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KdotJPG/OpenSimplex2S.java

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Visually isotropic coherent noise algorithm based on alternate constructions of the A* lattice.
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OpenSimplex2S.java
/**
* K.jpg's OpenSimplex 2, smooth variant ("SuperSimplex")
*
* More language ports, as well as legacy 2014 OpenSimplex, can be found here:
* https://github.com/KdotJPG/OpenSimplex2
*/
public class OpenSimplex2S {
private static final long PRIME_X = 0x5205402B9270C86FL;
private static final long PRIME_Y = 0x598CD327003817B5L;
private static final long PRIME_Z = 0x5BCC226E9FA0BACBL;
private static final long PRIME_W = 0x56CC5227E58F554BL;
private static final long HASH_MULTIPLIER = 0x53A3F72DEEC546F5L;
private static final long SEED_FLIP_3D = -0x52D547B2E96ED629L;
private static final double ROOT2OVER2 = 0.7071067811865476;
private static final double SKEW_2D = 0.366025403784439;
private static final double UNSKEW_2D = -0.21132486540518713;
private static final double ROOT3OVER3 = 0.577350269189626;
private static final double FALLBACK_ROTATE3 = 2.0 / 3.0;
private static final double ROTATE3_ORTHOGONALIZER = UNSKEW_2D;
private static final float SKEW_4D = 0.309016994374947f;
private static final float UNSKEW_4D = -0.138196601125011f;
private static final int N_GRADS_2D_EXPONENT = 7;
private static final int N_GRADS_3D_EXPONENT = 8;
private static final int N_GRADS_4D_EXPONENT = 9;
private static final int N_GRADS_2D = 1 << N_GRADS_2D_EXPONENT;
private static final int N_GRADS_3D = 1 << N_GRADS_3D_EXPONENT;
private static final int N_GRADS_4D = 1 << N_GRADS_4D_EXPONENT;
private static final double NORMALIZER_2D = 0.05481866495625118;
private static final double NORMALIZER_3D = 0.2781926117527186;
private static final double NORMALIZER_4D = 0.11127401889945551;
private static final float RSQUARED_2D = 2.0f / 3.0f;
private static final float RSQUARED_3D = 3.0f / 4.0f;
private static final float RSQUARED_4D = 4.0f / 5.0f;
/*
* Noise Evaluators
*/
/**
* 2D OpenSimplex2S/SuperSimplex noise, standard lattice orientation.
*/
public static float noise2(long seed, double x, double y) {
// Get points for A2* lattice
double s = SKEW_2D * (x + y);
double xs = x + s, ys = y + s;
return noise2_UnskewedBase(seed, xs, ys);
}
/**
* 2D OpenSimplex2S/SuperSimplex noise, with Y pointing down the main diagonal.
* Might be better for a 2D sandbox style game, where Y is vertical.
* Probably slightly less optimal for heightmaps or continent maps,
* unless your map is centered around an equator. It's a slight
* difference, but the option is here to make it easy.
*/
public static float noise2_ImproveX(long seed, double x, double y) {
// Skew transform and rotation baked into one.
double xx = x * ROOT2OVER2;
double yy = y * (ROOT2OVER2 * (1 + 2 * SKEW_2D));
return noise2_UnskewedBase(seed, yy + xx, yy - xx);
}
/**
* 2D OpenSimplex2S/SuperSimplex noise base.
*/
private static float noise2_UnskewedBase(long seed, double xs, double ys) {
// Get base points and offsets.
int xsb = fastFloor(xs), ysb = fastFloor(ys);
float xi = (float)(xs - xsb), yi = (float)(ys - ysb);
// Prime pre-multiplication for hash.
long xsbp = xsb * PRIME_X, ysbp = ysb * PRIME_Y;
// Unskew.
float t = (xi + yi) * (float)UNSKEW_2D;
float dx0 = xi + t, dy0 = yi + t;
// First vertex.
float a0 = RSQUARED_2D - dx0 * dx0 - dy0 * dy0;
float value = (a0 * a0) * (a0 * a0) * grad(seed, xsbp, ysbp, dx0, dy0);
// Second vertex.
float a1 = (float)(2 * (1 + 2 * UNSKEW_2D) * (1 / UNSKEW_2D + 2)) * t + ((float)(-2 * (1 + 2 * UNSKEW_2D) * (1 + 2 * UNSKEW_2D)) + a0);
float dx1 = dx0 - (float)(1 + 2 * UNSKEW_2D);
float dy1 = dy0 - (float)(1 + 2 * UNSKEW_2D);
value += (a1 * a1) * (a1 * a1) * grad(seed, xsbp + PRIME_X, ysbp + PRIME_Y, dx1, dy1);
// Third and fourth vertices.
// Nested conditionals were faster than compact bit logic/arithmetic.
float xmyi = xi - yi;
if (t < UNSKEW_2D) {
if (xi + xmyi > 1) {
float dx2 = dx0 - (float)(3 * UNSKEW_2D + 2);
float dy2 = dy0 - (float)(3 * UNSKEW_2D + 1);
float a2 = RSQUARED_2D - dx2 * dx2 - dy2 * dy2;
if (a2 > 0) {
value += (a2 * a2) * (a2 * a2) * grad(seed, xsbp + (PRIME_X << 1), ysbp + PRIME_Y, dx2, dy2);
}
}
else
{
float dx2 = dx0 - (float)UNSKEW_2D;
float dy2 = dy0 - (float)(UNSKEW_2D + 1);
float a2 = RSQUARED_2D - dx2 * dx2 - dy2 * dy2;
if (a2 > 0) {
value += (a2 * a2) * (a2 * a2) * grad(seed, xsbp, ysbp + PRIME_Y, dx2, dy2);
}
}
if (yi - xmyi > 1) {
float dx3 = dx0 - (float)(3 * UNSKEW_2D + 1);
float dy3 = dy0 - (float)(3 * UNSKEW_2D + 2);
float a3 = RSQUARED_2D - dx3 * dx3 - dy3 * dy3;
if (a3 > 0) {
value += (a3 * a3) * (a3 * a3) * grad(seed, xsbp + PRIME_X, ysbp + (PRIME_Y << 1), dx3, dy3);
}
}
else
{
float dx3 = dx0 - (float)(UNSKEW_2D + 1);
float dy3 = dy0 - (float)UNSKEW_2D;
float a3 = RSQUARED_2D - dx3 * dx3 - dy3 * dy3;
if (a3 > 0) {
value += (a3 * a3) * (a3 * a3) * grad(seed, xsbp + PRIME_X, ysbp, dx3, dy3);
}
}
}
else
{
if (xi + xmyi < 0) {
float dx2 = dx0 + (float)(1 + UNSKEW_2D);
float dy2 = dy0 + (float)UNSKEW_2D;
float a2 = RSQUARED_2D - dx2 * dx2 - dy2 * dy2;
if (a2 > 0) {
value += (a2 * a2) * (a2 * a2) * grad(seed, xsbp - PRIME_X, ysbp, dx2, dy2);
}
}
else
{
float dx2 = dx0 - (float)(UNSKEW_2D + 1);
float dy2 = dy0 - (float)UNSKEW_2D;
float a2 = RSQUARED_2D - dx2 * dx2 - dy2 * dy2;
if (a2 > 0) {
value += (a2 * a2) * (a2 * a2) * grad(seed, xsbp + PRIME_X, ysbp, dx2, dy2);
}
}
if (yi < xmyi) {
float dx2 = dx0 + (float)UNSKEW_2D;
float dy2 = dy0 + (float)(UNSKEW_2D + 1);
float a2 = RSQUARED_2D - dx2 * dx2 - dy2 * dy2;
if (a2 > 0) {
value += (a2 * a2) * (a2 * a2) * grad(seed, xsbp, ysbp - PRIME_Y, dx2, dy2);
}
}
else
{
float dx2 = dx0 - (float)UNSKEW_2D;
float dy2 = dy0 - (float)(UNSKEW_2D + 1);
float a2 = RSQUARED_2D - dx2 * dx2 - dy2 * dy2;
if (a2 > 0) {
value += (a2 * a2) * (a2 * a2) * grad(seed, xsbp, ysbp + PRIME_Y, dx2, dy2);
}
}
}
return value;
}
/**
* 3D OpenSimplex2S/SuperSimplex noise, with better visual isotropy in (X, Y).
* Recommended for 3D terrain and time-varied animations.
* The Z coordinate should always be the "different" coordinate in whatever your use case is.
* If Y is vertical in world coordinates, call noise3_ImproveXZ(x, z, Y) or use noise3_XZBeforeY.
* If Z is vertical in world coordinates, call noise3_ImproveXZ(x, y, Z).
* For a time varied animation, call noise3_ImproveXY(x, y, T).
*/
public static float noise3_ImproveXY(long seed, double x, double y, double z) {
// Re-orient the cubic lattices without skewing, so Z points up the main lattice diagonal,
// and the planes formed by XY are moved far out of alignment with the cube faces.
// Orthonormal rotation. Not a skew transform.
double xy = x + y;
double s2 = xy * ROTATE3_ORTHOGONALIZER;
double zz = z * ROOT3OVER3;
double xr = x + s2 + zz;
double yr = y + s2 + zz;
double zr = xy * -ROOT3OVER3 + zz;
// Evaluate both lattices to form a BCC lattice.
return noise3_UnrotatedBase(seed, xr, yr, zr);
}
/**
* 3D OpenSimplex2S/SuperSimplex noise, with better visual isotropy in (X, Z).
* Recommended for 3D terrain and time-varied animations.
* The Y coordinate should always be the "different" coordinate in whatever your use case is.
* If Y is vertical in world coordinates, call noise3_ImproveXZ(x, Y, z).
* If Z is vertical in world coordinates, call noise3_ImproveXZ(x, Z, y) or use noise3_ImproveXY.
* For a time varied animation, call noise3_ImproveXZ(x, T, y) or use noise3_ImproveXY.
*/
public static float noise3_ImproveXZ(long seed, double x, double y, double z) {
// Re-orient the cubic lattices without skewing, so Y points up the main lattice diagonal,
// and the planes formed by XZ are moved far out of alignment with the cube faces.
// Orthonormal rotation. Not a skew transform.
double xz = x + z;
double s2 = xz * -0.211324865405187;
double yy = y * ROOT3OVER3;
double xr = x + s2 + yy;
double zr = z + s2 + yy;
double yr = xz * -ROOT3OVER3 + yy;
// Evaluate both lattices to form a BCC lattice.
return noise3_UnrotatedBase(seed, xr, yr, zr);
}
/**
* 3D OpenSimplex2S/SuperSimplex noise, fallback rotation option
* Use noise3_ImproveXY or noise3_ImproveXZ instead, wherever appropriate.
* They have less diagonal bias. This function's best use is as a fallback.
*/
public static float noise3_Fallback(long seed, double x, double y, double z) {
// Re-orient the cubic lattices via rotation, to produce a familiar look.
// Orthonormal rotation. Not a skew transform.
double r = FALLBACK_ROTATE3 * (x + y + z);
double xr = r - x, yr = r - y, zr = r - z;
// Evaluate both lattices to form a BCC lattice.
return noise3_UnrotatedBase(seed, xr, yr, zr);
}
/**
* Generate overlapping cubic lattices for 3D Re-oriented BCC noise.
* Lookup table implementation inspired by DigitalShadow.
* It was actually faster to narrow down the points in the loop itself,
* than to build up the index with enough info to isolate 8 points.
*/
private static float noise3_UnrotatedBase(long seed, double xr, double yr, double zr) {
// Get base points and offsets.
int xrb = fastFloor(xr), yrb = fastFloor(yr), zrb = fastFloor(zr);
float xi = (float)(xr - xrb), yi = (float)(yr - yrb), zi = (float)(zr - zrb);
// Prime pre-multiplication for hash. Also flip seed for second lattice copy.
long xrbp = xrb * PRIME_X, yrbp = yrb * PRIME_Y, zrbp = zrb * PRIME_Z;
