📄 noise.cc
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for (int i = 0; i < int(octaves); ++i)
{
ret += Vector3(DNoise3(x, y, z)) * omega_prime;
omega_prime *= omega;
x *= lambda;
y *= lambda;
z *= lambda;
}
ret += Vector3(DNoise3(x, y, z)) * (octaves - int(octaves)) * omega_prime;
return ret;
}
Vector3
VfBm(const Tuple3d &p, double omega, double lambda, double octaves)
{
return VfBm(p.x, p.y, p.z, omega, lambda, octaves);
}
// precomputed gradients for noise
int p_precomputed[] = {
0, 1, 129, 3, 21, 84, 47, 7,
46, 14, 25, 142, 6, 13, 144, 15,
206, 17, 73, 32, 155, 4, 8, 214,
247, 10, 80, 27, 86, 170, 202, 204,
150, 33, 114, 82, 162, 138, 186, 39,
64, 44, 111, 126, 41, 45, 19, 190,
79, 49, 211, 158, 5, 53, 245, 55,
99, 57, 230, 59, 205, 61, 71, 88,
234, 65, 203, 67, 209, 140, 141, 154,
240, 18, 117, 152, 42, 77, 68, 232,
182, 81, 26, 83, 52, 102, 62, 87,
160, 89, 50, 91, 181, 93, 43, 95,
35, 146, 163, 242, 191, 101, 85, 220,
196, 105, 207, 107, 145, 109, 76, 110,
168, 113, 171, 115, 34, 222, 108, 119,
54, 121, 78, 248, 208, 125, 94, 127,
130, 2, 0, 131, 31, 133, 169, 148,
96, 137, 37, 139, 250, 70, 11, 143,
244, 58, 97, 180, 135, 149, 218, 151,
75, 153, 200, 20, 118, 157, 51, 159,
188, 161, 224, 98, 195, 165, 120, 212,
103, 238, 29, 116, 100, 173, 252, 175,
30, 177, 217, 179, 147, 192, 72, 183,
194, 185, 228, 187, 63, 189, 12, 104,
92, 193, 249, 164, 172, 197, 24, 199,
28, 201, 48, 174, 132, 60, 176, 210,
22, 122, 106, 90, 167, 213, 23, 215,
128, 178, 124, 219, 112, 216, 74, 223,
136, 225, 166, 227, 246, 229, 254, 231,
38, 233, 235, 40, 56, 237, 134, 239,
36, 241, 236, 243, 9, 226, 16, 198,
123, 184, 69, 251, 66, 253, 156, 255,
0, 1, 129, 3, 21, 84, 47, 7,
46, 14, 25, 142, 6, 13, 144, 15,
206, 17, 73, 32, 155, 4, 8, 214,
247, 10, 80, 27, 86, 170, 202, 204,
150, 33, 114, 82, 162, 138, 186, 39,
64, 44, 111, 126, 41, 45, 19, 190,
79, 49, 211, 158, 5, 53, 245, 55,
99, 57, 230, 59, 205, 61, 71, 88,
234, 65, 203, 67, 209, 140, 141, 154,
240, 18, 117, 152, 42, 77, 68, 232,
182, 81, 26, 83, 52, 102, 62, 87,
160, 89, 50, 91, 181, 93, 43, 95,
35, 146, 163, 242, 191, 101, 85, 220,
196, 105, 207, 107, 145, 109, 76, 110,
168, 113, 171, 115, 34, 222, 108, 119,
54, 121, 78, 248, 208, 125, 94, 127,
130, 2, 0, 131, 31, 133, 169, 148,
96, 137, 37, 139, 250, 70, 11, 143,
244, 58, 97, 180, 135, 149, 218, 151,
75, 153, 200, 20, 118, 157, 51, 159,
188, 161, 224, 98, 195, 165, 120, 212,
103, 238, 29, 116, 100, 173, 252, 175,
30, 177, 217, 179, 147, 192, 72, 183,
194, 185, 228, 187, 63, 189, 12, 104,
92, 193, 249, 164, 172, 197, 24, 199,
28, 201, 48, 174, 132, 60, 176, 210,
22, 122, 106, 90, 167, 213, 23, 215,
128, 178, 124, 219, 112, 216, 74, 223,
136, 225, 166, 227, 246, 229, 254, 231,
38, 233, 235, 40, 56, 237, 134, 239,
36, 241, 236, 243, 9, 226, 16, 198,
123, 184, 69, 251, 66, 253, 156, 255,
0, 1,
};
double g_precomputed[][3] =
{
