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FastNoiseLite.java
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FastNoiseLite.java
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// MIT License
//
// Copyright(c) 2023 Jordan Peck (jordan.me2@gmail.com)
// Copyright(c) 2023 Contributors
//
// 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
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//
// VERSION: 1.1.0
// https://github.com/Auburn/FastNoiseLite
// To switch between using floats or doubles for input position,
// perform a file-wide replace on the following strings (including /*FNLfloat*/)
// /*FNLfloat*/ float
// /*FNLfloat*/ double
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 int 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 int mOctaves = 3;
private float mLacunarity = 2.0f;
private float mGain = 0.5f;
private float mWeightedStrength = 0.0f;
private float mPingPongStrength = 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;
/// <summary>
/// Create new FastNoise object with default seed
/// </summary>
public FastNoiseLite() { }
/// <summary>
/// Create new FastNoise object with specified seed
/// </summary>
public FastNoiseLite(int seed)
{
SetSeed(seed);
}
/// <summary>
/// Sets seed used for all noise types
/// </summary>
/// <remarks>
/// Default: 1337
/// </remarks>
public void SetSeed(int seed) { mSeed = seed; }
/// <summary>
/// Sets frequency for all noise types
/// </summary>
/// <remarks>
/// Default: 0.01
/// </remarks>
public void SetFrequency(float frequency) { mFrequency = frequency; }
/// <summary>
/// Sets noise algorithm used for GetNoise(...)
/// </summary>
/// <remarks>
/// Default: OpenSimplex2
/// </remarks>
public void SetNoiseType(NoiseType noiseType)
{
mNoiseType = noiseType;
UpdateTransformType3D();
}
/// <summary>
/// Sets domain rotation type for 3D Noise and 3D DomainWarp.
/// Can aid in reducing directional artifacts when sampling a 2D plane in 3D
/// </summary>
/// <remarks>
/// Default: None
/// </remarks>
public void SetRotationType3D(RotationType3D rotationType3D)
{
mRotationType3D = rotationType3D;
UpdateTransformType3D();
UpdateWarpTransformType3D();
}
/// <summary>
/// Sets method for combining octaves in all fractal noise types
/// </summary>
/// <remarks>
/// Default: None
/// Note: FractalType.DomainWarp... only affects DomainWarp(...)
/// </remarks>
public void SetFractalType(FractalType fractalType) { mFractalType = fractalType; }
/// <summary>
/// Sets octave count for all fractal noise types
/// </summary>
/// <remarks>
/// Default: 3
/// </remarks>
public void SetFractalOctaves(int octaves)
{
mOctaves = octaves;
CalculateFractalBounding();
}
/// <summary>
/// Sets octave lacunarity for all fractal noise types
/// </summary>
/// <remarks>
/// Default: 2.0
/// </remarks>
public void SetFractalLacunarity(float lacunarity) { mLacunarity = lacunarity; }
/// <summary>
/// Sets octave gain for all fractal noise types
/// </summary>
/// <remarks>
/// Default: 0.5
/// </remarks>
public void SetFractalGain(float gain)
{
mGain = gain;
CalculateFractalBounding();
}
/// <summary>
/// Sets octave weighting for all none DomainWarp fratal types
/// </summary>
/// <remarks>
/// Default: 0.0
/// Note: Keep between 0...1 to maintain -1...1 output bounding
/// </remarks>
public void SetFractalWeightedStrength(float weightedStrength) { mWeightedStrength = weightedStrength; }
/// <summary>
/// Sets strength of the fractal ping pong effect
/// </summary>
/// <remarks>
/// Default: 2.0
/// </remarks>
public void SetFractalPingPongStrength(float pingPongStrength) { mPingPongStrength = pingPongStrength; }
/// <summary>
/// Sets distance function used in cellular noise calculations
/// </summary>
/// <remarks>
/// Default: Distance
/// </remarks>
public void SetCellularDistanceFunction(CellularDistanceFunction cellularDistanceFunction) { mCellularDistanceFunction = cellularDistanceFunction; }
/// <summary>
/// Sets return type from cellular noise calculations
/// </summary>
/// <remarks>
/// Default: EuclideanSq
/// </remarks>
public void SetCellularReturnType(CellularReturnType cellularReturnType) { mCellularReturnType = cellularReturnType; }
/// <summary>
/// Sets the maximum distance a cellular point can move from it's grid position
/// </summary>
/// <remarks>
/// Default: 1.0
/// Note: Setting this higher than 1 will cause artifacts
/// </remarks>
public void SetCellularJitter(float cellularJitter) { mCellularJitterModifier = cellularJitter; }
/// <summary>
/// Sets the warp algorithm when using DomainWarp(...)
