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; } } }