static OpenSimplex2F()
{
LOOKUP_2D = new LatticePoint2D[4];
LOOKUP_3D = new LatticePoint3D[8];
VERTICES_4D = new LatticePoint4D[16];
LOOKUP_2D[0] = new LatticePoint2D(1, 0);
LOOKUP_2D[1] = new LatticePoint2D(0, 0);
LOOKUP_2D[2] = new LatticePoint2D(1, 1);
LOOKUP_2D[3] = new LatticePoint2D(0, 1);
for (int i = 0; i < 8; i++)
{
int i1, j1, k1, i2, j2, k2;
i1 = (i >> 0) & 1; j1 = (i >> 1) & 1; k1 = (i >> 2) & 1;
i2 = i1 ^ 1; j2 = j1 ^ 1; k2 = k1 ^ 1;
// The two points within this octant, one from each of the two cubic half-lattices.
LatticePoint3D c0 = new LatticePoint3D(i1, j1, k1, 0);
LatticePoint3D c1 = new LatticePoint3D(i1 + i2, j1 + j2, k1 + k2, 1);
// Each single step away on the first half-lattice.
LatticePoint3D c2 = new LatticePoint3D(i1 ^ 1, j1, k1, 0);
LatticePoint3D c3 = new LatticePoint3D(i1, j1 ^ 1, k1, 0);
LatticePoint3D c4 = new LatticePoint3D(i1, j1, k1 ^ 1, 0);
// Each single step away on the second half-lattice.
LatticePoint3D c5 = new LatticePoint3D(i1 + (i2 ^ 1), j1 + j2, k1 + k2, 1);
LatticePoint3D c6 = new LatticePoint3D(i1 + i2, j1 + (j2 ^ 1), k1 + k2, 1);
LatticePoint3D c7 = new LatticePoint3D(i1 + i2, j1 + j2, k1 + (k2 ^ 1), 1);
// First two are guaranteed.
c0.NextOnFailure = c0.NextOnSuccess = c1;
c1.NextOnFailure = c1.NextOnSuccess = c2;
// Once we find one on the first half-lattice, the rest are out.
// In addition, knowing c2 rules out c5.
c2.NextOnFailure = c3; c2.NextOnSuccess = c6;
c3.NextOnFailure = c4; c3.NextOnSuccess = c5;
c4.NextOnFailure = c4.NextOnSuccess = c5;
// Once we find one on the second half-lattice, the rest are out.
c5.NextOnFailure = c6; c5.NextOnSuccess = null;
c6.NextOnFailure = c7; c6.NextOnSuccess = null;
c7.NextOnFailure = c7.NextOnSuccess = null;
LOOKUP_3D[i] = c0;
}
for (int i = 0; i < 16; i++)
{
VERTICES_4D[i] = new LatticePoint4D((i >> 0) & 1, (i >> 1) & 1, (i >> 2) & 1, (i >> 3) & 1);
}
GRADIENTS_2D = new Grad2[PSIZE];
Grad2[] grad2 =
{
new Grad2(0.130526192220052, 0.99144486137381),
new Grad2(0.38268343236509, 0.923879532511287),
new Grad2(0.608761429008721, 0.793353340291235),
new Grad2(0.793353340291235, 0.608761429008721),
new Grad2(0.923879532511287, 0.38268343236509),
new Grad2(0.99144486137381, 0.130526192220051),
new Grad2(0.99144486137381, -0.130526192220051),
new Grad2(0.923879532511287, -0.38268343236509),
new Grad2(0.793353340291235, -0.60876142900872),
new Grad2(0.608761429008721, -0.793353340291235),
new Grad2(0.38268343236509, -0.923879532511287),
new Grad2(0.130526192220052, -0.99144486137381),
new Grad2(-0.130526192220052, -0.99144486137381),
new Grad2(-0.38268343236509, -0.923879532511287),
new Grad2(-0.608761429008721, -0.793353340291235),
new Grad2(-0.793353340291235, -0.608761429008721),
new Grad2(-0.923879532511287, -0.38268343236509),
new Grad2(-0.99144486137381, -0.130526192220052),
new Grad2(-0.99144486137381, 0.130526192220051),
new Grad2(-0.923879532511287, 0.38268343236509),
new Grad2(-0.793353340291235, 0.608761429008721),
new Grad2(-0.608761429008721, 0.793353340291235),
new Grad2(-0.38268343236509, 0.923879532511287),
new Grad2(-0.130526192220052, 0.99144486137381)
};
for (int i = 0; i < grad2.Length; i++)
