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SquidLib platform-independent logic and utility code. Please refer to
https://github.com/SquidPony/SquidLib .
/*
* Derived from Joise, which is derived from the Accidental Noise Library.
* Licenses for these projects are as follows
*
* ============================================================================
* | Joise
* ============================================================================
*
* Copyright (C) 2016 Jason Taylor
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*
* ============================================================================
* | Accidental Noise Library
* | --------------------------------------------------------------------------
* | Joise is a derivative work based on Josua Tippetts' C++ library:
* | http://accidentalnoise.sourceforge.net/index.html
* ============================================================================
*
* Copyright (C) 2011 Joshua Tippetts
*
* This software is provided 'as-is', without any express or implied
* warranty. In no event will the authors be held liable for any damages
* arising from the use of this software.
*
* Permission is granted to anyone to use this software for any purpose,
* including commercial applications, and to alter it and redistribute it
* freely, subject to the following restrictions:
*
* 1. The origin of this software must not be misrepresented; you must not
* claim that you wrote the original software. If you use this software
* in a product, an acknowledgment in the product documentation would be
* appreciated but is not required.
* 2. Altered source versions must be plainly marked as such, and must not be
* misrepresented as being the original software.
* 3. This notice may not be removed or altered from any source distribution.
*/
package squidpony.squidmath;
import static squidpony.squidmath.Noise.HastyPointHash.hash256;
import static squidpony.squidmath.Noise.fastFloor;
/**
* More advanced noise functions, in 2D, 3D, 4D, and 6D, with the last two as options for generating seamlessly-tiling
* noise using {@link Noise#seamless2D(double[][], long, int, Noise.Noise4D)} and/or
* {@link Noise#seamless3D(double[][][], long, int, Noise.Noise6D)}. All functions can take a long seed that should
* significantly change the pattern of noise produced. Incorporates code from Joise; the full library is available at
* https://github.com/SudoPlayGames/Joise , and this class adds rather significant optimization in a few methods,
* especially 6D noise. Joise is derived from the Accidental Noise Library, available in C++ at
* http://accidentalnoise.sourceforge.net/index.html . Both Joise and ANL have many features that SquidLib has not (yet)
* incorporated, but now that SquidLib has seamless noise, that's a nice feature that would have needed Joise before.
*/
public class SeededNoise implements Noise.Noise2D, Noise.Noise3D, Noise.Noise4D, Noise.Noise6D {
/**
* 256 2-element gradient vectors formed from the cos and sin of increasing multiples of the inverse of phi, the
* golden ratio, while also adding increasing multiples of 2/3 of the reciprocal of {@link Math#E}. This produces
* a sequence with remarkably low overlap possible from nearby angles, distributed nicely around the unit circle.
* For i from 1 to 256 inclusive, this gets the cosine and sine of an angle in radians of
* {@code 0.61803398874989484820458683436563811772 * i + (i / (1.5 * 2.7182818284590452354))}. This is expected to
* be accessed using an 8-bit int (depending on how you got your int, the normal way to get 8 bits would be
* {@code index & 255}), but smaller numbers should also work down to about 4 bits (typically using
* {@code index & 15}).
*/
public static final double[][] phiGrad2 = {
{0.6499429579167653, 0.759982994187637},
{-0.1551483029088119, 0.9878911904175052},
{-0.8516180517334043, 0.5241628506120981},
{-0.9518580082090311, -0.30653928330368374},
{-0.38568876701087174, -0.9226289476282616},
{0.4505066120763985, -0.8927730912586049},
{0.9712959670388622, -0.23787421973396244},
{0.8120673355833279, 0.5835637432865366},
{0.08429892519436613, 0.9964405106232257},
{-0.702488350003267, 0.7116952424385647},
{-0.9974536374007479, -0.07131788861160528},
{-0.5940875849508908, -0.804400361391775},
{0.2252075529515288, -0.9743108118529653},
{0.8868317111719171, -0.4620925405802277},
{0.9275724981153959, 0.373643226540993},
{0.3189067150428103, 0.9477861083074618},
{-0.5130301507665112, 0.8583705868705491},
{-0.9857873824221494, 0.1679977281313266},
{-0.7683809836504446, -0.6399927061806058},
{-0.013020236219374872, -0.9999152331316848},
{0.7514561619680513, -0.6597830223946701},
{0.9898275175279653, 0.14227257481477412},
{0.5352066871710182, 0.8447211386057674},
{-0.29411988281443646, 0.9557685360657266},
{-0.9175289804081126, 0.39766892022290273},
{-0.8985631161871687, -0.43884430750324743},
{-0.2505005588110731, -0.968116454790094},
{0.5729409678802212, -0.8195966369650838},
{0.9952584535626074, -0.09726567026534665},
{0.7207814785200723, 0.6931623620930514},
{-0.05832476124070039, 0.998297662136006},
{-0.7965970142012075, 0.6045107087270838},
{-0.977160478114496, -0.21250270589112422},
{-0.4736001288089817, -0.8807399831914728},
{0.36153434093875386, -0.9323587937709286},
{0.9435535266854258, -0.3312200813348966},
{0.8649775992346886, 0.5018104750024599},
{0.1808186720712497, 0.9835164502083277},
{-0.6299339540895539, 0.7766487066139361},
{-0.9996609468975833, 0.02603826506945166},
{-0.6695112313914258, -0.7428019325774111},
{0.12937272671950842, -0.9915960354807594},
{0.8376810167470904, -0.5461597881403947},
{0.959517028911149, 0.28165061908243916},
{0.4095816551369482, 0.9122734610714476},
{-0.42710760401484793, 0.9042008043530463},
{-0.9647728141412515, 0.2630844295924223},
{-0.8269869890664444, -0.562221059650754},
{-0.11021592552380209, -0.9939076666174438},
{0.6837188597775012, -0.72974551782423},
{0.998972441738333, 0.04532174585508431},
{0.6148313475439905, 0.7886586169422362},
{-0.1997618324529528, 0.9798444827088829},
{-0.8744989400706802, 0.48502742583822706},
{-0.9369870231562731, -0.3493641630687752},
{-0.3434772946489506, -0.9391609809082988},
{0.4905057254335028, -0.8714379687143274},
{0.9810787787756657, -0.1936089611460388},
