hytale-server/com/hypixel/hytale/builtin/hytalegenerator/fields/noise/Simplex.java

682 lines
14 KiB
Java

package com.hypixel.hytale.builtin.hytalegenerator.fields.noise;
import javax.annotation.Nonnull;
class Simplex {
private static final double F2 = 0.5 * (Math.sqrt(3.0) - 1.0);
private static final double G2 = (3.0 - Math.sqrt(3.0)) / 6.0;
private static final double F3 = 0.3333333333333333;
private static final double G3 = 0.16666666666666666;
private static final double F4 = (Math.sqrt(5.0) - 1.0) / 4.0;
private static final double G4 = (5.0 - Math.sqrt(5.0)) / 20.0;
private static final Simplex.Grad[] grad3 = new Simplex.Grad[]{
new Simplex.Grad(1.0, 1.0, 0.0),
new Simplex.Grad(-1.0, 1.0, 0.0),
new Simplex.Grad(1.0, -1.0, 0.0),
new Simplex.Grad(-1.0, -1.0, 0.0),
new Simplex.Grad(1.0, 0.0, 1.0),
new Simplex.Grad(-1.0, 0.0, 1.0),
new Simplex.Grad(1.0, 0.0, -1.0),
new Simplex.Grad(-1.0, 0.0, -1.0),
new Simplex.Grad(0.0, 1.0, 1.0),
new Simplex.Grad(0.0, -1.0, 1.0),
new Simplex.Grad(0.0, 1.0, -1.0),
new Simplex.Grad(0.0, -1.0, -1.0)
};
private static final Simplex.Grad[] grad4 = new Simplex.Grad[]{
new Simplex.Grad(0.0, 1.0, 1.0, 1.0),
new Simplex.Grad(0.0, 1.0, 1.0, -1.0),
new Simplex.Grad(0.0, 1.0, -1.0, 1.0),
new Simplex.Grad(0.0, 1.0, -1.0, -1.0),
new Simplex.Grad(0.0, -1.0, 1.0, 1.0),
new Simplex.Grad(0.0, -1.0, 1.0, -1.0),
new Simplex.Grad(0.0, -1.0, -1.0, 1.0),
new Simplex.Grad(0.0, -1.0, -1.0, -1.0),
new Simplex.Grad(1.0, 0.0, 1.0, 1.0),
new Simplex.Grad(1.0, 0.0, 1.0, -1.0),
new Simplex.Grad(1.0, 0.0, -1.0, 1.0),
new Simplex.Grad(1.0, 0.0, -1.0, -1.0),
new Simplex.Grad(-1.0, 0.0, 1.0, 1.0),
new Simplex.Grad(-1.0, 0.0, 1.0, -1.0),
new Simplex.Grad(-1.0, 0.0, -1.0, 1.0),
new Simplex.Grad(-1.0, 0.0, -1.0, -1.0),
new Simplex.Grad(1.0, 1.0, 0.0, 1.0),
new Simplex.Grad(1.0, 1.0, 0.0, -1.0),
new Simplex.Grad(1.0, -1.0, 0.0, 1.0),
new Simplex.Grad(1.0, -1.0, 0.0, -1.0),
new Simplex.Grad(-1.0, 1.0, 0.0, 1.0),
new Simplex.Grad(-1.0, 1.0, 0.0, -1.0),
new Simplex.Grad(-1.0, -1.0, 0.0, 1.0),
new Simplex.Grad(-1.0, -1.0, 0.0, -1.0),
new Simplex.Grad(1.0, 1.0, 1.0, 0.0),
new Simplex.Grad(1.0, 1.0, -1.0, 0.0),
new Simplex.Grad(1.0, -1.0, 1.0, 0.0),
new Simplex.Grad(1.0, -1.0, -1.0, 0.0),
new Simplex.Grad(-1.0, 1.0, 1.0, 0.0),
new Simplex.Grad(-1.0, 1.0, -1.0, 0.0),
new Simplex.Grad(-1.0, -1.0, 1.0, 0.0),
new Simplex.Grad(-1.0, -1.0, -1.0, 0.0)
};
private static final short[] p = new short[]{
151,
160,
137,
91,
90,
15,
131,
13,
201,
95,
96,
53,
194,
233,
7,
225,
140,
36,
103,
30,
69,
142,