/// </summary>
/// <remarks>
/// Default: OpenSimplex2
/// </remarks>
public void SetDomainWarpType(DomainWarpType domainWarpType)
{
mDomainWarpType = domainWarpType;
UpdateWarpTransformType3D();
}
/// <summary>
/// Sets the maximum warp distance from original position when using DomainWarp(...)
/// </summary>
/// <remarks>
/// Default: 1.0
/// </remarks>
public void SetDomainWarpAmp(float domainWarpAmp) { mDomainWarpAmp = domainWarpAmp; }
/// <summary>
/// 2D noise at given position using current settings
/// </summary>
/// <returns>
/// Noise output bounded between -1...1
/// </returns>
public float GetNoise(/*FNLfloat*/ float x, /*FNLfloat*/ float y)
{
x *= mFrequency;
y *= mFrequency;
switch (mNoiseType)
{
case OpenSimplex2:
case OpenSimplex2S:
{
final /*FNLfloat*/ float SQRT3 = (/*FNLfloat*/ float)1.7320508075688772935274463415059;
final /*FNLfloat*/ float F2 = 0.5f * (SQRT3 - 1);
/*FNLfloat*/ float t = (x + y) * F2;
x += t;
y += t;
}
break;
default:
break;
}
switch (mFractalType)
{
default:
return GenNoiseSingle(mSeed, x, y);
case FBm:
return GenFractalFBm(x, y);
case Ridged:
return GenFractalRidged(x, y);
case PingPong:
return GenFractalPingPong(x, y);
}
}
/// <summary>
/// 3D noise at given position using current settings
/// </summary>
/// <returns>
/// Noise output bounded between -1...1
/// </returns>
public float GetNoise(/*FNLfloat*/ float x, /*FNLfloat*/ float y, /*FNLfloat*/ float z)
{
x *= mFrequency;
y *= mFrequency;
z *= mFrequency;
switch (mTransformType3D)
{
case ImproveXYPlanes:
{
/*FNLfloat*/ float xy = x + y;
/*FNLfloat*/ float s2 = xy * -(/*FNLfloat*/ float)0.211324865405187;
z *= (/*FNLfloat*/ float)0.577350269189626;
x += s2 - z;
y = y + s2 - z;
z += xy * (/*FNLfloat*/ float)0.577350269189626;
}
break;
case ImproveXZPlanes:
{
/*FNLfloat*/ float xz = x + z;
/*FNLfloat*/ float s2 = xz * -(/*FNLfloat*/ float)0.211324865405187;
y *= (/*FNLfloat*/ float)0.577350269189626;
x += s2 - y;
z += s2 - y;
y += xz * (/*FNLfloat*/ float)0.577350269189626;
}
break;
case DefaultOpenSimplex2:
{
final /*FNLfloat*/ float R3 = (/*FNLfloat*/ float)(2.0 / 3.0);
/*FNLfloat*/ float r = (x + y + z) * R3; // Rotation, not skew
x = r - x;
y = r - y;
z = r - z;
}
break;
default:
break;
}
switch (mFractalType)
{
default:
return GenNoiseSingle(mSeed, x, y, z);
case FBm:
return GenFractalFBm(x, y, z);
case Ridged:
return GenFractalRidged(x, y, z);
case PingPong:
return GenFractalPingPong(x, y, z);
}
}
/// <summary>
/// 2D warps the input position using current domain warp settings
/// </summary>
/// <example>
/// Example usage with GetNoise
/// <code>DomainWarp(coord)
/// noise = GetNoise(x, y)</code>
/// </example>
public void DomainWarp(Vector2 coord)
{
switch (mFractalType)
{
default:
DomainWarpSingle(coord);
break;
case DomainWarpProgressive:
DomainWarpFractalProgressive(coord);
break;
case DomainWarpIndependent:
DomainWarpFractalIndependent(coord);
break;
}
}
/// <summary>
/// 3D warps the input position using current domain warp settings
/// </summary>
/// <example>
/// Example usage with GetNoise