{0.7847847614201463, 0.6197684069414349},
{0.03905187955516296, 0.9992371844077906},
{-0.7340217731995672, 0.6791259356474049},
{-0.9931964444524306, -0.1164509455824639},
{-0.5570202966000876, -0.830498879695542},
{0.2691336060685578, -0.9631028512493016},
{0.9068632806061, -0.4214249521425399},
{0.9096851999779008, 0.4152984913783901},
{0.27562369868737335, 0.9612656119522284},
{-0.5514058359842319, 0.8342371389734039},
{-0.9923883787916933, 0.12314749546456379},
{-0.7385858406439617, -0.6741594440488484},
{0.032311046904542805, -0.9994778618098213},
{0.7805865154410089, -0.6250477517051506},
{0.9823623706068018, 0.18698709264487903},
{0.49637249435561115, 0.8681096398768929},
{-0.3371347561867868, 0.9414564016304079},
{-0.9346092156607797, 0.35567627697379833},
{-0.877750600058892, -0.47911781859606817},
{-0.20636642697019966, -0.9784747813917093},
{0.6094977881394418, -0.7927877687333024},
{0.998644017504346, -0.052058873429796634},
{0.6886255051458764, 0.7251171723677399},
{-0.10350942208147358, 0.9946284731196666},
{-0.8231759450656516, 0.567786371327519},
{-0.9665253951623188, -0.2565709658288005},
{-0.43319680340129196, -0.9012993562201753},
{0.4034189716368784, -0.9150153732716426},
{0.9575954428121146, -0.28811624026678895},
{0.8413458575409575, 0.5404971304259356},
{0.13605818775026976, 0.9907008476558967},
{-0.664485735550556, 0.7473009482463117},
{-0.999813836664718, -0.01929487014147803},
{-0.6351581891853917, -0.7723820781910558},
{0.17418065221630152, -0.984713714941304},
{0.8615731658120597, -0.5076334109892543},
{0.945766171482902, 0.32484819358982736},
{0.3678149601703667, 0.9298990026206456},
{-0.4676486851245607, 0.883914423064399},
{-0.9757048995218635, 0.2190889067228882},
{-0.8006563717736747, -0.5991238388999518},
{-0.06505704156910719, -0.9978815467490495},
{0.716089639712196, -0.6980083293893113},
{0.9958918787052943, 0.09055035024139549},
{0.5784561871098056, 0.8157134543418942},
{-0.24396482815448167, 0.9697840804135497},
{-0.8955826311865743, 0.4448952131872543},
{-0.9201904205900768, -0.39147105876968413},
{-0.3005599364234082, -0.9537629289384008},
{0.5294967923694863, -0.84831193960148},
{0.9888453593035162, -0.1489458135829932},
{0.7558893631265085, 0.6546993743025888},
{-0.006275422246980369, 0.9999803093439501},
{-0.764046696121276, 0.6451609459244744},
{-0.9868981170802014, -0.16134468229090512},
{-0.5188082666339063, -0.8548906260290385},
{0.31250655826478446, -0.9499156020623616},
{0.9250311403279032, -0.3798912863223621},
{0.889928392754896, 0.45610026942404636},
{0.2317742435145519, 0.9727696027545563},
{-0.5886483179573486, 0.8083892365475831},
{-0.996949901406418, 0.0780441803450664},
{-0.707272817672466, -0.7069407057042696},
{0.07757592706207364, -0.9969864470194466},
{0.8081126726681943, -0.5890279350532263},
{0.9728783545459001, 0.23131733021125322},
{0.4565181982253288, 0.8897140746830408},
{-0.3794567783511009, 0.9252094645881026},
{-0.9497687200714887, 0.31295267753091066},
{-0.8551342041690687, -0.5184066867432686},
{-0.16180818807538452, -0.9868222283024238},
{0.6448020194233159, -0.7643496292585048},
{0.9999772516247822, -0.006745089543285545},
{0.6550543261176665, 0.7555817823601425},
{-0.14848135899860646, 0.9889152066936411},
{-0.848063153443784, 0.5298951667745091},
{-0.9539039899003245, -0.300111942535184},
{-0.3919032080850608, -0.9200064540494471},
{0.44447452934057863, -0.8957914895596358},
{0.9696693887216105, -0.24442028675267172},
{0.8159850520735595, 0.5780730012658526},
{0.0910180879994953, 0.9958492394217692},
{-0.6976719213969089, 0.7164173993520435},
{-0.9979119924958648, -0.06458835214597858},
{-0.5994998228898376, -0.8003748886334786},
{0.2186306161766729, -0.9758076929755208},
{0.8836946816279001, -0.46806378802740584},
{0.9300716543684309, 0.36737816720699407},
{0.32529236260160294, 0.9456134933645286},
{-0.5072286936943775, 0.8618114946396893},
{-0.9846317976415725, 0.17464313062106204},
{-0.7726803123417516, -0.6347953488483143},
{-0.019764457813331488, -0.9998046640256011},
{0.7469887719961158, -0.6648366525032559},
{0.9907646418168752, 0.13559286310672486},
{0.5408922318074902, 0.8410919055432124},
{-0.2876664477065717, 0.9577306588304888},
{-0.9148257956391065, 0.40384868903250853},
{-0.9015027194859215, -0.4327734358292892},
{-0.2570248925062563, -0.9664047830139022},
{0.5673996816983953, -0.8234425306046317},
{0.9945797473944409, -0.10397656501736473},
{0.7254405241129018, 0.6882848581617921},
{-0.05158982732517303, 0.9986683582233687},
{-0.7925014140531963, 0.609870075281354},
{-0.9785715990807187, -0.20590683687679034},
{-0.47953002522651733, -0.8775254725113429},
{0.35523727306945746, -0.9347761656258549},
{0.9412979532686209, -0.33757689964259285},
{0.868342678987353, 0.4959647082697184},
{0.18744846526420056, 0.9822744386728669},
{-0.6246810590458048, 0.7808800000444446},
{-0.9994625758058275, 0.03278047534097766},
{-0.674506266646887, -0.738269121834361},
{0.12268137965007223, -0.9924461089082646},
{0.8339780641890598, -0.5517975973592748},
{0.9613949601033843, 0.2751721837101493},
{0.41572570400265835, 0.9094900433932711},
{-0.42099897262033487, 0.907061114287578},
{-0.9629763390922247, 0.2695859238694348},
{-0.8307604078465821, -0.5566301687427484},
{-0.11691741449967302, -0.9931416405461567},
{0.6787811074228051, -0.7343406622310046},
{0.999255415972447, 0.03858255628819732},
{0.6201369341201711, 0.7844935837468874},
{-0.19314814942146824, 0.9811696042861612},
{-0.8712074932224428, 0.4909149659086258},
{-0.9393222007870077, -0.34303615422962713},
{-0.3498042060103595, -0.9368228314134226},
{0.4846166400948296, -0.8747266499559725},
{0.9797505510481769, -0.20022202106859724},
{0.7889473022428521, 0.6144608647291752},
{0.045790935472179155, 0.9989510449609544},
{-0.7294243101497431, 0.684061529222753},
{-0.9939593229024027, -0.10974909756074072},
{-0.562609414602539, -0.8267228354174018},
{0.26263126874523307, -0.9648962724963078},
{0.9040001019019392, -0.4275322394408211},
{0.9124657316291773, 0.4091531358824348},
{0.28210125132356934, 0.9593846381935018},
{-0.5457662881946498, 0.8379374431723614},
{-0.9915351626845509, 0.12983844253579577},
{-0.7431163048326799, -0.6691622803863227},
{0.02556874420628532, -0.9996730662170076},
{0.7763527553119807, -0.6302986588273021},