{
grad2[i].dx /= N2; grad2[i].dy /= N2;
}
for (int i = 0; i < PSIZE; i++)
{
GRADIENTS_2D[i] = grad2[i % grad2.Length];
}
GRADIENTS_3D = new Grad3[PSIZE];
Grad3[] grad3 =
{
new Grad3(-2.22474487139, -2.22474487139, -1.0),
new Grad3(-2.22474487139, -2.22474487139, 1.0),
new Grad3(-3.0862664687972017, -1.1721513422464978, 0.0),
new Grad3(-1.1721513422464978, -3.0862664687972017, 0.0),
new Grad3(-2.22474487139, -1.0, -2.22474487139),
new Grad3(-2.22474487139, 1.0, -2.22474487139),
new Grad3(-1.1721513422464978, 0.0, -3.0862664687972017),
new Grad3(-3.0862664687972017, 0.0, -1.1721513422464978),
new Grad3(-2.22474487139, -1.0, 2.22474487139),
new Grad3(-2.22474487139, 1.0, 2.22474487139),
new Grad3(-3.0862664687972017, 0.0, 1.1721513422464978),
new Grad3(-1.1721513422464978, 0.0, 3.0862664687972017),
new Grad3(-2.22474487139, 2.22474487139, -1.0),
new Grad3(-2.22474487139, 2.22474487139, 1.0),
new Grad3(-1.1721513422464978, 3.0862664687972017, 0.0),
new Grad3(-3.0862664687972017, 1.1721513422464978, 0.0),
new Grad3(-1.0, -2.22474487139, -2.22474487139),
new Grad3(1.0, -2.22474487139, -2.22474487139),
new Grad3(0.0, -3.0862664687972017, -1.1721513422464978),
new Grad3(0.0, -1.1721513422464978, -3.0862664687972017),
new Grad3(-1.0, -2.22474487139, 2.22474487139),
new Grad3(1.0, -2.22474487139, 2.22474487139),
new Grad3(0.0, -1.1721513422464978, 3.0862664687972017),
new Grad3(0.0, -3.0862664687972017, 1.1721513422464978),
new Grad3(-1.0, 2.22474487139, -2.22474487139),
new Grad3(1.0, 2.22474487139, -2.22474487139),
new Grad3(0.0, 1.1721513422464978, -3.0862664687972017),
new Grad3(0.0, 3.0862664687972017, -1.1721513422464978),
new Grad3(-1.0, 2.22474487139, 2.22474487139),
new Grad3(1.0, 2.22474487139, 2.22474487139),
new Grad3(0.0, 3.0862664687972017, 1.1721513422464978),
new Grad3(0.0, 1.1721513422464978, 3.0862664687972017),
new Grad3(2.22474487139, -2.22474487139, -1.0),
new Grad3(2.22474487139, -2.22474487139, 1.0),
new Grad3(1.1721513422464978, -3.0862664687972017, 0.0),
new Grad3(3.0862664687972017, -1.1721513422464978, 0.0),
new Grad3(2.22474487139, -1.0, -2.22474487139),
new Grad3(2.22474487139, 1.0, -2.22474487139),
new Grad3(3.0862664687972017, 0.0, -1.1721513422464978),
new Grad3(1.1721513422464978, 0.0, -3.0862664687972017),
new Grad3(2.22474487139, -1.0, 2.22474487139),
new Grad3(2.22474487139, 1.0, 2.22474487139),
new Grad3(1.1721513422464978, 0.0, 3.0862664687972017),
new Grad3(3.0862664687972017, 0.0, 1.1721513422464978),
new Grad3(2.22474487139, 2.22474487139, -1.0),
new Grad3(2.22474487139, 2.22474487139, 1.0),
new Grad3(3.0862664687972017, 1.1721513422464978, 0.0),
new Grad3(1.1721513422464978, 3.0862664687972017, 0.0)
};
for (int i = 0; i < grad3.Length; i++)
{
grad3[i].dx /= N3; grad3[i].dy /= N3; grad3[i].dz /= N3;
}
for (int i = 0; i < PSIZE; i++)
{
GRADIENTS_3D[i] = grad3[i % grad3.Length];
}
GRADIENTS_4D = new Grad4[PSIZE];
Grad4[] grad4 =
{
new Grad4(-0.753341017856078, -0.37968289875261624, -0.37968289875261624, -0.37968289875261624),
new Grad4(-0.7821684431180708, -0.4321472685365301, -0.4321472685365301, 0.12128480194602098),