/// <code>DomainWarp(coord)
/// noise = GetNoise(x, y, z)</code>
/// </example>
public void DomainWarp(Vector3 coord)
{
switch (mFractalType)
{
default:
DomainWarpSingle(coord);
break;
case DomainWarpProgressive:
DomainWarpFractalProgressive(coord);
break;
case DomainWarpIndependent:
DomainWarpFractalIndependent(coord);
break;
}
}
private static final float[] Gradients2D = {
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 final float[] RandVecs2D = {
-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 final float[] Gradients3D = {
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 final float[] RandVecs3D = {
-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,
-0.5876678086f, -0.3380045064f, -0.7351186982f, 0, -0.7967562402f, 0.04097822706f, -0.6029098428f, 0, -0.1996350917f, 0.8706294745f, 0.4496111079f, 0, -0.02787660336f, -0.9106232682f, -0.4122962022f, 0, -0.7797625996f, -0.6257634692f, 0.01975775581f, 0, -0.5211232846f, 0.7401644346f, -0.4249554471f, 0, 0.8575424857f, 0.4053272873f, -0.3167501783f, 0, 0.1045223322f, 0.8390195772f, -0.5339674439f, 0,
0.3501822831f, 0.9242524096f, -0.1520850155f, 0, 0.1987849858f, 0.07647613266f, 0.9770547224f, 0, 0.7845996363f, 0.6066256811f, -0.1280964233f, 0, 0.09006737436f, -0.9750989929f, -0.2026569073f, 0, -0.8274343547f, -0.542299559f, 0.1458203587f, 0, -0.3485797732f, -0.415802277f, 0.840000362f, 0, -0.2471778936f, -0.7304819962f, -0.6366310879f, 0, -0.3700154943f, 0.8577948156f, 0.3567584454f, 0,
0.5913394901f, -0.548311967f, -0.5913303597f, 0, 0.1204873514f, -0.7626472379f, -0.6354935001f, 0, 0.616959265f, 0.03079647928f, 0.7863922953f, 0, 0.1258156836f, -0.6640829889f, -0.7369967419f, 0, -0.6477565124f, -0.1740147258f, -0.7417077429f, 0, 0.6217889313f, -0.7804430448f, -0.06547655076f, 0, 0.6589943422f, -0.6096987708f, 0.4404473475f, 0, -0.2689837504f, -0.6732403169f, -0.6887635427f, 0,
-0.3849775103f, 0.5676542638f, 0.7277093879f, 0, 0.5754444408f, 0.8110471154f, -0.1051963504f, 0, 0.9141593684f, 0.3832947817f, 0.131900567f, 0, -0.107925319f, 0.9245493968f, 0.3654593525f, 0, 0.377977089f, 0.3043148782f, 0.8743716458f, 0, -0.2142885215f, -0.8259286236f, 0.5214617324f, 0, 0.5802544474f, 0.4148098596f, -0.7008834116f, 0, -0.1982660881f, 0.8567161266f, -0.4761596756f, 0,
-0.03381553704f, 0.3773180787f, -0.9254661404f, 0, -0.6867922841f, -0.6656597827f, 0.2919133642f, 0, 0.7731742607f, -0.2875793547f, -0.5652430251f, 0, -0.09655941928f, 0.9193708367f, -0.3813575004f, 0, 0.2715702457f, -0.9577909544f, -0.09426605581f, 0, 0.2451015704f, -0.6917998565f, -0.6792188003f, 0, 0.977700782f, -0.1753855374f, 0.1155036542f, 0, -0.5224739938f, 0.8521606816f, 0.02903615945f, 0,
-0.7734880599f, -0.5261292347f, 0.3534179531f, 0, -0.7134492443f, -0.269547243f, 0.6467878011f, 0, 0.1644037271f, 0.5105846203f, -0.8439637196f, 0, 0.6494635788f, 0.05585611296f, 0.7583384168f, 0, -0.4711970882f, 0.5017280509f, -0.7254255765f, 0, -0.6335764307f, -0.2381686273f, -0.7361091029f, 0, -0.9021533097f, -0.270947803f, -0.3357181763f, 0, -0.3793711033f, 0.872258117f, 0.3086152025f, 0,