{0.9836012681423212, 0.1803567168386515},
{0.5022166799422209, 0.8647418148718223},
{-0.330776879188771, 0.9437089891455613},
{-0.9321888864830543, 0.3619722087639923},
{-0.8809623252471085, -0.47318641305008735},
{-0.21296163248563432, -0.9770605626515961},
{0.604136498566135, -0.7968808512571063},
{0.9982701582127194, -0.05879363249495786},
{0.6935008202914851, 0.7204558364362367},
{-0.09679820929680796, 0.9953040272584711},
{-0.8193274492343137, 0.5733258505694586},
{-0.9682340024187017, -0.25004582891994304},
{-0.4392662937408502, -0.8983569018954422},
{0.39723793388455464, -0.9177156552457467},
{0.9556302892322005, -0.2945687530984589},
{0.8449724198323217, 0.5348098818484104},
{0.14273745857559722, 0.9897605861618151},
{-0.6594300077680133, 0.7517659641504648},
{-0.9999212381512442, -0.01255059735959867},
{-0.6403535266476091, -0.768080308893523},
{0.16753470770767478, -0.9858661784001437},
{0.8581295336101056, -0.5134332513054668},
{0.9479357869928937, 0.31846152630759517},
{0.37407884501651706, 0.9273969040875156},
{-0.461675964944643, 0.8870486477034012},
{-0.9742049295269273, 0.22566513972130173},
{-0.8046793020829978, -0.5937097108850584},
{-0.07178636201352963, -0.9974200309943962},
{0.7113652211526822, -0.7028225395748172},
{0.9964799940037152, 0.08383091047075403},
{0.5839450884626246, 0.8117931594072332},
{-0.23741799789097484, 0.9714075840127259},
{-0.8925614000865144, 0.45092587758477687},
{-0.9228099950981292, -0.38525538665538556},
{-0.30698631553196837, -0.95171392869712},
{0.5237628071845146, -0.8518641451605984},
{0.9878182118285335, -0.15561227580071732},
{0.7602881737752754, 0.6495859395164404},
{4.6967723669845613E-4, 0.9999998897016406},
{-0.7596776469502666, 0.6502998329417794},
{-0.9879639510809196, -0.15468429579171308},
{-0.5245627784110601, -0.8513717704420726},
{0.3060921834538644, -0.9520018777441807},
{0.9224476966294768, -0.3861220622846781},
{0.8929845854878761, 0.45008724718774934},
{0.23833038910266038, 0.9711841358002995},
{-0.5831822693781987, 0.8123413326200348},
{-0.9964008074312266, 0.0847669213219385},
{-0.712025106726807, -0.7021540054650968},
{0.07084939947717452, -0.9974870237721009},
{0.8041212432524677, -0.5944653279629567},
{0.9744164792492415, 0.22474991650168097},
{0.462509014279733, 0.8866145790082576},
};
// these are the exact vertex positions, before scaling has been applied
// {
// {-0.324919696232904f, 0.850650808352036f, 0.000000000000001f },
// { 0.000000000000001f, 0.850650808352035f, 0.525731112119131f },
// { 0.324919696232906f, 0.850650808352036f, 0.000000000000001f },
// { 0.000000000000001f, 0.850650808352036f, -0.525731112119131f },
// {-0.525731112119131f, 0.525731112119132f, -0.525731112119130f },
// {-0.850650808352035f, 0.525731112119132f, 0.000000000000001f },
// {-0.525731112119130f, 0.525731112119131f, 0.525731112119132f },
// { 0.525731112119132f, 0.525731112119131f, 0.525731112119131f },
// { 0.850650808352036f, 0.525731112119132f, 0.000000000000000f },
// { 0.525731112119132f, 0.525731112119132f, -0.525731112119131f },
// {-0.525731112119132f, 0.000000000000002f, -0.850650808352036f },
// {-0.850650808352036f, 0.000000000000002f, -0.324919696232905f },
// { 0.000000000000000f, 0.324919696232906f, -0.850650808352037f },
// {-0.525731112119131f, 0.000000000000001f, 0.850650808352037f },
// { 0.000000000000001f, 0.324919696232905f, 0.850650808352037f },
// {-0.850650808352037f, 0.000000000000001f, 0.324919696232905f },
// { 0.525731112119133f, 0.000000000000001f, 0.850650808352036f },
// { 0.850650808352037f, 0.000000000000001f, 0.324919696232905f },
// { 0.525731112119132f, 0.000000000000001f, -0.850650808352038f },
// { 0.850650808352038f, 0.000000000000001f, -0.324919696232906f },
// {-0.525731112119134f, -0.525731112119130f, -0.525731112119133f },
// {-0.850650808352038f, -0.525731112119130f, -0.000000000000001f },
// {-0.000000000000001f, -0.324919696232905f, -0.850650808352038f },
// {-0.000000000000001f, -0.324919696232905f, 0.850650808352038f },
// {-0.525731112119132f, -0.525731112119131f, 0.525731112119133f },
// { 0.525731112119133f, -0.525731112119131f, 0.525731112119134f },
// { 0.850650808352039f, -0.525731112119130f, 0.000000000000001f },
// { 0.525731112119132f, -0.525731112119134f, -0.525731112119133f },
// {-0.000000000000003f, -0.850650808352038f, -0.525731112119134f },
// {-0.324919696232908f, -0.850650808352038f, -0.000000000000002f },
// {-0.000000000000002f, -0.850650808352042f, 0.525731112119130f },
// { 0.324919696232902f, -0.850650808352041f, 0.000000000000002f }
// };
protected static final float[] grad3d =
{
-0.448549002408981f, 1.174316525459290f, 0.000000000000001f,
0.000000000000001f, 1.069324374198914f, 0.660878777503967f,
0.448549002408981f, 1.174316525459290f, 0.000000000000001f,
0.000000000000001f, 1.069324374198914f, -0.660878777503967f,
-0.725767493247986f, 0.725767493247986f, -0.725767493247986f,
-1.069324374198914f, 0.660878777503967f, 0.000000000000001f,
-0.725767493247986f, 0.725767493247986f, 0.725767493247986f,
0.725767493247986f, 0.725767493247986f, 0.725767493247986f,
1.069324374198914f, 0.660878777503967f, 0.000000000000000f,
0.725767493247986f, 0.725767493247986f, -0.725767493247986f,
-0.660878777503967f, 0.000000000000003f, -1.069324374198914f,
-1.174316525459290f, 0.000000000000003f, -0.448549002408981f,
0.000000000000000f, 0.448549002408981f, -1.174316525459290f,
-0.660878777503967f, 0.000000000000001f, 1.069324374198914f,
0.000000000000001f, 0.448549002408981f, 1.174316525459290f,
-1.174316525459290f, 0.000000000000001f, 0.448549002408981f,
0.660878777503967f, 0.000000000000001f, 1.069324374198914f,
1.174316525459290f, 0.000000000000001f, 0.448549002408981f,
0.660878777503967f, 0.000000000000001f, -1.069324374198914f,
1.174316525459290f, 0.000000000000001f, -0.448549002408981f,
-0.725767493247986f, -0.725767493247986f, -0.725767493247986f,
-1.069324374198914f, -0.660878777503967f, -0.000000000000001f,
-0.000000000000001f, -0.448549002408981f, -1.174316525459290f,
-0.000000000000001f, -0.448549002408981f, 1.174316525459290f,
-0.725767493247986f, -0.725767493247986f, 0.725767493247986f,
0.725767493247986f, -0.725767493247986f, 0.725767493247986f,
1.069324374198914f, -0.660878777503967f, 0.000000000000001f,
0.725767493247986f, -0.725767493247986f, -0.725767493247986f,
