Created
November 28, 2017 22:53
-
-
Save SimonDanisch/89779b923d77a4ecdf61246cbe24611b to your computer and use it in GitHub Desktop.
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
#= | |
# Perlin noise ported from: https://github.com/caseman/noise | |
# with the license: | |
Copyright (c) 2008 Casey Duncan | |
Permission is hereby granted, free of charge, to any person obtaining a copy | |
of this software and associated documentation files (the "Software"), to deal | |
in the Software without restriction, including without limitation the rights | |
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell | |
copies of the Software, and to permit persons to whom the Software is | |
furnished to do so, subject to the following conditions: | |
The above copyright notice and this permission notice shall be included in all | |
copies or substantial portions of the Software. | |
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR | |
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, | |
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE | |
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER | |
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, | |
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE | |
SOFTWARE. | |
=# | |
const F2 = 0.5 * (sqrt(3.0) - 1.0) | |
const G2 = (3.0 - sqrt(3.0)) / 6.0 | |
const F4 = (sqrt(5.0f0) - 1.0f0) / 4.0f0 | |
const G4 = (5.0f0 - sqrt(5.0f0)) / 20.0f0 | |
const SIMPLEX = [ | |
(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) | |
] | |
const GRAD4 = NTuple{4, Float32}[ | |
(0,1,1,1), (0,1,1,-1), (0,1,-1,1), (0,1,-1,-1), | |
(0,-1,1,1), (0,-1,1,-1), (0,-1,-1,1), (0,-1,-1,-1), | |
(1,0,1,1), (1,0,1,-1), (1,0,-1,1), (1,0,-1,-1), | |
(-1,0,1,1), (-1,0,1,-1), (-1,0,-1,1), (-1,0,-1,-1), | |
(1,1,0,1), (1,1,0,-1), (1,-1,0,1), (1,-1,0,-1), | |
(-1,1,0,1), (-1,1,0,-1), (-1,-1,0,1), (-1,-1,0,-1), | |
(1,1,1,0), (1,1,-1,0), (1,-1,1,0), (1,-1,-1,0), | |
(-1,1,1,0), (-1,1,-1,0), (-1,-1,1,0), (-1,-1,-1,0) | |
] | |
const PERM = [ | |
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, 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 | |
] | |
dot4(v1, x, y, z, w) = ((v1)[0]*(x) + (v1)[1]*(y) + (v1)[2]*(z) + (v1)[3]*(w)) | |
function noise4(x, y, z, w) | |
s = (x + y + z + w) * F4; | |
i = floor(x + s); | |
j = floor(y + s); | |
k = floor(z + s); | |
l = floor(w + s); | |
t = (i + j + k + l) * G4; | |
x0 = x - (i - t); | |
y0 = y - (j - t); | |
z0 = z - (k - t); | |
w0 = w - (l - t); | |
c = (x0 > y0)*32 + (x0 > z0)*16 + (y0 > z0)*8 + (x0 > w0)*4 + (y0 > w0)*2 + (z0 > w0) | |
c += 1 | |
i1 = SIMPLEX[c][1] >= 3 | |
j1 = SIMPLEX[c][2] >= 3 | |