new Grad4(-0.7821684431180708, -0.4321472685365301, 0.12128480194602098, -0.4321472685365301),
new Grad4(-0.7821684431180708, 0.12128480194602098, -0.4321472685365301, -0.4321472685365301),
new Grad4(-0.8586508742123365, -0.508629699630796, 0.044802370851755174, 0.044802370851755174),
new Grad4(-0.8586508742123365, 0.044802370851755174, -0.508629699630796, 0.044802370851755174),
new Grad4(-0.8586508742123365, 0.044802370851755174, 0.044802370851755174, -0.508629699630796),
new Grad4(-0.9982828964265062, -0.03381941603233842, -0.03381941603233842, -0.03381941603233842),
new Grad4(-0.37968289875261624, -0.753341017856078, -0.37968289875261624, -0.37968289875261624),
new Grad4(-0.4321472685365301, -0.7821684431180708, -0.4321472685365301, 0.12128480194602098),
new Grad4(-0.4321472685365301, -0.7821684431180708, 0.12128480194602098, -0.4321472685365301),
new Grad4(0.12128480194602098, -0.7821684431180708, -0.4321472685365301, -0.4321472685365301),
new Grad4(-0.508629699630796, -0.8586508742123365, 0.044802370851755174, 0.044802370851755174),
new Grad4(0.044802370851755174, -0.8586508742123365, -0.508629699630796, 0.044802370851755174),
new Grad4(0.044802370851755174, -0.8586508742123365, 0.044802370851755174, -0.508629699630796),
new Grad4(-0.03381941603233842, -0.9982828964265062, -0.03381941603233842, -0.03381941603233842),
new Grad4(-0.37968289875261624, -0.37968289875261624, -0.753341017856078, -0.37968289875261624),
new Grad4(-0.4321472685365301, -0.4321472685365301, -0.7821684431180708, 0.12128480194602098),
new Grad4(-0.4321472685365301, 0.12128480194602098, -0.7821684431180708, -0.4321472685365301),
new Grad4(0.12128480194602098, -0.4321472685365301, -0.7821684431180708, -0.4321472685365301),
new Grad4(-0.508629699630796, 0.044802370851755174, -0.8586508742123365, 0.044802370851755174),
new Grad4(0.044802370851755174, -0.508629699630796, -0.8586508742123365, 0.044802370851755174),
new Grad4(0.044802370851755174, 0.044802370851755174, -0.8586508742123365, -0.508629699630796),
new Grad4(-0.03381941603233842, -0.03381941603233842, -0.9982828964265062, -0.03381941603233842),
new Grad4(-0.37968289875261624, -0.37968289875261624, -0.37968289875261624, -0.753341017856078),
new Grad4(-0.4321472685365301, -0.4321472685365301, 0.12128480194602098, -0.7821684431180708),
new Grad4(-0.4321472685365301, 0.12128480194602098, -0.4321472685365301, -0.7821684431180708),
new Grad4(0.12128480194602098, -0.4321472685365301, -0.4321472685365301, -0.7821684431180708),
new Grad4(-0.508629699630796, 0.044802370851755174, 0.044802370851755174, -0.8586508742123365),
new Grad4(0.044802370851755174, -0.508629699630796, 0.044802370851755174, -0.8586508742123365),
new Grad4(0.044802370851755174, 0.044802370851755174, -0.508629699630796, -0.8586508742123365),
new Grad4(-0.03381941603233842, -0.03381941603233842, -0.03381941603233842, -0.9982828964265062),
new Grad4(-0.6740059517812944, -0.3239847771997537, -0.3239847771997537, 0.5794684678643381),
new Grad4(-0.7504883828755602, -0.4004672082940195, 0.15296486218853164, 0.5029860367700724),
new Grad4(-0.7504883828755602, 0.15296486218853164, -0.4004672082940195, 0.5029860367700724),