{0.881927, 0.00933256, -0.471294}, {0.783613, 0.523784, 0.334067},
{0.16021, -0.224294, 0.961262}, {0.476773, -0.630021, 0.612994},
{-0.299992, -0.549216, 0.779979}, {-0.437603, -0.389943, 0.810215},
{0.474441, -0.809644, -0.345517}, {0.250258, 0.896758, 0.36496},
{0.664083, -0.723553, 0.188322}, {-0.955856, -0.00391744, -0.293808},
{0.430173, -0.337663, -0.837219}, {-0.608608, 0.107774, 0.786118},
{-0.161776, 0.0276203, 0.986441}, {-0.900782, 0.407496, -0.15013},
{0.67719, -0.735235, -0.0290224}, {0.435259, 0.383347, 0.814613},
{0.990155, 0.0594093, -0.12674}, {-0.0900124, 0.565078, -0.820113},
{0.877974, 0.321742, -0.354462}, {-0.292866, -0.348273, -0.89047},
{-0.493484, -0.626647, 0.603148}, {-0.018251, -0.748291, 0.66312},
{0.442048, -0.191684, 0.876271}, {-0.039175, -0.415255, -0.908861},
{-0.375172, -0.875401, 0.304827}, {0.816216, -0.575061, 0.0556511},
{0.688177, 0.478367, -0.545506}, {-0.519943, -0.0310413, 0.853637},
{0.732517, 0.677232, -0.0691053}, {-0.387999, -0.383872, 0.837913},
{-0.495871, 0.602129, -0.625742}, {-0.557869, -0.825864, -0.0820395},
{-0.252615, 0.959939, -0.121255}, {0.656728, -0.682583, 0.320607},
{-0.0722408, 0.995318, -0.0642141}, {0.0264206, 0.970958, 0.237786},
{0.566363, -0.257857, -0.782779}, {-0.79241, 0.608663, -0.0401947},
{-0.61328, -0.789435, -0.026097}, {0.621471, -0.777896, 0.0930093},
{0.179964, 0.439912, -0.879824}, {0.920163, -0.387437, 0.0565012},
{0.731388, 0.427997, 0.530933}, {0.696311, -0.575795, 0.428499},
{0.714037, 0.409693, -0.567718}, {-0.954945, 0.296734, 0.00539517},
{-0.261215, 0.931668, -0.252508}, {-0.0466522, 0.419869, 0.906385},
{0.901551, -0.353311, -0.249754}, {-0.0734223, -0.682827, -0.726881},
{0.789875, 0.490128, -0.368608}, {-0.842201, -0.191409, 0.504044},
{0.768506, 0.286146, 0.572292}, {0.659914, -0.611391, -0.436708},
{0.637383, -0.174766, 0.750467}, {0.0181811, -0.645428, -0.763605},
{0.903195, 0.428914, -0.0164967}, {-0.680163, 0.216645, -0.700316},
{0.157334, 0.875823, 0.456267}, {-0.725857, 0.488843, -0.483905},
{-0.268821, -0.604847, -0.749597}, {-0.206278, 0.56349, -0.799955},
{-0.759064, -0.586905, 0.281715}, {-0.626585, 0.779282, -0.0105308},
{0.453898, 0.841373, 0.293373}, {0.335068, -0.687101, -0.644687},
{0.605501, -0.70011, 0.378438}, {0.368652, 0.741971, 0.559978},
{0.200715, -0.0821105, 0.976203}, {0.870031, -0.487923, 0.0705431},
{0.657558, -0.307665, -0.687721}, {-0.803072, 0.317494, -0.504255},
{-0.940811, -0.338894, 0.00505812}, {0.945164, -0.219413, -0.241917},
{0.543321, -0.628883, 0.556155}, {0.117745, -0.781828, 0.612275},
{-0.162865, 0.35381, -0.921029}, {0.625338, 0.695941, -0.353013},
{0.823315, 0.476656, 0.308141}, {-0.586069, -0.138442, 0.798346},
{-0.991332, 0.097024, -0.0885871}, {-0.781887, -0.414443, 0.465714},
{-0.370439, -0.928134, -0.0366369}, {0.371806, 0.87668, -0.305273},
{0.0246669, -0.999011, -0.0370004}, {-0.777502, -0.622795, -0.0872707},
