package cn.nukkit.level.generator.noise.nukkit.d;
import cn.nukkit.math.NukkitRandom;
/**
* author: MagicDroidX
* Nukkit Project
*/
public class SimplexD extends PerlinD {
protected static double SQRT_3;
protected static double SQRT_5;
protected static double F2;
protected static double G2;
protected static double G22;
protected static double F3;
protected static double G3;
protected static double F4;
protected static double G4;
protected static double G42;
protected static double G43;
protected static double G44;
public static final int[][] grad3 = {
{1, 1, 0}, {-1, 1, 0}, {1, -1, 0}, {-1, -1, 0},
{1, 0, 1}, {-1, 0, 1}, {1, 0, -1}, {-1, 0, -1},
{0, 1, 1}, {0, -1, 1}, {0, 1, -1}, {0, -1, -1}
};
protected final double offsetW;
public SimplexD(NukkitRandom random, double octaves, double persistence) {
super(random, octaves, persistence);
this.offsetW = random.nextDouble() * 256;
SQRT_3 = Math.sqrt(3);
SQRT_5 = Math.sqrt(5);
F2 = 0.5 * (SQRT_3 - 1);
G2 = (3 - SQRT_3) / 6;
G22 = G2 * 2.0 - 1;
F3 = 1.0 / 3.0;
G3 = 1.0 / 6.0;
F4 = (SQRT_5 - 1.0) / 4.0;
G4 = (5.0 - SQRT_5) / 20.0;
G42 = G4 * 2.0;
G43 = G4 * 3.0;
G44 = G4 * 4.0 - 1.0;
}
public SimplexD(NukkitRandom random, double octaves, double persistence, double expansion) {
super(random, octaves, persistence, expansion);
this.offsetW = random.nextDouble() * 256;
SQRT_3 = Math.sqrt(3);
SQRT_5 = Math.sqrt(5);
F2 = 0.5 * (SQRT_3 - 1);
G2 = (3 - SQRT_3) / 6;
G22 = G2 * 2.0 - 1;
F3 = 1.0 / 3.0;
G3 = 1.0 / 6.0;
F4 = (SQRT_5 - 1.0) / 4.0;
G4 = (5.0 - SQRT_5) / 20.0;
G42 = G4 * 2.0;
G43 = G4 * 3.0;
G44 = G4 * 4.0 - 1.0;
}
protected static double dot2D(int[] g, double x, double y) {
return g[0] * x + g[1] * y;
}
protected static double dot3D(int[] g, double x, double y, double z) {
return g[0] * x + g[1] * y + g[2] * z;
}
protected static double dot4D(int[] g, double x, double y, double z, double w) {
return g[0] * x + g[1] * y + g[2] * z + g[3] * w;
}
@Override
public double getNoise3D(double x, double y, double z) {
x += this.offsetX;
y += this.offsetY;
z += this.offsetZ;
// Skew the input space to determine which simplex cell we're in
double s = (x + y + z) * F3; // Very nice and simple skew factor for 3D
int i = (int) (x + s);
int j = (int) (y + s);
int k = (int) (z + s);
double t = (i + j + k) * G3;
// Unskew the cell origin back to (x,y,z) space
double x0 = x - (i - t); // The x,y,z distances from the cell origin
double y0 = y - (j - t);
double z0 = z - (k - t);
// For the 3D case, the simplex shape is a slightly irregular tetrahedron.
int i1 = 0;
int j1 = 0;
int k1 = 0;
int i2 = 0;
int j2 = 0;
int k2 = 0;
// Determine which simplex we are in.
if (x0 >= y0) {
if (y0 >= z0) {
i1 = 1;
j1 = 0;
k1 = 0;
i2 = 1;
j2 = 1;
k2 = 0;
} // X Y Z order
else if (x0 >= z0) {
i1 = 1;
j1 = 0;
k1 = 0;
i2 = 1;
j2 = 0;
k2 = 1;
} // X Z Y order
else {
i1 = 0;
j1 = 0;
k1 = 1;
i2 = 1;
j2 = 0;
k2 = 1;
}
// Z X Y order
} else { // x0<y0
if (y0 < z0) {
i1 = 0;
j1 = 0;
k1 = 1;
i2 = 0;
j2 = 1;
k2 = 1;
} // Z Y X order
else if (x0 < z0) {
i1 = 0;
j1 = 1;
k1 = 0;
i2 = 0;
j2 = 1;
k2 = 1;
} // Y Z X order
else {
i1 = 0;
j1 = 1;
k1 = 0;
i2 = 1;
j2 = 1;
k2 = 0;
}
// Y X Z order
}
// A step of (1,0,0) in (i,j,k) means a step of (1-c,-c,-c) in (x,y,z),
// a step of (0,1,0) in (i,j,k) means a step of (-c,1-c,-c) in (x,y,z), and
// a step of (0,0,1) in (i,j,k) means a step of (-c,-c,1-c) in (x,y,z), where
// c = 1/6.