long seed2 = seed ^ -0x52D547B2E96ED629L;
// -1 if positive, 0 if negative.
int xNMask = (int)(-0.5f - xi), yNMask = (int)(-0.5f - yi), zNMask = (int)(-0.5f - zi);
// First vertex.
float x0 = xi + xNMask;
float y0 = yi + yNMask;
float z0 = zi + zNMask;
float a0 = RSQUARED_3D - x0 * x0 - y0 * y0 - z0 * z0;
float value = (a0 * a0) * (a0 * a0) * grad(seed,
xrbp + (xNMask & PRIME_X), yrbp + (yNMask & PRIME_Y), zrbp + (zNMask & PRIME_Z), x0, y0, z0);
// Second vertex.
float x1 = xi - 0.5f;
float y1 = yi - 0.5f;
float z1 = zi - 0.5f;
float a1 = RSQUARED_3D - x1 * x1 - y1 * y1 - z1 * z1;
value += (a1 * a1) * (a1 * a1) * grad(seed2,
xrbp + PRIME_X, yrbp + PRIME_Y, zrbp + PRIME_Z, x1, y1, z1);
// Shortcuts for building the remaining falloffs.
// Derived by subtracting the polynomials with the offsets plugged in.
float xAFlipMask0 = ((xNMask | 1) << 1) * x1;
float yAFlipMask0 = ((yNMask | 1) << 1) * y1;
float zAFlipMask0 = ((zNMask | 1) << 1) * z1;
float xAFlipMask1 = (-2 - (xNMask << 2)) * x1 - 1.0f;
float yAFlipMask1 = (-2 - (yNMask << 2)) * y1 - 1.0f;
float zAFlipMask1 = (-2 - (zNMask << 2)) * z1 - 1.0f;
boolean skip5 = false;
float a2 = xAFlipMask0 + a0;
if (a2 > 0) {
float x2 = x0 - (xNMask | 1);
float y2 = y0;
float z2 = z0;
value += (a2 * a2) * (a2 * a2) * grad(seed,
xrbp + (~xNMask & PRIME_X), yrbp + (yNMask & PRIME_Y), zrbp + (zNMask & PRIME_Z), x2, y2, z2);
}
else
{
float a3 = yAFlipMask0 + zAFlipMask0 + a0;
if (a3 > 0) {
float x3 = x0;
float y3 = y0 - (yNMask | 1);
float z3 = z0 - (zNMask | 1);
value += (a3 * a3) * (a3 * a3) * grad(seed,
xrbp + (xNMask & PRIME_X), yrbp + (~yNMask & PRIME_Y), zrbp + (~zNMask & PRIME_Z), x3, y3, z3);
}
float a4 = xAFlipMask1 + a1;
if (a4 > 0) {
float x4 = (xNMask | 1) + x1;
float y4 = y1;
float z4 = z1;
value += (a4 * a4) * (a4 * a4) * grad(seed2,
xrbp + (xNMask & (PRIME_X * 2)), yrbp + PRIME_Y, zrbp + PRIME_Z, x4, y4, z4);
skip5 = true;
}
}
boolean skip9 = false;
float a6 = yAFlipMask0 + a0;
if (a6 > 0) {
float x6 = x0;
float y6 = y0 - (yNMask | 1);
float z6 = z0;
value += (a6 * a6) * (a6 * a6) * grad(seed,
xrbp + (xNMask & PRIME_X), yrbp + (~yNMask & PRIME_Y), zrbp + (zNMask & PRIME_Z), x6, y6, z6);
}
else
{
float a7 = xAFlipMask0 + zAFlipMask0 + a0;
if (a7 > 0) {
float x7 = x0 - (xNMask | 1);
float y7 = y0;
float z7 = z0 - (zNMask | 1);
value += (a7 * a7) * (a7 * a7) * grad(seed,
xrbp + (~xNMask & PRIME_X), yrbp + (yNMask & PRIME_Y), zrbp + (~zNMask & PRIME_Z), x7, y7, z7);
}
float a8 = yAFlipMask1 + a1;
if (a8 > 0) {
float x8 = x1;
float y8 = (yNMask | 1) + y1;
float z8 = z1;
value += (a8 * a8) * (a8 * a8) * grad(seed2,
xrbp + PRIME_X, yrbp + (yNMask & (PRIME_Y << 1)), zrbp + PRIME_Z, x8, y8, z8);
skip9 = true;
}
}
boolean skipD = false;
float aA = zAFlipMask0 + a0;
if (aA > 0) {
float xA = x0;
float yA = y0;
float zA = z0 - (zNMask | 1);
value += (aA * aA) * (aA * aA) * grad(seed,
xrbp + (xNMask & PRIME_X), yrbp + (yNMask & PRIME_Y), zrbp + (~zNMask & PRIME_Z), xA, yA, zA);
}
else
{
float aB = xAFlipMask0 + yAFlipMask0 + a0;
if (aB > 0) {
float xB = x0 - (xNMask | 1);
float yB = y0 - (yNMask | 1);
float zB = z0;
value += (aB * aB) * (aB * aB) * grad(seed,
xrbp + (~xNMask & PRIME_X), yrbp + (~yNMask & PRIME_Y), zrbp + (zNMask & PRIME_Z), xB, yB, zB);
}
float aC = zAFlipMask1 + a1;
if (aC > 0) {
float xC = x1;
float yC = y1;
float zC = (zNMask | 1) + z1;
value += (aC * aC) * (aC * aC) * grad(seed2,
xrbp + PRIME_X, yrbp + PRIME_Y, zrbp + (zNMask & (PRIME_Z << 1)), xC, yC, zC);
skipD = true;
}
}
if (!skip5) {
float a5 = yAFlipMask1 + zAFlipMask1 + a1;
if (a5 > 0) {
float x5 = x1;
float y5 = (yNMask | 1) + y1;
float z5 = (zNMask | 1) + z1;
value += (a5 * a5) * (a5 * a5) * grad(seed2,
xrbp + PRIME_X, yrbp + (yNMask & (PRIME_Y << 1)), zrbp + (zNMask & (PRIME_Z << 1)), x5, y5, z5);
}
}
if (!skip9) {
float a9 = xAFlipMask1 + zAFlipMask1 + a1;
if (a9 > 0) {
float x9 = (xNMask | 1) + x1;
float y9 = y1;
float z9 = (zNMask | 1) + z1;
value += (a9 * a9) * (a9 * a9) * grad(seed2,
xrbp + (xNMask & (PRIME_X * 2)), yrbp + PRIME_Y, zrbp + (zNMask & (PRIME_Z << 1)), x9, y9, z9);
}
}
if (!skipD) {
float aD = xAFlipMask1 + yAFlipMask1 + a1;
if (aD > 0) {
float xD = (xNMask | 1) + x1;
float yD = (yNMask | 1) + y1;
float zD = z1;
value += (aD * aD) * (aD * aD) * grad(seed2,
xrbp + (xNMask & (PRIME_X << 1)), yrbp + (yNMask & (PRIME_Y << 1)), zrbp + PRIME_Z, xD, yD, zD);
}
}
return value;
}
/**
* 4D SuperSimplex noise, with XYZ oriented like noise3_ImproveXY
* and W for an extra degree of freedom. W repeats eventually.
* Recommended for time-varied animations which texture a 3D object (W=time)
* in a space where Z is vertical
*/
public static float noise4_ImproveXYZ_ImproveXY(long seed, double x, double y, double z, double w) {
double xy = x + y;
double s2 = xy * -0.21132486540518699998;
double zz = z * 0.28867513459481294226;
double ww = w * 1.118033988749894;
double xr = x + (zz + ww + s2), yr = y + (zz + ww + s2);
double zr = xy * -0.57735026918962599998 + (zz + ww);
double wr = z * -0.866025403784439 + ww;
return noise4_UnskewedBase(seed, xr, yr, zr, wr);
}
/**
* 4D SuperSimplex noise, with XYZ oriented like noise3_ImproveXZ
* and W for an extra degree of freedom. W repeats eventually.
* Recommended for time-varied animations which texture a 3D object (W=time)
* in a space where Y is vertical
*/
public static float noise4_ImproveXYZ_ImproveXZ(long seed, double x, double y, double z, double w) {
double xz = x + z;
double s2 = xz * -0.21132486540518699998;
double yy = y * 0.28867513459481294226;
double ww = w * 1.118033988749894;
double xr = x + (yy + ww + s2), zr = z + (yy + ww + s2);
double yr = xz * -0.57735026918962599998 + (yy + ww);
double wr = y * -0.866025403784439 + ww;
return noise4_UnskewedBase(seed, xr, yr, zr, wr);
}
/**
* 4D SuperSimplex noise, with XYZ oriented like noise3_Fallback
* and W for an extra degree of freedom. W repeats eventually.
* Recommended for time-varied animations which texture a 3D object (W=time)
* where there isn't a clear distinction between horizontal and vertical
*/
public static float noise4_ImproveXYZ(long seed, double x, double y, double z, double w) {
double xyz = x + y + z;
double ww = w * 1.118033988749894;
double s2 = xyz * -0.16666666666666666 + ww;
double xs = x + s2, ys = y + s2, zs = z + s2, ws = -0.5 * xyz + ww;
return noise4_UnskewedBase(seed, xs, ys, zs, ws);
}
/**
* 4D SuperSimplex noise, with XY and ZW forming orthogonal triangular-based planes.
* Recommended for 3D terrain, where X and Y (or Z and W) are horizontal.
* Recommended for noise(x, y, sin(time), cos(time)) trick.
*/
public static float noise4_ImproveXY_ImproveZW(long seed, double x, double y, double z, double w) {
double s2 = (x + y) * -0.28522513987434876941 + (z + w) * 0.83897065470611435718;
double t2 = (z + w) * 0.21939749883706435719 + (x + y) * -0.48214856493302476942;
double xs = x + s2, ys = y + s2, zs = z + t2, ws = w + t2;
return noise4_UnskewedBase(seed, xs, ys, zs, ws);
}
/**
* 4D SuperSimplex noise, fallback lattice orientation.
*/
public static float noise4_Fallback(long seed, double x, double y, double z, double w) {
// Get points for A4 lattice
double s = SKEW_4D * (x + y + z + w);
double xs = x + s, ys = y + s, zs = z + s, ws = w + s;
return noise4_UnskewedBase(seed, xs, ys, zs, ws);
}
/**
* 4D SuperSimplex noise base.
* Using ultra-simple 4x4x4x4 lookup partitioning.
* This isn't as elegant or SIMD/GPU/etc. portable as other approaches,
* but it competes performance-wise with optimized 2014 OpenSimplex.
*/
private static float noise4_UnskewedBase(long seed, double xs, double ys, double zs, double ws) {
// Get base points and offsets
int xsb = fastFloor(xs), ysb = fastFloor(ys), zsb = fastFloor(zs), wsb = fastFloor(ws);
float xsi = (float)(xs - xsb), ysi = (float)(ys - ysb), zsi = (float)(zs - zsb), wsi = (float)(ws - wsb);
// Unskewed offsets
float ssi = (xsi + ysi + zsi + wsi) * UNSKEW_4D;
float xi = xsi + ssi, yi = ysi + ssi, zi = zsi + ssi, wi = wsi + ssi;
// Prime pre-multiplication for hash.
long xsvp = xsb * PRIME_X, ysvp = ysb * PRIME_Y, zsvp = zsb * PRIME_Z, wsvp = wsb * PRIME_W;
// Index into initial table.
int index = ((fastFloor(xs * 4) & 3) << 0)
| ((fastFloor(ys * 4) & 3) << 2)
| ((fastFloor(zs * 4) & 3) << 4)
| ((fastFloor(ws * 4) & 3) << 6);
// Point contributions
float value = 0;
int secondaryIndexStartAndStop = LOOKUP_4D_A[index];
int secondaryIndexStart = secondaryIndexStartAndStop & 0xFFFF;
int secondaryIndexStop = secondaryIndexStartAndStop >> 16;
for (int i = secondaryIndexStart; i < secondaryIndexStop; i++) {
LatticeVertex4D c = LOOKUP_4D_B[i];
float dx = xi + c.dx, dy = yi + c.dy, dz = zi + c.dz, dw = wi + c.dw;
float a = (dx * dx + dy * dy) + (dz * dz + dw * dw);
if (a < RSQUARED_4D) {
a -= RSQUARED_4D;
a *= a;
value += a * a * grad(seed, xsvp + c.xsvp, ysvp + c.ysvp, zsvp + c.zsvp, wsvp + c.wsvp, dx, dy, dz, dw);
}
}
return value;
}
/*
* Utility
*/
private static float grad(long seed, long xsvp, long ysvp, float dx, float dy) {
long hash = seed ^ xsvp ^ ysvp;
hash *= HASH_MULTIPLIER;
hash ^= hash >> (64 - N_GRADS_2D_EXPONENT + 1);
int gi = (int)hash & ((N_GRADS_2D - 1) << 1);
return GRADIENTS_2D[gi | 0] * dx + GRADIENTS_2D[gi | 1] * dy;
}
private static float grad(long seed, long xrvp, long yrvp, long zrvp, float dx, float dy, float dz) {