new Grad4(-0.8828161875373585, 0.08164729285680945, 0.08164729285680945, 0.4553054119602712),
new Grad4(-0.4553054119602712, -0.08164729285680945, -0.08164729285680945, 0.8828161875373585),
new Grad4(-0.5029860367700724, -0.15296486218853164, 0.4004672082940195, 0.7504883828755602),
new Grad4(-0.5029860367700724, 0.4004672082940195, -0.15296486218853164, 0.7504883828755602),
new Grad4(-0.5794684678643381, 0.3239847771997537, 0.3239847771997537, 0.6740059517812944),
new Grad4(-0.3239847771997537, -0.6740059517812944, -0.3239847771997537, 0.5794684678643381),
new Grad4(-0.4004672082940195, -0.7504883828755602, 0.15296486218853164, 0.5029860367700724),
new Grad4(0.15296486218853164, -0.7504883828755602, -0.4004672082940195, 0.5029860367700724),
new Grad4(0.08164729285680945, -0.8828161875373585, 0.08164729285680945, 0.4553054119602712),
new Grad4(-0.08164729285680945, -0.4553054119602712, -0.08164729285680945, 0.8828161875373585),
new Grad4(-0.15296486218853164, -0.5029860367700724, 0.4004672082940195, 0.7504883828755602),
new Grad4(0.4004672082940195, -0.5029860367700724, -0.15296486218853164, 0.7504883828755602),
new Grad4(0.3239847771997537, -0.5794684678643381, 0.3239847771997537, 0.6740059517812944),
new Grad4(-0.3239847771997537, -0.3239847771997537, -0.6740059517812944, 0.5794684678643381),
new Grad4(-0.4004672082940195, 0.15296486218853164, -0.7504883828755602, 0.5029860367700724),
new Grad4(0.15296486218853164, -0.4004672082940195, -0.7504883828755602, 0.5029860367700724),
new Grad4(0.08164729285680945, 0.08164729285680945, -0.8828161875373585, 0.4553054119602712),
new Grad4(-0.08164729285680945, -0.08164729285680945, -0.4553054119602712, 0.8828161875373585),
new Grad4(-0.15296486218853164, 0.4004672082940195, -0.5029860367700724, 0.7504883828755602),
new Grad4(0.4004672082940195, -0.15296486218853164, -0.5029860367700724, 0.7504883828755602),
new Grad4(0.3239847771997537, 0.3239847771997537, -0.5794684678643381, 0.6740059517812944),
new Grad4(-0.6740059517812944, -0.3239847771997537, 0.5794684678643381, -0.3239847771997537),
new Grad4(-0.7504883828755602, -0.4004672082940195, 0.5029860367700724, 0.15296486218853164),
new Grad4(-0.7504883828755602, 0.15296486218853164, 0.5029860367700724, -0.4004672082940195),
new Grad4(-0.8828161875373585, 0.08164729285680945, 0.4553054119602712, 0.08164729285680945),
new Grad4(-0.4553054119602712, -0.08164729285680945, 0.8828161875373585, -0.08164729285680945),
new Grad4(-0.5029860367700724, -0.15296486218853164, 0.7504883828755602, 0.4004672082940195),
new Grad4(-0.5029860367700724, 0.4004672082940195, 0.7504883828755602, -0.15296486218853164),
new Grad4(-0.5794684678643381, 0.3239847771997537, 0.6740059517812944, 0.3239847771997537),
new Grad4(-0.3239847771997537, -0.6740059517812944, 0.5794684678643381, -0.3239847771997537),
new Grad4(-0.4004672082940195, -0.7504883828755602, 0.5029860367700724, 0.15296486218853164),
new Grad4(0.15296486218853164, -0.7504883828755602, 0.5029860367700724, -0.4004672082940195),
new Grad4(0.08164729285680945, -0.8828161875373585, 0.4553054119602712, 0.08164729285680945),
new Grad4(-0.08164729285680945, -0.4553054119602712, 0.8828161875373585, -0.08164729285680945),
