64)PrimeX << 1);
int32 y3 = y1 + (int32)((int64)PrimeY << 1);
int32 z3 = z1 + (int32)((int64)PrimeZ << 1);
return CubicLerp(
CubicLerp(
CubicLerp(ValCoord(seed, x0, y0, z0), ValCoord(seed, x1, y0, z0), ValCoord(seed, x2, y0, z0), ValCoord(seed, x3, y0, z0), xs),
CubicLerp(ValCoord(seed, x0, y1, z0), ValCoord(seed, x1, y1, z0), ValCoord(seed, x2, y1, z0), ValCoord(seed, x3, y1, z0), xs),
CubicLerp(ValCoord(seed, x0, y2, z0), ValCoord(seed, x1, y2, z0), ValCoord(seed, x2, y2, z0), ValCoord(seed, x3, y2, z0), xs),
CubicLerp(ValCoord(seed, x0, y3, z0), ValCoord(seed, x1, y3, z0), ValCoord(seed, x2, y3, z0), ValCoord(seed, x3, y3, z0), xs),
ys),
CubicLerp(
CubicLerp(ValCoord(seed, x0, y0, z1), ValCoord(seed, x1, y0, z1), ValCoord(seed, x2, y0, z1), ValCoord(seed, x3, y0, z1), xs),
CubicLerp(ValCoord(seed, x0, y1, z1), ValCoord(seed, x1, y1, z1), ValCoord(seed, x2, y1, z1), ValCoord(seed, x3, y1, z1), xs),
CubicLerp(ValCoord(seed, x0, y2, z1), ValCoord(seed, x1, y2, z1), ValCoord(seed, x2, y2, z1), ValCoord(seed, x3, y2, z1), xs),
CubicLerp(ValCoord(seed, x0, y3, z1), ValCoord(seed, x1, y3, z1), ValCoord(seed, x2, y3, z1), ValCoord(seed, x3, y3, z1), xs),
ys),
CubicLerp(
CubicLerp(ValCoord(seed, x0, y0, z2), ValCoord(seed, x1, y0, z2), ValCoord(seed, x2, y0, z2), ValCoord(seed, x3, y0, z2), xs),
CubicLerp(ValCoord(seed, x0, y1, z2), ValCoord(seed, x1, y1, z2), ValCoord(seed, x2, y1, z2), ValCoord(seed, x3, y1, z2), xs),
CubicLerp(ValCoord(seed, x0, y2, z2), ValCoord(seed, x1, y2, z2), ValCoord(seed, x2, y2, z2), ValCoord(seed, x3, y2, z2), xs),
CubicLerp(ValCoord(seed, x0, y3, z2), ValCoord(seed, x1, y3, z2), ValCoord(seed, x2, y3, z2), ValCoord(seed, x3, y3, z2), xs),
ys),
CubicLerp(
CubicLerp(ValCoord(seed, x0, y0, z3), ValCoord(seed, x1, y0, z3), ValCoord(seed, x2, y0, z3), ValCoord(seed, x3, y0, z3), xs),
CubicLerp(ValCoord(seed, x0, y1, z3), ValCoord(seed, x1, y1, z3), ValCoord(seed, x2, y1, z3), ValCoord(seed, x3, y1, z3), xs),
CubicLerp(ValCoord(seed, x0, y2, z3), ValCoord(seed, x1, y2, z3), ValCoord(seed, x2, y2, z3), ValCoord(seed, x3, y2, z3), xs),
CubicLerp(ValCoord(seed, x0, y3, z3), ValCoord(seed, x1, y3, z3), ValCoord(seed, x2, y3, z3), ValCoord(seed, x3, y3, z3), xs),
ys),
zs) * (1 / (1.5f * 1.5f * 1.5f));
}
// Value Noise
private float SingleValue(int32 seed, FNLfloat x, FNLfloat y)
{
int32 x0 = FastFloor(x);
int32 y0 = FastFloor(y);
float xs = InterpHermite((float)(x - x0));
float ys = InterpHermite((float)(y - y0));
x0 *= PrimeX;
y0 *= PrimeY;
int32 x1 = x0 + PrimeX;
int32 y1 = y0 + PrimeY;
float xf0 = Lerp(ValCoord(seed, x0, y0), ValCoord(seed, x1, y0), xs);
float xf1 = Lerp(ValCoord(seed, x0, y1), ValCoord(seed, x1, y1), xs);
return Lerp(xf0, xf1, ys);
}
private float SingleValue(int32 seed, FNLfloat x, FNLfloat y, FNLfloat z)
{
int32 x0 = FastFloor(x);
int32 y0 = FastFloor(y);
int32 z0 = FastFloor(z);
