forked from ricardojmendez/LibNoise.Unity
-
Notifications
You must be signed in to change notification settings - Fork 0
/
Utils.cs
executable file
·286 lines (268 loc) · 16.3 KB
/
Utils.cs
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
using System;
namespace LibNoise
{
internal static class Utils
{
#region Constants
internal const double Sqrt3 = 1.7320508075688772935;
internal const int OctavesMaximum = 30;
#if NOISE_VERSION_1
private const int GeneratorNoiseX = 1;
private const int GeneratorNoiseY = 31337;
private const int GeneratorNoiseZ = 263;
private const int GeneratorSeed = 1013;
private const int GeneratorShift = 13;
#else
private const int GeneratorNoiseX = 1619;
private const int GeneratorNoiseY = 31337;
private const int GeneratorNoiseZ = 6971;
private const int GeneratorSeed = 1013;
private const int GeneratorShift = 8;
#endif
#endregion
#region Fields
internal static readonly double[] Randoms =
{
-0.763874, -0.596439, -0.246489, 0.0, 0.396055, 0.904518, -0.158073, 0.0,
-0.499004, -0.8665, -0.0131631, 0.0, 0.468724, -0.824756, 0.316346, 0.0,
0.829598, 0.43195, 0.353816, 0.0, -0.454473, 0.629497, -0.630228, 0.0,
-0.162349, -0.869962, -0.465628, 0.0, 0.932805, 0.253451, 0.256198, 0.0,
-0.345419, 0.927299, -0.144227, 0.0, -0.715026, -0.293698, -0.634413, 0.0,
-0.245997, 0.717467, -0.651711, 0.0, -0.967409, -0.250435, -0.037451, 0.0,
0.901729, 0.397108, -0.170852, 0.0, 0.892657, -0.0720622, -0.444938, 0.0,
0.0260084, -0.0361701, 0.999007, 0.0, 0.949107, -0.19486, 0.247439, 0.0,
0.471803, -0.807064, -0.355036, 0.0, 0.879737, 0.141845, 0.453809, 0.0,
0.570747, 0.696415, 0.435033, 0.0, -0.141751, -0.988233, -0.0574584, 0.0,
-0.58219, -0.0303005, 0.812488, 0.0, -0.60922, 0.239482, -0.755975, 0.0,
0.299394, -0.197066, -0.933557, 0.0, -0.851615, -0.220702, -0.47544, 0.0,
0.848886, 0.341829, -0.403169, 0.0, -0.156129, -0.687241, 0.709453, 0.0,
-0.665651, 0.626724, 0.405124, 0.0, 0.595914, -0.674582, 0.43569, 0.0,
0.171025, -0.509292, 0.843428, 0.0, 0.78605, 0.536414, -0.307222, 0.0,
0.18905, -0.791613, 0.581042, 0.0, -0.294916, 0.844994, 0.446105, 0.0,
0.342031, -0.58736, -0.7335, 0.0, 0.57155, 0.7869, 0.232635, 0.0,
0.885026, -0.408223, 0.223791, 0.0, -0.789518, 0.571645, 0.223347, 0.0,
0.774571, 0.31566, 0.548087, 0.0, -0.79695, -0.0433603, -0.602487, 0.0,
-0.142425, -0.473249, -0.869339, 0.0, -0.0698838, 0.170442, 0.982886, 0.0,
0.687815, -0.484748, 0.540306, 0.0, 0.543703, -0.534446, -0.647112, 0.0,
0.97186, 0.184391, -0.146588, 0.0, 0.707084, 0.485713, -0.513921, 0.0,
0.942302, 0.331945, 0.043348, 0.0, 0.499084, 0.599922, 0.625307, 0.0,
-0.289203, 0.211107, 0.9337, 0.0, 0.412433, -0.71667, -0.56239, 0.0,