long hash = (seed ^ xrvp) ^ (yrvp ^ zrvp);
hash *= HASH_MULTIPLIER;
hash ^= hash >> (64 - N_GRADS_3D_EXPONENT + 2);
int gi = (int)hash & ((N_GRADS_3D - 1) << 2);
return GRADIENTS_3D[gi | 0] * dx + GRADIENTS_3D[gi | 1] * dy + GRADIENTS_3D[gi | 2] * dz;
}
private static float grad(long seed, long xsvp, long ysvp, long zsvp, long wsvp, float dx, float dy, float dz, float dw) {
long hash = seed ^ (xsvp ^ ysvp) ^ (zsvp ^ wsvp);
hash *= HASH_MULTIPLIER;
hash ^= hash >> (64 - N_GRADS_4D_EXPONENT + 2);
int gi = (int)hash & ((N_GRADS_4D - 1) << 2);
return (GRADIENTS_4D[gi | 0] * dx + GRADIENTS_4D[gi | 1] * dy) + (GRADIENTS_4D[gi | 2] * dz + GRADIENTS_4D[gi | 3] * dw);
}
private static int fastFloor(double x) {
int xi = (int)x;
return x < xi ? xi - 1 : xi;
}
/*
* Lookup Tables & Gradients
*/
private static float[] GRADIENTS_2D;
private static float[] GRADIENTS_3D;
private static float[] GRADIENTS_4D;
private static int[] LOOKUP_4D_A;
private static LatticeVertex4D[] LOOKUP_4D_B;
static {
GRADIENTS_2D = new float[N_GRADS_2D * 2];
float[] grad2 = {
0.38268343236509f, 0.923879532511287f,
0.923879532511287f, 0.38268343236509f,
0.923879532511287f, -0.38268343236509f,
0.38268343236509f, -0.923879532511287f,
-0.38268343236509f, -0.923879532511287f,
-0.923879532511287f, -0.38268343236509f,
-0.923879532511287f, 0.38268343236509f,
-0.38268343236509f, 0.923879532511287f,
//-------------------------------------//
0.130526192220052f, 0.99144486137381f,
0.608761429008721f, 0.793353340291235f,
0.793353340291235f, 0.608761429008721f,
0.99144486137381f, 0.130526192220051f,
0.99144486137381f, -0.130526192220051f,
0.793353340291235f, -0.60876142900872f,
0.608761429008721f, -0.793353340291235f,
0.130526192220052f, -0.99144486137381f,
-0.130526192220052f, -0.99144486137381f,
-0.608761429008721f, -0.793353340291235f,
-0.793353340291235f, -0.608761429008721f,
-0.99144486137381f, -0.130526192220052f,
-0.99144486137381f, 0.130526192220051f,
-0.793353340291235f, 0.608761429008721f,
-0.608761429008721f, 0.793353340291235f,
-0.130526192220052f, 0.99144486137381f,
};
for (int i = 0; i < grad2.length; i++) {
grad2[i] = (float)(grad2[i] / NORMALIZER_2D);
}
for (int i = 0, j = 0; i < GRADIENTS_2D.length; i++, j++) {
if (j == grad2.length) j = 0;
GRADIENTS_2D[i] = grad2[j];
}
GRADIENTS_3D = new float[N_GRADS_3D * 4];
float[] grad3 = {
2.22474487139f, 2.22474487139f, -1.0f, 0.0f,
2.22474487139f, 2.22474487139f, 1.0f, 0.0f,
3.0862664687972017f, 1.1721513422464978f, 0.0f, 0.0f,
1.1721513422464978f, 3.0862664687972017f, 0.0f, 0.0f,
-2.22474487139f, 2.22474487139f, -1.0f, 0.0f,
-2.22474487139f, 2.22474487139f, 1.0f, 0.0f,
-1.1721513422464978f, 3.0862664687972017f, 0.0f, 0.0f,
-3.0862664687972017f, 1.1721513422464978f, 0.0f, 0.0f,
-1.0f, -2.22474487139f, -2.22474487139f, 0.0f,
1.0f, -2.22474487139f, -2.22474487139f, 0.0f,
0.0f, -3.0862664687972017f, -1.1721513422464978f, 0.0f,
0.0f, -1.1721513422464978f, -3.0862664687972017f, 0.0f,
-1.0f, -2.22474487139f, 2.22474487139f, 0.0f,
1.0f, -2.22474487139f, 2.22474487139f, 0.0f,
0.0f, -1.1721513422464978f, 3.0862664687972017f, 0.0f,
0.0f, -3.0862664687972017f, 1.1721513422464978f, 0.0f,
//--------------------------------------------------------------------//
-2.22474487139f, -2.22474487139f, -1.0f, 0.0f,
-2.22474487139f, -2.22474487139f, 1.0f, 0.0f,
-3.0862664687972017f, -1.1721513422464978f, 0.0f, 0.0f,
-1.1721513422464978f, -3.0862664687972017f, 0.0f, 0.0f,
-2.22474487139f, -1.0f, -2.22474487139f, 0.0f,
-2.22474487139f, 1.0f, -2.22474487139f, 0.0f,
-1.1721513422464978f, 0.0f, -3.0862664687972017f, 0.0f,
-3.0862664687972017f, 0.0f, -1.1721513422464978f, 0.0f,
-2.22474487139f, -1.0f, 2.22474487139f, 0.0f,
-2.22474487139f, 1.0f, 2.22474487139f, 0.0f,
-3.0862664687972017f, 0.0f, 1.1721513422464978f, 0.0f,
-1.1721513422464978f, 0.0f, 3.0862664687972017f, 0.0f,
-1.0f, 2.22474487139f, -2.22474487139f, 0.0f,
1.0f, 2.22474487139f, -2.22474487139f, 0.0f,
0.0f, 1.1721513422464978f, -3.0862664687972017f, 0.0f,
0.0f, 3.0862664687972017f, -1.1721513422464978f, 0.0f,
-1.0f, 2.22474487139f, 2.22474487139f, 0.0f,
1.0f, 2.22474487139f, 2.22474487139f, 0.0f,
0.0f, 3.0862664687972017f, 1.1721513422464978f, 0.0f,
0.0f, 1.1721513422464978f, 3.0862664687972017f, 0.0f,
2.22474487139f, -2.22474487139f, -1.0f, 0.0f,
2.22474487139f, -2.22474487139f, 1.0f, 0.0f,
1.1721513422464978f, -3.0862664687972017f, 0.0f, 0.0f,
3.0862664687972017f, -1.1721513422464978f, 0.0f, 0.0f,
2.22474487139f, -1.0f, -2.22474487139f, 0.0f,
2.22474487139f, 1.0f, -2.22474487139f, 0.0f,
3.0862664687972017f, 0.0f, -1.1721513422464978f, 0.0f,
1.1721513422464978f, 0.0f, -3.0862664687972017f, 0.0f,
2.22474487139f, -1.0f, 2.22474487139f, 0.0f,
2.22474487139f, 1.0f, 2.22474487139f, 0.0f,
1.1721513422464978f, 0.0f, 3.0862664687972017f, 0.0f,
3.0862664687972017f, 0.0f, 1.1721513422464978f, 0.0f,
};
for (int i = 0; i < grad3.length; i++) {
grad3[i] = (float)(grad3[i] / NORMALIZER_3D);
}
for (int i = 0, j = 0; i < GRADIENTS_3D.length; i++, j++) {
if (j == grad3.length) j = 0;
GRADIENTS_3D[i] = grad3[j];
}
GRADIENTS_4D = new float[N_GRADS_4D * 4];
float[] grad4 = {
-0.6740059517812944f, -0.3239847771997537f, -0.3239847771997537f, 0.5794684678643381f,
-0.7504883828755602f, -0.4004672082940195f, 0.15296486218853164f, 0.5029860367700724f,
-0.7504883828755602f, 0.15296486218853164f, -0.4004672082940195f, 0.5029860367700724f,
-0.8828161875373585f, 0.08164729285680945f, 0.08164729285680945f, 0.4553054119602712f,
-0.4553054119602712f, -0.08164729285680945f, -0.08164729285680945f, 0.8828161875373585f,
-0.5029860367700724f, -0.15296486218853164f, 0.4004672082940195f, 0.7504883828755602f,
-0.5029860367700724f, 0.4004672082940195f, -0.15296486218853164f, 0.7504883828755602f,
-0.5794684678643381f, 0.3239847771997537f, 0.3239847771997537f, 0.6740059517812944f,
-0.6740059517812944f, -0.3239847771997537f, 0.5794684678643381f, -0.3239847771997537f,
-0.7504883828755602f, -0.4004672082940195f, 0.5029860367700724f, 0.15296486218853164f,
-0.7504883828755602f, 0.15296486218853164f, 0.5029860367700724f, -0.4004672082940195f,
-0.8828161875373585f, 0.08164729285680945f, 0.4553054119602712f, 0.08164729285680945f,
-0.4553054119602712f, -0.08164729285680945f, 0.8828161875373585f, -0.08164729285680945f,
-0.5029860367700724f, -0.15296486218853164f, 0.7504883828755602f, 0.4004672082940195f,
-0.5029860367700724f, 0.4004672082940195f, 0.7504883828755602f, -0.15296486218853164f,
-0.5794684678643381f, 0.3239847771997537f, 0.6740059517812944f, 0.3239847771997537f,
-0.6740059517812944f, 0.5794684678643381f, -0.3239847771997537f, -0.3239847771997537f,
-0.7504883828755602f, 0.5029860367700724f, -0.4004672082940195f, 0.15296486218853164f,
-0.7504883828755602f, 0.5029860367700724f, 0.15296486218853164f, -0.4004672082940195f,
-0.8828161875373585f, 0.4553054119602712f, 0.08164729285680945f, 0.08164729285680945f,
-0.4553054119602712f, 0.8828161875373585f, -0.08164729285680945f, -0.08164729285680945f,
-0.5029860367700724f, 0.7504883828755602f, -0.15296486218853164f, 0.4004672082940195f,
-0.5029860367700724f, 0.7504883828755602f, 0.4004672082940195f, -0.15296486218853164f,
-0.5794684678643381f, 0.6740059517812944f, 0.3239847771997537f, 0.3239847771997537f,
0.5794684678643381f, -0.6740059517812944f, -0.3239847771997537f, -0.3239847771997537f,
0.5029860367700724f, -0.7504883828755602f, -0.4004672082940195f, 0.15296486218853164f,
0.5029860367700724f, -0.7504883828755602f, 0.15296486218853164f, -0.4004672082940195f,
0.4553054119602712f, -0.8828161875373585f, 0.08164729285680945f, 0.08164729285680945f,
0.8828161875373585f, -0.4553054119602712f, -0.08164729285680945f, -0.08164729285680945f,
0.7504883828755602f, -0.5029860367700724f, -0.15296486218853164f, 0.4004672082940195f,
0.7504883828755602f, -0.5029860367700724f, 0.4004672082940195f, -0.15296486218853164f,
0.6740059517812944f, -0.5794684678643381f, 0.3239847771997537f, 0.3239847771997537f,
//------------------------------------------------------------------------------------------//
-0.753341017856078f, -0.37968289875261624f, -0.37968289875261624f, -0.37968289875261624f,
-0.7821684431180708f, -0.4321472685365301f, -0.4321472685365301f, 0.12128480194602098f,
-0.7821684431180708f, -0.4321472685365301f, 0.12128480194602098f, -0.4321472685365301f,
-0.7821684431180708f, 0.12128480194602098f, -0.4321472685365301f, -0.4321472685365301f,
-0.8586508742123365f, -0.508629699630796f, 0.044802370851755174f, 0.044802370851755174f,
-0.8586508742123365f, 0.044802370851755174f, -0.508629699630796f, 0.044802370851755174f,
-0.8586508742123365f, 0.044802370851755174f, 0.044802370851755174f, -0.508629699630796f,
-0.9982828964265062f, -0.03381941603233842f, -0.03381941603233842f, -0.03381941603233842f,
-0.37968289875261624f, -0.753341017856078f, -0.37968289875261624f, -0.37968289875261624f,
-0.4321472685365301f, -0.7821684431180708f, -0.4321472685365301f, 0.12128480194602098f,
-0.4321472685365301f, -0.7821684431180708f, 0.12128480194602098f, -0.4321472685365301f,
0.12128480194602098f, -0.7821684431180708f, -0.4321472685365301f, -0.4321472685365301f,
-0.508629699630796f, -0.8586508742123365f, 0.044802370851755174f, 0.044802370851755174f,
0.044802370851755174f, -0.8586508742123365f, -0.508629699630796f, 0.044802370851755174f,
0.044802370851755174f, -0.8586508742123365f, 0.044802370851755174f, -0.508629699630796f,