float xs = InterpHermite((float)(x - x0));
float ys = InterpHermite((float)(y - y0));
float zs = InterpHermite((float)(z - z0));
x0 *= PrimeX;
y0 *= PrimeY;
z0 *= PrimeZ;
int32 x1 = x0 + PrimeX;
int32 y1 = y0 + PrimeY;
int32 z1 = z0 + PrimeZ;
float xf00 = Lerp(ValCoord(seed, x0, y0, z0), ValCoord(seed, x1, y0, z0), xs);
float xf10 = Lerp(ValCoord(seed, x0, y1, z0), ValCoord(seed, x1, y1, z0), xs);
float xf01 = Lerp(ValCoord(seed, x0, y0, z1), ValCoord(seed, x1, y0, z1), xs);
float xf11 = Lerp(ValCoord(seed, x0, y1, z1), ValCoord(seed, x1, y1, z1), xs);
float yf0 = Lerp(xf00, xf10, ys);
float yf1 = Lerp(xf01, xf11, ys);
return Lerp(yf0, yf1, zs);
}
// Domain Warp
private void DoSingleDomainWarp(int32 seed, float amp, float freq, FNLfloat x, FNLfloat y, ref FNLfloat xr, ref FNLfloat yr)
{
switch (mDomainWarpType)
{
case .OpenSimplex2:
SingleDomainWarpSimplexGradient(seed, amp * 38.283687591552734375f, freq, x, y, ref xr, ref yr, false);
case .OpenSimplex2Reduced:
SingleDomainWarpSimplexGradient(seed, amp * 16.0f, freq, x, y, ref xr, ref yr, true);
case .BasicGrid:
SingleDomainWarpBasicGrid(seed, amp, freq, x, y, ref xr, ref yr);
}
}
private void DoSingleDomainWarp(int32 seed, float amp, float freq, FNLfloat x, FNLfloat y, FNLfloat z, ref FNLfloat xr, ref FNLfloat yr, ref FNLfloat zr)
{
switch (mDomainWarpType)
{
case .OpenSimplex2:
SingleDomainWarpOpenSimplex2Gradient(seed, amp * 32.69428253173828125f, freq, x, y, z, ref xr, ref yr, ref zr, false);
case .OpenSimplex2Reduced:
SingleDomainWarpOpenSimplex2Gradient(seed, amp * 7.71604938271605f, freq, x, y, z, ref xr, ref yr, ref zr, true);
case .BasicGrid:
SingleDomainWarpBasicGrid(seed, amp, freq, x, y, z, ref xr, ref yr, ref zr);
}
}
// Domain Warp Single Wrapper
private void DomainWarpSingle(ref FNLfloat x, ref FNLfloat y)
{
int32 seed = mSeed;
float amp = mDomainWarpAmp * mFractalBounding;
float freq = mFrequency;
FNLfloat xs = x;
FNLfloat ys = y;
TransformDomainWarpCoordinate(ref xs, ref ys);
DoSingleDomainWarp(seed, amp, freq, xs, ys, ref x, ref y);
}
private void DomainWarpSingle(ref FNLfloat x, ref FNLfloat y, ref FNLfloat z)
{
int32 seed = mSeed;
float amp = mDomainWarpAmp * mFractalBounding;
float freq = mFrequency;
FNLfloat xs = x;
FNLfloat ys = y;
FNLfloat zs = z;
TransformDomainWarpCoordinate(ref xs, ref ys, ref zs);
DoSingleDomainWarp(seed, amp, freq, xs, ys, zs, ref x, ref y, ref z);
}
// Domain Warp Fractal Progressive
private void DomainWarpFractalProgressive(ref FNLfloat x, ref FNLfloat y)
{
int32 seed = mSeed;
float amp = mDomainWarpAmp * mFractalBounding;
float freq = mFrequency;
for (int32 i = 0; i < mOctaves; i++)
{
FNLfloat xs = x;
FNLfloat ys = y;
TransformDomainWarpCoordinate(ref xs, ref ys);
DoSingleDomainWarp(seed, amp, freq, xs, ys, ref x, ref y);
seed++;
amp *= mGain;
freq *= mLacunarity;
}
}
private void DomainWarpFractalProgressive(ref FNLfloat x, ref FNLfloat y, ref FNLfloat z)