0.87721, -0.082816, 0.47291, 0.0, -0.420685, -0.214278, 0.881538, 0.0,
0.752558, -0.0391579, 0.657361, 0.0, 0.0765725, -0.996789, 0.0234082, 0.0,
-0.544312, -0.309435, -0.779727, 0.0, -0.455358, -0.415572, 0.787368, 0.0,
-0.874586, 0.483746, 0.0330131, 0.0, 0.245172, -0.0838623, 0.965846, 0.0,
0.382293, -0.432813, 0.81641, 0.0, -0.287735, -0.905514, 0.311853, 0.0,
-0.667704, 0.704955, -0.239186, 0.0, 0.717885, -0.464002, -0.518983, 0.0,
0.976342, -0.214895, 0.0240053, 0.0, -0.0733096, -0.921136, 0.382276, 0.0,
-0.986284, 0.151224, -0.0661379, 0.0, -0.899319, -0.429671, 0.0812908, 0.0,
0.652102, -0.724625, 0.222893, 0.0, 0.203761, 0.458023, -0.865272, 0.0,
-0.030396, 0.698724, -0.714745, 0.0, -0.460232, 0.839138, 0.289887, 0.0,
-0.0898602, 0.837894, 0.538386, 0.0, -0.731595, 0.0793784, 0.677102, 0.0,
-0.447236, -0.788397, 0.422386, 0.0, 0.186481, 0.645855, -0.740335, 0.0,
-0.259006, 0.935463, 0.240467, 0.0, 0.445839, 0.819655, -0.359712, 0.0,
0.349962, 0.755022, -0.554499, 0.0, -0.997078, -0.0359577, 0.0673977, 0.0,
-0.431163, -0.147516, -0.890133, 0.0, 0.299648, -0.63914, 0.708316, 0.0,
0.397043, 0.566526, -0.722084, 0.0, -0.502489, 0.438308, -0.745246, 0.0,
0.0687235, 0.354097, 0.93268, 0.0, -0.0476651, -0.462597, 0.885286, 0.0,
-0.221934, 0.900739, -0.373383, 0.0, -0.956107, -0.225676, 0.186893, 0.0,
-0.187627, 0.391487, -0.900852, 0.0, -0.224209, -0.315405, 0.92209, 0.0,
-0.730807, -0.537068, 0.421283, 0.0, -0.0353135, -0.816748, 0.575913, 0.0,
-0.941391, 0.176991, -0.287153, 0.0, -0.154174, 0.390458, 0.90762, 0.0,
-0.283847, 0.533842, 0.796519, 0.0, -0.482737, -0.850448, 0.209052, 0.0,
-0.649175, 0.477748, 0.591886, 0.0, 0.885373, -0.405387, -0.227543, 0.0,
-0.147261, 0.181623, -0.972279, 0.0, 0.0959236, -0.115847, -0.988624, 0.0,
-0.89724, -0.191348, 0.397928, 0.0, 0.903553, -0.428461, -0.00350461, 0.0,
0.849072, -0.295807, -0.437693, 0.0, 0.65551, 0.741754, -0.141804, 0.0,
0.61598, -0.178669, 0.767232, 0.0, 0.0112967, 0.932256, -0.361623, 0.0,
-0.793031, 0.258012, 0.551845, 0.0, 0.421933, 0.454311, 0.784585, 0.0,
-0.319993, 0.0401618, -0.946568, 0.0, -0.81571, 0.551307, -0.175151, 0.0,
-0.377644, 0.00322313, 0.925945, 0.0, 0.129759, -0.666581, -0.734052, 0.0,
0.601901, -0.654237, -0.457919, 0.0, -0.927463, -0.0343576, -0.372334, 0.0,
-0.438663, -0.868301, -0.231578, 0.0, -0.648845, -0.749138, -0.133387, 0.0,
0.507393, -0.588294, 0.629653, 0.0, 0.726958, 0.623665, 0.287358, 0.0,
0.411159, 0.367614, -0.834151, 0.0, 0.806333, 0.585117, -0.0864016, 0.0,
0.263935, -0.880876, 0.392932, 0.0, 0.421546, -0.201336, 0.884174, 0.0,
-0.683198, -0.569557, -0.456996, 0.0, -0.117116, -0.0406654, -0.992285, 0.0,
-0.643679, -0.109196, -0.757465, 0.0, -0.561559, -0.62989, 0.536554, 0.0,