-0.000000000000004f, -1.069324374198914f, -0.660878777503967f,
-0.448549002408981f, -1.174316525459290f, -0.000000000000003f,
-0.000000000000003f, -1.069324374198914f, 0.660878777503967f,
0.448549002408981f, -1.174316525459290f, 0.000000000000003f,
};
protected static final double[] grad4d =
{
-0.5875167, 1.4183908, 1.4183908, 1.4183908,
-0.5875167, 1.4183908, 1.4183908, -1.4183908,
-0.5875167, 1.4183908, -1.4183908, 1.4183908,
-0.5875167, 1.4183908, -1.4183908, -1.4183908,
-0.5875167, -1.4183908, 1.4183908, 1.4183908,
-0.5875167, -1.4183908, 1.4183908, -1.4183908,
-0.5875167, -1.4183908, -1.4183908, 1.4183908,
-0.5875167, -1.4183908, -1.4183908, -1.4183908,
1.4183908, -0.5875167, 1.4183908, 1.4183908,
1.4183908, -0.5875167, 1.4183908, -1.4183908,
1.4183908, -0.5875167, -1.4183908, 1.4183908,
1.4183908, -0.5875167, -1.4183908, -1.4183908,
-1.4183908, -0.5875167, 1.4183908, 1.4183908,
-1.4183908, -0.5875167, 1.4183908, -1.4183908,
-1.4183908, -0.5875167, -1.4183908, 1.4183908,
-1.4183908, -0.5875167, -1.4183908, -1.4183908,
1.4183908, 1.4183908, -0.5875167, 1.4183908,
1.4183908, 1.4183908, -0.5875167, -1.4183908,
1.4183908, -1.4183908, -0.5875167, 1.4183908,
1.4183908, -1.4183908, -0.5875167, -1.4183908,
-1.4183908, 1.4183908, -0.5875167, 1.4183908,
-1.4183908, 1.4183908, -0.5875167, -1.4183908,
-1.4183908, -1.4183908, -0.5875167, 1.4183908,
-1.4183908, -1.4183908, -0.5875167, -1.4183908,
1.4183908, 1.4183908, 1.4183908, -0.5875167,
1.4183908, 1.4183908, -1.4183908, -0.5875167,
1.4183908, -1.4183908, 1.4183908, -0.5875167,
1.4183908, -1.4183908, -1.4183908, -0.5875167,
-1.4183908, 1.4183908, 1.4183908, -0.5875167,
-1.4183908, 1.4183908, -1.4183908, -0.5875167,
-1.4183908, -1.4183908, 1.4183908, -0.5875167,
-1.4183908, -1.4183908, -1.4183908, -0.5875167,
0.5875167, 1.4183908, 1.4183908, 1.4183908,
0.5875167, 1.4183908, 1.4183908, -1.4183908,
0.5875167, 1.4183908, -1.4183908, 1.4183908,
0.5875167, 1.4183908, -1.4183908, -1.4183908,
0.5875167, -1.4183908, 1.4183908, 1.4183908,
0.5875167, -1.4183908, 1.4183908, -1.4183908,
0.5875167, -1.4183908, -1.4183908, 1.4183908,
0.5875167, -1.4183908, -1.4183908, -1.4183908,
1.4183908, 0.5875167, 1.4183908, 1.4183908,
1.4183908, 0.5875167, 1.4183908, -1.4183908,
1.4183908, 0.5875167, -1.4183908, 1.4183908,
1.4183908, 0.5875167, -1.4183908, -1.4183908,
-1.4183908, 0.5875167, 1.4183908, 1.4183908,
-1.4183908, 0.5875167, 1.4183908, -1.4183908,
-1.4183908, 0.5875167, -1.4183908, 1.4183908,
-1.4183908, 0.5875167, -1.4183908, -1.4183908,
1.4183908, 1.4183908, 0.5875167, 1.4183908,
1.4183908, 1.4183908, 0.5875167, -1.4183908,
1.4183908, -1.4183908, 0.5875167, 1.4183908,
1.4183908, -1.4183908, 0.5875167, -1.4183908,
-1.4183908, 1.4183908, 0.5875167, 1.4183908,
-1.4183908, 1.4183908, 0.5875167, -1.4183908,
-1.4183908, -1.4183908, 0.5875167, 1.4183908,
-1.4183908, -1.4183908, 0.5875167, -1.4183908,
1.4183908, 1.4183908, 1.4183908, 0.5875167,
1.4183908, 1.4183908, -1.4183908, 0.5875167,
1.4183908, -1.4183908, 1.4183908, 0.5875167,
1.4183908, -1.4183908, -1.4183908, 0.5875167,
-1.4183908, 1.4183908, 1.4183908, 0.5875167,
-1.4183908, 1.4183908, -1.4183908, 0.5875167,
-1.4183908, -1.4183908, 1.4183908, 0.5875167,
-1.4183908, -1.4183908, -1.4183908, 0.5875167,
};
protected final long defaultSeed;
public static final SeededNoise instance = new SeededNoise();
public SeededNoise() {
defaultSeed = 0x1337BEEF2A22L;
}
public SeededNoise(long seed)
{
defaultSeed = seed;
}
/**
* Computes the hash for a 3D int point and its dot product with a 3D double point as one step.
* @param seed
* @param x
* @param y
* @param z
* @param xd
* @param yd
* @param zd
* @return a double between -1.2571 and 1.2571, exclusive
*/
protected static double gradCoord3D(long seed, int x, int y, int z, double xd, double yd, double zd) {
final int hash = Noise.HastyPointHash.hash32(x, y, z, seed) * 3;
return xd * grad3d[hash] + yd * grad3d[hash + 1] + zd * grad3d[hash + 2];
}
public double getNoise(final double x, final double y) {
return noise(x, y, defaultSeed);
}
public double getNoise(final double x, final double y, final double z) {
return noise(x, y, z, defaultSeed);
}
public double getNoise(final double x, final double y, final double z, final double w) {
return noise(x, y, z, w, defaultSeed);
}
public double getNoise(final double x, final double y, final double z, final double w, final double u, final double v) {
return noise(x, y, z, w, u, v, defaultSeed);
}
public double getNoiseWithSeed(final double x, final double y, final long seed) {
return noise(x, y, seed);
}
public double getNoiseWithSeed(final double x, final double y, final double z, final long seed) {
return noise(x, y, z, seed);
}
public double getNoiseWithSeed(final double x, final double y, final double z, final double w, final long seed) {
return noise(x, y, z, w, seed);
}
public double getNoiseWithSeed(final double x, final double y, final double z, final double w, final double u, final double v, final long seed) {
return noise(x, y, z, w, u, v, seed);
}
protected static final double[] gradient6DLUT = {
0.31733186658157, 0.043599150809166, -0.63578104939541,
0.60224147484783, -0.061995657882187, 0.35587048501823,
-0.54645425808647, -0.75981513883963, -0.035144342454363,
0.13137365402959, 0.29650029456531, 0.13289887942467,
0.72720729277573, -0.0170513084554, 0.10403853926717, 0.57016794579524,
0.10006650294475, -0.35348266879289,
0.0524867271859, 0.16599786784909, -0.49406271077513, 0.51847470894887,
0.63927166664011, -0.21933445140234,
-0.57224122530978, -0.089985946187774, 0.44829955643248,
0.53836681748476, -0.051299333576026, -0.41352093713992,
-0.35034584363296, -0.37367516013323, -0.52676009109159,
0.12379417201967, 0.42566489477591, 0.51345191723381,
0.40936909283115, 0.33036021753157, 0.46771483894695, 0.15073372728805,
0.51541333179083, -0.46491971651678,
-0.64339751231027, -0.29341468636474, -0.50841617762291,
-0.080659811936781, -0.46873502824317, -0.12345817650503,
0.46950904113222, 0.41685007896275, -0.33378791988356,
-0.39617029121348, 0.54659770033168, 0.19662896748851,
-0.49213884108338, 0.50450587466563, -0.0073247243900323,
0.57958418990163, 0.39591449230465, 0.10272980841415,
0.34572956497624, 0.62770109739866, 0.12165109216674, 0.35267248385686,
0.34842369637704, -0.47527514024373,