new Grad4(-0.15296486218853164, -0.5029860367700724, 0.7504883828755602, 0.4004672082940195),
new Grad4(0.4004672082940195, -0.5029860367700724, 0.7504883828755602, -0.15296486218853164),
new Grad4(0.3239847771997537, -0.5794684678643381, 0.6740059517812944, 0.3239847771997537),
new Grad4(-0.3239847771997537, -0.3239847771997537, 0.5794684678643381, -0.6740059517812944),
new Grad4(-0.4004672082940195, 0.15296486218853164, 0.5029860367700724, -0.7504883828755602),
new Grad4(0.15296486218853164, -0.4004672082940195, 0.5029860367700724, -0.7504883828755602),
new Grad4(0.08164729285680945, 0.08164729285680945, 0.4553054119602712, -0.8828161875373585),
new Grad4(-0.08164729285680945, -0.08164729285680945, 0.8828161875373585, -0.4553054119602712),
new Grad4(-0.15296486218853164, 0.4004672082940195, 0.7504883828755602, -0.5029860367700724),
new Grad4(0.4004672082940195, -0.15296486218853164, 0.7504883828755602, -0.5029860367700724),
new Grad4(0.3239847771997537, 0.3239847771997537, 0.6740059517812944, -0.5794684678643381),
new Grad4(-0.6740059517812944, 0.5794684678643381, -0.3239847771997537, -0.3239847771997537),
new Grad4(-0.7504883828755602, 0.5029860367700724, -0.4004672082940195, 0.15296486218853164),
new Grad4(-0.7504883828755602, 0.5029860367700724, 0.15296486218853164, -0.4004672082940195),
new Grad4(-0.8828161875373585, 0.4553054119602712, 0.08164729285680945, 0.08164729285680945),
new Grad4(-0.4553054119602712, 0.8828161875373585, -0.08164729285680945, -0.08164729285680945),
new Grad4(-0.5029860367700724, 0.7504883828755602, -0.15296486218853164, 0.4004672082940195),
new Grad4(-0.5029860367700724, 0.7504883828755602, 0.4004672082940195, -0.15296486218853164),
new Grad4(-0.5794684678643381, 0.6740059517812944, 0.3239847771997537, 0.3239847771997537),
new Grad4(-0.3239847771997537, 0.5794684678643381, -0.6740059517812944, -0.3239847771997537),
new Grad4(-0.4004672082940195, 0.5029860367700724, -0.7504883828755602, 0.15296486218853164),
new Grad4(0.15296486218853164, 0.5029860367700724, -0.7504883828755602, -0.4004672082940195),
new Grad4(0.08164729285680945, 0.4553054119602712, -0.8828161875373585, 0.08164729285680945),
new Grad4(-0.08164729285680945, 0.8828161875373585, -0.4553054119602712, -0.08164729285680945),
new Grad4(-0.15296486218853164, 0.7504883828755602, -0.5029860367700724, 0.4004672082940195),
new Grad4(0.4004672082940195, 0.7504883828755602, -0.5029860367700724, -0.15296486218853164),
new Grad4(0.3239847771997537, 0.6740059517812944, -0.5794684678643381, 0.3239847771997537),
new Grad4(-0.3239847771997537, 0.5794684678643381, -0.3239847771997537, -0.6740059517812944),
new Grad4(-0.4004672082940195, 0.5029860367700724, 0.15296486218853164, -0.7504883828755602),
new Grad4(0.15296486218853164, 0.5029860367700724, -0.4004672082940195, -0.7504883828755602),
new Grad4(0.08164729285680945, 0.4553054119602712, 0.08164729285680945, -0.8828161875373585),
new Grad4(-0.08164729285680945, 0.8828161875373585, -0.08164729285680945, -0.4553054119602712),
new Grad4(-0.15296486218853164, 0.7504883828755602, 0.4004672082940195, -0.5029860367700724),