8,
99,
37,
240,
21,
10,
23,
190,
6,
148,
247,
120,
234,
75,
0,
26,
197,
62,
94,
252,
219,
203,
117,
35,
11,
32,
57,
177,
33,
88,
237,
149,
56,
87,
174,
20,
125,
136,
171,
168,
68,
175,
74,
165,
71,
134,
139,
48,
27,
166,
77,
146,
158,
231,
83,
111,
229,
122,
60,
211,
133,
230,
220,
105,
92,
41,
55,
46,
245,
40,
244,
102,
143,
54,
65,
25,
63,
161,
1,
216,
80,
73,
209,
76,
132,
187,
208,
89,
18,
169,
200,
196,
135,
130,
116,
188,
159,
86,
164,
100,
109,
198,
173,
186,
3,
64,
52,
217,
226,
250,
124,
123,
5,
202,
38,
147,
118,
126,
255,
82,
85,
212,
207,
206,
59,
227,
47,
16,
58,
17,
182,
189,
28,
42,
223,
183,
170,
213,
119,
248,
152,
2,
44,
154,
163,
70,
221,
153,
101,
155,
167,
43,
172,
9,
129,
22,
39,
253,
19,
98,
108,
110,
79,
113,
224,
232,
178,
185,
112,
104,
218,
246,
97,
228,
251,
34,
242,
193,
238,
210,
144,
12,
191,
179,
162,
241,
81,
51,
145,
235,
249,
14,
239,
107,
49,
192,
214,
31,
181,
199,
106,
157,
184,
84,
204,
176,
115,
121,
50,
45,
127,
4,
150,
254,
138,
236,
205,
93,
222,
114,
67,
29,
24,
72,
243,
141,
128,
195,
78,
66,
215,
61,
156,
180
};
private static final short[] perm = new short[512];
private static final short[] permMod12 = new short[512];
private static int fastfloor(double x) {
int xi = (int)x;
return x < xi ? xi - 1 : xi;
}
private static double dot(@Nonnull Simplex.Grad g, double x, double y) {
return g.x * x + g.y * y;
}
private static double dot(@Nonnull Simplex.Grad g, double x, double y, double z) {
return g.x * x + g.y * y + g.z * z;
}
private static double dot(@Nonnull Simplex.Grad g, double x, double y, double z, double w) {
return g.x * x + g.y * y + g.z * z + g.w * w;
}
public static double noise(double xin, double yin) {
double s = (xin + yin) * F2;
int i = fastfloor(xin + s);
int j = fastfloor(yin + s);
double t = (i + j) * G2;
double X0 = i - t;
double Y0 = j - t;
double x0 = xin - X0;
double y0 = yin - Y0;
int i1;
int j1;
if (x0 > y0) {
i1 = 1;
j1 = 0;
} else {
i1 = 0;
j1 = 1;
}
double x1 = x0 - i1 + G2;
double y1 = y0 - j1 + G2;
double x2 = x0 - 1.0 + 2.0 * G2;
double y2 = y0 - 1.0 + 2.0 * G2;
int ii = i & 0xFF;
int jj = j & 0xFF;
int gi0 = permMod12[ii + perm[jj]];
int gi1 = permMod12[ii + i1 + perm[jj + j1]];
int gi2 = permMod12[ii + 1 + perm[jj + 1]];
double t0 = 0.5 - x0 * x0 - y0 * y0;
double n0;
if (t0 < 0.0) {
n0 = 0.0;
} else {
t0 *= t0;
n0 = t0 * t0 * dot(grad3[gi0], x0, y0);
}
double t1 = 0.5 - x1 * x1 - y1 * y1;
double n1;
if (t1 < 0.0) {
n1 = 0.0;
} else {
t1 *= t1;
n1 = t1 * t1 * dot(grad3[gi1], x1, y1);
}
double t2 = 0.5 - x2 * x2 - y2 * y2;