{
int32 seed = mSeed;
float amp = mDomainWarpAmp * mFractalBounding;
float freq = mFrequency;
for (int32 i = 0; i < mOctaves; i++)
{
FNLfloat xs = x;
FNLfloat ys = y;
FNLfloat zs = z;
TransformDomainWarpCoordinate(ref xs, ref ys, ref zs);
DoSingleDomainWarp(seed, amp, freq, xs, ys, zs, ref x, ref y, ref z);
seed++;
amp *= mGain;
freq *= mLacunarity;
}
}
// Domain Warp Fractal Independant
private void DomainWarpFractalIndependent(ref FNLfloat x, ref FNLfloat y)
{
FNLfloat xs = x;
FNLfloat ys = y;
TransformDomainWarpCoordinate(ref xs, ref ys);
int32 seed = mSeed;
float amp = mDomainWarpAmp * mFractalBounding;
float freq = mFrequency;
for (int32 i = 0; i < mOctaves; i++)
{
DoSingleDomainWarp(seed, amp, freq, xs, ys, ref x, ref y);
seed++;
amp *= mGain;
freq *= mLacunarity;
}
}
private void DomainWarpFractalIndependent(ref FNLfloat x, ref FNLfloat y, ref FNLfloat z)
{
FNLfloat xs = x;
FNLfloat ys = y;
FNLfloat zs = z;
TransformDomainWarpCoordinate(ref xs, ref ys, ref zs);
int32 seed = mSeed;
float amp = mDomainWarpAmp * mFractalBounding;
float freq = mFrequency;
for (int32 i = 0; i < mOctaves; i++)
{
DoSingleDomainWarp(seed, amp, freq, xs, ys, zs, ref x, ref y, ref z);
seed++;
amp *= mGain;
freq *= mLacunarity;
}
}
// Domain Warp Basic Grid
private void SingleDomainWarpBasicGrid(int32 seed, float warpAmp, float frequency, FNLfloat x, FNLfloat y, ref FNLfloat xr, ref FNLfloat yr)
{
FNLfloat xf = x * frequency;
FNLfloat yf = y * frequency;
int32 x0 = FastFloor(xf);
int32 y0 = FastFloor(yf);
float xs = InterpHermite((float)(xf - x0));
float ys = InterpHermite((float)(yf - y0));
x0 *= PrimeX;
y0 *= PrimeY;
int32 x1 = x0 + PrimeX;
int32 y1 = y0 + PrimeY;
int32 hash0 = Hash(seed, x0, y0) & (255 << 1);
int32 hash1 = Hash(seed, x1, y0) & (255 << 1);
float lx0x = Lerp(RandVecs2D[hash0], RandVecs2D[hash1], xs);
float ly0x = Lerp(RandVecs2D[hash0 | 1], RandVecs2D[hash1 | 1], xs);
hash0 = Hash(seed, x0, y1) & (255 << 1);
hash1 = Hash(seed, x1, y1) & (255 << 1);
float lx1x = Lerp(RandVecs2D[hash0], RandVecs2D[hash1], xs);
float ly1x = Lerp(RandVecs2D[hash0 | 1], RandVecs2D[hash1 | 1], xs);
xr += Lerp(lx0x, lx1x, ys) * warpAmp;
yr += Lerp(ly0x, ly1x, ys) * warpAmp;
}
private void SingleDomainWarpBasicGrid(int32 seed, float warpAmp, float frequency, FNLfloat x, FNLfloat y, FNLfloat z, ref FNLfloat xr, ref FNLfloat yr, ref FNLfloat zr)
{
FNLfloat xf = x * frequency;
FNLfloat yf = y * frequency;
FNLfloat zf = z * frequency;
int32 x0 = FastFloor(xf);
int32 y0 = FastFloor(yf);
int32 z0 = FastFloor(zf);
float xs = InterpHermite((float)(xf - x0));
float ys = InterpHermite((float)(yf - y0));
float zs = InterpHermite((float)(zf - z0));
x0 *= PrimeX;
y0 *= PrimeY;
z0 *= PrimeZ;
int32 x1 = x0 + PrimeX;
int32 y1 = y0 + PrimeY;
int32 z1 = z0 + PrimeZ;
int32 hash0 = Hash(seed, x0, y0, z0) & (255 << 2);