new Grad4(0.4004672082940195, 0.7504883828755602, -0.15296486218853164, -0.5029860367700724),
new Grad4(0.3239847771997537, 0.6740059517812944, 0.3239847771997537, -0.5794684678643381),
new Grad4(0.5794684678643381, -0.6740059517812944, -0.3239847771997537, -0.3239847771997537),
new Grad4(0.5029860367700724, -0.7504883828755602, -0.4004672082940195, 0.15296486218853164),
new Grad4(0.5029860367700724, -0.7504883828755602, 0.15296486218853164, -0.4004672082940195),
new Grad4(0.4553054119602712, -0.8828161875373585, 0.08164729285680945, 0.08164729285680945),
new Grad4(0.8828161875373585, -0.4553054119602712, -0.08164729285680945, -0.08164729285680945),
new Grad4(0.7504883828755602, -0.5029860367700724, -0.15296486218853164, 0.4004672082940195),
new Grad4(0.7504883828755602, -0.5029860367700724, 0.4004672082940195, -0.15296486218853164),
new Grad4(0.6740059517812944, -0.5794684678643381, 0.3239847771997537, 0.3239847771997537),
new Grad4(0.5794684678643381, -0.3239847771997537, -0.6740059517812944, -0.3239847771997537),
new Grad4(0.5029860367700724, -0.4004672082940195, -0.7504883828755602, 0.15296486218853164),
new Grad4(0.5029860367700724, 0.15296486218853164, -0.7504883828755602, -0.4004672082940195),
new Grad4(0.4553054119602712, 0.08164729285680945, -0.8828161875373585, 0.08164729285680945),
new Grad4(0.8828161875373585, -0.08164729285680945, -0.4553054119602712, -0.08164729285680945),
new Grad4(0.7504883828755602, -0.15296486218853164, -0.5029860367700724, 0.4004672082940195),
new Grad4(0.7504883828755602, 0.4004672082940195, -0.5029860367700724, -0.15296486218853164),
new Grad4(0.6740059517812944, 0.3239847771997537, -0.5794684678643381, 0.3239847771997537),
new Grad4(0.5794684678643381, -0.3239847771997537, -0.3239847771997537, -0.6740059517812944),
new Grad4(0.5029860367700724, -0.4004672082940195, 0.15296486218853164, -0.7504883828755602),
new Grad4(0.5029860367700724, 0.15296486218853164, -0.4004672082940195, -0.7504883828755602),
new Grad4(0.4553054119602712, 0.08164729285680945, 0.08164729285680945, -0.8828161875373585),
new Grad4(0.8828161875373585, -0.08164729285680945, -0.08164729285680945, -0.4553054119602712),
new Grad4(0.7504883828755602, -0.15296486218853164, 0.4004672082940195, -0.5029860367700724),
new Grad4(0.7504883828755602, 0.4004672082940195, -0.15296486218853164, -0.5029860367700724),
new Grad4(0.6740059517812944, 0.3239847771997537, 0.3239847771997537, -0.5794684678643381),
new Grad4(0.03381941603233842, 0.03381941603233842, 0.03381941603233842, 0.9982828964265062),
new Grad4(-0.044802370851755174, -0.044802370851755174, 0.508629699630796, 0.8586508742123365),
new Grad4(-0.044802370851755174, 0.508629699630796, -0.044802370851755174, 0.8586508742123365),
new Grad4(-0.12128480194602098, 0.4321472685365301, 0.4321472685365301, 0.7821684431180708),
new Grad4(0.508629699630796, -0.044802370851755174, -0.044802370851755174, 0.8586508742123365),
new Grad4(0.4321472685365301, -0.12128480194602098, 0.4321472685365301, 0.7821684431180708),
new Grad4(0.4321472685365301, 0.4321472685365301, -0.12128480194602098, 0.7821684431180708),
new Grad4(0.37968289875261624, 0.37968289875261624, 0.37968289875261624, 0.753341017856078),