0.0628422, 0.104677, -0.992519, 0.0, 0.480759, -0.2867, -0.828658, 0.0,
-0.228559, -0.228965, -0.946222, 0.0, -0.10194, -0.65706, -0.746914, 0.0,
0.0689193, -0.678236, 0.731605, 0.0, 0.401019, -0.754026, 0.52022, 0.0,
-0.742141, 0.547083, -0.387203, 0.0, -0.00210603, -0.796417, -0.604745, 0.0,
0.296725, -0.409909, -0.862513, 0.0, -0.260932, -0.798201, 0.542945, 0.0,
-0.641628, 0.742379, 0.192838, 0.0, -0.186009, -0.101514, 0.97729, 0.0,
0.106711, -0.962067, 0.251079, 0.0, -0.743499, 0.30988, -0.592607, 0.0,
-0.795853, -0.605066, -0.0226607, 0.0, -0.828661, -0.419471, -0.370628, 0.0,
0.0847218, -0.489815, -0.8677, 0.0, -0.381405, 0.788019, -0.483276, 0.0,
0.282042, -0.953394, 0.107205, 0.0, 0.530774, 0.847413, 0.0130696, 0.0,
0.0515397, 0.922524, 0.382484, 0.0, -0.631467, -0.709046, 0.313852, 0.0,
0.688248, 0.517273, 0.508668, 0.0, 0.646689, -0.333782, -0.685845, 0.0,
-0.932528, -0.247532, -0.262906, 0.0, 0.630609, 0.68757, -0.359973, 0.0,
0.577805, -0.394189, 0.714673, 0.0, -0.887833, -0.437301, -0.14325, 0.0,
0.690982, 0.174003, 0.701617, 0.0, -0.866701, 0.0118182, 0.498689, 0.0,
-0.482876, 0.727143, 0.487949, 0.0, -0.577567, 0.682593, -0.447752, 0.0,
0.373768, 0.0982991, 0.922299, 0.0, 0.170744, 0.964243, -0.202687, 0.0,
0.993654, -0.035791, -0.106632, 0.0, 0.587065, 0.4143, -0.695493, 0.0,
-0.396509, 0.26509, -0.878924, 0.0, -0.0866853, 0.83553, -0.542563, 0.0,
0.923193, 0.133398, -0.360443, 0.0, 0.00379108, -0.258618, 0.965972, 0.0,
0.239144, 0.245154, -0.939526, 0.0, 0.758731, -0.555871, 0.33961, 0.0,
0.295355, 0.309513, 0.903862, 0.0, 0.0531222, -0.91003, -0.411124, 0.0,
0.270452, 0.0229439, -0.96246, 0.0, 0.563634, 0.0324352, 0.825387, 0.0,
0.156326, 0.147392, 0.976646, 0.0, -0.0410141, 0.981824, 0.185309, 0.0,
-0.385562, -0.576343, -0.720535, 0.0, 0.388281, 0.904441, 0.176702, 0.0,
0.945561, -0.192859, -0.262146, 0.0, 0.844504, 0.520193, 0.127325, 0.0,
0.0330893, 0.999121, -0.0257505, 0.0, -0.592616, -0.482475, -0.644999, 0.0,
0.539471, 0.631024, -0.557476, 0.0, 0.655851, -0.027319, -0.754396, 0.0,
0.274465, 0.887659, 0.369772, 0.0, -0.123419, 0.975177, -0.183842, 0.0,
-0.223429, 0.708045, 0.66989, 0.0, -0.908654, 0.196302, 0.368528, 0.0,
-0.95759, -0.00863708, 0.288005, 0.0, 0.960535, 0.030592, 0.276472, 0.0,
-0.413146, 0.907537, 0.0754161, 0.0, -0.847992, 0.350849, -0.397259, 0.0,
0.614736, 0.395841, 0.68221, 0.0, -0.503504, -0.666128, -0.550234, 0.0,
-0.268833, -0.738524, -0.618314, 0.0, 0.792737, -0.60001, -0.107502, 0.0,
-0.637582, 0.508144, -0.579032, 0.0, 0.750105, 0.282165, -0.598101, 0.0,
-0.351199, -0.392294, -0.850155, 0.0, 0.250126, -0.960993, -0.118025, 0.0,
-0.732341, 0.680909, -0.0063274, 0.0, -0.760674, -0.141009, 0.633634, 0.0,