-0.03381941603233842f, -0.9982828964265062f, -0.03381941603233842f, -0.03381941603233842f,
-0.37968289875261624f, -0.37968289875261624f, -0.753341017856078f, -0.37968289875261624f,
-0.4321472685365301f, -0.4321472685365301f, -0.7821684431180708f, 0.12128480194602098f,
-0.4321472685365301f, 0.12128480194602098f, -0.7821684431180708f, -0.4321472685365301f,
0.12128480194602098f, -0.4321472685365301f, -0.7821684431180708f, -0.4321472685365301f,
-0.508629699630796f, 0.044802370851755174f, -0.8586508742123365f, 0.044802370851755174f,
0.044802370851755174f, -0.508629699630796f, -0.8586508742123365f, 0.044802370851755174f,
0.044802370851755174f, 0.044802370851755174f, -0.8586508742123365f, -0.508629699630796f,
-0.03381941603233842f, -0.03381941603233842f, -0.9982828964265062f, -0.03381941603233842f,
-0.37968289875261624f, -0.37968289875261624f, -0.37968289875261624f, -0.753341017856078f,
-0.4321472685365301f, -0.4321472685365301f, 0.12128480194602098f, -0.7821684431180708f,
-0.4321472685365301f, 0.12128480194602098f, -0.4321472685365301f, -0.7821684431180708f,
0.12128480194602098f, -0.4321472685365301f, -0.4321472685365301f, -0.7821684431180708f,
-0.508629699630796f, 0.044802370851755174f, 0.044802370851755174f, -0.8586508742123365f,
0.044802370851755174f, -0.508629699630796f, 0.044802370851755174f, -0.8586508742123365f,
0.044802370851755174f, 0.044802370851755174f, -0.508629699630796f, -0.8586508742123365f,
-0.03381941603233842f, -0.03381941603233842f, -0.03381941603233842f, -0.9982828964265062f,
-0.3239847771997537f, -0.6740059517812944f, -0.3239847771997537f, 0.5794684678643381f,
-0.4004672082940195f, -0.7504883828755602f, 0.15296486218853164f, 0.5029860367700724f,
0.15296486218853164f, -0.7504883828755602f, -0.4004672082940195f, 0.5029860367700724f,
0.08164729285680945f, -0.8828161875373585f, 0.08164729285680945f, 0.4553054119602712f,
-0.08164729285680945f, -0.4553054119602712f, -0.08164729285680945f, 0.8828161875373585f,
-0.15296486218853164f, -0.5029860367700724f, 0.4004672082940195f, 0.7504883828755602f,
0.4004672082940195f, -0.5029860367700724f, -0.15296486218853164f, 0.7504883828755602f,
0.3239847771997537f, -0.5794684678643381f, 0.3239847771997537f, 0.6740059517812944f,
-0.3239847771997537f, -0.3239847771997537f, -0.6740059517812944f, 0.5794684678643381f,
-0.4004672082940195f, 0.15296486218853164f, -0.7504883828755602f, 0.5029860367700724f,
0.15296486218853164f, -0.4004672082940195f, -0.7504883828755602f, 0.5029860367700724f,
0.08164729285680945f, 0.08164729285680945f, -0.8828161875373585f, 0.4553054119602712f,
-0.08164729285680945f, -0.08164729285680945f, -0.4553054119602712f, 0.8828161875373585f,
-0.15296486218853164f, 0.4004672082940195f, -0.5029860367700724f, 0.7504883828755602f,
0.4004672082940195f, -0.15296486218853164f, -0.5029860367700724f, 0.7504883828755602f,
0.3239847771997537f, 0.3239847771997537f, -0.5794684678643381f, 0.6740059517812944f,
-0.3239847771997537f, -0.6740059517812944f, 0.5794684678643381f, -0.3239847771997537f,
-0.4004672082940195f, -0.7504883828755602f, 0.5029860367700724f, 0.15296486218853164f,
0.15296486218853164f, -0.7504883828755602f, 0.5029860367700724f, -0.4004672082940195f,
0.08164729285680945f, -0.8828161875373585f, 0.4553054119602712f, 0.08164729285680945f,
-0.08164729285680945f, -0.4553054119602712f, 0.8828161875373585f, -0.08164729285680945f,
-0.15296486218853164f, -0.5029860367700724f, 0.7504883828755602f, 0.4004672082940195f,
0.4004672082940195f, -0.5029860367700724f, 0.7504883828755602f, -0.15296486218853164f,
0.3239847771997537f, -0.5794684678643381f, 0.6740059517812944f, 0.3239847771997537f,
-0.3239847771997537f, -0.3239847771997537f, 0.5794684678643381f, -0.6740059517812944f,
-0.4004672082940195f, 0.15296486218853164f, 0.5029860367700724f, -0.7504883828755602f,
0.15296486218853164f, -0.4004672082940195f, 0.5029860367700724f, -0.7504883828755602f,
0.08164729285680945f, 0.08164729285680945f, 0.4553054119602712f, -0.8828161875373585f,
-0.08164729285680945f, -0.08164729285680945f, 0.8828161875373585f, -0.4553054119602712f,
-0.15296486218853164f, 0.4004672082940195f, 0.7504883828755602f, -0.5029860367700724f,
0.4004672082940195f, -0.15296486218853164f, 0.7504883828755602f, -0.5029860367700724f,
0.3239847771997537f, 0.3239847771997537f, 0.6740059517812944f, -0.5794684678643381f,
-0.3239847771997537f, 0.5794684678643381f, -0.6740059517812944f, -0.3239847771997537f,
-0.4004672082940195f, 0.5029860367700724f, -0.7504883828755602f, 0.15296486218853164f,
0.15296486218853164f, 0.5029860367700724f, -0.7504883828755602f, -0.4004672082940195f,
0.08164729285680945f, 0.4553054119602712f, -0.8828161875373585f, 0.08164729285680945f,
-0.08164729285680945f, 0.8828161875373585f, -0.4553054119602712f, -0.08164729285680945f,
-0.15296486218853164f, 0.7504883828755602f, -0.5029860367700724f, 0.4004672082940195f,
0.4004672082940195f, 0.7504883828755602f, -0.5029860367700724f, -0.15296486218853164f,
0.3239847771997537f, 0.6740059517812944f, -0.5794684678643381f, 0.3239847771997537f,
-0.3239847771997537f, 0.5794684678643381f, -0.3239847771997537f, -0.6740059517812944f,
-0.4004672082940195f, 0.5029860367700724f, 0.15296486218853164f, -0.7504883828755602f,
0.15296486218853164f, 0.5029860367700724f, -0.4004672082940195f, -0.7504883828755602f,
0.08164729285680945f, 0.4553054119602712f, 0.08164729285680945f, -0.8828161875373585f,
-0.08164729285680945f, 0.8828161875373585f, -0.08164729285680945f, -0.4553054119602712f,
-0.15296486218853164f, 0.7504883828755602f, 0.4004672082940195f, -0.5029860367700724f,
0.4004672082940195f, 0.7504883828755602f, -0.15296486218853164f, -0.5029860367700724f,
0.3239847771997537f, 0.6740059517812944f, 0.3239847771997537f, -0.5794684678643381f,
0.5794684678643381f, -0.3239847771997537f, -0.6740059517812944f, -0.3239847771997537f,
0.5029860367700724f, -0.4004672082940195f, -0.7504883828755602f, 0.15296486218853164f,
0.5029860367700724f, 0.15296486218853164f, -0.7504883828755602f, -0.4004672082940195f,
0.4553054119602712f, 0.08164729285680945f, -0.8828161875373585f, 0.08164729285680945f,
0.8828161875373585f, -0.08164729285680945f, -0.4553054119602712f, -0.08164729285680945f,
0.7504883828755602f, -0.15296486218853164f, -0.5029860367700724f, 0.4004672082940195f,
0.7504883828755602f, 0.4004672082940195f, -0.5029860367700724f, -0.15296486218853164f,
0.6740059517812944f, 0.3239847771997537f, -0.5794684678643381f, 0.3239847771997537f,
0.5794684678643381f, -0.3239847771997537f, -0.3239847771997537f, -0.6740059517812944f,
0.5029860367700724f, -0.4004672082940195f, 0.15296486218853164f, -0.7504883828755602f,
0.5029860367700724f, 0.15296486218853164f, -0.4004672082940195f, -0.7504883828755602f,
0.4553054119602712f, 0.08164729285680945f, 0.08164729285680945f, -0.8828161875373585f,
0.8828161875373585f, -0.08164729285680945f, -0.08164729285680945f, -0.4553054119602712f,
0.7504883828755602f, -0.15296486218853164f, 0.4004672082940195f, -0.5029860367700724f,
0.7504883828755602f, 0.4004672082940195f, -0.15296486218853164f, -0.5029860367700724f,
0.6740059517812944f, 0.3239847771997537f, 0.3239847771997537f, -0.5794684678643381f,
0.03381941603233842f, 0.03381941603233842f, 0.03381941603233842f, 0.9982828964265062f,
-0.044802370851755174f, -0.044802370851755174f, 0.508629699630796f, 0.8586508742123365f,
-0.044802370851755174f, 0.508629699630796f, -0.044802370851755174f, 0.8586508742123365f,
-0.12128480194602098f, 0.4321472685365301f, 0.4321472685365301f, 0.7821684431180708f,
0.508629699630796f, -0.044802370851755174f, -0.044802370851755174f, 0.8586508742123365f,
0.4321472685365301f, -0.12128480194602098f, 0.4321472685365301f, 0.7821684431180708f,
0.4321472685365301f, 0.4321472685365301f, -0.12128480194602098f, 0.7821684431180708f,
0.37968289875261624f, 0.37968289875261624f, 0.37968289875261624f, 0.753341017856078f,
0.03381941603233842f, 0.03381941603233842f, 0.9982828964265062f, 0.03381941603233842f,
-0.044802370851755174f, 0.044802370851755174f, 0.8586508742123365f, 0.508629699630796f,
-0.044802370851755174f, 0.508629699630796f, 0.8586508742123365f, -0.044802370851755174f,
-0.12128480194602098f, 0.4321472685365301f, 0.7821684431180708f, 0.4321472685365301f,
0.508629699630796f, -0.044802370851755174f, 0.8586508742123365f, -0.044802370851755174f,
0.4321472685365301f, -0.12128480194602098f, 0.7821684431180708f, 0.4321472685365301f,
0.4321472685365301f, 0.4321472685365301f, 0.7821684431180708f, -0.12128480194602098f,
0.37968289875261624f, 0.37968289875261624f, 0.753341017856078f, 0.37968289875261624f,
0.03381941603233842f, 0.9982828964265062f, 0.03381941603233842f, 0.03381941603233842f,
-0.044802370851755174f, 0.8586508742123365f, -0.044802370851755174f, 0.508629699630796f,
-0.044802370851755174f, 0.8586508742123365f, 0.508629699630796f, -0.044802370851755174f,
-0.12128480194602098f, 0.7821684431180708f, 0.4321472685365301f, 0.4321472685365301f,
0.508629699630796f, 0.8586508742123365f, -0.044802370851755174f, -0.044802370851755174f,
0.4321472685365301f, 0.7821684431180708f, -0.12128480194602098f, 0.4321472685365301f,
0.4321472685365301f, 0.7821684431180708f, 0.4321472685365301f, -0.12128480194602098f,
0.37968289875261624f, 0.753341017856078f, 0.37968289875261624f, 0.37968289875261624f,
0.9982828964265062f, 0.03381941603233842f, 0.03381941603233842f, 0.03381941603233842f,
0.8586508742123365f, -0.044802370851755174f, -0.044802370851755174f, 0.508629699630796f,
