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cubic.dart
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import 'package:fast_noise/fast_noise.dart';
class CubicNoise implements Noise2And3 {
final int seed;
final double frequency;
CubicNoise({
this.seed = 1337,
this.frequency = .01,
});
@override
double getNoise3(double x, double y, double z) =>
singleCubic3(seed, x * frequency, y * frequency, z * frequency);
static const double _cubic3dBounding = 1.0 / (1.5 * 1.5 * 1.5);
double singleCubic3(int seed, double x, double y, double z) {
final x1 = x.floor();
final y1 = y.floor();
final z1 = z.floor();
final x0 = x1 - 1;
final y0 = y1 - 1;
final z0 = z1 - 1;
final x2 = x1 + 1;
final y2 = y1 + 1;
final z2 = z1 + 1;
final x3 = x1 + 2;
final y3 = y1 + 2;
final z3 = z1 + 2;
final xs = x - x1;
final ys = y - y1;
final zs = z - z1;
return zs.cubicLerp(
ys.cubicLerp(
xs.cubicLerp(
valCoord3D(seed, x0, y0, z0),
valCoord3D(seed, x1, y0, z0),
valCoord3D(seed, x2, y0, z0),
valCoord3D(seed, x3, y0, z0),
),
xs.cubicLerp(
valCoord3D(seed, x0, y1, z0),
valCoord3D(seed, x1, y1, z0),
valCoord3D(seed, x2, y1, z0),
valCoord3D(seed, x3, y1, z0),
),
xs.cubicLerp(
valCoord3D(seed, x0, y2, z0),
valCoord3D(seed, x1, y2, z0),
valCoord3D(seed, x2, y2, z0),
valCoord3D(seed, x3, y2, z0),
),
xs.cubicLerp(
valCoord3D(seed, x0, y3, z0),
valCoord3D(seed, x1, y3, z0),
valCoord3D(seed, x2, y3, z0),
valCoord3D(seed, x3, y3, z0),
),
),
ys.cubicLerp(
xs.cubicLerp(
valCoord3D(seed, x0, y0, z1),
valCoord3D(seed, x1, y0, z1),
valCoord3D(seed, x2, y0, z1),
valCoord3D(seed, x3, y0, z1),
),
xs.cubicLerp(
valCoord3D(seed, x0, y1, z1),
valCoord3D(seed, x1, y1, z1),
valCoord3D(seed, x2, y1, z1),
valCoord3D(seed, x3, y1, z1),
),
xs.cubicLerp(
valCoord3D(seed, x0, y2, z1),
valCoord3D(seed, x1, y2, z1),
valCoord3D(seed, x2, y2, z1),
valCoord3D(seed, x3, y2, z1),
),
xs.cubicLerp(
valCoord3D(seed, x0, y3, z1),
valCoord3D(seed, x1, y3, z1),
valCoord3D(seed, x2, y3, z1),
valCoord3D(seed, x3, y3, z1),
),
),
ys.cubicLerp(
xs.cubicLerp(
valCoord3D(seed, x0, y0, z2),
valCoord3D(seed, x1, y0, z2),
valCoord3D(seed, x2, y0, z2),
valCoord3D(seed, x3, y0, z2),
),
xs.cubicLerp(
valCoord3D(seed, x0, y1, z2),
valCoord3D(seed, x1, y1, z2),
valCoord3D(seed, x2, y1, z2),
valCoord3D(seed, x3, y1, z2),
),
xs.cubicLerp(
valCoord3D(seed, x0, y2, z2),
valCoord3D(seed, x1, y2, z2),
valCoord3D(seed, x2, y2, z2),
valCoord3D(seed, x3, y2, z2),
),
xs.cubicLerp(
valCoord3D(seed, x0, y3, z2),
valCoord3D(seed, x1, y3, z2),
valCoord3D(seed, x2, y3, z2),
valCoord3D(seed, x3, y3, z2),
),
),
ys.cubicLerp(
xs.cubicLerp(
valCoord3D(seed, x0, y0, z3),
valCoord3D(seed, x1, y0, z3),
valCoord3D(seed, x2, y0, z3),
valCoord3D(seed, x3, y0, z3),
),
xs.cubicLerp(
valCoord3D(seed, x0, y1, z3),
valCoord3D(seed, x1, y1, z3),
valCoord3D(seed, x2, y1, z3),
valCoord3D(seed, x3, y1, z3),
),
xs.cubicLerp(
valCoord3D(seed, x0, y2, z3),
valCoord3D(seed, x1, y2, z3),
valCoord3D(seed, x2, y2, z3),
valCoord3D(seed, x3, y2, z3),
),
xs.cubicLerp(
valCoord3D(seed, x0, y3, z3),
valCoord3D(seed, x1, y3, z3),
valCoord3D(seed, x2, y3, z3),
valCoord3D(seed, x3, y3, z3),
),
),
) *
_cubic3dBounding;
}
@override
double getNoise2(double x, double y) {
final dx = x * frequency;
final dy = y * frequency;
return singleCubic2(seed, dx, dy);
}
static const double _cubic2dBounding = 1.0 / (1.5 * 1.5);
double singleCubic2(int seed, double x, double y) {
final x1 = x.floor();
final y1 = y.floor();
final x0 = x1 - 1;
final y0 = y1 - 1;
final x2 = x1 + 1;
final y2 = y1 + 1;
final x3 = x1 + 2;
final y3 = y1 + 2;
final xs = x - x1;
final ys = y - y1;
return ys.cubicLerp(
xs.cubicLerp(
valCoord2D(seed, x0, y0),
valCoord2D(seed, x1, y0),
valCoord2D(seed, x2, y0),
valCoord2D(seed, x3, y0),
),
xs.cubicLerp(
valCoord2D(seed, x0, y1),
valCoord2D(seed, x1, y1),
valCoord2D(seed, x2, y1),
valCoord2D(seed, x3, y1),
),
xs.cubicLerp(
valCoord2D(seed, x0, y2),
valCoord2D(seed, x1, y2),
valCoord2D(seed, x2, y2),
valCoord2D(seed, x3, y2),
),
xs.cubicLerp(
valCoord2D(seed, x0, y3),
valCoord2D(seed, x1, y3),
valCoord2D(seed, x2, y3),
valCoord2D(seed, x3, y3),
),
) *
_cubic2dBounding;
}
}