new Grad4(0.03381941603233842, 0.03381941603233842, 0.9982828964265062, 0.03381941603233842),
new Grad4(-0.044802370851755174, 0.044802370851755174, 0.8586508742123365, 0.508629699630796),
new Grad4(-0.044802370851755174, 0.508629699630796, 0.8586508742123365, -0.044802370851755174),
new Grad4(-0.12128480194602098, 0.4321472685365301, 0.7821684431180708, 0.4321472685365301),
new Grad4(0.508629699630796, -0.044802370851755174, 0.8586508742123365, -0.044802370851755174),
new Grad4(0.4321472685365301, -0.12128480194602098, 0.7821684431180708, 0.4321472685365301),
new Grad4(0.4321472685365301, 0.4321472685365301, 0.7821684431180708, -0.12128480194602098),
new Grad4(0.37968289875261624, 0.37968289875261624, 0.753341017856078, 0.37968289875261624),
new Grad4(0.03381941603233842, 0.9982828964265062, 0.03381941603233842, 0.03381941603233842),
new Grad4(-0.044802370851755174, 0.8586508742123365, -0.044802370851755174, 0.508629699630796),
new Grad4(-0.044802370851755174, 0.8586508742123365, 0.508629699630796, -0.044802370851755174),
new Grad4(-0.12128480194602098, 0.7821684431180708, 0.4321472685365301, 0.4321472685365301),
new Grad4(0.508629699630796, 0.8586508742123365, -0.044802370851755174, -0.044802370851755174),
new Grad4(0.4321472685365301, 0.7821684431180708, -0.12128480194602098, 0.4321472685365301),
new Grad4(0.4321472685365301, 0.7821684431180708, 0.4321472685365301, -0.12128480194602098),
new Grad4(0.37968289875261624, 0.753341017856078, 0.37968289875261624, 0.37968289875261624),
new Grad4(0.9982828964265062, 0.03381941603233842, 0.03381941603233842, 0.03381941603233842),
new Grad4(0.8586508742123365, -0.044802370851755174, -0.044802370851755174, 0.508629699630796),
new Grad4(0.8586508742123365, -0.044802370851755174, 0.508629699630796, -0.044802370851755174),
new Grad4(0.7821684431180708, -0.12128480194602098, 0.4321472685365301, 0.4321472685365301),
new Grad4(0.8586508742123365, 0.508629699630796, -0.044802370851755174, -0.044802370851755174),
new Grad4(0.7821684431180708, 0.4321472685365301, -0.12128480194602098, 0.4321472685365301),
new Grad4(0.7821684431180708, 0.4321472685365301, 0.4321472685365301, -0.12128480194602098),
new Grad4(0.753341017856078, 0.37968289875261624, 0.37968289875261624, 0.37968289875261624)
};
for (int i = 0; i < grad4.Length; i++)
{
grad4[i].dx /= N4; grad4[i].dy /= N4; grad4[i].dz /= N4; grad4[i].dw /= N4;
}
for (int i = 0; i < PSIZE; i++)
{
GRADIENTS_4D[i] = grad4[i % grad4.Length];
}
}
/**
* 4D OpenSimplex2F noise base.
* Current implementation not fully optimized by lookup tables.
* But still comes out slightly ahead of Gustavson's Simplex in tests.
*/
private double noise4_Base(double xs, double ys, double zs, double ws)
{
double value = 0;
// Get base points and offsets
int xsb = fastFloor(xs), ysb = fastFloor(ys), zsb = fastFloor(zs), wsb = fastFloor(ws);
double xsi = xs - xsb, ysi = ys - ysb, zsi = zs - zsb, wsi = ws - wsb;
// If we're in the lower half, flip so we can repeat the code for the upper half. We'll flip back later.
double siSum = xsi + ysi + zsi + wsi;
double ssi = siSum * 0.309016994374947; // Prep for vertex contributions.