-0.6855598966f, -0.3250143309f, 0.6514394162f, 0, 0.2900942212f, -0.7799057743f, -0.5546100667f, 0, -0.2098319339f, 0.85037073f, 0.4825351604f, 0, -0.4592603758f, 0.6598504336f, -0.5947077538f, 0, 0.8715945488f, 0.09616365406f, -0.4807031248f, 0, -0.6776666319f, 0.7118504878f, -0.1844907016f, 0, 0.7044377633f, 0.312427597f, 0.637304036f, 0, -0.7052318886f, -0.2401093292f, -0.6670798253f, 0,
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,
-0.9225877367f, -0.3475211012f, -0.167514036f, 0, -0.7105816789f, -0.4719692027f, -0.5218416899f, 0, -0.08564609717f, 0.3583001386f, 0.929669703f, 0, -0.8279697606f, -0.2043157126f, 0.5222271202f, 0, 0.427944023f, 0.278165994f, 0.8599346446f, 0, 0.5399079671f, -0.7857120652f, -0.3019204161f, 0, 0.5678404253f, -0.5495413974f, -0.6128307303f, 0, -0.9896071041f, 0.1365639107f, -0.04503418428f, 0,
-0.6154342638f, -0.6440875597f, 0.4543037336f, 0, 0.1074204368f, -0.7946340692f, 0.5975094525f, 0, -0.3595449969f, -0.8885529948f, 0.28495784f, 0, -0.2180405296f, 0.1529888965f, 0.9638738118f, 0, -0.7277432317f, -0.6164050508f, -0.3007234646f, 0, 0.7249729114f, -0.00669719484f, 0.6887448187f, 0, -0.5553659455f, -0.5336586252f, 0.6377908264f, 0, 0.5137558015f, 0.7976208196f, -0.3160000073f, 0,
-0.3794024848f, 0.9245608561f, -0.03522751494f, 0, 0.8229248658f, 0.2745365933f, -0.4974176556f, 0, -0.5404114394f, 0.6091141441f, 0.5804613989f, 0, 0.8036581901f, -0.2703029469f, 0.5301601931f, 0, 0.6044318879f, 0.6832968393f, 0.4095943388f, 0, 0.06389988817f, 0.9658208605f, -0.2512108074f, 0, 0.1087113286f, 0.7402471173f, -0.6634877936f, 0, -0.713427712f, -0.6926784018f, 0.1059128479f, 0,
0.6458897819f, -0.5724548511f, -0.5050958653f, 0, -0.6553931414f, 0.7381471625f, 0.159995615f, 0, 0.3910961323f, 0.9188871375f, -0.05186755998f, 0, -0.4879022471f, -0.5904376907f, 0.6429111375f, 0, 0.6014790094f, 0.7707441366f, -0.2101820095f, 0, -0.5677173047f, 0.7511360995f, 0.3368851762f, 0, 0.7858573506f, 0.226674665f, 0.5753666838f, 0, -0.4520345543f, -0.604222686f, -0.6561857263f, 0,
0.002272116345f, 0.4132844051f, -0.9105991643f, 0, -0.5815751419f, -0.5162925989f, 0.6286591339f, 0, -0.03703704785f, 0.8273785755f, 0.5604221175f, 0, -0.5119692504f, 0.7953543429f, -0.3244980058f, 0, -0.2682417366f, -0.9572290247f, -0.1084387619f, 0, -0.2322482736f, -0.9679131102f, -0.09594243324f, 0, 0.3554328906f, -0.8881505545f, 0.2913006227f, 0, 0.7346520519f, -0.4371373164f, 0.5188422971f, 0,
0.9985120116f, 0.04659011161f, -0.02833944577f, 0, -0.3727687496f, -0.9082481361f, 0.1900757285f, 0, 0.91737377f, -0.3483642108f, 0.1925298489f, 0, 0.2714911074f, 0.4147529736f, -0.8684886582f, 0, 0.5131763485f, -0.7116334161f, 0.4798207128f, 0, -0.8737353606f, 0.18886992f, -0.4482350644f, 0, 0.8460043821f, -0.3725217914f, 0.3814499973f, 0, 0.8978727456f, -0.1780209141f, -0.4026575304f, 0,
0.2178065647f, -0.9698322841f, -0.1094789531f, 0, -0.1518031304f, -0.7788918132f, -0.6085091231f, 0, -0.2600384876f, -0.4755398075f, -0.8403819825f, 0, 0.572313509f, -0.7474340931f, -0.3373418503f, 0, -0.7174141009f, 0.1699017182f, -0.6756111411f, 0, -0.684180784f, 0.02145707593f, -0.7289967412f, 0, -0.2007447902f, 0.06555605789f, -0.9774476623f, 0, -0.1148803697f, -0.8044887315f, 0.5827524187f, 0,