{0.881495, -0.25652, -0.39644}, {0.32106, 0.840871, -0.435724},
{-0.908547, -0.204628, -0.364237}, {-0.18656, -0.457919, -0.869198},
{-0.0928068, 0.625437, -0.774735}, {-0.80303, -0.499758, -0.324629},
{0.467011, -0.862955, -0.192896}, {-0.844156, 0.427559, 0.32341},
{-0.366754, -0.171152, 0.914439}, {-0.37027, -0.590118, -0.717398},
{-0.327903, -0.595403, 0.733468}, {0.0786493, 0.992192, -0.0967992},
{0.470555, 0.796323, 0.380063}, {-0.778758, -0.0450149, -0.625707},
{0.287529, 0.406964, 0.867011}, {-0.935035, -0.21864, 0.279115},
{-0.333575, -0.942711, 0.00483442}, {-0.487224, -0.861555, -0.142602},
{0.524416, 0.348022, 0.77709}, {-0.315749, -0.874779, 0.367511},
{0.718447, 0.662256, -0.212724}, {-0.108332, 0.526184, -0.843442},
{-0.312189, 0.70359, 0.638357}, {0.719518, -0.575614, -0.388539},
{-0.116052, 0.98644, -0.116052}, {0.835012, -0.0392024, -0.548834},
{-0.263718, -0.61403, 0.743922}, {0.662808, -0.14685, 0.734248},
{-0.567505, 0.823282, -0.0119895}, {0.0315202, -0.737572, -0.674532},
{-0.463101, 0.767773, 0.44279}, {0.760856, -0.502826, -0.4102},
{-0.884402, 0.136062, -0.446453}, {-0.820505, -0.0444609, 0.569908},
{0.261755, 0.251285, -0.931848}, {0.538347, 0.507289, -0.672934},
{-0.833848, -0.489191, -0.255713}, {-0.981969, 0.0892699, -0.166637},
{0.567306, 0.669131, -0.480029}, {0.471825, 0.845723, -0.249266},
{0.178178, -0.0633521, 0.981957}, {0.531368, -0.315365, 0.786252},
{0.568053, 0.0272665, -0.82254}, {-0.660161, 0.746849, -0.0800196},
{-0.743197, 0.276539, 0.609249}, {-0.121776, -0.748052, 0.652371},
{0.90717, 0.415575, -0.0658838}, {0.899211, -0.333993, -0.282609},
{-0.929721, 0.164693, -0.329387}, {-0.301401, -0.943517, -0.137596},
{0.572063, -0.631428, 0.523491}, {0.960138, 0.262223, 0.0968206},
{0.956128, -0.0670967, -0.285161}, {0.492877, -0.341223, -0.800399},
{-0.0509833, -0.846322, -0.530226}, {-0.119676, 0.977353, 0.174527},
{0.579728, -0.614119, 0.535512}, {-0.0165382, 0.70701, 0.70701},
{0.776577, -0.496146, -0.388288}, {-0.267511, -0.312852, -0.911351},
{0.043586, -0.966156, -0.254251}, {-0.619005, -0.706807, 0.342428},
{0.34909, 0.934329, -0.0718715}, {-0.207273, 0.288556, -0.934759},
{0.191337, 0.569106, 0.799692}, {0.706407, -0.307333, -0.637601},
{-0.549731, -0.768827, 0.326652}, {-0.597983, -0.776328, 0.199328},
{0, 0.21279, 0.977098}, {0.836218, 0.380099, -0.395303},
{-0.347158, -0.586415, -0.731846}, {-0.74361, 0.358621, -0.5643},
{-0.119613, 0.967308, -0.223625}, {0.521332, 0.392343, -0.757813},
{0.333037, -0.636249, 0.695898}, {-0.736632, -0.0687523, -0.67279},
{-0.368305, -0.830733, 0.417413}, {0.802572, 0.401286, 0.441415},
{0.618643, -0.520566, -0.588466}, {0.340475, -0.89686, 0.282345},
{0.416618, 0.901255, -0.119034}, {0.980928, -0.159461, -0.11114},
{-0.874596, -0.477977, -0.0813578}, {0.617716, 0.677112, -0.399932},
{-0.719814, 0.482602, 0.498962}, {0.312856, -0.483006, 0.817818},
