Add 2d version of gradientPerturb
This commit is contained in:
Edwin Jakobs
28
orx-noise/src/demo/kotlin/DemoGradientPerturb2D.kt
Normal file
28
orx-noise/src/demo/kotlin/DemoGradientPerturb2D.kt
Normal file
@@ -0,0 +1,28 @@
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import org.openrndr.application
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import org.openrndr.color.ColorRGBa
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import org.openrndr.draw.colorBuffer
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import org.openrndr.extra.noise.gradientPerturbFractal
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import org.openrndr.extra.noise.simplex
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import org.openrndr.math.Vector2
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import org.openrndr.math.Vector3
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import kotlin.math.absoluteValue
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fun main() {
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application {
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program {
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val cb = colorBuffer(width, height)
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val shad = cb.shadow
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extend {
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for (y in 0 until height) {
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for (x in 0 until width) {
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val p = gradientPerturbFractal(300, frequency = 0.8, position = Vector2(seconds + x/320.0,y/240.0))
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val d = simplex(300, p.x, p.y+seconds, seconds).absoluteValue
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shad[x, y] = ColorRGBa(d, d, d, 1.0)
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}
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}
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shad.upload()
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drawer.image(cb)
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}
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}
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}
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}
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@@ -1,7 +1,42 @@
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package org.openrndr.extra.noise
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import org.openrndr.math.Vector2
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import org.openrndr.math.Vector3
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val Cell2D = arrayOf(
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Vector2(-0.4313539279, 0.1281943404), Vector2(-0.1733316799, 0.415278375), Vector2(-0.2821957395, -0.3505218461), Vector2(-0.2806473808, 0.3517627718), Vector2(0.3125508975, -0.3237467165), Vector2(0.3383018443, -0.2967353402), Vector2(-0.4393982022, -0.09710417025), Vector2(-0.4460443703, -0.05953502905),
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Vector2(-0.302223039, 0.3334085102), Vector2(-0.212681052, -0.3965687458), Vector2(-0.2991156529, 0.3361990872), Vector2(0.2293323691, 0.3871778202), Vector2(0.4475439151, -0.04695150755), Vector2(0.1777518, 0.41340573), Vector2(0.1688522499, -0.4171197882), Vector2(-0.0976597166, 0.4392750616),
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Vector2(0.08450188373, 0.4419948321), Vector2(-0.4098760448, -0.1857461384), Vector2(0.3476585782, -0.2857157906), Vector2(-0.3350670039, -0.30038326), Vector2(0.2298190031, -0.3868891648), Vector2(-0.01069924099, 0.449872789), Vector2(-0.4460141246, -0.05976119672), Vector2(0.3650293864, 0.2631606867),
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Vector2(-0.349479423, 0.2834856838), Vector2(-0.4122720642, 0.1803655873), Vector2(-0.267327811, 0.3619887311), Vector2(0.322124041, -0.3142230135), Vector2(0.2880445931, -0.3457315612), Vector2(0.3892170926, -0.2258540565), Vector2(0.4492085018, -0.02667811596), Vector2(-0.4497724772, 0.01430799601),
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Vector2(0.1278175387, -0.4314657307), Vector2(-0.03572100503, 0.4485799926), Vector2(-0.4297407068, -0.1335025276), Vector2(-0.3217817723, 0.3145735065), Vector2(-0.3057158873, 0.3302087162), Vector2(-0.414503978, 0.1751754899), Vector2(-0.3738139881, 0.2505256519), Vector2(0.2236891408, -0.3904653228),
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Vector2(0.002967775577, -0.4499902136), Vector2(0.1747128327, -0.4146991995), Vector2(-0.4423772489, -0.08247647938), Vector2(-0.2763960987, -0.355112935), Vector2(-0.4019385906, -0.2023496216), Vector2(0.3871414161, -0.2293938184), Vector2(-0.430008727, 0.1326367019), Vector2(-0.03037574274, -0.4489736231),
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Vector2(-0.3486181573, 0.2845441624), Vector2(0.04553517144, -0.4476902368), Vector2(-0.0375802926, 0.4484280562), Vector2(0.3266408905, 0.3095250049), Vector2(0.06540017593, -0.4452222108), Vector2(0.03409025829, 0.448706869), Vector2(-0.4449193635, 0.06742966669), Vector2(-0.4255936157, -0.1461850686),