double n2;
if (t2 < 0.0) {
n2 = 0.0;
} else {
t2 *= t2;
n2 = t2 * t2 * dot(grad3[gi2], x2, y2);
}
return 70.0 * (n0 + n1 + n2);
}
public static double noise(double xin, double yin, double zin) {
double s = (xin + yin + zin) * 0.3333333333333333;
int i = fastfloor(xin + s);
int j = fastfloor(yin + s);
int k = fastfloor(zin + s);
double t = (i + j + k) * 0.16666666666666666;
double X0 = i - t;
double Y0 = j - t;
double Z0 = k - t;
double x0 = xin - X0;
double y0 = yin - Y0;
double z0 = zin - Z0;
int i1;
int j1;
int k1;
int i2;
int j2;
int 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 + 0.16666666666666666;
double y1 = y0 - j1 + 0.16666666666666666;
double z1 = z0 - k1 + 0.16666666666666666;
double x2 = x0 - i2 + 0.3333333333333333;
double y2 = y0 - j2 + 0.3333333333333333;
double z2 = z0 - k2 + 0.3333333333333333;
double x3 = x0 - 1.0 + 0.5;
double y3 = y0 - 1.0 + 0.5;
double z3 = z0 - 1.0 + 0.5;
int ii = i & 0xFF;
int jj = j & 0xFF;
int kk = k & 0xFF;
int gi0 = permMod12[ii + perm[jj + perm[kk]]];
int gi1 = permMod12[ii + i1 + perm[jj + j1 + perm[kk + k1]]];
int gi2 = permMod12[ii + i2 + perm[jj + j2 + perm[kk + k2]]];
int gi3 = permMod12[ii + 1 + perm[jj + 1 + perm[kk + 1]]];
double t0 = 0.6 - x0 * x0 - y0 * y0 - z0 * z0;
double n0;
if (t0 < 0.0) {
n0 = 0.0;
} else {
t0 *= t0;
n0 = t0 * t0 * dot(grad3[gi0], x0, y0, z0);
}
double t1 = 0.6 - x1 * x1 - y1 * y1 - z1 * z1;
double n1;
if (t1 < 0.0) {
n1 = 0.0;
} else {
t1 *= t1;
n1 = t1 * t1 * dot(grad3[gi1], x1, y1, z1);
}
double t2 = 0.6 - x2 * x2 - y2 * y2 - z2 * z2;
double n2;
if (t2 < 0.0) {
n2 = 0.0;
} else {
t2 *= t2;
n2 = t2 * t2 * dot(grad3[gi2], x2, y2, z2);
}
double t3 = 0.6 - x3 * x3 - y3 * y3 - z3 * z3;
double n3;
if (t3 < 0.0) {
n3 = 0.0;
} else {
t3 *= t3;
n3 = t3 * t3 * dot(grad3[gi3], x3, y3, z3);
}
return 32.0 * (n0 + n1 + n2 + n3);
}
public static double noise(double x, double y, double z, double w) {
double s = (x + y + z + w) * F4;
int i = fastfloor(x + s);
int j = fastfloor(y + s);
int k = fastfloor(z + s);
int l = fastfloor(w + s);
double t = (i + j + k + l) * G4;
double X0 = i - t;
double Y0 = j - t;
double Z0 = k - t;
double W0 = l - t;
double x0 = x - X0;
double y0 = y - Y0;
double z0 = z - Z0;
double w0 = w - W0;
int rankx = 0;
int ranky = 0;
int rankz = 0;
int rankw = 0;
if (x0 > y0) {
rankx++;
} else {
ranky++;
}
if (x0 > z0) {
rankx++;
} else {
rankz++;
}
if (x0 > w0) {
rankx++;
} else {
rankw++;
}
if (y0 > z0) {
ranky++;
} else {
rankz++;
}
if (y0 > w0) {
ranky++;
} else {
rankw++;
}
if (z0 > w0) {
rankz++;
} else {
rankw++;
}
int i1 = rankx >= 3 ? 1 : 0;
int j1 = ranky >= 3 ? 1 : 0;
int k1 = rankz >= 3 ? 1 : 0;
int l1 = rankw >= 3 ? 1 : 0;
int i2 = rankx >= 2 ? 1 : 0;
int j2 = ranky >= 2 ? 1 : 0;
int k2 = rankz >= 2 ? 1 : 0;
int l2 = rankw >= 2 ? 1 : 0;
int i3 = rankx >= 1 ? 1 : 0;
int j3 = ranky >= 1 ? 1 : 0;
int k3 = rankz >= 1 ? 1 : 0;
int l3 = rankw >= 1 ? 1 : 0;
double x1 = x0 - i1 + G4;
double y1 = y0 - j1 + G4;
double z1 = z0 - k1 + G4;
double w1 = w0 - l1 + G4;
double x2 = x0 - i2 + 2.0 * G4;
double y2 = y0 - j2 + 2.0 * G4;
double z2 = z0 - k2 + 2.0 * G4;
double w2 = w0 - l2 + 2.0 * G4;
double x3 = x0 - i3 + 3.0 * G4;
double y3 = y0 - j3 + 3.0 * G4;
double z3 = z0 - k3 + 3.0 * G4;
double w3 = w0 - l3 + 3.0 * G4;
double x4 = x0 - 1.0 + 4.0 * G4;
double y4 = y0 - 1.0 + 4.0 * G4;
double z4 = z0 - 1.0 + 4.0 * G4;
double w4 = w0 - 1.0 + 4.0 * G4;
int ii = i & 0xFF;
int jj = j & 0xFF;
int kk = k & 0xFF;
int ll = l & 0xFF;
int gi0 = perm[ii + perm[jj + perm[kk + perm[ll]]]] % 32;
int gi1 = perm[ii + i1 + perm[jj + j1 + perm[kk + k1 + perm[ll + l1]]]] % 32;
int gi2 = perm[ii + i2 + perm[jj + j2 + perm[kk + k2 + perm[ll + l2]]]] % 32;
int gi3 = perm[ii + i3 + perm[jj + j3 + perm[kk + k3 + perm[ll + l3]]]] % 32;
int gi4 = perm[ii + 1 + perm[jj + 1 + perm[kk + 1 + perm[ll + 1]]]] % 32;
double t0 = 0.5 - x0 * x0 - y0 * y0 - z0 * z0 - w0 * w0;
double n0;
if (t0 < 0.0) {
n0 = 0.0;
} else {
t0 *= t0;
n0 = t0 * t0 * dot(grad4[gi0], x0, y0, z0, w0);
}
double t1 = 0.6 - x1 * x1 - y1 * y1 - z1 * z1 - w1 * w1;
double n1;
if (t1 < 0.0) {
n1 = 0.0;
} else {
t1 *= t1;
n1 = t1 * t1 * dot(grad4[gi1], x1, y1, z1, w1);
}
double t2 = 0.6 - x2 * x2 - y2 * y2 - z2 * z2 - w2 * w2;
double n2;
if (t2 < 0.0) {
n2 = 0.0;
} else {
t2 *= t2;
n2 = t2 * t2 * dot(grad4[gi2], x2, y2, z2, w2);
}
double t3 = 0.6 - x3 * x3 - y3 * y3 - z3 * z3 - w3 * w3;
double n3;
if (t3 < 0.0) {
n3 = 0.0;
} else {
t3 *= t3;
n3 = t3 * t3 * dot(grad4[gi3], x3, y3, z3, w3);
}
double t4 = 0.6 - x4 * x4 - y4 * y4 - z4 * z4 - w4 * w4;
double n4;
if (t4 < 0.0) {
n4 = 0.0;
} else {
t4 *= t4;
n4 = t4 * t4 * dot(grad4[gi4], x4, y4, z4, w4);
}
return 27.0 * (n0 + n1 + n2 + n3 + n4);
}
static {
for (int i = 0; i < 512; i++) {
perm[i] = p[i & 0xFF];
permMod12[i] = (short)(perm[i] % 12);
}
}
private static class Grad {
double x;
double y;
double z;
double w;
Grad(double x, double y, double z) {
this.x = x;
this.y = y;
this.z = z;
}
Grad(double x, double y, double z, double w) {
this.x = x;
this.y = y;
this.z = z;
this.w = w;
}
}
}