{0.319034, -0.0294493, 0.947286}, {-0.691378, -0.550129, 0.468353},
{-0.435125, 0.255549, -0.863343}, {-0.484711, -0.803235, 0.346222},
{0.170271, 0.887471, -0.428256}, {0.112697, -0.798272, 0.59166},
{-0.790477, -0.560622, 0.246674}, {0.145604, -0.208006, -0.967229},
{0.125644, -0.225292, -0.966156}, {0.685839, 0.719918, -0.106497},
{-0.501538, -0.3869, -0.773801}, {0.416413, 0.904898, -0.0880874},
{-0.615626, -0.619649, -0.486867}, {0.669855, 0.525021, 0.525021},
{-0.270705, 0.0887557, 0.958562}, {-0.184426, -0.493999, 0.849678},
{0.207925, -0.855237, -0.474696}, {-0.35043, -0.133075, 0.927087},
{-0.890682, -0.356273, 0.282411}, {0.39093, 0.349045, 0.85167},
{0.346808, -0.579477, 0.737516}, {0.677666, 0.687347, 0.261386},
{0.448941, 0.104405, -0.887441}, {-0.769922, -0.558906, 0.307969},
{0.863871, 0.497192, -0.0807937}, {0.88277, -0.387558, -0.265549},
{0.316139, 0.724484, -0.612519}, {-0.156561, -0.305093, 0.939365},
{-0.863919, 0.493668, -0.0996829}, {-0.399274, 0.432948, 0.808169},
{-0.201097, -0.827772, -0.523788}, {0.649832, -0.69096, -0.31669},
{0.58329, -0.762109, -0.281001}, {-0.0146116, 0.0535757, -0.998457},
{0.0301203, 0.85843, 0.512046}, {0.122289, -0.778574, -0.615522},
{-0.6378, -0.621855, -0.454432}, {0.572703, -0.381802, 0.725423},
{0.283725, -0.671761, -0.684278}, {0.482124, 0.583624, 0.653405},
{-0.464375, -0.883445, 0.0622942}, {-0.343074, 0.810902, 0.474066},
{0.362148, 0.354905, -0.861912}, {0.245597, -0.30927, 0.918713},
{0.404371, 0.269581, 0.873963}, {0.104848, 0.986809, 0.123351},
{0.600225, -0.104626, -0.792958}, {-0.27876, -0.931313, 0.234412},
{0, 0.987007, -0.160676}, {-0.570647, -0.723605, 0.388276},
{0.865457, 0.397092, -0.305455}, {0.619109, 0.754539, -0.217656},
{-0.112209, -0.0290913, -0.993259}, {-0.481007, -0.15838, -0.862292},
{-0.805298, 0.592131, -0.0296065}, {-0.101503, -0.882635, 0.45897},
{-0.84889, 0.523013, 0.0764403}, {-0.0694843, -0.67499, 0.734548},
{-0.0984886, 0.977007, 0.189098}, {0.823002, 0.564805, 0.0605149},
{-0.996435, -0.08052, 0.0251625}, {0.319592, -0.834754, -0.448382},
{0.798493, 0.550685, 0.243219}, {-0.265283, -0.631625, 0.728474},
{-0.678481, 0.325353, 0.658642}, {0.729404, 0.070763, -0.680414},
{-0.95973, 0.280536, -0.0147651}, {-0.866431, -0.404334, -0.292936},
{-0.528207, 0.803314, 0.275108}, {-0.459883, 0.27593, -0.84402},
{-0.164752, 0.804749, -0.570295}, {0.616383, 0.273302, 0.738497},
{-0.122193, 0.882944, -0.453297}, {-0.643681, 0.760714, 0.083595},
{-0.0738983, 0.468023, 0.880621}, {0.314462, -0.612935, 0.724862},
{-0.35677, 0.932466, 0.0567588}, {0.511392, -0.146711, -0.846731},
{-0.185801, 0.170318, 0.967714}, {-0.171952, -0.96137, -0.214941},
{-0.81662, 0.361197, 0.450188}, {-0.0538588, 0.65977, 0.749535},
{0.317011, -0.926956, -0.20064}, {0.190026, 0.740102, -0.645089},
{0.881927, 0.00933256, -0.471294}, {0.783613, 0.523784, 0.334067},
{0.16021, -0.224294, 0.961262}, {0.476773, -0.630021, 0.612994},
