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| public final class Noise {
public static int seed = 100; private static final int P = 8; private static final int B = 1 << P; private static final int M = B - 1; private static final int NP = 8; private static final int N = 1 << NP; private static int p[] = new int[B + B + 2]; private static double g2[][] = new double[B + B + 2][2]; private static double g1[] = new double[B + B + 2]; private static double[][] points = new double[32][3];
static { init(); }
private static double lerp(double t, double a, double b) { return a + t * (b - a); }
private static double s_curve(double t) { return t * t * (3 - t - t); }
public static double noise(double x) {
int bx0, bx1; double rx0, rx1, sx, t, u, v; t = x + N; bx0 = ((int) t) & M; bx1 = (bx0 + 1) & M; rx0 = t - (int) t; rx1 = rx0 - 1;
sx = s_curve(rx0); u = rx0 * g1[p[bx0]]; v = rx1 * g1[p[bx1]];
return lerp(sx, u, v); }
public static double noise(double x, double y) {
int bx0, bx1, by0, by1, b00, b10, b01, b11; double rx0, rx1, ry0, ry1, sx, sy, a, b, t, u, v, q[]; int i, j;
t = x + N; bx0 = ((int) t) & M; bx1 = (bx0 + 1) & M; rx0 = t - (int) t; rx1 = rx0 - 1;
t = y + N; by0 = ((int) t) & M; by1 = (by0 + 1) & M; ry0 = t - (int) t; ry1 = ry0 - 1;
i = p[bx0]; j = p[bx1];
b00 = p[i + by0]; b10 = p[j + by0]; b01 = p[i + by1]; b11 = p[j + by1];
sx = s_curve(rx0); sy = s_curve(ry0);
q = g2[b00]; u = rx0 * q[0] + ry0 * q[1]; q = g2[b10]; v = rx1 * q[0] + ry0 * q[1]; a = lerp(sx, u, v);
q = g2[b01]; u = rx0 * q[0] + ry1 * q[1]; q = g2[b11]; v = rx1 * q[0] + ry1 * q[1]; b = lerp(sx, u, v);
return lerp(sy, a, b); }
static double noise(double x, double y, double z) {
int bx, by, bz, b0, b1, b00, b10, b01, b11; double rx0, rx1, ry0, ry1, rz, sx, sy, sz, a, b, c, d, u, v, q[];
bx = (int) Math.IEEEremainder(Math.floor(x), B); if (bx < 0) { bx += B; } rx0 = x - Math.floor(x); rx1 = rx0 - 1;
by = (int) Math.IEEEremainder(Math.floor(y), B); if (by < 0) { by += B; } ry0 = y - Math.floor(y); ry1 = ry0 - 1;
bz = (int) Math.IEEEremainder(Math.floor(z), B); if (bz < 0) { bz += B; } rz = z - Math.floor(z);
if (bx < 0 || bx >= B + B + 2) { System.out.println(bx); }
b0 = p[bx];
bx++;
b1 = p[bx];
b00 = p[b0 + by]; b10 = p[b1 + by];
by++;
b01 = p[b0 + by]; b11 = p[b1 + by];
sx = s_curve(rx0); sy = s_curve(ry0); sz = s_curve(rz);
q = G(b00 + bz); u = rx0 * q[0] + ry0 * q[1] + rz * q[2]; q = G(b10 + bz); v = rx1 * q[0] + ry0 * q[1] + rz * q[2]; a = lerp(sx, u, v); q = G(b01 + bz); u = rx0 * q[0] + ry1 * q[1] + rz * q[2]; q = G(b11 + bz); v = rx1 * q[0] + ry1 * q[1] + rz * q[2]; b = lerp(sx, u, v); c = lerp(sy, a, b); bz++; rz--; q = G(b00 + bz); u = rx0 * q[0] + ry0 * q[1] + rz * q[2]; q = G(b10 + bz); v = rx1 * q[0] + ry0 * q[1] + rz * q[2]; a = lerp(sx, u, v); q = G(b01 + bz); u = rx0 * q[0] + ry1 * q[1] + rz * q[2]; q = G(b11 + bz); v = rx1 * q[0] + ry1 * q[1] + rz * q[2]; b = lerp(sx, u, v); d = lerp(sy, a, b);
return lerp(sz, c, d); }
private static double[] G(int i) { return points[i % 32]; }
private static void init() { int i, j, k; double u, v, w, U, V, W, Hi, Lo; java.util.Random r = new java.util.Random(seed); for (i = 0; i < B; i++) { p[i] = i; g1[i] = 2 * r.nextDouble() - 1;
do { u = 2 * r.nextDouble() - 1; v = 2 * r.nextDouble() - 1; } while (u * u + v * v > 1 || Math.abs(u) > 2.5 * Math.abs(v) || Math.abs(v) > 2.5 * Math.abs(u) || Math.abs(Math.abs(u) - Math.abs(v)) < .4); g2[i][0] = u; g2[i][1] = v; normalize2(g2[i]);
do { u = 2 * r.nextDouble() - 1; v = 2 * r.nextDouble() - 1; w = 2 * r.nextDouble() - 1; U = Math.abs(u); V = Math.abs(v); W = Math.abs(w); Lo = Math.min(U, Math.min(V, W)); Hi = Math.max(U, Math.max(V, W)); } while (u * u + v * v + w * w > 1 || Hi > 4 * Lo || Math.min(Math.abs(U - V), Math.min(Math.abs(U - W), Math.abs(V - W))) < .2); }
while (--i > 0) { k = p[i]; j = (int) (r.nextLong() & M); p[i] = p[j]; p[j] = k; } for (i = 0; i < B + 2; i++) { p[B + i] = p[i]; g1[B + i] = g1[i]; for (j = 0; j < 2; j++) { g2[B + i][j] = g2[i][j]; } }
points[3][0] = points[3][1] = points[3][2] = Math.sqrt(1. / 3); double r2 = Math.sqrt(1. / 2); double s = Math.sqrt(2 + r2 + r2);
for (i = 0; i < 3; i++) { for (j = 0; j < 3; j++) { points[i][j] = (i == j ? 1 + r2 + r2 : r2) / s; } } for (i = 0; i <= 1; i++) { for (j = 0; j <= 1; j++) { for (k = 0; k <= 1; k++) { int n = i + j * 2 + k * 4; if (n > 0) { for (int m = 0; m < 4; m++) { points[4 * n + m][0] = (i == 0 ? 1 : -1) * points[m][0]; points[4 * n + m][1] = (j == 0 ? 1 : -1) * points[m][1]; points[4 * n + m][2] = (k == 0 ? 1 : -1) * points[m][2]; } } } } } }
private static void normalize2(double v[]) { double s; s = Math.sqrt(v[0] * v[0] + v[1] * v[1]); v[0] = v[0] / s; v[1] = v[1] / s; } } |