0.076282233884284, 0.56461194794873, -0.392426730607,
-0.20639693057567, 0.33197602170266, 0.60711436994661,
0.46792592791359, -0.38434666353171, -0.46719345820863,
-0.40169520060432, -0.061343490026986, 0.49993117813162,
-0.25398819915038, -0.82255018555745, 0.40372967512401,
0.21051604195389, 0.020384827146984, 0.22621006002887,
0.23269489013955, -0.42234243708413, -0.18886779174866,
0.44290933725703, -0.40895242871151, 0.60695810498111,
-0.13615585122038, 0.26142849716038, 0.68738606675966,
0.42914965171764, 0.26332301994884, 0.43256061294487,
0.06145597366231, -0.25432792035414, 0.65050463165568,
0.35622065678761, -0.52670947710524, -0.32259598080167,
-0.28027055313228, 0.30275296247348, 0.39083872911587,
0.17564171472763, 0.25278203996272, 0.76307625890429,
-0.62937098181034, -0.24958587788613, 0.11855057687171,
0.52714220921895, 0.47759151204224, -0.14687496867489,
0.68607574135496, 0.28465344118508, 0.57132493696771, 0.11365238375433,
-0.32111327299854, -0.076352560636185,
0.42669573845021, -0.1643996530281, -0.54881376863042,
-0.56551221465284, 0.4027156095588, -0.087880721039792,
-0.30211042220321, -0.47278547361731, 0.050137867251391,
0.46804387457884, -0.39450159355792, 0.55497099667426,
0.31255895138908, 0.034478918459459, -0.079232996020732,
0.39803160685016, 0.82281399721198, 0.24369695191021,
-0.5524321671417, 0.49350231710234, 0.52530668244467, 0.253625789825,
0.26218499242504, -0.20557247282514,
0.060763010271891, -0.023938406391206, 0.36557410300471,
0.55368747615095, 0.25557899769702, -0.70014279913759,
0.36398574324757, 0.049110464042478, -0.2428951164628,
-0.18733973495522, 0.020130805835303, 0.87784000694654,
-0.62385490124849, 0.020947599003133, -0.44548631925386,
-0.21069894502123, -0.60559127508405, 0.027809382425643,
0.51562840479369, -0.27416131751628, -0.14365580420426,
-0.46525735490594, 0.16338488557607, 0.62862302132303,
0.52085189275139, 0.51359303425374, 0.021844789421786,
0.53521775458267, -0.23767218281397, -0.34858599348565,
0.12263603513069, 0.53912951801629, 0.57550729534804,
-0.10335514143554, 0.57524709075397, 0.14662748040551,
0.40942178494947, 0.17197663954561, -0.025238012475873,
-0.20104824969996, -0.60303014654018, 0.63094779803243,
0.051685704973311, 0.23577798459204, -0.19154992327678,
-0.67743578708385, -0.51070301615526, 0.43047548181493,
0.21373839204543, -0.44348268823586, 0.34347986958921,
-0.49945694096162, 0.45888698118478, -0.42382317871053,
-0.60376535923059, -0.065300874745824, 0.49448067868339,
0.12358559784007, 0.58623743735263, -0.16656623971303,
0.44140930948322, -0.41692548571374, -0.23774988226818,
-0.27542786466885, 0.39264397083621, 0.58717642823542,
-0.67860697457746, 0.2070991391515, -0.12832398784247,
-0.58381216132288, 0.24050209342748, 0.2854077401022,
-0.021324501342617, 0.0098658783730532, 0.2694901128571,
0.42580554353158, -0.82903198308789, -0.24128534823695,
-0.20344882384938, 0.51719618805529, 0.24379623299129,
0.11303683173372, -0.46058654895958, -0.63777957124993,
0.15686479897897, -0.67777169905813, -0.04974608057712,
0.51313211803344, 0.49928667286231, -0.030863149692696,
0.53527130791104, -0.50102597915466, -0.60754472649714,
-0.25235098830686, 0.13490559284448, 0.10708155847142,
-0.20613512232544, 0.39533044356843, -0.34422306275706,
0.4792145528465, -0.19178040223502, -0.64521804411898,
0.3304779611047, 0.49148538926455, -0.30004348427342, 0.33473309391851,
0.31079743137844, 0.59208027276116,
-0.52688857216953, 0.40250311061529, 0.38833191043333,
0.50432308135853, -0.33327489215794, -0.21015252001231,
-0.30306420816123, -0.34460825415019, -0.26894228639121,
-0.58579646837355, -0.51178483212848, 0.33464319317466,
-0.20258582390514, -0.29195675136034, 0.11887973573086,
0.91211540292822, 0.034118810787236, -0.16269371903027,
0.61207678339522, -0.21883722070929, -0.23415725333464,
0.0041447691596985, -0.34019274152454, 0.6378827339521,
0.11272999861808, -0.54780877011146, -0.62497664375172,
-0.41373740141301, 0.33306010353229, 0.12039112788093,
0.24918468395037, -0.068734287809286, -0.42234580029763,
0.12235329631887, -0.26545138767734, 0.81815148205875,
0.32048708659406, -0.40233908147851, 0.24633289057781,
-0.37087758270512, -0.55466799718133, -0.47908728788262,
-0.33748729653627, -0.45507986822699, -0.50597645316527,
-0.2863701644881, -0.5404199724601, -0.22120318557996,
-0.23520314824941, 0.82195093398991, -0.22661283339659,
0.16382454786402, -0.41400232366734, -0.13959354720703,
-0.30495751902889, -0.47964557116121, -0.68490238495876,
-0.4324077675155, -0.13521732523742, -0.050887702629247,
-0.56629250538137, 0.19768903044, -0.080075220953828,
-0.29952637623112, 0.095974426142512, -0.73136356489112,
-0.21316607993139, 0.47585902758173, -0.49429850443227,
-0.24146904800157, 0.45631329089651, 0.46610972545109,
0.12647584748018, -0.10203700758813, 0.20801341293098,
0.66418891258418, -0.65219775460192, -0.2526141453282,
-0.69345279552921, 0.30149980453822, -0.46870940095961,
0.20092958919922, -0.21817920622376, 0.34721422759447,
-0.69001417476102, 0.09722776919634, -0.37852252163632,
-0.24995374433763, 0.24829304775112, 0.4970126640943,
-0.82278510972964, 0.050748830242865, -0.3934733016285,
0.00029980431140623, -0.34677214869339, -0.21301870187776,
-0.51821811089111, -0.22147302694699, 0.53524316281446,
0.12892242816244, -0.5543955478928, -0.26821451961648,
-0.21006612796354, 0.26079212570498, -0.021870637510645,
0.72402587064608, -0.27651658712238, 0.53544979218311,
-0.099744280251479, -0.4534212871731, 0.71954978543864,
-0.31082396323078, -0.26933824624449, 0.31233586755618,
-0.48121951222937, -0.43051247772929, -0.5038415181805,
0.12342710418307, 0.037467829082858, -0.55909965468017,
-0.51180831908824, -0.079955485578946, -0.53046702060975,
0.48748209854708, 0.16148937559829, -0.43191028009105,
-0.38131649706702, 0.46242477534251, 0.46416075424014,
-0.20634110277567, -0.53778490132009, 0.30582118902172,
0.6245043069106, 0.14316692963071, -0.1436103838143, 0.27519251589203,
-0.60467865310212, -0.35708047307373,
0.52425890739441, -0.20390682829262, -0.33609142609195,
0.51803372559413, 0.28921536255925, 0.46756035964091,
-0.4455164148456, 0.31831805515328, 0.24217750314789, 0.49821219078654,
-0.47209418708575, 0.41285649844363,
-0.015857310429397, -0.45214512052441, -0.14591363373753,
