Task: Perlin noise




Go: package main

import (
    "fmt"
    "math"
)

func main() {
    fmt.Println(noise(3.14, 42, 7))
}

func noise(x, y, z float64) float64 {
    X := int(math.Floor(x)) & 255
    Y := int(math.Floor(y)) & 255
    Z := int(math.Floor(z)) & 255
    x -= math.Floor(x)
    y -= math.Floor(y)
    z -= math.Floor(z)
    u := fade(x)
    v := fade(y)
    w := fade(z)
    A := p[X] + Y
    AA := p[A] + Z
    AB := p[A+1] + Z
    B := p[X+1] + Y
    BA := p[B] + Z
    BB := p[B+1] + Z
    return lerp(w, lerp(v, lerp(u, grad(p[AA], x, y, z),
        grad(p[BA], x-1, y, z)),
        lerp(u, grad(p[AB], x, y-1, z),
            grad(p[BB], x-1, y-1, z))),
        lerp(v, lerp(u, grad(p[AA+1], x, y, z-1),
            grad(p[BA+1], x-1, y, z-1)),
            lerp(u, grad(p[AB+1], x, y-1, z-1),
                grad(p[BB+1], x-1, y-1, z-1))))
}
func fade(t float64) float64       { return t * t * t * (t*(t*6-15) + 10) }
func lerp(t, a, b float64) float64 { return a + t*(b-a) }
func grad(hash int, x, y, z float64) float64 {
    
    
    
    switch hash & 15 {
    case 0, 12:
        return x + y
    case 1, 14:
        return y - x
    case 2:
        return x - y
    case 3:
        return -x - y
    case 4:
        return x + z
    case 5:
        return z - x
    case 6:
        return x - z
    case 7:
        return -x - z
    case 8:
        return y + z
    case 9, 13:
        return z - y
    case 10:
        return y - z
    }
    
    return -y - z
}

var permutation = []int{
    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,
}
var p = append(permutation, permutation...)




Python: import math

def perlin_noise(x, y, z):
    X = math.floor(x) & 255                  
    Y = math.floor(y) & 255                  
    Z = math.floor(z) & 255
    x -= math.floor(x)                                
    y -= math.floor(y)                                
    z -= math.floor(z)
    u = fade(x)                                
    v = fade(y)                                
    w = fade(z)
    A = p[X  ]+Y; AA = p[A]+Z; AB = p[A+1]+Z      
    B = p[X+1]+Y; BA = p[B]+Z; BB = p[B+1]+Z      
 
    return lerp(w, lerp(v, lerp(u, grad(p[AA  ], x  , y  , z   ),  
                                   grad(p[BA  ], x-1, y  , z   )), 
                           lerp(u, grad(p[AB  ], x  , y-1, z   ),  
                                   grad(p[BB  ], x-1, y-1, z   ))),
                   lerp(v, lerp(u, grad(p[AA+1], x  , y  , z-1 ),  
                                   grad(p[BA+1], x-1, y  , z-1 )), 
                           lerp(u, grad(p[AB+1], x  , y-1, z-1 ),
                                   grad(p[BB+1], x-1, y-1, z-1 ))))
                                   
def fade(t): 
    return t ** 3 * (t * (t * 6 - 15) + 10)
    
def lerp(t, a, b):
    return a + t * (b - a)
    
def grad(hash, x, y, z):
    h = hash & 15                      
    u = x if h<8 else y                
    v = y if h<4 else (x if h in (12, 14) else z)
    return (u if (h&1) == 0 else -u) + (v if (h&2) == 0 else -v)

p = [None] * 512
permutation = [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]
for i in range(256):
    p[256+i] = p[i] = permutation[i]

if __name__ == '__main__':
    print("%1.17f" % perlin_noise(3.14, 42, 7))