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Vector2(0.449917292, 0.008627302568), Vector2(0.05242606404, 0.4469356864), Vector2(-0.4495305179, -0.02055026661), Vector2(-0.1204775703, 0.4335725488), Vector2(-0.341986385, -0.2924813028), Vector2(0.3865320182, 0.2304191809), Vector2(0.04506097811, -0.447738214), Vector2(-0.06283465979, 0.4455915232),
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Vector2(0.3932600341, -0.2187385324), Vector2(0.4472261803, -0.04988730975), Vector2(0.3753571011, -0.2482076684), Vector2(-0.273662295, 0.357223947), Vector2(0.1700461538, 0.4166344988), Vector2(0.4102692229, 0.1848760794), Vector2(0.323227187, -0.3130881435), Vector2(-0.2882310238, -0.3455761521),
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Vector2(0.2050972664, 0.4005435199), Vector2(0.4414085979, -0.08751256895), Vector2(-0.1684700334, 0.4172743077), Vector2(-0.003978032396, 0.4499824166), Vector2(-0.2055133639, 0.4003301853), Vector2(-0.006095674897, -0.4499587123), Vector2(-0.1196228124, -0.4338091548), Vector2(0.3901528491, -0.2242337048),
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Vector2(0.01723531752, 0.4496698165), Vector2(-0.3015070339, 0.3340561458), Vector2(-0.01514262423, -0.4497451511), Vector2(-0.4142574071, -0.1757577897), Vector2(-0.1916377265, -0.4071547394), Vector2(0.3749248747, 0.2488600778), Vector2(-0.2237774255, 0.3904147331), Vector2(-0.4166343106, -0.1700466149),
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Vector2(0.3619171625, 0.267424695), Vector2(0.1891126846, -0.4083336779), Vector2(-0.3127425077, 0.323561623), Vector2(-0.3281807787, 0.307891826), Vector2(-0.2294806661, 0.3870899429), Vector2(-0.3445266136, 0.2894847362), Vector2(-0.4167095422, -0.1698621719), Vector2(-0.257890321, -0.3687717212),
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Vector2(-0.3612037825, 0.2683874578), Vector2(0.2267996491, 0.3886668486), Vector2(0.207157062, 0.3994821043), Vector2(0.08355176718, -0.4421754202), Vector2(-0.4312233307, 0.1286329626), Vector2(0.3257055497, 0.3105090899), Vector2(0.177701095, -0.4134275279), Vector2(-0.445182522, 0.06566979625),
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Vector2(0.3955143435, 0.2146355146), Vector2(-0.4264613988, 0.1436338239), Vector2(-0.3793799665, -0.2420141339), Vector2(0.04617599081, -0.4476245948), Vector2(-0.371405428, -0.2540826796), Vector2(0.2563570295, -0.3698392535), Vector2(0.03476646309, 0.4486549822), Vector2(-0.3065454405, 0.3294387544),
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Vector2(-0.2256979823, 0.3893076172), Vector2(0.4116448463, -0.1817925206), Vector2(-0.2907745828, -0.3434387019), Vector2(0.2842278468, -0.348876097), Vector2(0.3114589359, -0.3247973695), Vector2(0.4464155859, -0.0566844308), Vector2(-0.3037334033, -0.3320331606), Vector2(0.4079607166, 0.1899159123),
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Vector2(-0.3486948919, -0.2844501228), Vector2(0.3264821436, 0.3096924441), Vector2(0.3211142406, 0.3152548881), Vector2(0.01183382662, 0.4498443737), Vector2(0.4333844092, 0.1211526057), Vector2(0.3118668416, 0.324405723), Vector2(-0.272753471, 0.3579183483), Vector2(-0.422228622, -0.1556373694),
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Vector2(-0.1009700099, -0.4385260051), Vector2(-0.2741171231, -0.3568750521), Vector2(-0.1465125133, 0.4254810025), Vector2(0.2302279044, -0.3866459777), Vector2(-0.3699435608, 0.2562064828), Vector2(0.105700352, -0.4374099171), Vector2(-0.2646713633, 0.3639355292), Vector2(0.3521828122, 0.2801200935),
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Vector2(-0.1864187807, -0.4095705534), Vector2(0.1994492955, -0.4033856449), Vector2(0.3937065066, 0.2179339044), Vector2(-0.3226158377, 0.3137180602), Vector2(0.3796235338, 0.2416318948), Vector2(0.1482921929, 0.4248640083), Vector2(-0.407400394, 0.1911149365), Vector2(0.4212853031, 0.1581729856),
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Vector2(-0.2621297173, 0.3657704353), Vector2(-0.2536986953, -0.3716678248), Vector2(-0.2100236383, 0.3979825013), Vector2(0.3624152444, 0.2667493029), Vector2(-0.3645038479, -0.2638881295), Vector2(0.2318486784, 0.3856762766), Vector2(-0.3260457004, 0.3101519002), Vector2(-0.2130045332, -0.3963950918),
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Vector2(0.3814998766, -0.2386584257), Vector2(-0.342977305, 0.2913186713), Vector2(-0.4355865605, 0.1129794154), Vector2(-0.2104679605, 0.3977477059), Vector2(0.3348364681, -0.3006402163), Vector2(0.3430468811, 0.2912367377), Vector2(-0.2291836801, -0.3872658529), Vector2(0.2547707298, -0.3709337882),
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Vector2(0.4236174945, -0.151816397), Vector2(-0.15387742, 0.4228731957), Vector2(-0.4407449312, 0.09079595574), Vector2(-0.06805276192, -0.444824484), Vector2(0.4453517192, -0.06451237284), Vector2(0.2562464609, -0.3699158705), Vector2(0.3278198355, -0.3082761026), Vector2(-0.4122774207, -0.1803533432),
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Vector2(0.3354090914, -0.3000012356), Vector2(0.446632869, -0.05494615882), Vector2(-0.1608953296, 0.4202531296), Vector2(-0.09463954939, 0.4399356268), Vector2(-0.02637688324, -0.4492262904), Vector2(0.447102804, -0.05098119915), Vector2(-0.4365670908, 0.1091291678), Vector2(-0.3959858651, 0.2137643437),