0.74070676188619, 0.0098874230592725, -0.47463489014478,
0.24260837156464, 0.44639366601915, 0.31528570191456, 0.45334773303464,
-0.47964168123625, -0.45484996397296,
0.47123463487178, 0.64525048646519, -0.064257637508608,
-0.18737730572971, -0.11735335340515, -0.55549853319118,
-0.025197229767488, -0.257963271803, 0.26277107860996,
-0.58236203161499, -0.41893538667715, 0.59086294196016,
-0.48940330017687, 0.33728563842186, -0.057634928591543,
0.44862021996899, -0.40048256377746, 0.53080564921806,
0.73350664260388, -0.021482988114587, 0.016568147533453,
0.0021905972927896, 0.49384961731337, 0.46619710394628,
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-0.5137200731924, -0.50673230867252, 0.32715252974108,
-0.26799714004956, -0.47616510509846, 0.27153195326233,
-0.47315177716491, -0.45711495983609, -0.31178280842352,
-0.51697763052226, -0.14302372043059, -0.42689944315384,
-0.050442035795027, 0.23609184251469, 0.38634880236106,
0.56012774305243, 0.38963669840218, -0.57174382424149,
-0.15472134925391, -0.15333579424307, -0.14189768300467,
0.032279269476252, -0.66054298438621, -0.70360180527557,
-0.10345191679557, -0.30503725808375, 0.31038263802383,
0.36878846502877, -0.76824774853417, 0.2714830658427,
-0.060212868606223, -0.4172755444983, 0.39199300681258,
-0.44040104260082, 0.24955102139032, -0.64215903203727,
0.25443195353315, -0.013789583113498, 0.44365000614699,
0.53296203342425, -0.55057750350733, -0.38867053403178,
-0.36068564301268, -0.65616661625162, -0.48495997865466,
0.24088316031012, -0.18080297655217, -0.33682435258394,
-0.53824550487673, -0.096728907851005, -0.5208619866167,
0.33195321221408, -0.032263947064791, 0.56427315050798,
0.40151657866643, -0.44825725748635, -0.54910020122855,
-0.095936272447708, 0.5719563905078, 0.00097783623607218,
0.21961099467771, 0.62823723408945, -0.010045934028323,
-0.6610564872634, -0.17161595423903, -0.30089924032373,
0.27961471530636, 0.054523395513076, 0.61485903249347,
0.11958885677663, -0.61032561244673, -0.39241856813031,
-0.30223065341134, -0.23605925177166, -0.09697276975263,
-0.46458104180761, -0.37853464945647, 0.69599203908657,
0.0023635513043496, 0.62702100484886, 0.49658954056984,
-0.20369645124455, -0.56457560315907, 0.00021299797811461,
-0.64198493892962, 0.59676262320476, 0.46274573284143,
0.088421912306785, 0.098029994490406, -0.012953072012707,
-0.053965435026011, 0.13439533803278, -0.33103493780685,
0.55991756423782, -0.58127599631056, -0.46696041830103,
-0.43965993689353, 0.07544961763381, 0.1509639518808,
-0.38868406689028, -0.0033436054452783, -0.79191533434483,
-0.21743914630025, -0.32019630124298, -0.56067107727615,
0.027284914419519, -0.49444926389798, -0.53908992599417,
-0.36492599248168, 0.52529904803377, 0.18002253442693,
0.14829474115897, 0.17212619314998, -0.71194315827942,
0.0051876209353066, 0.50490293404098, 0.24361032552454,
0.13688117617809, -0.61381291176911, -0.5386997104485,
0.66421180843392, 0.21833854629637, -0.087909936660014,
0.15624552502148, -0.68780724971724, 0.077015056461268,
0.52710630558705, -0.42143671471468, -0.069964559463205,
-0.24196341534187, -0.68814841622245, 0.08695091377684,
0.62392249806692, -0.23663281560035, -0.59058622185178,
0.22685863859977, -0.36683948058558, -0.14105848121323,
0.18069852004855, -0.083828559172887, 0.66240167877879,
0.16722813432165, -0.25503640214793, -0.65462662498637,
-0.37112528006203, 0.43100319401562, -0.11342774633614,
0.14418808646988, 0.5753326931164, 0.55842502411684,
0.55378724068611, 0.21098160548047, -0.3224976646632, 0.31268307369255,
-0.37624695517597, -0.55269271266764,
0.2601465870231, 0.56373458886982, -0.21638357910201, 0.41216916619413,
-0.25078072187299, -0.57873208070982,
0.11217864148346, 0.54196554704815, -0.31989128683717,
0.54691221598945, 0.24062434044524, 0.48409277788476,
0.087564423746579, -0.12083081671284, 0.69931172084498,
0.35220575672909, 0.28770484569954, -0.53091668762919,
0.3395702120398, 0.042520943289575, -0.30935928261896,
0.61022210846475, 0.54650816974112, 0.34079124619266,
0.32746112891934, 0.32095220193351, -0.61142534799442,
0.32197324480666, -0.38236071343678, 0.40749411210419,
0.58741915356593, -0.30916030490652, -0.57642977381104,
-0.038846190358607, 0.047926713761208, -0.4725265742377,
0.026224389898652, 0.031768907187292, -0.12510902263321,
0.36102734397001, -0.72217212865059, 0.57513252722531,
-0.27510374152496, -0.5153402145828, 0.025774022629799,
0.59201067073603, 0.40728366085253, -0.37645913420642,
-0.29983338495183, -0.61017291361195, -0.18551919513643,
0.50515945610161, 0.18206593801497, -0.46372136367049,
-0.64290893575119, -0.34887011406157, -0.55318606770362,
-0.21230198963112, -0.19828983785672, 0.2730419816548,
-0.32778879906348, -0.094317293167129, 0.57811170538439,
0.54346692190204, 0.17699503497579, -0.47197676839855,
-0.075738705663962, 0.53381750682665, -0.13406342524856,
0.71765386263773, 0.34271060834977, 0.24259408122628,
-0.30574273227855, 0.17419449782542, -0.78861555508124,
0.43305678368813, 0.064853328282818, 0.25003806266734,
0.4397035983709, -0.51651518914239, -0.3972346186176,
-0.34513492086703, 0.32129829777342, -0.39965829527563,
-0.25184899643619, -0.35937572373004, 0.15273239148905,
-0.51640931868766, 0.4218715745627, -0.58261460582976,
-0.57396000790758, 0.1912786199605, 0.45995634753032,
-0.43664716984512, 0.4601630113166, 0.14146310231856,
0.11500068018889, 0.05112652754666, -0.25672855859366,
-0.54715738035577, 0.67669928552409, 0.40118355777989,
-0.45252668004418, -0.40809988524453, -0.064931545867856,
0.19116562077283, 0.76523014995576, 0.048337406798767,
-0.080075651760374, 0.75305314115418, 0.34797424409913,
0.29104493928016, 0.0040185919664457, -0.46977598520425,
-0.3890257668276, 0.49100041230416, -0.17812126809985,
-0.43787557151231, -0.46923187878333, 0.40489108352503,
0.37433236324043, -0.29441766760791, -0.066285137006724,
0.33217472508825, 0.73917165688328, 0.33479099915638,
-0.02973230696179, -0.51371026289118, 0.34133522703692,
-0.41361792362786, -0.51561746819514, -0.4263412462482,
0.51057171220039, -0.23740201245544, 0.26673587003088, 0.5521767379032,
0.16849318602455, 0.52774964064755,
};
/**
* Used by {@link #noise(double, double, double, double, long)} to look up the vertices of the 4D triangle analogue.