k1 = SIMPLEX[c][3] >= 3 | |
l1 = SIMPLEX[c][4] >= 3 | |
i2 = SIMPLEX[c][1] >= 2 | |
j2 = SIMPLEX[c][2] >= 2 | |
k2 = SIMPLEX[c][3] >= 2 | |
l2 = SIMPLEX[c][4] >= 2 | |
i3 = SIMPLEX[c][1] >= 1 | |
j3 = SIMPLEX[c][2] >= 1 | |
k3 = SIMPLEX[c][3] >= 1 | |
l3 = SIMPLEX[c][4] >= 1 | |
x1 = x0 - i1 + G4; | |
y1 = y0 - j1 + G4; | |
z1 = z0 - k1 + G4; | |
w1 = w0 - l1 + G4; | |
x2 = x0 - i2 + 2.0f0*G4; | |
y2 = y0 - j2 + 2.0f0*G4; | |
z2 = z0 - k2 + 2.0f0*G4; | |
w2 = w0 - l2 + 2.0f0*G4; | |
x3 = x0 - i3 + 3.0f0*G4; | |
y3 = y0 - j3 + 3.0f0*G4; | |
z3 = z0 - k3 + 3.0f0*G4; | |
w3 = w0 - l3 + 3.0f0*G4; | |
x4 = x0 - 1.0f0 + 4.0f0*G4; | |
y4 = y0 - 1.0f0 + 4.0f0*G4; | |
z4 = z0 - 1.0f0 + 4.0f0*G4; | |
w4 = w0 - 1.0f0 + 4.0f0*G4; | |
I = Int(i) & 255; | |
J = Int(j) & 255; | |
K = Int(k) & 255; | |
L = Int(l) & 255; | |
gi0 = PERM[1 + I + PERM[1 + J + PERM[1 + K + PERM[1 + L]]]] & 0x1f; | |
gi1 = PERM[1 + I + i1 + PERM[1 + J + j1 + PERM[1 + K + k1 + PERM[1 + L + l1]]]] & 0x1f; | |
gi2 = PERM[1 + I + i2 + PERM[1 + J + j2 + PERM[1 + K + k2 + PERM[1 + L + l2]]]] & 0x1f; | |
gi3 = PERM[1 + I + i3 + PERM[1 + J + j3 + PERM[1 + K + k3 + PERM[1 + L + l3]]]] & 0x1f; | |
gi4 = PERM[1 + I + 1 + PERM[1 + J + 1 + PERM[1 + K + 1 + PERM[1 + L + 1]]]] & 0x1f; | |
t0 = 0.6f0 - x0*x0 - y0*y0 - z0*z0 - w0*w0; | |
noise1, noise2, noise3, noise4, noise5 = 0f0, 0f0, 0f0, 0f0, 0f0 | |
if t0 >= 0.0f0 | |
t0 *= t0; | |
noise1 = t0 * t0 * dot(Vec4f0(GRAD4[gi0 + 1]), Vec4f0(x0, y0, z0, w0)) | |
end | |
t1 = 0.6f0 - x1*x1 - y1*y1 - z1*z1 - w1*w1; | |
if t1 >= 0.0f0 | |
t1 *= t1; | |
noise2 = t1 * t1 * dot(Vec4f0(GRAD4[gi1 + 1]), Vec4f0(x1, y1, z1, w1)) | |
end | |
t2 = 0.6f0 - x2*x2 - y2*y2 - z2*z2 - w2*w2; | |
if t2 >= 0.0f0 | |
t2 *= t2; | |
noise3 = t2 * t2 * dot(Vec4f0(GRAD4[gi2 + 1]), Vec4f0(x2, y2, z2, w2)) | |
end | |
t3 = 0.6f0 - x3*x3 - y3*y3 - z3*z3 - w3*w3; | |
if t3 >= 0.0f0 | |
t3 *= t3; | |
noise4 = t3 * t3 * dot(Vec4f0(GRAD4[gi3 + 1]), Vec4f0(x3, y3, z3, w3)) | |
end | |
t4 = 0.6f0 - x4*x4 - y4*y4 - z4*z4 - w4*w4; | |
if t4 >= 0.0f0 | |
t4 *= t4; | |
noise5 = t4 * t4 * dot(Vec4f0(GRAD4[gi4 + 1]), Vec4f0(x4, y4, z4, w4)) | |
end | |
return 27.0 * (noise1 + noise2 + noise3 + noise4 + noise5) | |
end | |
function noise4(x, y, z, w, octaves, persistence = 0.5f0, lacunarity = 2f0) | |
freq = 1.0f0 | |
amp = 1.0f0 | |
max = 1.0f0 | |
total = noise4(x, y, z, w); | |
for i = 1:(octaves-1) | |
freq *= lacunarity | |
amp *= persistence | |
max += amp | |
total += noise4(x * freq, y * freq, z * freq, w * freq) * amp | |
end | |
return total / max; | |
end |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment