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Add SimplexNoise4D.kt

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This commit is contained in:
Abe Pazos
2020-03-06 11:31:48 +01:00
parent c483ec57b3
commit 961fb325d8
3 changed files with 114 additions and 1 deletions
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7
orx-noise/README.md
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@@ -67,6 +67,11 @@ val v2 = simplexHermite(seed, x, y)
val v3 = simplexLinear(seed, x, y, z)
val v4 = simplexQuintic(seed, x, y, z)
val v5 = simplexHermite(seed, x, y ,z)
// -- 4d
val v6 = simplexLinear(seed, x, y, z, w)
val v7 = simplexQuintic(seed, x, y, z, w)
val v8 = simplexHermite(seed, x, y, z, w)
```
### Cubic noise
@@ -120,4 +125,4 @@ val v2 = billow(seed, x, y, ::perlinLinear, octaves, lacunarity, gain)
val v3 = billow(seed, x, y, z, ::perlinLinear, octaves, lacunarity, gain)
val v4 = billow(seed, x, y, z, ::perlinLinear, octaves, lacunarity, gain)
val v5 = billow(seed, x, y, z, ::perlinLinear, octaves, lacunarity, gain)
```
```

4
orx-noise/src/main/kotlin/Random.kt
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@@ -202,6 +202,10 @@ object Random {
fun simplex(x: Double, y: Double, z: Double): Double {
return simplex(stringToInt(seed), x, y, z)
}
fun simplex(x: Double, y: Double, z: Double, w: Double): Double {
return simplex(stringToInt(seed), x, y, z, w)
}
fun fbm(x: Double, y: Double, noiseFun: (Int, Double, Double) -> Double, type: Fractal = Fractal.FBM,
octaves: Int = 8, lacunarity: Double = 0.5, gain: Double = 0.5): Double {

104
orx-noise/src/main/kotlin/SimplexNoise4D.kt Normal file
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@@ -0,0 +1,104 @@
import org.openrndr.extra.noise.fastFloor
import org.openrndr.extra.noise.gradCoord4D
private val SIMPLEX_4D = byteArrayOf(
0, 1, 2, 3, 0, 1, 3, 2, 0, 0, 0, 0, 0, 2, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 0,
0, 2, 1, 3, 0, 0, 0, 0, 0, 3, 1, 2, 0, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 2, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
1, 2, 0, 3, 0, 0, 0, 0, 1, 3, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 0, 1, 2, 3, 1, 0,
1, 0, 2, 3, 1, 0, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 3, 1, 0, 0, 0, 0, 2, 1, 3, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
2, 0, 1, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 1, 2, 3, 0, 2, 1, 0, 0, 0, 0, 3, 1, 2, 0,
2, 1, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 1, 0, 2, 0, 0, 0, 0, 3, 2, 0, 1, 3, 2, 1, 0
)
private val F4 = ((2.23606797 - 1.0) / 4.0)
private val G4 = ((5.0 - 2.23606797) / 20.0)
fun simplex(seed: Int, x: Double, y: Double, z: Double, w: Double): Double {
var t = (x + y + z + w) * F4
val i = (x + t).fastFloor()
val j = (y + t).fastFloor()
val k = (z + t).fastFloor()
val l = (w + t).fastFloor()
val t2 = (i + j + k + l) * G4
val x0 = x - (i - t2)
val y0 = y - (j - t2)
val z0 = z - (k - t2)
val w0 = w - (l - t2)
var c = if (x0 > y0) 32 else 0
c += if (x0 > z0) 16 else 0
c += if (y0 > z0) 8 else 0
c += if (x0 > w0) 4 else 0
c += if (y0 > w0) 2 else 0
c += if (z0 > w0) 1 else 0
c = c shl 2
val i1 = if (SIMPLEX_4D[c] >= 3) 1 else 0
val i2 = if (SIMPLEX_4D[c] >= 2) 1 else 0
val i3 = if (SIMPLEX_4D[c++] >= 1) 1 else 0
val j1 = if (SIMPLEX_4D[c] >= 3) 1 else 0
val j2 = if (SIMPLEX_4D[c] >= 2) 1 else 0
val j3 = if (SIMPLEX_4D[c++] >= 1) 1 else 0
val k1 = if (SIMPLEX_4D[c] >= 3) 1 else 0
val k2 = if (SIMPLEX_4D[c] >= 2) 1 else 0
val k3 = if (SIMPLEX_4D[c++] >= 1) 1 else 0
val l1 = if (SIMPLEX_4D[c] >= 3) 1 else 0
val l2 = if (SIMPLEX_4D[c] >= 2) 1 else 0
val l3 = if (SIMPLEX_4D[c] >= 1) 1 else 0
val x1 = x0 - i1 + G4
val y1 = y0 - j1 + G4
val z1 = z0 - k1 + G4
val w1 = w0 - l1 + G4
val x2 = x0 - i2 + 2 * G4
val y2 = y0 - j2 + 2 * G4
val z2 = z0 - k2 + 2 * G4
val w2 = w0 - l2 + 2 * G4
val x3 = x0 - i3 + 3 * G4
val y3 = y0 - j3 + 3 * G4
val z3 = z0 - k3 + 3 * G4
val w3 = w0 - l3 + 3 * G4
val x4 = x0 - 1 + 4 * G4
val y4 = y0 - 1 + 4 * G4
val z4 = z0 - 1 + 4 * G4
val w4 = w0 - 1 + 4 * G4
val n0: Double
val n1: Double
val n2: Double
val n3: Double
val n4: Double
t = 0.6 - x0 * x0 - y0 * y0 - z0 * z0 - w0 * w0
if (t < 0) n0 = 0.0 else {
t *= t
n0 = t * t * gradCoord4D(seed, i, j, k, l, x0, y0, z0, w0)
}
t = 0.6 - x1 * x1 - y1 * y1 - z1 * z1 - w1 * w1
if (t < 0) n1 = 0.0 else {
t *= t
n1 = t * t * gradCoord4D(seed, i + i1, j + j1, k + k1, l + l1, x1, y1, z1, w1)
}
t = 0.6 - x2 * x2 - y2 * y2 - z2 * z2 - w2 * w2
if (t < 0) n2 = 0.0 else {
t *= t
n2 = t * t * gradCoord4D(seed, i + i2, j + j2, k + k2, l + l2, x2, y2, z2, w2)
}
t = 0.6 - x3 * x3 - y3 * y3 - z3 * z3 - w3 * w3
if (t < 0) n3 = 0.0 else {
t *= t
n3 = t * t * gradCoord4D(seed, i + i3, j + j3, k + k3, l + l3, x3, y3, z3, w3)
}
t = 0.6 - x4 * x4 - y4 * y4 - z4 * z4 - w4 * w4
if (t < 0) n4 = 0.0 else {
t *= t
n4 = t * t * gradCoord4D(seed, i + 1, j + 1, k + 1, l + 1, x4, y4, z4, w4)
}
return 27 * (n0 + n1 + n2 + n3 + n4)
}