bool inLowerHalf = (siSum < 2);
if (inLowerHalf)
{
xsi = 1 - xsi; ysi = 1 - ysi; zsi = 1 - zsi; wsi = 1 - wsi;
siSum = 4 - siSum;
}
// Consider opposing vertex pairs of the octahedron formed by the central cross-section of the stretched tesseract
double aabb = xsi + ysi - zsi - wsi, abab = xsi - ysi + zsi - wsi, abba = xsi - ysi - zsi + wsi;
double aabbScore = Math.Abs(aabb), ababScore = Math.Abs(abab), abbaScore = Math.Abs(abba);
// Find the closest point on the stretched tesseract as if it were the upper half
int vertexIndex, via, vib;
double asi, bsi;
if (aabbScore > ababScore && aabbScore > abbaScore)
{
if (aabb > 0)
{
asi = zsi; bsi = wsi; vertexIndex = 0b0011; via = 0b0111; vib = 0b1011;
}
else
{
asi = xsi; bsi = ysi; vertexIndex = 0b1100; via = 0b1101; vib = 0b1110;
}
}
else if (ababScore > abbaScore)
{
if (abab > 0)
{
asi = ysi; bsi = wsi; vertexIndex = 0b0101; via = 0b0111; vib = 0b1101;
}
else
{
asi = xsi; bsi = zsi; vertexIndex = 0b1010; via = 0b1011; vib = 0b1110;
}
}
else
{
if (abba > 0)
{
asi = ysi; bsi = zsi; vertexIndex = 0b1001; via = 0b1011; vib = 0b1101;
}
else
{
asi = xsi; bsi = wsi; vertexIndex = 0b0110; via = 0b0111; vib = 0b1110;
}
}
if (bsi > asi)
{
via = vib;
double temp = bsi;
bsi = asi;
asi = temp;
}
if (siSum + asi > 3)
{
vertexIndex = via;
if (siSum + bsi > 4)
{
vertexIndex = 0b1111;
}
}
// Now flip back if we're actually in the lower half.
if (inLowerHalf)
{
xsi = 1 - xsi; ysi = 1 - ysi; zsi = 1 - zsi; wsi = 1 - wsi;
vertexIndex ^= 0b1111;
}
// Five points to add, total, from five copies of the A4 lattice.
for (int i = 0; i < 5; i++)
{
// Update xsb/etc. and add the lattice point's contribution.
LatticePoint4D c = VERTICES_4D[vertexIndex];
xsb += c.xsv; ysb += c.ysv; zsb += c.zsv; wsb += c.wsv;
double xi = xsi + ssi, yi = ysi + ssi, zi = zsi + ssi, wi = wsi + ssi;
double dx = xi + c.dx, dy = yi + c.dy, dz = zi + c.dz, dw = wi + c.dw;
double attn = 0.5 - dx * dx - dy * dy - dz * dz - dw * dw;
if (attn > 0)
{
int pxm = xsb & PMASK, pym = ysb & PMASK, pzm = zsb & PMASK, pwm = wsb & PMASK;
Grad4 grad = permGrad4[perm[perm[perm[pxm] ^ pym] ^ pzm] ^ pwm];
double ramped = grad.dx * dx + grad.dy * dy + grad.dz * dz + grad.dw * dw;
attn *= attn;
value += attn * attn * ramped;
}
// Maybe this helps the compiler/JVM/LLVM/etc. know we can end the loop here. Maybe not.
if (i == 4)
{
break;
}
// Update the relative skewed coordinates to reference the vertex we just added.
// Rather, reference its counterpart on the lattice copy that is shifted down by
// the vector <-0.2, -0.2, -0.2, -0.2>
xsi += c.xsi; ysi += c.ysi; zsi += c.zsi; wsi += c.wsi;
ssi += c.ssiDelta;
// Next point is the closest vertex on the 4-simplex whose base vertex is the aforementioned vertex.
double score0 = 1.0 + ssi * (-1.0 / 0.309016994374947); // Seems slightly faster than 1.0-xsi-ysi-zsi-wsi
vertexIndex = 0b0000;
if (xsi >= ysi && xsi >= zsi && xsi >= wsi && xsi >= score0)
{
vertexIndex = 0b0001;
}
else if (ysi > xsi && ysi >= zsi && ysi >= wsi && ysi >= score0)
{
vertexIndex = 0b0010;
}
else if (zsi > xsi && zsi > ysi && zsi >= wsi && zsi >= score0)
{
vertexIndex = 0b0100;
}
else if (wsi > xsi && wsi > ysi && wsi > zsi && wsi >= score0)
{
vertexIndex = 0b1000;
}
}
return(value);
}