0.8586508742123365f, -0.044802370851755174f, 0.508629699630796f, -0.044802370851755174f,
0.7821684431180708f, -0.12128480194602098f, 0.4321472685365301f, 0.4321472685365301f,
0.8586508742123365f, 0.508629699630796f, -0.044802370851755174f, -0.044802370851755174f,
0.7821684431180708f, 0.4321472685365301f, -0.12128480194602098f, 0.4321472685365301f,
0.7821684431180708f, 0.4321472685365301f, 0.4321472685365301f, -0.12128480194602098f,
0.753341017856078f, 0.37968289875261624f, 0.37968289875261624f, 0.37968289875261624f,
};
for (int i = 0; i < grad4.length; i++) {
grad4[i] = (float)(grad4[i] / NORMALIZER_4D);
}
for (int i = 0, j = 0; i < GRADIENTS_4D.length; i++, j++) {
if (j == grad4.length) j = 0;
GRADIENTS_4D[i] = grad4[j];
}
int[][] lookup4DVertexCodes = {
new int[] { 0x15, 0x45, 0x51, 0x54, 0x55, 0x56, 0x59, 0x5A, 0x65, 0x66, 0x69, 0x6A, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA },
new int[] { 0x15, 0x45, 0x51, 0x55, 0x56, 0x59, 0x5A, 0x65, 0x66, 0x6A, 0x95, 0x96, 0x9A, 0xA6, 0xAA },
new int[] { 0x01, 0x05, 0x11, 0x15, 0x41, 0x45, 0x51, 0x55, 0x56, 0x5A, 0x66, 0x6A, 0x96, 0x9A, 0xA6, 0xAA },
new int[] { 0x01, 0x15, 0x16, 0x45, 0x46, 0x51, 0x52, 0x55, 0x56, 0x5A, 0x66, 0x6A, 0x96, 0x9A, 0xA6, 0xAA, 0xAB },
new int[] { 0x15, 0x45, 0x54, 0x55, 0x56, 0x59, 0x5A, 0x65, 0x69, 0x6A, 0x95, 0x99, 0x9A, 0xA9, 0xAA },
new int[] { 0x05, 0x15, 0x45, 0x55, 0x56, 0x59, 0x5A, 0x65, 0x66, 0x69, 0x6A, 0x95, 0x96, 0x99, 0x9A, 0xAA },
new int[] { 0x05, 0x15, 0x45, 0x55, 0x56, 0x59, 0x5A, 0x66, 0x6A, 0x96, 0x9A, 0xAA },
new int[] { 0x05, 0x15, 0x16, 0x45, 0x46, 0x55, 0x56, 0x59, 0x5A, 0x66, 0x6A, 0x96, 0x9A, 0xAA, 0xAB },
new int[] { 0x04, 0x05, 0x14, 0x15, 0x44, 0x45, 0x54, 0x55, 0x59, 0x5A, 0x69, 0x6A, 0x99, 0x9A, 0xA9, 0xAA },
new int[] { 0x05, 0x15, 0x45, 0x55, 0x56, 0x59, 0x5A, 0x69, 0x6A, 0x99, 0x9A, 0xAA },
new int[] { 0x05, 0x15, 0x45, 0x55, 0x56, 0x59, 0x5A, 0x6A, 0x9A, 0xAA },
new int[] { 0x05, 0x15, 0x16, 0x45, 0x46, 0x55, 0x56, 0x59, 0x5A, 0x5B, 0x6A, 0x9A, 0xAA, 0xAB },
new int[] { 0x04, 0x15, 0x19, 0x45, 0x49, 0x54, 0x55, 0x58, 0x59, 0x5A, 0x69, 0x6A, 0x99, 0x9A, 0xA9, 0xAA, 0xAE },
new int[] { 0x05, 0x15, 0x19, 0x45, 0x49, 0x55, 0x56, 0x59, 0x5A, 0x69, 0x6A, 0x99, 0x9A, 0xAA, 0xAE },
new int[] { 0x05, 0x15, 0x19, 0x45, 0x49, 0x55, 0x56, 0x59, 0x5A, 0x5E, 0x6A, 0x9A, 0xAA, 0xAE },
new int[] { 0x05, 0x15, 0x1A, 0x45, 0x4A, 0x55, 0x56, 0x59, 0x5A, 0x5B, 0x5E, 0x6A, 0x9A, 0xAA, 0xAB, 0xAE, 0xAF },
new int[] { 0x15, 0x51, 0x54, 0x55, 0x56, 0x59, 0x65, 0x66, 0x69, 0x6A, 0x95, 0xA5, 0xA6, 0xA9, 0xAA },
new int[] { 0x11, 0x15, 0x51, 0x55, 0x56, 0x59, 0x5A, 0x65, 0x66, 0x69, 0x6A, 0x95, 0x96, 0xA5, 0xA6, 0xAA },
new int[] { 0x11, 0x15, 0x51, 0x55, 0x56, 0x5A, 0x65, 0x66, 0x6A, 0x96, 0xA6, 0xAA },
new int[] { 0x11, 0x15, 0x16, 0x51, 0x52, 0x55, 0x56, 0x5A, 0x65, 0x66, 0x6A, 0x96, 0xA6, 0xAA, 0xAB },
new int[] { 0x14, 0x15, 0x54, 0x55, 0x56, 0x59, 0x5A, 0x65, 0x66, 0x69, 0x6A, 0x95, 0x99, 0xA5, 0xA9, 0xAA },
new int[] { 0x15, 0x55, 0x56, 0x59, 0x5A, 0x65, 0x66, 0x69, 0x6A, 0x95, 0x9A, 0xA6, 0xA9, 0xAA },
new int[] { 0x15, 0x55, 0x56, 0x59, 0x5A, 0x65, 0x66, 0x69, 0x6A, 0x96, 0x9A, 0xA6, 0xAA, 0xAB },
new int[] { 0x15, 0x16, 0x55, 0x56, 0x5A, 0x66, 0x6A, 0x6B, 0x96, 0x9A, 0xA6, 0xAA, 0xAB },
new int[] { 0x14, 0x15, 0x54, 0x55, 0x59, 0x5A, 0x65, 0x69, 0x6A, 0x99, 0xA9, 0xAA },
new int[] { 0x15, 0x55, 0x56, 0x59, 0x5A, 0x65, 0x66, 0x69, 0x6A, 0x99, 0x9A, 0xA9, 0xAA, 0xAE },
new int[] { 0x15, 0x55, 0x56, 0x59, 0x5A, 0x65, 0x66, 0x69, 0x6A, 0x9A, 0xAA },
new int[] { 0x15, 0x16, 0x55, 0x56, 0x59, 0x5A, 0x66, 0x6A, 0x6B, 0x9A, 0xAA, 0xAB },
new int[] { 0x14, 0x15, 0x19, 0x54, 0x55, 0x58, 0x59, 0x5A, 0x65, 0x69, 0x6A, 0x99, 0xA9, 0xAA, 0xAE },
new int[] { 0x15, 0x19, 0x55, 0x59, 0x5A, 0x69, 0x6A, 0x6E, 0x99, 0x9A, 0xA9, 0xAA, 0xAE },
new int[] { 0x15, 0x19, 0x55, 0x56, 0x59, 0x5A, 0x69, 0x6A, 0x6E, 0x9A, 0xAA, 0xAE },
new int[] { 0x15, 0x1A, 0x55, 0x56, 0x59, 0x5A, 0x6A, 0x6B, 0x6E, 0x9A, 0xAA, 0xAB, 0xAE, 0xAF },
new int[] { 0x10, 0x11, 0x14, 0x15, 0x50, 0x51, 0x54, 0x55, 0x65, 0x66, 0x69, 0x6A, 0xA5, 0xA6, 0xA9, 0xAA },
new int[] { 0x11, 0x15, 0x51, 0x55, 0x56, 0x65, 0x66, 0x69, 0x6A, 0xA5, 0xA6, 0xAA },
new int[] { 0x11, 0x15, 0x51, 0x55, 0x56, 0x65, 0x66, 0x6A, 0xA6, 0xAA },
new int[] { 0x11, 0x15, 0x16, 0x51, 0x52, 0x55, 0x56, 0x65, 0x66, 0x67, 0x6A, 0xA6, 0xAA, 0xAB },
new int[] { 0x14, 0x15, 0x54, 0x55, 0x59, 0x65, 0x66, 0x69, 0x6A, 0xA5, 0xA9, 0xAA },
new int[] { 0x15, 0x55, 0x56, 0x59, 0x5A, 0x65, 0x66, 0x69, 0x6A, 0xA5, 0xA6, 0xA9, 0xAA, 0xBA },
new int[] { 0x15, 0x55, 0x56, 0x59, 0x5A, 0x65, 0x66, 0x69, 0x6A, 0xA6, 0xAA },
new int[] { 0x15, 0x16, 0x55, 0x56, 0x5A, 0x65, 0x66, 0x6A, 0x6B, 0xA6, 0xAA, 0xAB },
new int[] { 0x14, 0x15, 0x54, 0x55, 0x59, 0x65, 0x69, 0x6A, 0xA9, 0xAA },
new int[] { 0x15, 0x55, 0x56, 0x59, 0x5A, 0x65, 0x66, 0x69, 0x6A, 0xA9, 0xAA },
new int[] { 0x15, 0x55, 0x56, 0x59, 0x5A, 0x65, 0x66, 0x69, 0x6A, 0xAA },
new int[] { 0x15, 0x16, 0x55, 0x56, 0x59, 0x5A, 0x65, 0x66, 0x69, 0x6A, 0x6B, 0xAA, 0xAB },
new int[] { 0x14, 0x15, 0x19, 0x54, 0x55, 0x58, 0x59, 0x65, 0x69, 0x6A, 0x6D, 0xA9, 0xAA, 0xAE },
new int[] { 0x15, 0x19, 0x55, 0x59, 0x5A, 0x65, 0x69, 0x6A, 0x6E, 0xA9, 0xAA, 0xAE },
new int[] { 0x15, 0x19, 0x55, 0x56, 0x59, 0x5A, 0x65, 0x66, 0x69, 0x6A, 0x6E, 0xAA, 0xAE },
new int[] { 0x15, 0x55, 0x56, 0x59, 0x5A, 0x66, 0x69, 0x6A, 0x6B, 0x6E, 0x9A, 0xAA, 0xAB, 0xAE, 0xAF },
new int[] { 0x10, 0x15, 0x25, 0x51, 0x54, 0x55, 0x61, 0x64, 0x65, 0x66, 0x69, 0x6A, 0xA5, 0xA6, 0xA9, 0xAA, 0xBA },
new int[] { 0x11, 0x15, 0x25, 0x51, 0x55, 0x56, 0x61, 0x65, 0x66, 0x69, 0x6A, 0xA5, 0xA6, 0xAA, 0xBA },
new int[] { 0x11, 0x15, 0x25, 0x51, 0x55, 0x56, 0x61, 0x65, 0x66, 0x6A, 0x76, 0xA6, 0xAA, 0xBA },
new int[] { 0x11, 0x15, 0x26, 0x51, 0x55, 0x56, 0x62, 0x65, 0x66, 0x67, 0x6A, 0x76, 0xA6, 0xAA, 0xAB, 0xBA, 0xBB },
new int[] { 0x14, 0x15, 0x25, 0x54, 0x55, 0x59, 0x64, 0x65, 0x66, 0x69, 0x6A, 0xA5, 0xA9, 0xAA, 0xBA },
new int[] { 0x15, 0x25, 0x55, 0x65, 0x66, 0x69, 0x6A, 0x7A, 0xA5, 0xA6, 0xA9, 0xAA, 0xBA },
new int[] { 0x15, 0x25, 0x55, 0x56, 0x65, 0x66, 0x69, 0x6A, 0x7A, 0xA6, 0xAA, 0xBA },
new int[] { 0x15, 0x26, 0x55, 0x56, 0x65, 0x66, 0x6A, 0x6B, 0x7A, 0xA6, 0xAA, 0xAB, 0xBA, 0xBB },
new int[] { 0x14, 0x15, 0x25, 0x54, 0x55, 0x59, 0x64, 0x65, 0x69, 0x6A, 0x79, 0xA9, 0xAA, 0xBA },
new int[] { 0x15, 0x25, 0x55, 0x59, 0x65, 0x66, 0x69, 0x6A, 0x7A, 0xA9, 0xAA, 0xBA },
new int[] { 0x15, 0x25, 0x55, 0x56, 0x59, 0x5A, 0x65, 0x66, 0x69, 0x6A, 0x7A, 0xAA, 0xBA },
new int[] { 0x15, 0x55, 0x56, 0x5A, 0x65, 0x66, 0x69, 0x6A, 0x6B, 0x7A, 0xA6, 0xAA, 0xAB, 0xBA, 0xBB },
new int[] { 0x14, 0x15, 0x29, 0x54, 0x55, 0x59, 0x65, 0x68, 0x69, 0x6A, 0x6D, 0x79, 0xA9, 0xAA, 0xAE, 0xBA, 0xBE },
new int[] { 0x15, 0x29, 0x55, 0x59, 0x65, 0x69, 0x6A, 0x6E, 0x7A, 0xA9, 0xAA, 0xAE, 0xBA, 0xBE },
new int[] { 0x15, 0x55, 0x59, 0x5A, 0x65, 0x66, 0x69, 0x6A, 0x6E, 0x7A, 0xA9, 0xAA, 0xAE, 0xBA, 0xBE },
new int[] { 0x15, 0x55, 0x56, 0x59, 0x5A, 0x65, 0x66, 0x69, 0x6A, 0x6B, 0x6E, 0x7A, 0xAA, 0xAB, 0xAE, 0xBA, 0xBF },
new int[] { 0x45, 0x51, 0x54, 0x55, 0x56, 0x59, 0x65, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA },
new int[] { 0x41, 0x45, 0x51, 0x55, 0x56, 0x59, 0x5A, 0x65, 0x66, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA6, 0xAA },
new int[] { 0x41, 0x45, 0x51, 0x55, 0x56, 0x5A, 0x66, 0x95, 0x96, 0x9A, 0xA6, 0xAA },
new int[] { 0x41, 0x45, 0x46, 0x51, 0x52, 0x55, 0x56, 0x5A, 0x66, 0x95, 0x96, 0x9A, 0xA6, 0xAA, 0xAB },
new int[] { 0x44, 0x45, 0x54, 0x55, 0x56, 0x59, 0x5A, 0x65, 0x69, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA9, 0xAA },
new int[] { 0x45, 0x55, 0x56, 0x59, 0x5A, 0x65, 0x6A, 0x95, 0x96, 0x99, 0x9A, 0xA6, 0xA9, 0xAA },
new int[] { 0x45, 0x55, 0x56, 0x59, 0x5A, 0x66, 0x6A, 0x95, 0x96, 0x99, 0x9A, 0xA6, 0xAA, 0xAB },
new int[] { 0x45, 0x46, 0x55, 0x56, 0x5A, 0x66, 0x6A, 0x96, 0x9A, 0x9B, 0xA6, 0xAA, 0xAB },
new int[] { 0x44, 0x45, 0x54, 0x55, 0x59, 0x5A, 0x69, 0x95, 0x99, 0x9A, 0xA9, 0xAA },
new int[] { 0x45, 0x55, 0x56, 0x59, 0x5A, 0x69, 0x6A, 0x95, 0x96, 0x99, 0x9A, 0xA9, 0xAA, 0xAE },
new int[] { 0x45, 0x55, 0x56, 0x59, 0x5A, 0x6A, 0x95, 0x96, 0x99, 0x9A, 0xAA },
new int[] { 0x45, 0x46, 0x55, 0x56, 0x59, 0x5A, 0x6A, 0x96, 0x9A, 0x9B, 0xAA, 0xAB },
new int[] { 0x44, 0x45, 0x49, 0x54, 0x55, 0x58, 0x59, 0x5A, 0x69, 0x95, 0x99, 0x9A, 0xA9, 0xAA, 0xAE },
new int[] { 0x45, 0x49, 0x55, 0x59, 0x5A, 0x69, 0x6A, 0x99, 0x9A, 0x9E, 0xA9, 0xAA, 0xAE },
new int[] { 0x45, 0x49, 0x55, 0x56, 0x59, 0x5A, 0x6A, 0x99, 0x9A, 0x9E, 0xAA, 0xAE },
new int[] { 0x45, 0x4A, 0x55, 0x56, 0x59, 0x5A, 0x6A, 0x9A, 0x9B, 0x9E, 0xAA, 0xAB, 0xAE, 0xAF },
new int[] { 0x50, 0x51, 0x54, 0x55, 0x56, 0x59, 0x65, 0x66, 0x69, 0x95, 0x96, 0x99, 0xA5, 0xA6, 0xA9, 0xAA },
new int[] { 0x51, 0x55, 0x56, 0x59, 0x65, 0x66, 0x6A, 0x95, 0x96, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA },
new int[] { 0x51, 0x55, 0x56, 0x5A, 0x65, 0x66, 0x6A, 0x95, 0x96, 0x9A, 0xA5, 0xA6, 0xAA, 0xAB },
new int[] { 0x51, 0x52, 0x55, 0x56, 0x5A, 0x66, 0x6A, 0x96, 0x9A, 0xA6, 0xA7, 0xAA, 0xAB },
new int[] { 0x54, 0x55, 0x56, 0x59, 0x65, 0x69, 0x6A, 0x95, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA },
new int[] { 0x55, 0x56, 0x59, 0x5A, 0x65, 0x66, 0x69, 0x6A, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA },
new int[] { 0x15, 0x45, 0x51, 0x55, 0x56, 0x59, 0x5A, 0x65, 0x66, 0x6A, 0x95, 0x96, 0x9A, 0xA6, 0xAA, 0xAB },
new int[] { 0x55, 0x56, 0x5A, 0x66, 0x6A, 0x96, 0x9A, 0xA6, 0xAA, 0xAB },
new int[] { 0x54, 0x55, 0x59, 0x5A, 0x65, 0x69, 0x6A, 0x95, 0x99, 0x9A, 0xA5, 0xA9, 0xAA, 0xAE },
new int[] { 0x15, 0x45, 0x54, 0x55, 0x56, 0x59, 0x5A, 0x65, 0x69, 0x6A, 0x95, 0x99, 0x9A, 0xA9, 0xAA, 0xAE },
new int[] { 0x15, 0x45, 0x55, 0x56, 0x59, 0x5A, 0x65, 0x66, 0x69, 0x6A, 0x95, 0x96, 0x99, 0x9A, 0xA6, 0xA9, 0xAA, 0xAB, 0xAE },
new int[] { 0x55, 0x56, 0x59, 0x5A, 0x66, 0x6A, 0x96, 0x9A, 0xA6, 0xAA, 0xAB },
new int[] { 0x54, 0x55, 0x58, 0x59, 0x5A, 0x69, 0x6A, 0x99, 0x9A, 0xA9, 0xAA, 0xAD, 0xAE },
new int[] { 0x55, 0x59, 0x5A, 0x69, 0x6A, 0x99, 0x9A, 0xA9, 0xAA, 0xAE },
new int[] { 0x55, 0x56, 0x59, 0x5A, 0x69, 0x6A, 0x99, 0x9A, 0xA9, 0xAA, 0xAE },
new int[] { 0x55, 0x56, 0x59, 0x5A, 0x6A, 0x9A, 0xAA, 0xAB, 0xAE, 0xAF },
new int[] { 0x50, 0x51, 0x54, 0x55, 0x65, 0x66, 0x69, 0x95, 0xA5, 0xA6, 0xA9, 0xAA },
new int[] { 0x51, 0x55, 0x56, 0x65, 0x66, 0x69, 0x6A, 0x95, 0x96, 0xA5, 0xA6, 0xA9, 0xAA, 0xBA },
new int[] { 0x51, 0x55, 0x56, 0x65, 0x66, 0x6A, 0x95, 0x96, 0xA5, 0xA6, 0xAA },
new int[] { 0x51, 0x52, 0x55, 0x56, 0x65, 0x66, 0x6A, 0x96, 0xA6, 0xA7, 0xAA, 0xAB },
new int[] { 0x54, 0x55, 0x59, 0x65, 0x66, 0x69, 0x6A, 0x95, 0x99, 0xA5, 0xA6, 0xA9, 0xAA, 0xBA },
new int[] { 0x15, 0x51, 0x54, 0x55, 0x56, 0x59, 0x65, 0x66, 0x69, 0x6A, 0x95, 0xA5, 0xA6, 0xA9, 0xAA, 0xBA },
new int[] { 0x15, 0x51, 0x55, 0x56, 0x59, 0x5A, 0x65, 0x66, 0x69, 0x6A, 0x95, 0x96, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xAB, 0xBA },
new int[] { 0x55, 0x56, 0x5A, 0x65, 0x66, 0x6A, 0x96, 0x9A, 0xA6, 0xAA, 0xAB },
new int[] { 0x54, 0x55, 0x59, 0x65, 0x69, 0x6A, 0x95, 0x99, 0xA5, 0xA9, 0xAA },
new int[] { 0x15, 0x54, 0x55, 0x56, 0x59, 0x5A, 0x65, 0x66, 0x69, 0x6A, 0x95, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xAE, 0xBA },
new int[] { 0x15, 0x55, 0x56, 0x59, 0x5A, 0x65, 0x66, 0x69, 0x6A, 0x9A, 0xA6, 0xA9, 0xAA },
new int[] { 0x15, 0x55, 0x56, 0x59, 0x5A, 0x65, 0x66, 0x69, 0x6A, 0x96, 0x9A, 0xA6, 0xAA, 0xAB },
new int[] { 0x54, 0x55, 0x58, 0x59, 0x65, 0x69, 0x6A, 0x99, 0xA9, 0xAA, 0xAD, 0xAE },
new int[] { 0x55, 0x59, 0x5A, 0x65, 0x69, 0x6A, 0x99, 0x9A, 0xA9, 0xAA, 0xAE },
new int[] { 0x15, 0x55, 0x56, 0x59, 0x5A, 0x65, 0x66, 0x69, 0x6A, 0x99, 0x9A, 0xA9, 0xAA, 0xAE },
new int[] { 0x15, 0x55, 0x56, 0x59, 0x5A, 0x66, 0x69, 0x6A, 0x9A, 0xAA, 0xAB, 0xAE, 0xAF },
new int[] { 0x50, 0x51, 0x54, 0x55, 0x61, 0x64, 0x65, 0x66, 0x69, 0x95, 0xA5, 0xA6, 0xA9, 0xAA, 0xBA },
new int[] { 0x51, 0x55, 0x61, 0x65, 0x66, 0x69, 0x6A, 0xA5, 0xA6, 0xA9, 0xAA, 0xB6, 0xBA },
new int[] { 0x51, 0x55, 0x56, 0x61, 0x65, 0x66, 0x6A, 0xA5, 0xA6, 0xAA, 0xB6, 0xBA },
new int[] { 0x51, 0x55, 0x56, 0x62, 0x65, 0x66, 0x6A, 0xA6, 0xA7, 0xAA, 0xAB, 0xB6, 0xBA, 0xBB },
new int[] { 0x54, 0x55, 0x64, 0x65, 0x66, 0x69, 0x6A, 0xA5, 0xA6, 0xA9, 0xAA, 0xB9, 0xBA },
new int[] { 0x55, 0x65, 0x66, 0x69, 0x6A, 0xA5, 0xA6, 0xA9, 0xAA, 0xBA },
new int[] { 0x55, 0x56, 0x65, 0x66, 0x69, 0x6A, 0xA5, 0xA6, 0xA9, 0xAA, 0xBA },
new int[] { 0x55, 0x56, 0x65, 0x66, 0x6A, 0xA6, 0xAA, 0xAB, 0xBA, 0xBB },
new int[] { 0x54, 0x55, 0x59, 0x64, 0x65, 0x69, 0x6A, 0xA5, 0xA9, 0xAA, 0xB9, 0xBA },
new int[] { 0x55, 0x59, 0x65, 0x66, 0x69, 0x6A, 0xA5, 0xA6, 0xA9, 0xAA, 0xBA },
new int[] { 0x15, 0x55, 0x56, 0x59, 0x5A, 0x65, 0x66, 0x69, 0x6A, 0xA5, 0xA6, 0xA9, 0xAA, 0xBA },
new int[] { 0x15, 0x55, 0x56, 0x5A, 0x65, 0x66, 0x69, 0x6A, 0xA6, 0xAA, 0xAB, 0xBA, 0xBB },
new int[] { 0x54, 0x55, 0x59, 0x65, 0x68, 0x69, 0x6A, 0xA9, 0xAA, 0xAD, 0xAE, 0xB9, 0xBA, 0xBE },
new int[] { 0x55, 0x59, 0x65, 0x69, 0x6A, 0xA9, 0xAA, 0xAE, 0xBA, 0xBE },
new int[] { 0x15, 0x55, 0x59, 0x5A, 0x65, 0x66, 0x69, 0x6A, 0xA9, 0xAA, 0xAE, 0xBA, 0xBE },
new int[] { 0x55, 0x56, 0x59, 0x5A, 0x65, 0x66, 0x69, 0x6A, 0xAA, 0xAB, 0xAE, 0xBA, 0xBF },
new int[] { 0x40, 0x41, 0x44, 0x45, 0x50, 0x51, 0x54, 0x55, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA },
new int[] { 0x41, 0x45, 0x51, 0x55, 0x56, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA6, 0xAA },
new int[] { 0x41, 0x45, 0x51, 0x55, 0x56, 0x95, 0x96, 0x9A, 0xA6, 0xAA },
new int[] { 0x41, 0x45, 0x46, 0x51, 0x52, 0x55, 0x56, 0x95, 0x96, 0x97, 0x9A, 0xA6, 0xAA, 0xAB },
new int[] { 0x44, 0x45, 0x54, 0x55, 0x59, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA9, 0xAA },
new int[] { 0x45, 0x55, 0x56, 0x59, 0x5A, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xEA },
new int[] { 0x45, 0x55, 0x56, 0x59, 0x5A, 0x95, 0x96, 0x99, 0x9A, 0xA6, 0xAA },
new int[] { 0x45, 0x46, 0x55, 0x56, 0x5A, 0x95, 0x96, 0x9A, 0x9B, 0xA6, 0xAA, 0xAB },
new int[] { 0x44, 0x45, 0x54, 0x55, 0x59, 0x95, 0x99, 0x9A, 0xA9, 0xAA },
new int[] { 0x45, 0x55, 0x56, 0x59, 0x5A, 0x95, 0x96, 0x99, 0x9A, 0xA9, 0xAA },
new int[] { 0x45, 0x55, 0x56, 0x59, 0x5A, 0x95, 0x96, 0x99, 0x9A, 0xAA },
new int[] { 0x45, 0x46, 0x55, 0x56, 0x59, 0x5A, 0x95, 0x96, 0x99, 0x9A, 0x9B, 0xAA, 0xAB },
new int[] { 0x44, 0x45, 0x49, 0x54, 0x55, 0x58, 0x59, 0x95, 0x99, 0x9A, 0x9D, 0xA9, 0xAA, 0xAE },
new int[] { 0x45, 0x49, 0x55, 0x59, 0x5A, 0x95, 0x99, 0x9A, 0x9E, 0xA9, 0xAA, 0xAE },
new int[] { 0x45, 0x49, 0x55, 0x56, 0x59, 0x5A, 0x95, 0x96, 0x99, 0x9A, 0x9E, 0xAA, 0xAE },
new int[] { 0x45, 0x55, 0x56, 0x59, 0x5A, 0x6A, 0x96, 0x99, 0x9A, 0x9B, 0x9E, 0xAA, 0xAB, 0xAE, 0xAF },
new int[] { 0x50, 0x51, 0x54, 0x55, 0x65, 0x95, 0x96, 0x99, 0xA5, 0xA6, 0xA9, 0xAA },
new int[] { 0x51, 0x55, 0x56, 0x65, 0x66, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xEA },
new int[] { 0x51, 0x55, 0x56, 0x65, 0x66, 0x95, 0x96, 0x9A, 0xA5, 0xA6, 0xAA },
new int[] { 0x51, 0x52, 0x55, 0x56, 0x66, 0x95, 0x96, 0x9A, 0xA6, 0xA7, 0xAA, 0xAB },
new int[] { 0x54, 0x55, 0x59, 0x65, 0x69, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xEA },
new int[] { 0x45, 0x51, 0x54, 0x55, 0x56, 0x59, 0x65, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xEA },
new int[] { 0x45, 0x51, 0x55, 0x56, 0x59, 0x5A, 0x65, 0x66, 0x6A, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xAB, 0xEA },
new int[] { 0x55, 0x56, 0x5A, 0x66, 0x6A, 0x95, 0x96, 0x9A, 0xA6, 0xAA, 0xAB },
new int[] { 0x54, 0x55, 0x59, 0x65, 0x69, 0x95, 0x99, 0x9A, 0xA5, 0xA9, 0xAA },
new int[] { 0x45, 0x54, 0x55, 0x56, 0x59, 0x5A, 0x65, 0x69, 0x6A, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xAE, 0xEA },
new int[] { 0x45, 0x55, 0x56, 0x59, 0x5A, 0x6A, 0x95, 0x96, 0x99, 0x9A, 0xA6, 0xA9, 0xAA },
new int[] { 0x45, 0x55, 0x56, 0x59, 0x5A, 0x66, 0x6A, 0x95, 0x96, 0x99, 0x9A, 0xA6, 0xAA, 0xAB },
new int[] { 0x54, 0x55, 0x58, 0x59, 0x69, 0x95, 0x99, 0x9A, 0xA9, 0xAA, 0xAD, 0xAE },
new int[] { 0x55, 0x59, 0x5A, 0x69, 0x6A, 0x95, 0x99, 0x9A, 0xA9, 0xAA, 0xAE },
new int[] { 0x45, 0x55, 0x56, 0x59, 0x5A, 0x69, 0x6A, 0x95, 0x96, 0x99, 0x9A, 0xA9, 0xAA, 0xAE },
new int[] { 0x45, 0x55, 0x56, 0x59, 0x5A, 0x6A, 0x96, 0x99, 0x9A, 0xAA, 0xAB, 0xAE, 0xAF },
new int[] { 0x50, 0x51, 0x54, 0x55, 0x65, 0x95, 0xA5, 0xA6, 0xA9, 0xAA },
new int[] { 0x51, 0x55, 0x56, 0x65, 0x66, 0x95, 0x96, 0xA5, 0xA6, 0xA9, 0xAA },
new int[] { 0x51, 0x55, 0x56, 0x65, 0x66, 0x95, 0x96, 0xA5, 0xA6, 0xAA },
new int[] { 0x51, 0x52, 0x55, 0x56, 0x65, 0x66, 0x95, 0x96, 0xA5, 0xA6, 0xA7, 0xAA, 0xAB },
new int[] { 0x54, 0x55, 0x59, 0x65, 0x69, 0x95, 0x99, 0xA5, 0xA6, 0xA9, 0xAA },
new int[] { 0x51, 0x54, 0x55, 0x56, 0x59, 0x65, 0x66, 0x69, 0x6A, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xBA, 0xEA },
new int[] { 0x51, 0x55, 0x56, 0x65, 0x66, 0x6A, 0x95, 0x96, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA },
new int[] { 0x51, 0x55, 0x56, 0x5A, 0x65, 0x66, 0x6A, 0x95, 0x96, 0x9A, 0xA5, 0xA6, 0xAA, 0xAB },
new int[] { 0x54, 0x55, 0x59, 0x65, 0x69, 0x95, 0x99, 0xA5, 0xA9, 0xAA },
new int[] { 0x54, 0x55, 0x59, 0x65, 0x69, 0x6A, 0x95, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA },
new int[] { 0x55, 0x56, 0x59, 0x5A, 0x65, 0x66, 0x69, 0x6A, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA },
new int[] { 0x55, 0x56, 0x59, 0x5A, 0x65, 0x66, 0x6A, 0x95, 0x96, 0x9A, 0xA6, 0xA9, 0xAA, 0xAB },
new int[] { 0x54, 0x55, 0x58, 0x59, 0x65, 0x69, 0x95, 0x99, 0xA5, 0xA9, 0xAA, 0xAD, 0xAE },
new int[] { 0x54, 0x55, 0x59, 0x5A, 0x65, 0x69, 0x6A, 0x95, 0x99, 0x9A, 0xA5, 0xA9, 0xAA, 0xAE },
new int[] { 0x55, 0x56, 0x59, 0x5A, 0x65, 0x69, 0x6A, 0x95, 0x99, 0x9A, 0xA6, 0xA9, 0xAA, 0xAE },
new int[] { 0x55, 0x56, 0x59, 0x5A, 0x66, 0x69, 0x6A, 0x96, 0x99, 0x9A, 0xA6, 0xA9, 0xAA, 0xAB, 0xAE, 0xAF },
new int[] { 0x50, 0x51, 0x54, 0x55, 0x61, 0x64, 0x65, 0x95, 0xA5, 0xA6, 0xA9, 0xAA, 0xB5, 0xBA },
new int[] { 0x51, 0x55, 0x61, 0x65, 0x66, 0x95, 0xA5, 0xA6, 0xA9, 0xAA, 0xB6, 0xBA },
new int[] { 0x51, 0x55, 0x56, 0x61, 0x65, 0x66, 0x95, 0x96, 0xA5, 0xA6, 0xAA, 0xB6, 0xBA },
new int[] { 0x51, 0x55, 0x56, 0x65, 0x66, 0x6A, 0x96, 0xA5, 0xA6, 0xA7, 0xAA, 0xAB, 0xB6, 0xBA, 0xBB },
new int[] { 0x54, 0x55, 0x64, 0x65, 0x69, 0x95, 0xA5, 0xA6, 0xA9, 0xAA, 0xB9, 0xBA },
new int[] { 0x55, 0x65, 0x66, 0x69, 0x6A, 0x95, 0xA5, 0xA6, 0xA9, 0xAA, 0xBA },
new int[] { 0x51, 0x55, 0x56, 0x65, 0x66, 0x69, 0x6A, 0x95, 0x96, 0xA5, 0xA6, 0xA9, 0xAA, 0xBA },
new int[] { 0x51, 0x55, 0x56, 0x65, 0x66, 0x6A, 0x96, 0xA5, 0xA6, 0xAA, 0xAB, 0xBA, 0xBB },
new int[] { 0x54, 0x55, 0x59, 0x64, 0x65, 0x69, 0x95, 0x99, 0xA5, 0xA9, 0xAA, 0xB9, 0xBA },
new int[] { 0x54, 0x55, 0x59, 0x65, 0x66, 0x69, 0x6A, 0x95, 0x99, 0xA5, 0xA6, 0xA9, 0xAA, 0xBA },