-0.7870349638f, 0.03447489231f, 0.6159443543f, 0, -0.2015596421f, 0.6859872284f, 0.6991389226f, 0, -0.08581082512f, -0.10920836f, -0.9903080513f, 0, 0.5532693395f, 0.7325250401f, -0.396610771f, 0, -0.1842489331f, -0.9777375055f, -0.1004076743f, 0, 0.0775473789f, -0.9111505856f, 0.4047110257f, 0, 0.1399838409f, 0.7601631212f, -0.6344734459f, 0, 0.4484419361f, -0.845289248f, 0.2904925424f, 0
};
private static float FastMin(float a, float b) { return a < b ? a : b; }
private static float FastMax(float a, float b) { return a > b ? a : b; }
private static float FastAbs(float f) { return f < 0 ? -f : f; }
private static float FastSqrt(float f) { return (float)Math.sqrt(f); }
private static int FastFloor(/*FNLfloat*/ float f) { return f >= 0 ? (int)f : (int)f - 1; }
private static int FastRound(/*FNLfloat*/ float f) { return f >= 0 ? (int)(f + 0.5f) : (int)(f - 0.5f); }
private static float Lerp(float a, float b, float t) { return a + t * (b - a); }
private static float InterpHermite(float t) { return t * t * (3 - 2 * t); }
private static float InterpQuintic(float t) { return t * t * t * (t * (t * 6 - 15) + 10); }
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;
}
private static float PingPong(float t)
{
t -= (int)(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 (int i = 1; i < mOctaves; i++)
{
ampFractal += amp;
amp *= gain;
}
mFractalBounding = 1 / ampFractal;
}
// Hashing
private static final int PrimeX = 501125321;
private static final int PrimeY = 1136930381;
private static final int PrimeZ = 1720413743;
private static int Hash(int seed, int xPrimed, int yPrimed)
{
int hash = seed ^ xPrimed ^ yPrimed;
hash *= 0x27d4eb2d;
return hash;
}
private static int Hash(int seed, int xPrimed, int yPrimed, int zPrimed)
{
int hash = seed ^ xPrimed ^ yPrimed ^ zPrimed;
hash *= 0x27d4eb2d;
return hash;
}
private static float ValCoord(int seed, int xPrimed, int yPrimed)
{
int hash = Hash(seed, xPrimed, yPrimed);
hash *= hash;
hash ^= hash << 19;
return hash * (1 / 2147483648.0f);
}
private static float ValCoord(int seed, int xPrimed, int yPrimed, int zPrimed)
{
int hash = Hash(seed, xPrimed, yPrimed, zPrimed);
hash *= hash;
hash ^= hash << 19;
return hash * (1 / 2147483648.0f);
}
private static float GradCoord(int seed, int xPrimed, int yPrimed, float xd, float yd)
{
int 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;
}
private static float GradCoord(int seed, int xPrimed, int yPrimed, int zPrimed, float xd, float yd, float zd)
{
int 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;
}
// Generic noise gen
private float GenNoiseSingle(int seed, /*FNLfloat*/ float x, /*FNLfloat*/ float 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(int seed, /*FNLfloat*/ float x, /*FNLfloat*/ float y, /*FNLfloat*/ float 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)
private void UpdateTransformType3D()
{
switch (mRotationType3D)