*/
protected static final int[] SIMPLEX_4D = {0, 1, 3, 7, 0, 1, 7, 3,
0, 0, 0, 0, 0, 3, 7, 1, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 1, 3, 7, 0, 0, 3, 1, 7, 0, 0, 0, 0,
0, 7, 1, 3, 0, 7, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 1, 7, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 0, 7, 0, 0, 0, 0,
1, 7, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
3, 7, 0, 1, 3, 7, 1, 0, 1, 0, 3, 7, 1, 0, 7, 3,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 7, 1,
0, 0, 0, 0, 3, 1, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 1, 7, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 1, 3, 7, 0, 3, 1,
0, 0, 0, 0, 7, 1, 3, 0, 3, 1, 0, 7, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 7, 1, 0, 3, 0, 0, 0, 0,
7, 3, 0, 1, 7, 3, 1, 0};
protected static final double F2 = 0.36602540378443864676372317075294,
G2 = 0.21132486540518711774542560974902,
F3 = 1.0 / 3.0,
G3 = 1.0 / 6.0,
F4 = (Math.sqrt(5.0) - 1.0) * 0.25,
G4 = (5.0 - Math.sqrt(5.0)) * 0.05,
LIMIT4 = 0.62,
F6 = (Math.sqrt(7.0) - 1.0) / 6.0,
G6 = F6 / (1.0 + 6.0 * F6),
LIMIT6 = 0.8375
//LIMIT6 = 0.777
//LIMIT6 = 0.86
/*
sideLength = (float)Math.sqrt(6.0) / (6f * F6 + 1f),
a6 = (float)(Math.sqrt((sideLength * sideLength)
- ((sideLength * 0.5) * (sideLength * 0.5f)))),
cornerFace = (float)Math.sqrt(a6 * a6 + (a6 * 0.5) * (a6 * 0.5)),
cornerFaceSq = cornerFace * cornerFace,
valueScaler = 9.5f
*/
;
//Math.pow(5.0, -0.5) * (Math.pow(5.0, -3.5) * 100 + 13),
public static double noise(final double x, final double y, final long seed) {
final double s = (x + y) * F2;
final int i = fastFloor(x + s),
j = fastFloor(y + s);
final double t = (i + j) * G2,
X0 = i - t,
Y0 = j - t,
x0 = x - X0,
y0 = y - Y0;
int i1, j1;
if (x0 > y0) {
i1 = 1;
j1 = 0;
} else {
i1 = 0;
j1 = 1;
}
final double
x1 = x0 - i1 + G2,
y1 = y0 - j1 + G2,
x2 = x0 - 1 + 2 * G2,
y2 = y0 - 1 + 2 * G2;
double n = 0.0;
final int
gi0 = hash256(i, j, seed),
gi1 = hash256(i + i1, j + j1, seed),
gi2 = hash256(i + 1, j + 1, seed);
// Calculate the contribution from the three corners
double t0 = 0.75 - x0 * x0 - y0 * y0;
if (t0 > 0) {
t0 *= t0;
n += t0 * t0 * (phiGrad2[gi0][0] * x0 + phiGrad2[gi0][1] * y0);
// for 2D gradient
}
double t1 = 0.75 - x1 * x1 - y1 * y1;
if (t1 > 0) {
t1 *= t1;
n += t1 * t1 * (phiGrad2[gi1][0] * x1 + phiGrad2[gi1][1] * y1);
}
double t2 = 0.75 - x2 * x2 - y2 * y2;
if (t2 > 0) {
t2 *= t2;
n += t2 * t2 * (phiGrad2[gi2][0] * x2 + phiGrad2[gi2][1] * y2);
}
// Add contributions from each corner to get the final noise value.
// The result is scaled to return values in the interval [-1,1].
return 9.125 * (n);
// double n0, n1, n2;
// double t0 = 0.5 - x0 * x0 - y0 * y0;
// if (t0 < 0)
// n0 = 0;
// else {
// t0 *= t0;
// n0 = t0 * t0 * (x0 * gradient2DLUT[h0] + y0 * gradient2DLUT[h0 | 1]);
// }
// double t1 = 0.5 - x1 * x1 - y1 * y1;
// if (t1 < 0)
// n1 = 0;
// else {
// t1 *= t1;
// n1 = t1 * t1 * (x1 * gradient2DLUT[h1] + y1 * gradient2DLUT[h1 | 1]);
// }
// double t2 = 0.5 - x2 * x2 - y2 * y2;
// if (t2 < 0)
// n2 = 0;
// else {
// t2 *= t2;
// n2 = t2 * t2 * (x2 * gradient2DLUT[h2] + y2 * gradient2DLUT[h2 | 1]);
// }
// return (70 * (n0 + n1 + n2)) * 1.42188695 + 0.001054489;
}
public static double noise(final double x, final double y, final double z, final long seed) {
double n = 0.0;
final double s = (x + y + z) * F3;
final int i = fastFloor(x + s),
j = fastFloor(y + s),
k = fastFloor(z + s);
final double t = (i + j + k) * G3;
final double X0 = i - t, Y0 = j - t, Z0 = k - t,
x0 = x - X0, y0 = y - Y0, z0 = z - Z0;
int i1, j1, k1;
int i2, j2, k2;
if (x0 >= y0) {
if (y0 >= z0) {
i1 = 1;
j1 = 0;
k1 = 0;
i2 = 1;
j2 = 1;
k2 = 0;
} else if (x0 >= z0) {
i1 = 1;
j1 = 0;
k1 = 0;
i2 = 1;
j2 = 0;
k2 = 1;
} else {
i1 = 0;
j1 = 0;
k1 = 1;
i2 = 1;
j2 = 0;
k2 = 1;
}
} else {
if (y0 < z0) {
i1 = 0;
j1 = 0;
k1 = 1;
i2 = 0;
j2 = 1;
k2 = 1;
} else if (x0 < z0) {
i1 = 0;
j1 = 1;
k1 = 0;
i2 = 0;
j2 = 1;
k2 = 1;
} else {
i1 = 0;
j1 = 1;
k1 = 0;
i2 = 1;
j2 = 1;
k2 = 0;
}
}
double x1 = x0 - i1 + G3; // Offsets for second corner in (x,y,z) coords
double y1 = y0 - j1 + G3;
double z1 = z0 - k1 + G3;
double x2 = x0 - i2 + F3; // Offsets for third corner in (x,y,z) coords
double y2 = y0 - j2 + F3;
double z2 = z0 - k2 + F3;
double x3 = x0 - 0.5; // Offsets for last corner in (x,y,z) coords
double y3 = y0 - 0.5;
double z3 = z0 - 0.5;
// Calculate the contribution from the four corners
double t0 = 0.6 - x0 * x0 - y0 * y0 - z0 * z0;
if (t0 > 0) {
t0 *= t0;
n += t0 * t0 * gradCoord3D(seed, i, j, k, x0, y0, z0);
}
double t1 = 0.6 - x1 * x1 - y1 * y1 - z1 * z1;
if (t1 > 0) {
t1 *= t1;
n += t1 * t1 * gradCoord3D(seed, i + i1, j + j1, k + k1, x1, y1, z1);
}
double t2 = 0.6 - x2 * x2 - y2 * y2 - z2 * z2;
if (t2 > 0) {
t2 *= t2;
n += t2 * t2 * gradCoord3D(seed, i + i2, j + j2, k + k2, x2, y2, z2);
}
double t3 = 0.6 - x3 * x3 - y3 * y3 - z3 * z3;
if (t3 > 0) {
t3 *= t3;
n += t3 * t3 * gradCoord3D(seed, i + 1, j + 1, k + 1, x3, y3, z3);
}
// Add contributions from each corner to get the final noise value.