int32 hash1 = Hash(seed, x1, y0, z0) & (255 << 2);
float lx0x = Lerp(RandVecs3D[hash0], RandVecs3D[hash1], xs);
float ly0x = Lerp(RandVecs3D[hash0 | 1], RandVecs3D[hash1 | 1], xs);
float lz0x = Lerp(RandVecs3D[hash0 | 2], RandVecs3D[hash1 | 2], xs);
hash0 = Hash(seed, x0, y1, z0) & (255 << 2);
hash1 = Hash(seed, x1, y1, z0) & (255 << 2);
float lx1x = Lerp(RandVecs3D[hash0], RandVecs3D[hash1], xs);
float ly1x = Lerp(RandVecs3D[hash0 | 1], RandVecs3D[hash1 | 1], xs);
float lz1x = Lerp(RandVecs3D[hash0 | 2], RandVecs3D[hash1 | 2], xs);
float lx0y = Lerp(lx0x, lx1x, ys);
float ly0y = Lerp(ly0x, ly1x, ys);
float lz0y = Lerp(lz0x, lz1x, ys);
hash0 = Hash(seed, x0, y0, z1) & (255 << 2);
hash1 = Hash(seed, x1, y0, z1) & (255 << 2);
lx0x = Lerp(RandVecs3D[hash0], RandVecs3D[hash1], xs);
ly0x = Lerp(RandVecs3D[hash0 | 1], RandVecs3D[hash1 | 1], xs);
lz0x = Lerp(RandVecs3D[hash0 | 2], RandVecs3D[hash1 | 2], xs);
hash0 = Hash(seed, x0, y1, z1) & (255 << 2);
hash1 = Hash(seed, x1, y1, z1) & (255 << 2);
lx1x = Lerp(RandVecs3D[hash0], RandVecs3D[hash1], xs);
ly1x = Lerp(RandVecs3D[hash0 | 1], RandVecs3D[hash1 | 1], xs);
lz1x = Lerp(RandVecs3D[hash0 | 2], RandVecs3D[hash1 | 2], xs);
xr += Lerp(lx0y, Lerp(lx0x, lx1x, ys), zs) * warpAmp;
yr += Lerp(ly0y, Lerp(ly0x, ly1x, ys), zs) * warpAmp;
zr += Lerp(lz0y, Lerp(lz0x, lz1x, ys), zs) * warpAmp;
}
// Domain Warp Simplex/OpenSimplex2
private void SingleDomainWarpSimplexGradient(int32 seed, float warpAmp, float frequency, FNLfloat x, FNLfloat y, ref FNLfloat xr, ref FNLfloat yr, bool outGradOnly)
{
const float SQRT3 = 1.7320508075688772935274463415059f;
const float G2 = (3 - SQRT3) / 6;
var x, y;
x *= frequency;
y *= frequency;
/*
* --- Skew moved to TransformNoiseCoordinate method ---
* const FNfloat F2 = 0.5f * (SQRT3 - 1);
* FNfloat s = (x + y) * F2;
* x += s; y += s;
*/
int32 i = FastFloor(x);
int32 j = FastFloor(y);
float xi = (float)(x - i);
float yi = (float)(y - j);
float t = (xi + yi) * G2;
float x0 = (float)(xi - t);
float y0 = (float)(yi - t);
i *= PrimeX;
j *= PrimeY;
float vx, vy;
vx = vy = 0;
float a = 0.5f - x0 * x0 - y0 * y0;
if (a > 0)
{
float aaaa = (a * a) * (a * a);
float xo, yo;
if (outGradOnly)
GradCoordOut(seed, i, j, out xo, out yo);
else
GradCoordDual(seed, i, j, x0, y0, out xo, out yo);
vx += aaaa * xo;
vy += aaaa * yo;
}
float c = (float)(2 * (1 - 2 * G2) * (1 / G2 - 2)) * t + ((float)(-2 * (1 - 2 * G2) * (1 - 2 * G2)) + a);
if (c > 0)
{
float x2 = x0 + (2 * (float)G2 - 1);
float y2 = y0 + (2 * (float)G2 - 1);
float cccc = (c * c) * (c * c);
float xo, yo;
if (outGradOnly)
GradCoordOut(seed, i + PrimeX, j + PrimeY, out xo, out yo);
else
GradCoordDual(seed, i + PrimeX, j + PrimeY, x2, y2, out xo, out yo);
vx += cccc * xo;
vy += cccc * yo;
}
if (y0 > x0)
{
float x1 = x0 + (float)G2;
float y1 = y0 + ((float)G2 - 1);
float b = 0.5f - x1 * x1 - y1 * y1;
if (b > 0)
{