{-0.299992, -0.549216, 0.779979}, {-0.437603, -0.389943, 0.810215},
{0.474441, -0.809644, -0.345517}, {0.250258, 0.896758, 0.36496},
{0.664083, -0.723553, 0.188322}, {-0.955856, -0.00391744, -0.293808},
{0.430173, -0.337663, -0.837219}, {-0.608608, 0.107774, 0.786118},
{-0.161776, 0.0276203, 0.986441}, {-0.900782, 0.407496, -0.15013},
{0.67719, -0.735235, -0.0290224}, {0.435259, 0.383347, 0.814613},
{0.990155, 0.0594093, -0.12674}, {-0.0900124, 0.565078, -0.820113},
{0.877974, 0.321742, -0.354462}, {-0.292866, -0.348273, -0.89047},
{-0.493484, -0.626647, 0.603148}, {-0.018251, -0.748291, 0.66312},
{0.442048, -0.191684, 0.876271}, {-0.039175, -0.415255, -0.908861},
{-0.375172, -0.875401, 0.304827}, {0.816216, -0.575061, 0.0556511},
{0.688177, 0.478367, -0.545506}, {-0.519943, -0.0310413, 0.853637},
{0.732517, 0.677232, -0.0691053}, {-0.387999, -0.383872, 0.837913},
{-0.495871, 0.602129, -0.625742}, {-0.557869, -0.825864, -0.0820395},
{-0.252615, 0.959939, -0.121255}, {0.656728, -0.682583, 0.320607},
{-0.0722408, 0.995318, -0.0642141}, {0.0264206, 0.970958, 0.237786},
{0.566363, -0.257857, -0.782779}, {-0.79241, 0.608663, -0.0401947},
{-0.61328, -0.789435, -0.026097}, {0.621471, -0.777896, 0.0930093},
{0.179964, 0.439912, -0.879824}, {0.920163, -0.387437, 0.0565012},
{0.731388, 0.427997, 0.530933}, {0.696311, -0.575795, 0.428499},
{0.714037, 0.409693, -0.567718}, {-0.954945, 0.296734, 0.00539517},
{-0.261215, 0.931668, -0.252508}, {-0.0466522, 0.419869, 0.906385},
{0.901551, -0.353311, -0.249754}, {-0.0734223, -0.682827, -0.726881},
{0.789875, 0.490128, -0.368608}, {-0.842201, -0.191409, 0.504044},
{0.768506, 0.286146, 0.572292}, {0.659914, -0.611391, -0.436708},
{0.637383, -0.174766, 0.750467}, {0.0181811, -0.645428, -0.763605},
{0.903195, 0.428914, -0.0164967}, {-0.680163, 0.216645, -0.700316},
{0.157334, 0.875823, 0.456267}, {-0.725857, 0.488843, -0.483905},
{-0.268821, -0.604847, -0.749597}, {-0.206278, 0.56349, -0.799955},
{-0.759064, -0.586905, 0.281715}, {-0.626585, 0.779282, -0.0105308},
{0.453898, 0.841373, 0.293373}, {0.335068, -0.687101, -0.644687},
{0.605501, -0.70011, 0.378438}, {0.368652, 0.741971, 0.559978},
{0.200715, -0.0821105, 0.976203}, {0.870031, -0.487923, 0.0705431},
{0.657558, -0.307665, -0.687721}, {-0.803072, 0.317494, -0.504255},
{-0.940811, -0.338894, 0.00505812}, {0.945164, -0.219413, -0.241917},
{0.543321, -0.628883, 0.556155}, {0.117745, -0.781828, 0.612275},
{-0.162865, 0.35381, -0.921029}, {0.625338, 0.695941, -0.353013},
{0.823315, 0.476656, 0.308141}, {-0.586069, -0.138442, 0.798346},
{-0.991332, 0.097024, -0.0885871}, {-0.781887, -0.414443, 0.465714},
{-0.370439, -0.928134, -0.0366369}, {0.371806, 0.87668, -0.305273},
{0.0246669, -0.999011, -0.0370004}, {-0.777502, -0.622795, -0.0872707},
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};
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