// The result is scaled to stay just inside [-1,1]
return 31.5 * n;
//return (32.0 * n) * 1.25086885 + 0.0003194984;
}
public static double noise(final double x, final double y, final double z, final double w, final long seed) {
double n = 0.0;
final double s = (x + y + z + w) * F4;
final int i = fastFloor(x + s), j = fastFloor(y + s), k = fastFloor(z + s), l = fastFloor(w + s);
final double[] gradient4DLUT = grad4d;
final double t = (i + j + k + l) * G4,
X0 = i - t,
Y0 = j - t,
Z0 = k - t,
W0 = l - t,
x0 = x - X0,
y0 = y - Y0,
z0 = z - Z0,
w0 = w - W0;
final int c = (x0 > y0 ? 128 : 0) | (x0 > z0 ? 64 : 0) | (y0 > z0 ? 32 : 0) | (x0 > w0 ? 16 : 0) | (y0 > w0 ? 8 : 0) | (z0 > w0 ? 4 : 0);
final int i1 = SIMPLEX_4D[c] >>> 2,
j1 = SIMPLEX_4D[c | 1] >>> 2,
k1 = SIMPLEX_4D[c | 2] >>> 2,
l1 = SIMPLEX_4D[c | 3] >>> 2,
i2 = SIMPLEX_4D[c] >>> 1 & 1,
j2 = SIMPLEX_4D[c | 1] >>> 1 & 1,
k2 = SIMPLEX_4D[c | 2] >>> 1 & 1,
l2 = SIMPLEX_4D[c | 3] >>> 1 & 1,
i3 = SIMPLEX_4D[c] & 1,
j3 = SIMPLEX_4D[c | 1] & 1,
k3 = SIMPLEX_4D[c | 2] & 1,
l3 = SIMPLEX_4D[c | 3] & 1;
final double x1 = x0 - i1 + G4,
y1 = y0 - j1 + G4,
z1 = z0 - k1 + G4,
w1 = w0 - l1 + G4,
x2 = x0 - i2 + 2 * G4,
y2 = y0 - j2 + 2 * G4,
z2 = z0 - k2 + 2 * G4,
w2 = w0 - l2 + 2 * G4,
x3 = x0 - i3 + 3 * G4,
y3 = y0 - j3 + 3 * G4,
z3 = z0 - k3 + 3 * G4,
w3 = w0 - l3 + 3 * G4,
x4 = x0 - 1 + 4 * G4,
y4 = y0 - 1 + 4 * G4,
z4 = z0 - 1 + 4 * G4,
w4 = w0 - 1 + 4 * G4;
final int h0 = (hash256(i, j, k, l, seed) & 0xFC),
h1 = (hash256(i + i1, j + j1, k + k1, l + l1, seed) & 0xFC),
h2 = (hash256(i + i2, j + j2, k + k2, l + l2, seed) & 0xFC),
h3 = (hash256(i + i3, j + j3, k + k3, l + l3, seed) & 0xFC),
h4 = (hash256(i + 1, j + 1, k + 1, l + 1, seed) & 0xFC);
double t0 = LIMIT4 - x0 * x0 - y0 * y0 - z0 * z0 - w0 * w0;
if(t0 > 0) {
t0 *= t0;
n += t0 * t0 * (x0 * gradient4DLUT[h0] + y0 * gradient4DLUT[h0 | 1] + z0 * gradient4DLUT[h0 | 2] + w0 * gradient4DLUT[h0 | 3]);
}
double t1 = LIMIT4 - x1 * x1 - y1 * y1 - z1 * z1 - w1 * w1;
if (t1 > 0) {
t1 *= t1;
n += t1 * t1 * (x1 * gradient4DLUT[h1] + y1 * gradient4DLUT[h1 | 1] + z1 * gradient4DLUT[h1 | 2] + w1 * gradient4DLUT[h1 | 3]);
}
double t2 = LIMIT4 - x2 * x2 - y2 * y2 - z2 * z2 - w2 * w2;
if (t2 > 0) {
t2 *= t2;
n += t2 * t2 * (x2 * gradient4DLUT[h2] + y2 * gradient4DLUT[h2 | 1] + z2 * gradient4DLUT[h2 | 2] + w2 * gradient4DLUT[h2 | 3]);
}
double t3 = LIMIT4 - x3 * x3 - y3 * y3 - z3 * z3 - w3 * w3;
if (t3 > 0) {
t3 *= t3;
n += t3 * t3 * (x3 * gradient4DLUT[h3] + y3 * gradient4DLUT[h3 | 1] + z3 * gradient4DLUT[h3 | 2] + w3 * gradient4DLUT[h3 | 3]);
}
double t4 = LIMIT4 - x4 * x4 - y4 * y4 - z4 * z4 - w4 * w4;
if (t4 > 0) {
t4 *= t4;
n += t4 * t4 * (x4 * gradient4DLUT[h4] + y4 * gradient4DLUT[h4 | 1] + z4 * gradient4DLUT[h4 | 2] + w4 * gradient4DLUT[h4 | 3]);
}
//return NumberTools.bounce(5.0 + 41.0 * n);
return 14.75 * n;
}
private static final double[] mShared = {0, 0, 0, 0, 0, 0}, cellDistShared = {0, 0, 0, 0, 0, 0};
private static final int[] distOrderShared = {0, 0, 0, 0, 0, 0}, intLocShared = {0, 0, 0, 0, 0, 0};
public static double noise(final double x, final double y, final double z,
final double w, final double u, final double v, final long seed) {
final double s = (x + y + z + w + u + v) * F6;
final int skewX = fastFloor(x + s), skewY = fastFloor(y + s), skewZ = fastFloor(z + s),
skewW = fastFloor(w + s), skewU = fastFloor(u + s), skewV = fastFloor(v + s);
final double[] m = mShared, cellDist = cellDistShared, gradient6DLUT = SeededNoise.gradient6DLUT;
final int[] distOrder = distOrderShared,
intLoc = intLocShared;
intLoc[0] = skewX;
intLoc[1] = skewY;
intLoc[2] = skewZ;
intLoc[3] = skewW;
intLoc[4] = skewU;
intLoc[5] = skewV;
final double unskew = (skewX + skewY + skewZ + skewW + skewU + skewV) * G6;
cellDist[0] = x - skewX + unskew;
cellDist[1] = y - skewY + unskew;
cellDist[2] = z - skewZ + unskew;
cellDist[3] = w - skewW + unskew;
cellDist[4] = u - skewU + unskew;
cellDist[5] = v - skewV + unskew;
int o0 = (cellDist[0] 0) {
final int h = hash256(intLoc[0], intLoc[1], intLoc[2], intLoc[3],
intLoc[4], intLoc[5], seed) * 6;
final double gr = gradient6DLUT[h] * m[0] + gradient6DLUT[h + 1] * m[1]
+ gradient6DLUT[h + 2] * m[2] + gradient6DLUT[h + 3] * m[3]
+ gradient6DLUT[h + 4] * m[4] + gradient6DLUT[h + 5] * m[5];
tc *= tc;
n += gr * tc * tc;
}
skewOffset += G6;
}
return 7.5 * n;
}
}