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Vector2(-0.4240048207, -0.1507312575), Vector2(-0.3882794568, 0.2274622243), Vector2(-0.4283652566, -0.1378521198), Vector2(0.3303888091, 0.305521251), Vector2(0.3321434919, -0.3036127481), Vector2(-0.413021046, -0.1786438231), Vector2(0.08403060337, -0.4420846725), Vector2(-0.3822882919, 0.2373934748),
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Vector2(-0.3712395594, -0.2543249683), Vector2(0.4472363971, -0.04979563372), Vector2(-0.4466591209, 0.05473234629), Vector2(0.0486272539, -0.4473649407), Vector2(-0.4203101295, -0.1607463688), Vector2(0.2205360833, 0.39225481), Vector2(-0.3624900666, 0.2666476169), Vector2(-0.4036086833, -0.1989975647),
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Vector2(0.2152727807, 0.3951678503), Vector2(-0.4359392962, -0.1116106179), Vector2(0.4178354266, 0.1670735057), Vector2(0.2007630161, 0.4027334247), Vector2(-0.07278067175, -0.4440754146), Vector2(0.3644748615, -0.2639281632), Vector2(-0.4317451775, 0.126870413), Vector2(-0.297436456, 0.3376855855),
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Vector2(-0.2998672222, 0.3355289094), Vector2(-0.2673674124, 0.3619594822), Vector2(0.2808423357, 0.3516071423), Vector2(0.3498946567, 0.2829730186), Vector2(-0.2229685561, 0.390877248), Vector2(0.3305823267, 0.3053118493), Vector2(-0.2436681211, -0.3783197679), Vector2(-0.03402776529, 0.4487116125),
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Vector2(-0.319358823, 0.3170330301), Vector2(0.4454633477, -0.06373700535), Vector2(0.4483504221, 0.03849544189), Vector2(-0.4427358436, -0.08052932871), Vector2(0.05452298565, 0.4466847255), Vector2(-0.2812560807, 0.3512762688), Vector2(0.1266696921, 0.4318041097), Vector2(-0.3735981243, 0.2508474468),
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Vector2(0.2959708351, -0.3389708908), Vector2(-0.3714377181, 0.254035473), Vector2(-0.404467102, -0.1972469604), Vector2(0.1636165687, -0.419201167), Vector2(0.3289185495, -0.3071035458), Vector2(-0.2494824991, -0.3745109914), Vector2(0.03283133272, 0.4488007393), Vector2(-0.166306057, -0.4181414777),
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Vector2(-0.106833179, 0.4371346153), Vector2(0.06440260376, -0.4453676062), Vector2(-0.4483230967, 0.03881238203), Vector2(-0.421377757, -0.1579265206), Vector2(0.05097920662, -0.4471030312), Vector2(0.2050584153, -0.4005634111), Vector2(0.4178098529, -0.167137449), Vector2(-0.3565189504, -0.2745801121),
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Vector2(0.4478398129, 0.04403977727), Vector2(-0.3399999602, -0.2947881053), Vector2(0.3767121994, 0.2461461331), Vector2(-0.3138934434, 0.3224451987), Vector2(-0.1462001792, -0.4255884251), Vector2(0.3970290489, -0.2118205239), Vector2(0.4459149305, -0.06049689889), Vector2(-0.4104889426, -0.1843877112),
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Vector2(0.1475103971, -0.4251360756), Vector2(0.09258030352, 0.4403735771), Vector2(-0.1589664637, -0.4209865359), Vector2(0.2482445008, 0.3753327428), Vector2(0.4383624232, -0.1016778537), Vector2(0.06242802956, 0.4456486745), Vector2(0.2846591015, -0.3485243118), Vector2(-0.344202744, -0.2898697484),
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Vector2(0.1198188883, -0.4337550392), Vector2(-0.243590703, 0.3783696201), Vector2(0.2958191174, -0.3391033025), Vector2(-0.1164007991, 0.4346847754), Vector2(0.1274037151, -0.4315881062), Vector2(0.368047306, 0.2589231171), Vector2(0.2451436949, 0.3773652989), Vector2(-0.4314509715, 0.12786735))
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val Cell3D = arrayOf(
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Vector3(0.1453787434, -0.4149781685, -0.0956981749), Vector3(-0.01242829687, -0.1457918398, -0.4255470325), Vector3(0.2877979582, -0.02606483451, -0.3449535616), Vector3(-0.07732986802, 0.2377094325, 0.3741848704), Vector3(0.1107205875, -0.3552302079, -0.2530858567), Vector3(0.2755209141, 0.2640521179, -0.238463215), Vector3(0.294168941, 0.1526064594, 0.3044271714), Vector3(0.4000921098, -0.2034056362, 0.03244149937),
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Vector3(-0.1697304074, 0.3970864695, -0.1265461359), Vector3(-0.1483224484, -0.3859694688, 0.1775613147), Vector3(0.2623596946, -0.2354852944, 0.2796677792), Vector3(-0.2709003183, 0.3505271138, -0.07901746678), Vector3(-0.03516550699, 0.3885234328, 0.2243054374), Vector3(-0.1267712655, 0.1920044036, 0.3867342179), Vector3(0.02952021915, 0.4409685861, 0.08470692262), Vector3(-0.2806854217, -0.266996757, 0.2289725438),
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@@ -1,5 +1,6 @@
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package org.openrndr.extra.noise
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import org.openrndr.math.Vector2
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import org.openrndr.math.Vector3
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import org.openrndr.math.mix
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@@ -8,15 +9,15 @@ fun gradientPerturbFractal(seed: Int, amplitude: Double = 1.0, frequency: Double