new int[] { 0x55, 0x56, 0x59, 0x65, 0x66, 0x69, 0x6A, 0x95, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xBA },
new int[] { 0x55, 0x56, 0x5A, 0x65, 0x66, 0x69, 0x6A, 0x96, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xAB, 0xBA, 0xBB },
new int[] { 0x54, 0x55, 0x59, 0x65, 0x69, 0x6A, 0x99, 0xA5, 0xA9, 0xAA, 0xAD, 0xAE, 0xB9, 0xBA, 0xBE },
new int[] { 0x54, 0x55, 0x59, 0x65, 0x69, 0x6A, 0x99, 0xA5, 0xA9, 0xAA, 0xAE, 0xBA, 0xBE },
new int[] { 0x55, 0x59, 0x5A, 0x65, 0x66, 0x69, 0x6A, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xAE, 0xBA, 0xBE },
new int[] { 0x55, 0x56, 0x59, 0x5A, 0x65, 0x66, 0x69, 0x6A, 0x9A, 0xA6, 0xA9, 0xAA, 0xAB, 0xAE, 0xBA },
new int[] { 0x40, 0x45, 0x51, 0x54, 0x55, 0x85, 0x91, 0x94, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xEA },
new int[] { 0x41, 0x45, 0x51, 0x55, 0x56, 0x85, 0x91, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA6, 0xAA, 0xEA },
new int[] { 0x41, 0x45, 0x51, 0x55, 0x56, 0x85, 0x91, 0x95, 0x96, 0x9A, 0xA6, 0xAA, 0xD6, 0xEA },
new int[] { 0x41, 0x45, 0x51, 0x55, 0x56, 0x86, 0x92, 0x95, 0x96, 0x97, 0x9A, 0xA6, 0xAA, 0xAB, 0xD6, 0xEA, 0xEB },
new int[] { 0x44, 0x45, 0x54, 0x55, 0x59, 0x85, 0x94, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA9, 0xAA, 0xEA },
new int[] { 0x45, 0x55, 0x85, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xDA, 0xEA },
new int[] { 0x45, 0x55, 0x56, 0x85, 0x95, 0x96, 0x99, 0x9A, 0xA6, 0xAA, 0xDA, 0xEA },
new int[] { 0x45, 0x55, 0x56, 0x86, 0x95, 0x96, 0x9A, 0x9B, 0xA6, 0xAA, 0xAB, 0xDA, 0xEA, 0xEB },
new int[] { 0x44, 0x45, 0x54, 0x55, 0x59, 0x85, 0x94, 0x95, 0x99, 0x9A, 0xA9, 0xAA, 0xD9, 0xEA },
new int[] { 0x45, 0x55, 0x59, 0x85, 0x95, 0x96, 0x99, 0x9A, 0xA9, 0xAA, 0xDA, 0xEA },
new int[] { 0x45, 0x55, 0x56, 0x59, 0x5A, 0x85, 0x95, 0x96, 0x99, 0x9A, 0xAA, 0xDA, 0xEA },
new int[] { 0x45, 0x55, 0x56, 0x5A, 0x95, 0x96, 0x99, 0x9A, 0x9B, 0xA6, 0xAA, 0xAB, 0xDA, 0xEA, 0xEB },
new int[] { 0x44, 0x45, 0x54, 0x55, 0x59, 0x89, 0x95, 0x98, 0x99, 0x9A, 0x9D, 0xA9, 0xAA, 0xAE, 0xD9, 0xEA, 0xEE },
new int[] { 0x45, 0x55, 0x59, 0x89, 0x95, 0x99, 0x9A, 0x9E, 0xA9, 0xAA, 0xAE, 0xDA, 0xEA, 0xEE },
new int[] { 0x45, 0x55, 0x59, 0x5A, 0x95, 0x96, 0x99, 0x9A, 0x9E, 0xA9, 0xAA, 0xAE, 0xDA, 0xEA, 0xEE },
new int[] { 0x45, 0x55, 0x56, 0x59, 0x5A, 0x95, 0x96, 0x99, 0x9A, 0x9B, 0x9E, 0xAA, 0xAB, 0xAE, 0xDA, 0xEA, 0xEF },
new int[] { 0x50, 0x51, 0x54, 0x55, 0x65, 0x91, 0x94, 0x95, 0x96, 0x99, 0xA5, 0xA6, 0xA9, 0xAA, 0xEA },
new int[] { 0x51, 0x55, 0x91, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xE6, 0xEA },
new int[] { 0x51, 0x55, 0x56, 0x91, 0x95, 0x96, 0x9A, 0xA5, 0xA6, 0xAA, 0xE6, 0xEA },
new int[] { 0x51, 0x55, 0x56, 0x92, 0x95, 0x96, 0x9A, 0xA6, 0xA7, 0xAA, 0xAB, 0xE6, 0xEA, 0xEB },
new int[] { 0x54, 0x55, 0x94, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xE9, 0xEA },
new int[] { 0x55, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xEA },
new int[] { 0x55, 0x56, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xEA },
new int[] { 0x55, 0x56, 0x95, 0x96, 0x9A, 0xA6, 0xAA, 0xAB, 0xEA, 0xEB },
new int[] { 0x54, 0x55, 0x59, 0x94, 0x95, 0x99, 0x9A, 0xA5, 0xA9, 0xAA, 0xE9, 0xEA },
new int[] { 0x55, 0x59, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xEA },
new int[] { 0x45, 0x55, 0x56, 0x59, 0x5A, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xEA },
new int[] { 0x45, 0x55, 0x56, 0x5A, 0x95, 0x96, 0x99, 0x9A, 0xA6, 0xAA, 0xAB, 0xEA, 0xEB },
new int[] { 0x54, 0x55, 0x59, 0x95, 0x98, 0x99, 0x9A, 0xA9, 0xAA, 0xAD, 0xAE, 0xE9, 0xEA, 0xEE },
new int[] { 0x55, 0x59, 0x95, 0x99, 0x9A, 0xA9, 0xAA, 0xAE, 0xEA, 0xEE },
new int[] { 0x45, 0x55, 0x59, 0x5A, 0x95, 0x96, 0x99, 0x9A, 0xA9, 0xAA, 0xAE, 0xEA, 0xEE },
new int[] { 0x55, 0x56, 0x59, 0x5A, 0x95, 0x96, 0x99, 0x9A, 0xAA, 0xAB, 0xAE, 0xEA, 0xEF },
new int[] { 0x50, 0x51, 0x54, 0x55, 0x65, 0x91, 0x94, 0x95, 0xA5, 0xA6, 0xA9, 0xAA, 0xE5, 0xEA },
new int[] { 0x51, 0x55, 0x65, 0x91, 0x95, 0x96, 0xA5, 0xA6, 0xA9, 0xAA, 0xE6, 0xEA },
new int[] { 0x51, 0x55, 0x56, 0x65, 0x66, 0x91, 0x95, 0x96, 0xA5, 0xA6, 0xAA, 0xE6, 0xEA },
new int[] { 0x51, 0x55, 0x56, 0x66, 0x95, 0x96, 0x9A, 0xA5, 0xA6, 0xA7, 0xAA, 0xAB, 0xE6, 0xEA, 0xEB },
new int[] { 0x54, 0x55, 0x65, 0x94, 0x95, 0x99, 0xA5, 0xA6, 0xA9, 0xAA, 0xE9, 0xEA },
new int[] { 0x55, 0x65, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xEA },
new int[] { 0x51, 0x55, 0x56, 0x65, 0x66, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xEA },
new int[] { 0x51, 0x55, 0x56, 0x66, 0x95, 0x96, 0x9A, 0xA5, 0xA6, 0xAA, 0xAB, 0xEA, 0xEB },
new int[] { 0x54, 0x55, 0x59, 0x65, 0x69, 0x94, 0x95, 0x99, 0xA5, 0xA9, 0xAA, 0xE9, 0xEA },
new int[] { 0x54, 0x55, 0x59, 0x65, 0x69, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xEA },
new int[] { 0x55, 0x56, 0x59, 0x65, 0x6A, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xEA },
new int[] { 0x55, 0x56, 0x5A, 0x66, 0x6A, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xAB, 0xEA, 0xEB },
new int[] { 0x54, 0x55, 0x59, 0x69, 0x95, 0x99, 0x9A, 0xA5, 0xA9, 0xAA, 0xAD, 0xAE, 0xE9, 0xEA, 0xEE },
new int[] { 0x54, 0x55, 0x59, 0x69, 0x95, 0x99, 0x9A, 0xA5, 0xA9, 0xAA, 0xAE, 0xEA, 0xEE },
new int[] { 0x55, 0x59, 0x5A, 0x69, 0x6A, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xAE, 0xEA, 0xEE },
new int[] { 0x55, 0x56, 0x59, 0x5A, 0x6A, 0x95, 0x96, 0x99, 0x9A, 0xA6, 0xA9, 0xAA, 0xAB, 0xAE, 0xEA },
new int[] { 0x50, 0x51, 0x54, 0x55, 0x65, 0x95, 0xA1, 0xA4, 0xA5, 0xA6, 0xA9, 0xAA, 0xB5, 0xBA, 0xE5, 0xEA, 0xFA },
new int[] { 0x51, 0x55, 0x65, 0x95, 0xA1, 0xA5, 0xA6, 0xA9, 0xAA, 0xB6, 0xBA, 0xE6, 0xEA, 0xFA },
new int[] { 0x51, 0x55, 0x65, 0x66, 0x95, 0x96, 0xA5, 0xA6, 0xA9, 0xAA, 0xB6, 0xBA, 0xE6, 0xEA, 0xFA },
new int[] { 0x51, 0x55, 0x56, 0x65, 0x66, 0x95, 0x96, 0xA5, 0xA6, 0xA7, 0xAA, 0xAB, 0xB6, 0xBA, 0xE6, 0xEA, 0xFB },
new int[] { 0x54, 0x55, 0x65, 0x95, 0xA4, 0xA5, 0xA6, 0xA9, 0xAA, 0xB9, 0xBA, 0xE9, 0xEA, 0xFA },
new int[] { 0x55, 0x65, 0x95, 0xA5, 0xA6, 0xA9, 0xAA, 0xBA, 0xEA, 0xFA },
new int[] { 0x51, 0x55, 0x65, 0x66, 0x95, 0x96, 0xA5, 0xA6, 0xA9, 0xAA, 0xBA, 0xEA, 0xFA },
new int[] { 0x55, 0x56, 0x65, 0x66, 0x95, 0x96, 0xA5, 0xA6, 0xAA, 0xAB, 0xBA, 0xEA, 0xFB },
new int[] { 0x54, 0x55, 0x65, 0x69, 0x95, 0x99, 0xA5, 0xA6, 0xA9, 0xAA, 0xB9, 0xBA, 0xE9, 0xEA, 0xFA },
new int[] { 0x54, 0x55, 0x65, 0x69, 0x95, 0x99, 0xA5, 0xA6, 0xA9, 0xAA, 0xBA, 0xEA, 0xFA },
new int[] { 0x55, 0x65, 0x66, 0x69, 0x6A, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xBA, 0xEA, 0xFA },
new int[] { 0x55, 0x56, 0x65, 0x66, 0x6A, 0x95, 0x96, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xAB, 0xBA, 0xEA },
new int[] { 0x54, 0x55, 0x59, 0x65, 0x69, 0x95, 0x99, 0xA5, 0xA9, 0xAA, 0xAD, 0xAE, 0xB9, 0xBA, 0xE9, 0xEA, 0xFE },
new int[] { 0x55, 0x59, 0x65, 0x69, 0x95, 0x99, 0xA5, 0xA9, 0xAA, 0xAE, 0xBA, 0xEA, 0xFE },
new int[] { 0x55, 0x59, 0x65, 0x69, 0x6A, 0x95, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xAE, 0xBA, 0xEA },
new int[] { 0x55, 0x56, 0x59, 0x5A, 0x65, 0x66, 0x69, 0x6A, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xAB, 0xAE, 0xBA, 0xEA },
};
LatticeVertex4D[] latticeVerticesByCode = new LatticeVertex4D[256];
for (int i = 0; i < 256; i++) {
int cx = ((i >> 0) & 3) - 1;
int cy = ((i >> 2) & 3) - 1;
int cz = ((i >> 4) & 3) - 1;
int cw = ((i >> 6) & 3) - 1;
latticeVerticesByCode[i] = new LatticeVertex4D(cx, cy, cz, cw);
}
int nLatticeVerticesTotal = 0;
for (int i = 0; i < 256; i++) {
nLatticeVerticesTotal += lookup4DVertexCodes[i].length;
}
LOOKUP_4D_A = new int[256];
LOOKUP_4D_B = new LatticeVertex4D[nLatticeVerticesTotal];
for (int i = 0, j = 0; i < 256; i++) {
LOOKUP_4D_A[i] = j | ((j + lookup4DVertexCodes[i].length) << 16);
for (int k = 0; k < lookup4DVertexCodes[i].length; k++) {
LOOKUP_4D_B[j++] = latticeVerticesByCode[lookup4DVertexCodes[i][k]];
}
}
}
private static class LatticeVertex4D {
public final float dx, dy, dz, dw;
public final long xsvp, ysvp, zsvp, wsvp;
public LatticeVertex4D(int xsv, int ysv, int zsv, int wsv) {
this.xsvp = xsv * PRIME_X; this.ysvp = ysv * PRIME_Y;
this.zsvp = zsv * PRIME_Z; this.wsvp = wsv * PRIME_W;
float ssv = (xsv + ysv + zsv + wsv) * UNSKEW_4D;
this.dx = -xsv - ssv;
this.dy = -ysv - ssv;
this.dz = -zsv - ssv;
this.dw = -wsv - ssv;
}
}
}
Raw
OpenSimplexDemo.java
/*
* OpenSimplex2S Noise sample class.
*/
import java.awt.image.BufferedImage;
import javax.imageio.ImageIO;
import java.io.*;
public class OpenSimplexDemo
{
private static final long SEED = 0;
private static final int WIDTH = 512;
private static final int HEIGHT = 512;
private static final double FREQUENCY = 1.0 / 24.0;
public static void main(String[] args)
throws IOException {
BufferedImage image = new BufferedImage(WIDTH, HEIGHT, BufferedImage.TYPE_INT_RGB);
for (int y = 0; y < HEIGHT; y++)
{
for (int x = 0; x < WIDTH; x++)
{
double value = OpenSimplex2S.noise3_ImproveXY(SEED, x * FREQUENCY, y * FREQUENCY, 0.0);
int rgb = 0x010101 * (int)((value + 1) * 127.5);
image.setRGB(x, y, rgb);
}
}
ImageIO.write(image, "png", new File("noise.png"));
}
}
Raw
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@Manuel3115
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Very good code thanks ! Only 1 question : how do you decrease the amplitude of the noise ? I'm getting a lot of big spikes in the values. I'd rather have bigger clusters of similar values. Thank you !