{
case ImproveXYPlanes:
mTransformType3D = TransformType3D.ImproveXYPlanes;
break;
case ImproveXZPlanes:
mTransformType3D = TransformType3D.ImproveXZPlanes;
break;
default:
switch (mNoiseType)
{
case OpenSimplex2:
case OpenSimplex2S:
mTransformType3D = TransformType3D.DefaultOpenSimplex2;
break;
default:
mTransformType3D = TransformType3D.None;
break;
}
break;
}
}
private void UpdateWarpTransformType3D()
{
switch (mRotationType3D)
{
case ImproveXYPlanes:
mWarpTransformType3D = TransformType3D.ImproveXYPlanes;
break;
case ImproveXZPlanes:
mWarpTransformType3D = TransformType3D.ImproveXZPlanes;
break;
default:
switch (mDomainWarpType)
{
case OpenSimplex2:
case OpenSimplex2Reduced:
mWarpTransformType3D = TransformType3D.DefaultOpenSimplex2;
break;
default:
mWarpTransformType3D = TransformType3D.None;
break;
}
break;
}
}
// Fractal FBm
private float GenFractalFBm(/*FNLfloat*/ float x, /*FNLfloat*/ float y)
{
int seed = mSeed;
float sum = 0;
float amp = mFractalBounding;
for (int 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*/ float x, /*FNLfloat*/ float y, /*FNLfloat*/ float z)
{
int seed = mSeed;
float sum = 0;
float amp = mFractalBounding;
for (int 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*/ float x, /*FNLfloat*/ float y)
{
int seed = mSeed;
float sum = 0;
float amp = mFractalBounding;
for (int 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*/ float x, /*FNLfloat*/ float y, /*FNLfloat*/ float z)
{
int seed = mSeed;
float sum = 0;
float amp = mFractalBounding;
for (int 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*/ float x, /*FNLfloat*/ float y)
{
int seed = mSeed;
float sum = 0;
float amp = mFractalBounding;
for (int i = 0; i < mOctaves; i++)
{
float noise = PingPong((GenNoiseSingle(seed++, x, y) + 1) * mPingPongStrength);
sum += (noise - 0.5f) * 2 * amp;
amp *= Lerp(1.0f, noise, mWeightedStrength);
x *= mLacunarity;
y *= mLacunarity;
amp *= mGain;
}
return sum;
}
private float GenFractalPingPong(/*FNLfloat*/ float x, /*FNLfloat*/ float y, /*FNLfloat*/ float z)
{
int seed = mSeed;
float sum = 0;
float amp = mFractalBounding;
for (int i = 0; i < mOctaves; i++)
{
float noise = PingPong((GenNoiseSingle(seed++, x, y, z) + 1) * mPingPongStrength);
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(int seed, /*FNLfloat*/ float x, /*FNLfloat*/ float y)
{
// 2D OpenSimplex2 case uses the same algorithm as ordinary Simplex.
final float SQRT3 = 1.7320508075688772935274463415059f;
final float G2 = (3 - SQRT3) / 6;
/*
* --- Skew moved to switch statements before fractal evaluation ---
* final FNLfloat F2 = 0.5f * (SQRT3 - 1);
* FNLfloat s = (x + y) * F2;
* x += s; y += s;
*/
int i = FastFloor(x);
int 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(int seed, /*FNLfloat*/ float x, /*FNLfloat*/ float y, /*FNLfloat*/ float z)
{
// 3D OpenSimplex2 case uses two offset rotated cube grids.
/*
* --- Rotation moved to switch statements before fractal evaluation ---
* final 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;
*/
int i = FastRound(x);
int j = FastRound(y);