0.222823, -0.304012, 0.926243, 0.0, 0.209178, 0.505671, 0.836984, 0.0,
0.757914, -0.56629, -0.323857, 0.0, -0.782926, -0.339196, 0.52151, 0.0,
-0.462952, 0.585565, 0.665424, 0.0, 0.61879, 0.194119, -0.761194, 0.0,
0.741388, -0.276743, 0.611357, 0.0, 0.707571, 0.702621, 0.0752872, 0.0,
0.156562, 0.819977, 0.550569, 0.0, -0.793606, 0.440216, 0.42, 0.0,
0.234547, 0.885309, -0.401517, 0.0, 0.132598, 0.80115, -0.58359, 0.0,
-0.377899, -0.639179, 0.669808, 0.0, -0.865993, -0.396465, 0.304748, 0.0,
-0.624815, -0.44283, 0.643046, 0.0, -0.485705, 0.825614, -0.287146, 0.0,
-0.971788, 0.175535, 0.157529, 0.0, -0.456027, 0.392629, 0.798675, 0.0,
-0.0104443, 0.521623, -0.853112, 0.0, -0.660575, -0.74519, 0.091282, 0.0,
-0.0157698, -0.307475, -0.951425, 0.0, -0.603467, -0.250192, 0.757121, 0.0,
0.506876, 0.25006, 0.824952, 0.0, 0.255404, 0.966794, 0.00884498, 0.0,
0.466764, -0.874228, -0.133625, 0.0, 0.475077, -0.0682351, -0.877295, 0.0,
-0.224967, -0.938972, -0.260233, 0.0, -0.377929, -0.814757, -0.439705, 0.0,
-0.305847, 0.542333, -0.782517, 0.0, 0.26658, -0.902905, -0.337191, 0.0,
0.0275773, 0.322158, -0.946284, 0.0, 0.0185422, 0.716349, 0.697496, 0.0,
-0.20483, 0.978416, 0.0273371, 0.0, -0.898276, 0.373969, 0.230752, 0.0,
-0.00909378, 0.546594, 0.837349, 0.0, 0.6602, -0.751089, 0.000959236, 0.0,
0.855301, -0.303056, 0.420259, 0.0, 0.797138, 0.0623013, -0.600574, 0.0,
0.48947, -0.866813, 0.0951509, 0.0, 0.251142, 0.674531, 0.694216, 0.0,
-0.578422, -0.737373, -0.348867, 0.0, -0.254689, -0.514807, 0.818601, 0.0,
0.374972, 0.761612, 0.528529, 0.0, 0.640303, -0.734271, -0.225517, 0.0,
-0.638076, 0.285527, 0.715075, 0.0, 0.772956, -0.15984, -0.613995, 0.0,
0.798217, -0.590628, 0.118356, 0.0, -0.986276, -0.0578337, -0.154644, 0.0,
-0.312988, -0.94549, 0.0899272, 0.0, -0.497338, 0.178325, 0.849032, 0.0,
-0.101136, -0.981014, 0.165477, 0.0, -0.521688, 0.0553434, -0.851339, 0.0,
-0.786182, -0.583814, 0.202678, 0.0, -0.565191, 0.821858, -0.0714658, 0.0,
0.437895, 0.152598, -0.885981, 0.0, -0.92394, 0.353436, -0.14635, 0.0,
0.212189, -0.815162, -0.538969, 0.0, -0.859262, 0.143405, -0.491024, 0.0,
0.991353, 0.112814, 0.0670273, 0.0, 0.0337884, -0.979891, -0.196654, 0.0
};
#endregion
#region Methods
internal static double GradientCoherentNoise3D(double x, double y, double z, long seed, QualityMode quality)
{
var x0 = x > 0.0 ? (int) x : (int) x - 1;
var x1 = x0 + 1;
var y0 = y > 0.0 ? (int) y : (int) y - 1;
var y1 = y0 + 1;
var z0 = z > 0.0 ? (int) z : (int) z - 1;
var z1 = z0 + 1;
double xs = 0, ys = 0, zs = 0;
switch (quality)
{
case QualityMode.Low:
{
xs = (x - x0);
ys = (y - y0);
zs = (z - z0);
break;
}
case QualityMode.Medium:
{
xs = MapCubicSCurve(x - x0);
ys = MapCubicSCurve(y - y0);