@benlmyers
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This is amazing!

@FoxSamu
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FoxSamu commented Jun 16, 2020

Amazing! I use a modified version of this implementation in a small procedural terrain generator library: https://github.com/RedGalaxySW/Noise. Thanks a lot!

@MarcoCiaramella
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Thanks!
I made an Android library version from the latest revision
https://github.com/MarcoCiaramella/OpenSimplexNoise

@KdotJPG
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Author

KdotJPG commented Jul 28, 2020

@MarcoCiaramella Very cool! Out of curiosity, why not use the optimized version or even OpenSimplex2S? Either way I like that you continued with the public domain license.

@MarcoCiaramella
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@KdotJPG ok good thanks for your advice, I will do that!

@MarcoCiaramella
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C implementation https://github.com/MarcoCiaramella/OpenSimplex2

@MarcoCiaramella
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GPU implementation in OpenCL https://github.com/MarcoCiaramella/OpenSimplex2/tree/main/GPU/OpenCL

@Pentagonist
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Thank you for this code!

@erik-alm
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agree with Porama6400 interval should be betwwn -1 to 1, how to change code to get correct values?

Normalization? (or even split normalization depending on above or below 0).

Isn't this supposed to be "random" from the seed? In that case it will never be -1 → 1 unless you normalize it to be that.

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