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 + 2.0 * G3; // Offsets for third corner in (x,y,z) coords
double y2 = y0 - j2 + 2.0 * G3;
double z2 = z0 - k2 + 2.0 * G3;
double x3 = x0 - 1.0 + 3.0 * G3; // Offsets for last corner in (x,y,z) coords
double y3 = y0 - 1.0 + 3.0 * G3;
double z3 = z0 - 1.0 + 3.0 * G3;
// Work out the hashed gradient indices of the four simplex corners
int ii = i & 255;
int jj = j & 255;
int kk = k & 255;
double n = 0;
// Calculate the contribution from the four corners
double t0 = 0.6 - x0 * x0 - y0 * y0 - z0 * z0;
if (t0 > 0) {
int[] gi0 = grad3[this.perm[ii + this.perm[jj + this.perm[kk]]] % 12];
n += t0 * t0 * t0 * t0 * (gi0[0] * x0 + gi0[1] * y0 + gi0[2] * z0);
}
double t1 = 0.6 - x1 * x1 - y1 * y1 - z1 * z1;
if (t1 > 0) {
int[] gi1 = grad3[this.perm[ii + i1 + this.perm[jj + j1 + this.perm[kk + k1]]] % 12];
n += t1 * t1 * t1 * t1 * (gi1[0] * x1 + gi1[1] * y1 + gi1[2] * z1);
}
double t2 = 0.6 - x2 * x2 - y2 * y2 - z2 * z2;
if (t2 > 0) {
int[] gi2 = grad3[this.perm[ii + i2 + this.perm[jj + j2 + this.perm[kk + k2]]] % 12];
n += t2 * t2 * t2 * t2 * (gi2[0] * x2 + gi2[1] * y2 + gi2[2] * z2);
}
double t3 = 0.6 - x3 * x3 - y3 * y3 - z3 * z3;
if (t3 > 0) {
int[] gi3 = grad3[this.perm[ii + 1 + this.perm[jj + 1 + this.perm[kk + 1]]] % 12];
n += t3 * t3 * t3 * t3 * (gi3[0] * x3 + gi3[1] * y3 + gi3[2] * z3);
}
// Add contributions from each corner to get the noise value.
// The result is scaled to stay just inside [-1,1]
return 32.0 * n;
}
@Override
public double getNoise2D(double x, double y) {
x += this.offsetX;
y += this.offsetY;
// Skew the input space to determine which simplex cell we're in
double s = (x + y) * F2; // Hairy factor for 2D
int i = (int) (x + s);
int j = (int) (y + s);
double t = (i + j) * G2;
// Unskew the cell origin back to (x,y) space
double x0 = x - (i - t); // The x,y distances from the cell origin
double y0 = y - (j - t);
// For the 2D case, the simplex shape is an equilateral triangle.
int i1 = 0;
int j1 = 0;
// Determine which simplex we are in.
if (x0 > y0) {
i1 = 1;
j1 = 0;
} // lower triangle, XY order: (0,0).(1,0).(1,1)
else {
i1 = 0;
j1 = 1;
}
// upper triangle, YX order: (0,0).(0,1).(1,1)
// A step of (1,0) in (i,j) means a step of (1-c,-c) in (x,y), and
// a step of (0,1) in (i,j) means a step of (-c,1-c) in (x,y), where
// c = (3-sqrt(3))/6
double x1 = x0 - i1 + G2; // Offsets for middle corner in (x,y) unskewed coords
double y1 = y0 - j1 + G2;
double x2 = x0 + G22; // Offsets for last corner in (x,y) unskewed coords
double y2 = y0 + G22;
// Work out the hashed gradient indices of the three simplex corners
int ii = i & 255;
int jj = j & 255;
double n = 0;
// Calculate the contribution from the three corners
double t0 = 0.5 - x0 * x0 - y0 * y0;
if (t0 > 0) {
int[] gi0 = grad3[this.perm[ii + this.perm[jj]] % 12];
n += t0 * t0 * t0 * t0 * (gi0[0] * x0 + gi0[1] * y0); // (x,y) of grad3 used for 2D gradient
}
double t1 = 0.5 - x1 * x1 - y1 * y1;
if (t1 > 0) {
int[] gi1 = grad3[this.perm[ii + i1 + this.perm[jj + j1]] % 12];
n += t1 * t1 * t1 * t1 * (gi1[0] * x1 + gi1[1] * y1);
}
double t2 = 0.5 - x2 * x2 - y2 * y2;
if (t2 > 0) {
int[] gi2 = grad3[this.perm[ii + 1 + this.perm[jj + 1]] % 12];
n += t2 * t2 * t2 * t2 * (gi2[0] * x2 + gi2[1] * y2);
}
// Add contributions from each corner to get the noise value.
// The result is scaled to return values in the interval [-1,1].
return 70.0 * n;
}
}