zs = MapCubicSCurve(z - z0);
break;
}
case QualityMode.High:
{
xs = MapQuinticSCurve(x - x0);
ys = MapQuinticSCurve(y - y0);
zs = MapQuinticSCurve(z - z0);
break;
}
}
var n0 = GradientNoise3D(x, y, z, x0, y0, z0, seed);
var n1 = GradientNoise3D(x, y, z, x1, y0, z0, seed);
var ix0 = InterpolateLinear(n0, n1, xs);
n0 = GradientNoise3D(x, y, z, x0, y1, z0, seed);
n1 = GradientNoise3D(x, y, z, x1, y1, z0, seed);
var ix1 = InterpolateLinear(n0, n1, xs);
var iy0 = InterpolateLinear(ix0, ix1, ys);
n0 = GradientNoise3D(x, y, z, x0, y0, z1, seed);
n1 = GradientNoise3D(x, y, z, x1, y0, z1, seed);
ix0 = InterpolateLinear(n0, n1, xs);
n0 = GradientNoise3D(x, y, z, x0, y1, z1, seed);
n1 = GradientNoise3D(x, y, z, x1, y1, z1, seed);
ix1 = InterpolateLinear(n0, n1, xs);
var iy1 = InterpolateLinear(ix0, ix1, ys);
return InterpolateLinear(iy0, iy1, zs);
}
internal static double GradientNoise3D(double fx, double fy, double fz, int ix, int iy, int iz, long seed)
{
var i = (GeneratorNoiseX * ix + GeneratorNoiseY * iy + GeneratorNoiseZ * iz +
GeneratorSeed * seed) & 0xffffffff;
i ^= (i >> GeneratorShift);
i &= 0xff;
var xvg = Randoms[(i << 2)];
var yvg = Randoms[(i << 2) + 1];
var zvg = Randoms[(i << 2) + 2];
var xvp = (fx - ix);
var yvp = (fy - iy);
var zvp = (fz - iz);
return ((xvg * xvp) + (yvg * yvp) + (zvg * zvp)) * 2.12;
}
internal static double InterpolateCubic(double a, double b, double c, double d, double position)
{
var p = (d - c) - (a - b);
var q = (a - b) - p;
var r = c - a;
var s = b;
return p * position * position * position + q * position * position + r * position + s;
}
internal static double InterpolateLinear(double a, double b, double position)
{
return ((1.0 - position) * a) + (position * b);
}
internal static double MakeInt32Range(double value)
{
if (value >= 1073741824.0)
{
return (2.0 * Math.IEEERemainder(value, 1073741824.0)) - 1073741824.0;
}
if (value <= -1073741824.0)
{
return (2.0 * Math.IEEERemainder(value, 1073741824.0)) + 1073741824.0;
}
return value;
}
internal static double MapCubicSCurve(double value)
{
return (value * value * (3.0 - 2.0 * value));
}
internal static double MapQuinticSCurve(double value)
{
var a3 = value * value * value;
var a4 = a3 * value;
var a5 = a4 * value;
return (6.0 * a5) - (15.0 * a4) + (10.0 * a3);
}
internal static double ValueNoise3D(int x, int y, int z, int seed)
{
return 1.0 - (ValueNoise3DInt(x, y, z, seed) / 1073741824.0);
}
internal static long ValueNoise3DInt(int x, int y, int z, int seed)
{
long n = (GeneratorNoiseX * x + GeneratorNoiseY * y + GeneratorNoiseZ * z +
GeneratorSeed * seed) & 0x7fffffff;
n = (n >> 13) ^ n;
return (n * (n * n * 60493 + 19990303) + 1376312589) & 0x7fffffff;
}
#endregion
}
}