float bbbb = (b * b) * (b * b);
float xo, yo;
if (outGradOnly)
GradCoordOut(seed, i, j + PrimeY, out xo, out yo);
else
GradCoordDual(seed, i, j + PrimeY, x1, y1, out xo, out yo);
vx += bbbb * xo;
vy += bbbb * yo;
}
}
else
{
float x1 = x0 + ((float)G2 - 1);
float y1 = y0 + (float)G2;
float b = 0.5f - x1 * x1 - y1 * y1;
if (b > 0)
{
float bbbb = (b * b) * (b * b);
float xo, yo;
if (outGradOnly)
GradCoordOut(seed, i + PrimeX, j, out xo, out yo);
else
GradCoordDual(seed, i + PrimeX, j, x1, y1, out xo, out yo);
vx += bbbb * xo;
vy += bbbb * yo;
}
}
xr += vx * warpAmp;
yr += vy * warpAmp;
}
private void SingleDomainWarpOpenSimplex2Gradient(int32 seed, float warpAmp, float frequency, FNLfloat x, FNLfloat y, FNLfloat z, ref FNLfloat xr, ref FNLfloat yr, ref FNLfloat zr, bool outGradOnly)
{
var x, y, z, seed;
x *= frequency;
y *= frequency;
z *= frequency;
/*
* --- Rotation moved to TransformDomainWarpCoordinate method ---
* const FNfloat R3 = (FNfloat)(2.0 / 3.0);
* FNfloat r = (x + y + z) * R3; // Rotation, not skew
* x = r - x; y = r - y; z = r - z;
*/
int32 i = FastRound(x);
int32 j = FastRound(y);
int32 k = FastRound(z);
float x0 = (float)x - i;
float y0 = (float)y - j;
float z0 = (float)z - k;
int32 xNSign = (int32)(-x0 - 1.0f) | 1;
int32 yNSign = (int32)(-y0 - 1.0f) | 1;
int32 zNSign = (int32)(-z0 - 1.0f) | 1;
float ax0 = xNSign * -x0;
float ay0 = yNSign * -y0;
float az0 = zNSign * -z0;
i *= PrimeX;
j *= PrimeY;
k *= PrimeZ;
float vx, vy, vz;
vx = vy = vz = 0;
float a = (0.6f - x0 * x0) - (y0 * y0 + z0 * z0);
for (int32 l = 0; ; l++)
{
if (a > 0)
{
float aaaa = (a * a) * (a * a);
float xo, yo, zo;
if (outGradOnly)
GradCoordOut(seed, i, j, k, out xo, out yo, out zo);
else
GradCoordDual(seed, i, j, k, x0, y0, z0, out xo, out yo, out zo);
vx += aaaa * xo;
vy += aaaa * yo;
vz += aaaa * zo;
}
float b = a;
int32 i1 = i;
int32 j1 = j;
int32 k1 = k;
float x1 = x0;
float y1 = y0;
float z1 = z0;
if (ax0 >= ay0 && ax0 >= az0)
{
x1 += xNSign;
b = b + ax0 + ax0;
i1 -= xNSign * PrimeX;
}
else if (ay0 > ax0 && ay0 >= az0)
{
y1 += yNSign;
b = b + ay0 + ay0;
j1 -= yNSign * PrimeY;
}
else
{
z1 += zNSign;
b = b + az0 + az0;
k1 -= zNSign * PrimeZ;
}
if (b > 1)
{
b -= 1;
float bbbb = (b * b) * (b * b);
float xo, yo, zo;
if (outGradOnly)
GradCoordOut(seed, i1, j1, k1, out xo, out yo, out zo);
else
GradCoordDual(seed, i1, j1, k1, x1, y1, z1, out xo, out yo, out zo);
vx += bbbb * xo;
vy += bbbb * yo;
vz += bbbb * zo;
}
if (l == 1) break;
ax0 = 0.5f - ax0;
ay0 = 0.5f - ay0;
az0 = 0.5f - az0;
x0 = xNSign * ax0;
y0 = yNSign * ay0;
z0 = zNSign * az0;
a += (0.75f - ax0) - (ay0 + az0);
i += (xNSign >> 1) & PrimeX;
j += (yNSign >> 1) & PrimeY;
k += (zNSign >> 1) & PrimeZ;
xNSign = -xNSign;
yNSign = -yNSign;
zNSign = -zNSign;
seed += 1293373;
}
xr += vx * warpAmp;
yr += vy * warpAmp;
zr += vz * warpAmp;
}
}
}
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