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octaves: Int = 4, position: Vector3, interpolator: (Double) -> Double = ::quintic): Vector3 {
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var seed_ = seed
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var amp_ = amplitude
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var amplitude_ = amplitude
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var frequency_ = frequency
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var p = gradientPerturb(seed_, amp_, frequency_, position, interpolator)
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var p = gradientPerturb(seed_, amplitude_, frequency_, position, interpolator)
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for (i in 0 until octaves) {
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frequency_ *= lacunarity
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amp_ *= gain
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amplitude_ *= gain
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seed_++
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p = gradientPerturb(seed_, amp_, frequency_, p, interpolator)
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p = gradientPerturb(seed_, amplitude_, frequency_, p, interpolator)
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}
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return p
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}
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@@ -75,3 +76,51 @@ fun gradientPerturb(seed: Int, amplitude: Double, frequency: Double, position: V
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mix(lz0y, mix(lz0x, lz1x, ys), zs)
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) * amplitude
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}
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fun gradientPerturbFractal(seed: Int, amplitude: Double = 1.0, frequency: Double = 2.0,
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lacunarity: Double = 2.0, gain: Double = 0.5,
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octaves: Int = 4, position: Vector2, interpolator: (Double) -> Double = ::quintic): Vector2 {
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var seed_ = seed
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var amplitude_ = amplitude
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var frequency_ = frequency
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var p = gradientPerturb(seed_, amplitude_, frequency_, position, interpolator)
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for (i in 0 until octaves) {
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frequency_ *= lacunarity
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amplitude_ *= gain
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seed_++
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p = gradientPerturb(seed_, amplitude_, frequency_, p, interpolator)
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}
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return p
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}
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fun gradientPerturb(seed: Int, amplitude: Double, frequency: Double, position: Vector2, interpolator: (Double) -> Double = ::quintic): Vector2 {
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val xf = position.x * frequency
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val yf = position.y * frequency
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val x0 = xf.fastFloor()
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val y0 = yf.fastFloor()
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val x1 = x0 + 1
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val y1 = y0 + 1
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val xs = interpolator(xf - x0)
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val ys = interpolator(yf - y0)
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var vec0 = Cell2D[hash2D(seed, x0, y0) and 0xff]
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var vec1 = Cell2D[hash2D(seed, x1, y0) and 0xff]
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val lx0x = mix(vec0.x, vec1.x, xs)
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val ly0x = mix(vec0.y, vec1.y, xs)
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vec0 = Cell2D[hash2D(seed, x0, y1) and 0xff]
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vec1 = Cell2D[hash2D(seed, x1, y1) and 0xff]
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val lx1x = mix(vec0.x, vec1.x, xs)
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val ly1x = mix(vec0.y, vec1.y, xs)
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return position + Vector2(
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mix(lx0x, lx1x, ys),
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mix(ly0x, ly1x, ys)
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) * amplitude
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}
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